Answers
For geometric shape no.4,∠1=26°,∠2=154°,∠3=26°,∠4=26°,
∠5=154°,∠6=154°,∠7=26°.
What are geometric shapes?
In Mathematics, Geometric shapes are the figures which demonstrate the shape of the objects we see in our everyday life. In geometry, shapes are the forms of objects which have boundary lines, angles and surfaces. There are different types of 2d shapes and 3d shapes.
Shapes are also classified with respect to their regularity or uniformity. A regular shape is usually symmetrical such as a square, circle, etc. Irregular shapes are asymmetrical. They are also called freeform shapes or organic shapes. For example, the shape of a tree is irregular or organic.
In plane geometry, the two-dimensional shapes are flat shapes and closed figures such as circles, squares, rectangles, rhombus, etc. In solid geometry, the three-dimensional shapes are cube, cuboid, cone, sphere and cylinder. We can observe all these shapes in our daily existence also. For example books (cuboid shape), glasses (cylindrical shape), traffic cones (conical shape) and so on.
Now,
∠1+154°=180° -->∠1=26° (supplementary angles)
∠1=∠3 (opposite angles) -->∠3=26°
∠2+∠3=180°
∠2=154°
∠1=∠7 --->∠7=26°
∠7+∠6=180° (supplementary angles)
∠6=154°
∠5+∠7=180° (supplementary angles)
∠5=154°
∠4+∠5=180° (supplementary angles)
∠4=26°
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Related Questions
A square has a diagonal that is 22 m long. What is the area of the square?
If necessary, round your answer to the nearest whole number.
Answers
If it is a right triangle, we can use the Pythagorean theorem.
a^2 + b^2 =c^2
If a = b (sides of a square are equal) then we can do
2( a^2) =22^2
2 (a^2) = 484
Divide by 2
a^2 = 242
Because Area of a square = length^2, and in this case a = the length, the area is 242.
pls solve this I will give Brainly
Answers
Answer:
42
Step-by-step explanation:
(2x + 3) = 7
7x7=49
note:the other 7 is from the exponent 2
49-7=42
there were x quarts of liquid in a con-tainer. first, 3 4 of the liquid in the container was removed. then another 1 2 quart was poured into the container. write an expression in terms of x for the number of quarts of liquid in the container at the end. then write another equivalent expres-sion.explain
Answers
The another equivalent expression of total liquid is (x+2)/4.
Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.
x quarts liquid in the container 3/4 part of liquid is removed
Then remaining liquid in container = X - [tex]\frac{3}{4}X[/tex]
Then remaining liquid in container = x/4quarts
Another 1/2 quart is poured into container
Then total liquid = [tex]X-\frac{3}{4}X+\frac{1}{2}[/tex] quarts
total liquid = [tex]\frac{X+2}{4}[/tex] quarts
So, then the another equivalent expression of total liquid is (x+2)/4.
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Solve the inequality + 6 > -3.
A x < -2
B x > -2
C x < 12
D x > 12
Answers
The solution to the inequality is (b) x > -2
How to determine the solution to the inequalityFrom the question, we have the following parameters that can be used in our computation:
4.5x + 6 > -3
Collect the like terms
So, we have the following representation
4.5x > - 3 - 6
Evaluate the like terms
This gives
4.5x > -9
Divide both sides by 4.5
x > -2
Hence, the solution is (b) x > -2
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Name each angle in four ways. Then classify the angle as acute, right, obtuse, or straight
Answers
Classification of all the angles in four different ways along with name are:
1. ∠ABC, ∠CBA, ∠B, ∠1 and the name is right angle.
2. ∠DEF, ∠FED, ∠E, ∠2 and the name is obtuse angle.
3. ∠LMN, ∠NML, ∠M, ∠3 and the name is straight angle.
4. ∠XYZ, ∠ZYX, ∠Y, ∠4 and the name is acute angle.
5. ∠KLM, ∠MLK, ∠L, ∠5 and the name is acute angle.
6. ∠RST, ∠TSR, ∠S, ∠6 and the name is obtuse angle.
Figure is attached.
Classification of the all the angles in the attached figure in four different ways with their names are:
1. Different name of the angles : ∠ABC, ∠CBA, ∠B, ∠1 .
Measure of the angle is 90°, it is right angle.
2. Different name of the angles : ∠DEF, ∠FED, ∠E, ∠2
Measure of the angle is more than 90°, it is obtuse angle.
3. Different name of the angles : ∠LMN, ∠NML, ∠M, ∠3
Measure of the angle is 180°, it is straight angle.
4. Different name of the angles : ∠XYZ, ∠ZYX, ∠Y, ∠4
Measure of the angle is less than 90°, it is acute angle.
5. Different name of the angles : ∠KLM, ∠MLK, ∠L, ∠5
Measure of the angle is less than 90°, it is acute angle.
6. 2. Different name of the angles : ∠RST, ∠TSR, ∠S, ∠6
Measure of the angle is more than 90°, it is obtuse angle.
Therefore, as per the classification of the given angles different ways to represent them are:
1. ∠ABC, ∠CBA, ∠B, ∠1 , right angle.
2. ∠DEF, ∠FED, ∠E, ∠2 , obtuse angle.
3. ∠LMN, ∠NML, ∠M, ∠3 , straight angle.
4. ∠XYZ, ∠ZYX, ∠Y, ∠4, acute angle.
5. ∠KLM, ∠MLK, ∠L, ∠5 , acute angle.
6. ∠RST, ∠TSR, ∠S, ∠6 ,obtuse angle.
The above question is incomplete , the complete question is :
Name each angle in four ways. Then classify the angle as acute, right, obtuse, or straight.
Attached figure.
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How much larger is the digit 3 in 903.7 than the value of the digit 3 in 4.31?
Answers
Answer:
10 times larger.
The 3 in 903.7 is in the ones place, and the 3 in 4.31 is in the tenths place, which is to the left of the decimal one time.
If you were to move the 3 in 4.31 to the right of the decimal like where the 3 is in 903.7, then you would be increasing the 3s value by 10.
Step-by-step explanation:
Hope it helps! =D
What are two additional questions that would be meaningful to drill down into with this same dataset, given what you've seen so far?
Answers
The two additional questions that would be meaningful to drill down into with this same dataset is that What type of variation occurs within my variables? and What type of covariation occurs between my variables?.
The term data set is defined as a collection of related sets of information that is composed of separate elements but can be manipulated as a unit by a computer.
Here we need to find the two additional questions that would be meaningful to drill down into with this same dataset,
As per the definition we have know that the question that need to be asked over the data set are listed as follows:
They are type of variation occurs within my variables and the type of covariation occurs between my variables.
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What blood types can someone with type A blood donate to? (select all that
apply)
Answers
Blood types A and AB are receivers from someone with type A blood donors.
What is blood type?
There are four major blood groups determined by the presence or absence of two antigens, A and B, on the surface of red blood cells. In addition to the A and B antigens, there is a protein called the Rh factor, which can be either present (+) or absent (–), creating the 8 most common blood types (A+, A-, B+, B-, O+, O-, AB+, AB-).
Someone with blood type A can donate blood to individuals with blood types A and AB.
This is because type A blood has the A antigen on the red blood cells and type AB has both A and B antigens.
While type A blood doesn't have the B antigen which is present in type B and AB blood, so it cannot be donated to those with type B or type B.
It's important to note that there are also positive and negative blood types, which are determined by the presence or absence of the Rh (Rhesus) antigen on the red blood cells.
So, someone with type A negative blood can only donate to individuals with type A negative or type AB negative blood.
Therefore, for A type blood donors can donate to A and AB blood type.
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a room has dimensions of 9.15 meters by 9.4 meters by 3.68 meters. what is the volume of the room in cm^3?
Answers
The room with the given dimensions has a volume of 316, 516, 800 cm^3.
The volume of a room is a measure of the amount of space inside it, and it is calculated by multiplying the length, width, and height of the room.
In this case, the room has dimensions of 9.15 meters by 9.4 meters by 3.68 meters.
To find the volume of the room in cm^3, we first need to convert the dimensions of the room from meters to centimeters.
1 meter is equal to 100 centimeters, so
9.15 meters is equivalent to 915 centimeters,
9.4 meters is equivalent to 940 centimeters,
and 3.68 meters is equivalent to 368 centimeters.
Once we have the dimensions in centimeters, we can calculate the volume by multiplying the length, width, and height:
915 cm x 940 cm x 368 cm = 316, 516, 800 cm^3.
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NEED HELP ASAP!!
When Lisa runs, she takes 80 steps in 100 meters. How far has Lisa run when she has taken 2500 steps. Round to kilometers
Answers
Answer 0.000032 km
Step-by-step explanation: divide
question is in the picture below
Answers
Answer:
C
Step-by-step explanation:
NUMber 5
If you eplain how you didi it I put you as brianliest
Answers
Answer:
y=1/2x+2
Step-by-step explanation:
given the 2 equations, you know the following:
when x=2, you get a value of 3, let's call it Y
same with the next equation: when x=6, Y = 5
so the slope will be the diff b/w ys and then divided by diff of x's
so 5-3=2 is the diff of y
6-2=4 is the diff of x
divide 2/4 = 1/2 so the slope is 1/2
then you know the equation would be something like y=1/2 x but then you need to decide the intercept
1/2 of x when x=6 is 3, but Y =5
so you know the intercept is 2..
so the linear f(x) would be y=1/2x+2
done
What is the relations between
[tex] \leqslant [/tex]
AXE and
[tex] \leqslant [/tex]
EXD this figure
Answers
The m∠EXD and m∠AXE are the supplementary angles.
The two angles will be linear pairs if the sum is 180° therefore, linear pair of 62° is 118°. The value of x in the figure is 113°
An angle is a geometry in plane geometry that is created by 2 rays or lines that have an identical terminus.
The identical endpoint of the two rays—known as the vertex—is referenced as an angle's sides.
01)
Two angles will be linear pairs if their sum is 180°.
If the first angle is 62° then the second will be 180° - 62° = 118°
Hence "The two angles will be linear pairs if the sum is 180° therefore, linear pair of 62° is 118°".
02)
The angle x is in the same line with supplementary angle 67° so
x = 180 - 67 = 113°.
Hence "The value of x in the figure is 113°".
03)
In the figure, AXD is a straight line, therefore,
m∠EXD + m∠AXE = 180°
Since the sum of two angles is 180° then they are called supplementary angles.
Hence "The m∠EXD and m∠AXE are the supplementary angles".
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The roof shingles are arranged so that each row has 7 fewer shingles than the row below it. If the first row has 75 shingles, how many shingles are in the 6th row?
Answers
Answer:110
Step-by-step explanation: Add 7 shingles every row you go up.
Row 1=75
2=82
3=89
4=96
5=103
6=110
Answer:
33
Step-by-step explanation:
it starts with 75 and decreases by 7 for each row. on the 6th row youll be at 33!
STARTS AT 75
row one: 68
row two: 61
row three:54
row four: 47
row five: 40
row six: 33
Finally, Jorge does inventory on the amount of cheese in the restaurant. He starts with Friday. That evening, 12 customers ordered cheeseburgers. Each cheeseburger uses 3/4 of a pound of cheese. The same night, 2 waiters each dropped 1.2 pounds of cheese on the ground and had to throw it away.Jorge wants to know how many pounds of cheese were used that night. He solves an equation and so does his assistant chef, Matty. Who is correct? Jorge: 12x 0.75+ 2x 1.2=13.2. Matty: (12x 0.75) + (2x 1.2 =11.4
Answers
The person who is correct is Matty: (12x 0.75) + (2x 1.2 =11.4 (second option)
Who is correct?The total pound of cheese is the total amount of of cheese used for cheeseburgers and the total amount of cheese wasted.
Total pounds of cheese = total pounds used for cheeseburgers + total cheese wasted
= (pounds of cheese needed for one cheeseburger x number of cheeseburger) + (number of waiters x pounds of cheese dropped)
= (12 x 3/4) + (1.2 x 2)
= 9 + 2.4
= 11.4 pounds
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Find a value for a that makes each statement true.
1. a ÷ 6 is greater than 1
Type a value in the box below [ ] ÷ 6 > 1
2. a ÷ 6 is equal to 1
Type a value in the box below [ ] ÷ 6 = 1
3. a ÷ 6 is less than 1
Type a value in the box below [ ] ÷ 6 < 1
4. Find a value for a that makes this statement true a ÷ 6 is equal to a whole number
Type the answer in the box below
| |
| |
| |
| |
| |________________________|
Answers
Answer:
1. a > 6
2. a = 6
3. 0 < a < 6
4. a is divisible by 6
Answer:
1. a>6 the answer could be, 7, 8, 9, 10 and it keeps going on.
2. the answer is 6
3. a<6 the answer is anything below 6 so 5, 4, 3, 2, 1, and more.
4. anything that is a multiple of 6 is true. like 6, 12, 18, 24, 30, 36, and it keeps going.
BRO MY MATH TEACHER IS ON TO ME SOMEONE HELP A family camping in a national forest builds a temporary shelter with a tarp and a 6-foot pole. The bottom of the pole is even with the ground, and one corner is staked 10 feet from the bottom of the pole. What is the slope of the tarp from that corner to the top of the pole?
Answers
To find the slope of the tarp, we can use the concept of rise over run, which is the ratio of the vertical change (the rise) to the horizontal change (the run). In this case, the rise is the distance from the corner of the tarp to the top of the pole, and the run is the distance from the corner of the tarp to the bottom of the pole.
We can use the Pythagorean theorem to find the length of the hypotenuse of the right-angled triangle formed by the corner of the tarp, the bottom of the pole and the top of the pole.
The length of the hypotenuse is the distance from the corner of the tarp to the top of the pole and the length of the adjacent side is the distance from the corner of the tarp to the bottom of the pole.
We know that:
adjacent side = 10 ft
Hypotenuse = h
Applying the Pythagorean theorem:
h^2 = 10^2 + 6^2
h = √(10^2 + 6^2)
h = √(100 + 36) = √136 = 11.66 ft
Now we can calculate the slope:
slope = rise/run = (h-10) / 6
slope = (11.66-10) / 6 = 1.66/6 = 0.277
So the slope of the tarp from the corner to the top of the pole is 0.277 or approximately 0.28.
A colony of 100 bacteria doubles in size every 60 hours what will the population be 189 hours from now
Answers
By evaluating an exponential equation, we will see that the population after 189 hours will be 888 bacteria.
What will be the population in 189 hours from now?We know that initially we have a total of 100 bacteria, and it doubles in size every 60 hours, then the population can be modeled with the exponential equation.
p(x) = 100*(2)^x
Where x is groups of 60 hours, we can rewrite:
x = t/60h
Where t is the amount of hours, and rewrite the equation as:
p(t) = 100*(2)^(t/60h)
The population in 189 hours from now willbe:
p(189 h) = 100*(2)^(198 h/60h) = 887.7
The population is 888 (where we rounded the value)
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interpret the quote never confuse the size of your paycheck with the size of your talent
Answers
Note that the quote given above simply means that an employee or worker should never equate how much they earn to how much they are actually worth. This can take on different meanings depending on whether you want to assign a positive connotation to it or a negative one.
What is a quote in Literature?A quote is a verbatim reproduction of someone else's words that is generally surrounded by quotation marks and attributed to the original author or speaker.
Quoting implies paraphrasing someone else's remarks and citing the source. You must ensure the following when quoting a source:
The quoted content is surrounded by quotation marks or shown as a block quote.The original author is properly credited.The wording is exactly the same as the original.Learn more about Quotes:
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Lin wrote this number sentence to solve a problem: 35+7-5 Which problem was Lin MOST LIKELY trying to solve?
There are 35 students in Mr. Ken's class. There are 7 students in his class who are sick today. How many students in his
class are not sick?
There are 35 students in Mr. Ken's class. During class, 7 more students join the class to watch a movie. How many
students are there in all?
There are 35 students in Mr. Ken's class. There are 7 classes in the school, each with the same number of students. How
many students are in the school?
There are 35 students in Mr. Ken's class. He made 7 groups for reading. He put an equal number of students in each
group. How many students are in each group?
Answers
Answer:
Step-by-step explanation:
Need help 7-10 asap I’m stuck on these
Answers
7. To show that VRHK is a square, one can observe that the opposite sides of the quadrilateral, VR and HK, are equal in length and the two adjacent sides, RH and VK, are also equal in length.
8. For VRHK to be a square, z must equal √2, so that VC = 6√2 and
VR = 12.
9. The length of RK is 12√2
10. The length of VK is 12√2
Give difference between sides and diagonal of square?A square is a two-dimensional, regular geometric shape with four sides of equal length and four angles of 90 degrees. The sides of a square are the four straight lines that make up the shape. The length of each side is the same as the length of the other three sides.The diagonal of a square is a line segment that connects two opposite corners of the square. The diagonal is not a side of the square, as it does not run along the same line as the other sides. The diagonal of a square is always the same length, which is the square root of the sum of the squares of the sides. This is known as the Pythagorean Theorem.The sides of a square are all equal, while the diagonal of a square is not equal to any of the sides. The length of the sides of a square is always the same, regardless of the size of the square, while the length of the diagonal of a square varies with the size of the square. The diagonal of a square is always longer than any of the sides, since it is the hypotenuse of a right triangle.Solution:
8. We can solve this problem by using the Pythagorean Theorem. We know that the sides of a square are equal, so we can set up an equation using the theorem. VC = 6z, VR = 12, and we want the hypotenuse, VRHK, to be a square. VH² = VR² + RH² = 12√2.
VC = 6z = VH/2 = 12√2/2 = 6√2
6z = 6√2
z = √2
9. The length of RK' = s√2 =12√2
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Is the relation shown in the arrow diagram a function? (0,-2) (0,1) (1,2) (2,1) (3,4)
Answers
Answer: no, not a function
Step-by-step explanation: 0 is in the input twice, and if it were a function, it would only be there once. every input can only have one output
determine the dimensions of a rectangular solid (with a square base) of maximum volume if its surface area is 150 square inches.
Answers
The rectangular solid with the maximum volume would be a cube.
The surface area of a cube = 6A,
where A = the area of any one side
hence, the area of one side = 150/6 = 25 sq in.
The length of one face,
L = 25^0.5 = 5 in.
The volume, V of a cube = L^3.
Surface area
Surface area is the amount of space covering the outside of a three-dimensional shape.
volume
Volume is a three-dimensional quantity that is used to measure the capacity of a solid shape. It means the amount of three-dimensional space a closed figure can occupy is measured by its volume.
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how much money will it cost you to drive 100.0 miles if your car gets 25.70 miles per gallon and gas costs $3.309/gallon?
Answers
It will cost $12.87 for driving 100 miles.
Based on the given problem, we have identified the given information as follows:
25.70 miles per gallon100 miles as the distance traveled by car$3.309 as the cost of gasoline per gallonThen, we identify the unknown quantity which is the total cost of gasoline, and represent this as C. Now, this can be solved by using the formula
[tex]C = \frac{distance traveled by car}{25.70 miles per gallon} * Cost of gasoline per gallon[/tex]
By substituting the given to the variable given in the formula above, we have,
[tex]C = \frac{100}{25.70} * 3.309[/tex]
C = $ 12.87
The obtained value of C is $12.87, therefore, we can conclude that it costs 12.87 dollars for driving 100 miles.
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Write an expression that only uses multiplication and that is equivalent to x reduced by 1/8 of x
Answers
The expression that only uses multiplication and that is equivalent to x reduced by 1/8 of x is: x * (1 - 1/8).
An expression in mathematics is a combination of numbers, variables, and operations that represent a value or set of values.
The expression calculates the reduction of x by 1/8 of x by subtracting 1/8 of x from x, which is x * 1/8. By subtracting this from x, the expression calculates x reduced by 1/8 of x. The expression that only uses multiplication and that is equivalent to x reduced by 1/8 of x is:
x * (1 - 1/8).
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explain briefly how the statistic can be used to make inferences about the parameter to test the claim
Answers
In statistics, we use samples to make inferences about population
That is the great advantage of the whole role of distribution. Once you know a particular situation or experiment, that you can associate to one specific distribution and compute parameters, you can obtain from a relative smaller quantity of data and with good approximation, inferences about the whole population.
Statistical inference is the method of using data analysis to infer characteristics of a probability distribution.
Inferential statistics is the branch of statistics that uses sample statistics to estimate a population parameter or test a hypothesis about such a parameter.
statistics
Statistics is the science concerned with developing and studying methods for collecting, analyzing, interpreting and presenting empirical data.
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1. In parallelogram ABCD, what is the relationship between angle a° and angle b°?
a° = b°
a° - b° = 180°
a° = -b°
a° + b° = 180°
2. In rectangle FGHK, FC = CH = 8. 5 cm. What is the area of rectangle FGHK?
8. 5cm
120cm
125. 5cm
15cm
3. In rectangle FGHK, FC = CH = 8. 5 cm. What is the length of GK?
8 cm
8. 5 cm
15. 5 cm
17 cm
4. In parallelogram EFGH, what is the relationship between angle e and angle g?
e° – g° = 180°
e° = -g°
e° = g°
e° + g° = 180°
Answers
1. In parallelogram ABCD, the sum of ∠a and ∠b is 180 degree. So the option d "a° + b° = 180°" is correct.
2. In rectangle FGHK, FC = CH = 8. 5 cm, then the area of rectangle FGHK is 120 square cm. So the option b is correct.
3. The length of GK is 17 cm because the length of all diagonal is same in rectangle. So the option d is correct.
4. In parallelogram EFGH, the sum of ∠e and ∠f is 180 degree. So the option d "a° + b° = 180°" is correct.
1. In parallelogram ABCD, ∠a and ∠b are adjacent to each other.
So, AB║DC.
Then we get ∠a and ∠b as subsequent interior angles, both of which need to be added.
So the sum of ∠a and ∠b is 180 degree.
a° + b° = 180°
2. In rectangle FGHK, FC = CH = 8. 5 cm.
From the diagram, FG = 8 cm
FH = FC + CH
FH = 8.5 + 8.5
FH = 17 cm
Using Pythagorean Theorem to find the value of GH.
FH^2 = FG^2 + GH^2
(17)^2 = (8)^2 + GH^2
289 = 64 + GH^2
Subtract 64 on both side, we get
GH^2 = 225
Taking square root on both side, we get
GH = 15 cm
The area of rectangle = FG × GH
The area of rectangle = 8 × 15
The area of rectangle = 120 square cm
3. In rectangle FGHK, FC = CH = 8. 5 cm.
So FH = FC + CH
FH = 8.5 + 8.5
FH = 17 cm
As, a rectangle is split into two congruent right triangles by a diagonal. The length of the rectangle's diagonals are all the same.
So GK = FH = 17 cm
4. In parallelogram EFGH, ∠e and ∠f are adjacent to each other.
So, EF║HG.
Then we get ∠e and ∠f as subsequent interior angles, both of which need to be added.
So the sum of ∠e and ∠f is 180 degree.
e° + f° = 180°
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What is the value of x? enter your answer in the box. x = cm
Answers
The value of x in the given equation will be 2/5
From the data,
We have to determine the value of x.
The given equation is: 18x-16=-12x-4
For determining the value of x, we will first shift the like terms on one side of the equation.
So, for solving the value of x we will shift the terms containing x and the constant on both sides of the equation.
So, shifting -12x from the right-hand side of the equation to the left-hand side of the equation,
We will get it as:
18x+12x = -4+16
30x=12
Now for solving the value of x we will shift x from the left side of the equation to the right side of the equation.
So, the value of x will be = 12/30 = 2/5
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The correct question may be:
What is the value of x
18x-16=-12x-4
Enter your answer in the box.
Name the true solution(s) to the equation. name the extraneous solution(s) to the equation.
Answers
The true solution to the equation [tex]\(x + 5 - \sqrt{x} = 3\)[/tex] is [tex]\(x = \frac{4}{9}\)[/tex], and there are no extraneous solutions.
To find the true solution(s) to the equation, we need to solve for x and check if the obtained solutions satisfy the original equation. The extraneous solution(s), if any, will be the solutions that do not satisfy the original equation.
To solve the equation, we can start by isolating one of the square root terms. Rearranging the equation, we have:
[tex]\sqrt{x + 5} = 3 + \sqrt{x}[/tex].
The equation can be evaluated as:
[tex]\sqrt{x + 5} - \sqrt{x} &= 3 \\(\sqrt{x + 5})^2 &= (3 + \sqrt{x})^2 \\x + 5 &= 9 + 6\sqrt{x} + x \\6\sqrt{x} &= -4 \\\sqrt{x} &= \frac{-2}{3} \\x &= \frac{4}{9}\end{align*}[/tex]
Therefore, the true solution to the equation [tex]\(x + 5 - \sqrt{x} = 3\)[/tex] is [tex]\(x = \frac{4}{9}\)[/tex], and there are no extraneous solutions.
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The complete question:
Solve the following equation and identify the true solution(s) as well as the extraneous solution(s):
[tex]\sqrt{x + 5} - \sqrt{x} = 3[/tex].
Simplify 2h+3h^2−4g^4+5f^2+11g^4−4h+f^2
Answers
Answer:3h^2 + 7g^4 + 5f^2 - 4h - 4g^4
Step-by-step explanation:To simplify the expression 2h+3h^2−4g^4+5f^2+11g^4−4h+f^2, we can follow these steps:
Group together like terms:
2h + (-4h) = -2h
3h^2 + f^2 = 3h^2 + f^2
-4g^4 + 11g^4 = 7g^4
This gives us the expression: -2h + 3h^2 + 5f^2 + 7g^4
Combine the constants:
3h^2 + 5f^2 + 7g^4 = 3h^2 + f^2 + 7g^4
Combine the like terms:
-2h + 3h^2 + f^2 + 7g^4 = 3h^2 + f^2 + 7g^4 - 2h
So, the simplified expression is: 3h^2 + 7g^4 + 5f^2 - 4h
After simplifying, the expression we'll get, 2h+3h^2+7g^4+6f^2-4h.
To simplify these algebraic expressions, we need to group the like terms. Like terms can be defined as terms that contain the same variables raised to the same power. Only the numerical coefficients are different.
After grouping like terms, perform the required operations. Here we have two operations i.e addition and subtraction. So group the like terms which need to add and those which need to subtract.
For example, Here -4g^4+11g^4 are like terms and 5f^2+f^2 are like terms. So we'll subtract 4 from 11, we'll get 7 and the variable will remain the same that is g^4. Similarly, we'll add 5 and 1, we'll get 6 and the variable will remain the same that is f^2.
Other terms will remain as it is.
2h+3h^2+(-4g^4+11g^4)+(5f^2+f^2)-4h
2h+3h^2+7g^4+6f^2-4h
Therefore the answer is, 2h+3h^2+7g^4+6f^2-4h
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