Ok, so
Here we have this linear transformation as follows:
[tex]T\colon(x,y)=(x+4,y+2)[/tex]And we're going to translate the point A:
[tex]A(-2,3)[/tex]This is: (We replace the values of x and y of the point A in the transformation):
[tex]\begin{gathered} T\colon(-2,3)=(-2+4,3+2) \\ T\colon(-2,3)=(2,5) \end{gathered}[/tex]The point A translated will give us a new point B, which is (2 , 5) (After applying the transformation).
Now, let's find the distance between A (-2,3) and B (2,5).
Remember that the distance between two points:
[tex]\begin{gathered} A(x_1,y_1) \\ B(x_{2,}y_2) \end{gathered}[/tex]Can be found applying the following formula:
[tex]D=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]Replacing our values:
[tex]\begin{gathered} D=\sqrt[]{(5-3)^2+(2-(-2))^2} \\ D=\sqrt[]{(2)^2+(2+2)^2} \\ D=\sqrt[]{4+16} \\ D=\sqrt[]{20} \end{gathered}[/tex]Therefore, the distance between the points A and B, is √(20) units. (This is, approximately, 4.47)
How many magnetic blocks does she need for all her students
A cube contains 216 magnetic blocks. The number of students in one class is 28. If each student in this class makes a cube, the number of magnetic blocks that they would need is 28 x 216 = 6048
The number of students in the other class is 25. If each student in this class makes a cube, the number of magnetic blocks that they would need is 25 x 216 = 5400
Thus, the number of magnetic blocks that she needs for all students is
6048 + 5400 = 11448
Option D is correct
What’s the answer!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Write [tex]2[/tex] wherever you see the letter [tex]x[/tex] and you will get the result.
[tex]f(x)=-3x+5+5x-1=2x+4[/tex][tex]f(2)=2(2)+4[/tex][tex]f(2)=8[/tex]I really need to take notes and to study so I really need to go o we this lessor and find my mistakes please help me
ANSWER:
[tex]y=\frac{4}{7}x+3[/tex]STEP-BY-STEP EXPLANATION:
We can calculate the equation of the line using the two blue dots.
The equation in its slope-intercept form is as follows:
[tex]\begin{gathered} y=mx+b \\ \text{ where m is the slope and b is y-intercept} \end{gathered}[/tex]To calculate the slope, we need to identify the blue points that would be: (0, 3) and (7, 7)
We calculate the slope as follows:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{7-3}{7-0}=\frac{4}{7}[/tex]We already know the y-intercept because it is explicit in the graph and it is (0,3), therefore b is 3, we substitute and the equation would be:
[tex]y=\frac{4}{7}x+3[/tex]The terminal side of O is in quadrant II and cos 0What is sin ?1313O A. - 12O B.O c. 5O D. 1 / 1
Solution
Using the trigonometric ratio, SOHCAHTOA
[tex]\begin{gathered} \text{SOH, CAH and TOA respectively represents} \\ \sin e\text{ }\theta=\frac{opposite}{\text{hypothenus}} \\ \cos \theta=\frac{adjacent}{\text{hypothenuse}} \\ \text{Tan}\theta\text{ = }\frac{opposite}{\text{adjacent}} \end{gathered}[/tex]
From the question
[tex]\begin{gathered} \cos \theta=-\frac{5}{13} \\ \text{Therefore } \\ \text{adjacent = 5} \\ hypothenuse\text{ = 13} \end{gathered}[/tex]Using pythagoras theorem, we can find the opposite
so that
[tex]\begin{gathered} \text{Hypothenuse}^2=opposite^2+adjacent^2 \\ 13^2=opposite^2+5^2 \\ opposite\text{ }^2=169-25 \\ \text{opposite =}\sqrt[]{144} \\ \text{opposite = 12} \end{gathered}[/tex]Hence,
[tex]\begin{gathered} \sin e\theta=\frac{opposite}{\text{hypothenuse}} \\ \sin e\theta=\frac{12}{13} \\ \sin ce\text{ the terminal side is in the quadrant II and sine positive in the quadrant II, } \\ Sine\text{ }\theta=\frac{12}{13} \end{gathered}[/tex]Therefore the right answer is option B
A skier travels downhill along two slopes: One with gradient -5 and theother with gradient -1/5. State which slope is steeper?
Answer:
Explanation:
In the question, we're given two slopes, -5 and -1/5, and then asked to determine which of the slo
the perimeter of a rectangle can be found by using the formula P=21+2w. What is the width of the rectangle if the perimeter is 100 ft and the length is 50 ft?
Since this can't happen, let's suppose that P=150, then:
[tex]\begin{gathered} P=2l+2w \\ \Rightarrow150=2(50)+2w \\ \Rightarrow150=100+2w \end{gathered}[/tex]Now we have to move the 100 to the other side of the equation with a negative sign to get this:
[tex]\begin{gathered} 150=100+2w \\ \Rightarrow150-100=2w \\ \Rightarrow50=2w \end{gathered}[/tex]Finally, to get w, we move the 2 that's multiplying to the other side dividing the 50:
[tex]\begin{gathered} 50=2w \\ \Rightarrow\frac{50}{2}=w \\ \Rightarrow w=25 \end{gathered}[/tex]Therefore, the width of the rectangle would be 25 ft if the perimeter is 150ft, and we can see how the rectangle would look:
what is 2+2?????????
The given question is 284.7 divided by 68.3.
We can write it as:
[tex]\frac{284.7}{68.3}[/tex]Just divide it to get your answer. That is 4.1683
Answer:4
Step-by-step explanation:
A six foot tall person casts a 9 foot shadow. At what angle do the sun's rays hit the ground? Determine which trig function you would use, and solve the equation Round to the nearest tenth. (hint draw a picture) (G.8c)(1 point)
Tan a = 6/9 = 2/3
Tan a = 2/3
a = arctan(2/3) = 33.69 degrees
Answer
33.69 degrees
Refer to the figure at the right.5. Name the intersection of DC and CB.(Example 2)6. Name all of the planes that arerepresented. (Example 3)7. Name the intersection of plane ABCand plane ACD. (Example 4)
EXPLANATION :
Note that the intersection of two lines or two segments is a point
The intersection of two planes is a line or a segment
5. Intersection of DC and CB
The intersection as shown in the figure is Point C.
So the answer is point C
6. Name all the planes that are represented.
A plane is a 2-dimensional shape. From the word itself, it can represent as a plane or a sheet.
The planes in the given figure are :
ABC, ACD, ADE, ABE, and BCDE
7. Intersection of plane ABC and plane ACD
The intersection is the common segment between the two planes.
That will be segment AC
18. x =
4t
2(x+15)°
pod
(3x + 20)°
Lines_and_
when x =
are parallel when x=___.
Answer: mom hut
Step-by-step explanation: Its mom hut becuase ur question doesnt make any sense
Make a the subject of the formula:
P = square root n² + a
____
n+a
Answer:
[tex]a=\dfrac{n^2-P^2n}{P^2-1}[/tex]
Step-by-step explanation:
Given equation:
[tex]P=\sqrt{\dfrac{n^2+a}{n+a}}[/tex]
Square both sides of the equation:
[tex]\implies P^2=\dfrac{n^2+a}{n+a}[/tex]
Multiply both sides by (n + a):
[tex]\implies P^2(n+a)=n^2+a[/tex]
Expand the parentheses:
[tex]\implies P^2n+P^2a=n^2+a[/tex]
Subtract a from both sides:
[tex]\implies P^2n+P^2a-a=n^2[/tex]
Subtract P²n from both sides:
[tex]\implies P^2a-a=n^2-P^2n[/tex]
Factor out a on the left side of the equation:
[tex]\implies a(P^2-1)=n^2-P^2n[/tex]
Divide both sides by (P² - 1):
[tex]\implies a=\dfrac{n^2-P^2n}{P^2-1}[/tex]
The right triangle shown has two sides that are each 2x - 4 inches long.2x - 42x - 4The area of a triangle is A - bh, where b is the base and h is the height of the triangle. What is the area of the triangle shown?
Note that the fomula for the area of a triangle is base x height divided by 2 :
[tex]A=\frac{bh}{2}[/tex]The base is equal to 2x - 4
and
the height is equal to 2x - 4 also
So the area of the triangle will be :
[tex]A=\frac{(2x-4)(2x-4)}{2}[/tex]Multiplying the numerator using multiplication of two binomial terms :
1st step : Multiply the first
a car lose half of its value during it's first year of usage and there after loses 8% of its value in each year.calculate its value at the end of three years ( give it's value as the percentage of original value)
Let the original value be x.
After the first year, the value will decrease 50%, so, it will be 0.5x.
By the end of the second year, it will decrease other 8%, 0.08.
so:
0.5x*(1-0.08) = 0.46x
And by the end of the third year, will decrease 8% again, so:
0.46*(1-0.08) = 0.4232x
The price will be 42.32% of the original value.
Does each point lie on the circle, yes or no?
To answer this question we have to evaluate the given equation using each ordered pair and see if it's true:
(0, sqrt(13))
[tex]\begin{gathered} (0-2)^2+(\sqrt[]{13})^2=13 \\ 4+13=13 \\ 17\ne13 \end{gathered}[/tex]This point does not lie on the circle.
(0, -sqrt(13))
[tex]\begin{gathered} (0-2)^2+(-\sqrt[]{13})^2=13 \\ 4+13=13 \\ 17\ne13 \end{gathered}[/tex]This point does not lie on the circle.
(4, 3)
[tex]\begin{gathered} (4-2)^2+(3)^2=13 \\ 4+9=13 \\ 13=13 \end{gathered}[/tex]This point does lie on the circle.
(-2, 1)
[tex]undefined[/tex]Which type of parent function does the equation f(x) = |2| represent?A. Square rootB. ReciprocalC. Cube rootD. Absolute value
Answer:
The given function is an Absolute value function because its expression is contained within the absolute value symbol.
Explanation:
Given the function;
[tex]f(x)=|2|[/tex]Recall that Absolute value functions are functions that contains it algebraic expression within the absolute value symbol.
Such as;
[tex]f(x)=|x|[/tex]Therefore, the given function is an Absolute value function because its expression is contained within the absolute value symbol.
22/-2 how i do this am dum
Answer: -11
Step-by-step explanation: 22/2 is 11 because 11+11 is 22 and then because one of the numbers is negative it makes the final answer negative so that's -11
Describe the translation of f(x) = |x|.
3 units right, 5 units up
5 units right, 3 units down
3 units right, 5 units down
5 units right, 3 units up
Answer:
(6,4), (8,4),(6,4),(8,2)
Step-by-step explanation:
I think this may be right
can you help me with my work
A is False
B is true
C is False
D is False because the table is in meters no in feet
E is True
F is False
Leo buys a new car for $17,600. The simple interest rate is 8.4% and the amount of loan (plus simple interest) is repayable in 5 years. What is the total amount that must be repaid?
Solution:
Given;
[tex]P=17,600,r=8.4\text{ \%,}=0.084,t=5[/tex]The simple interest, I, is;
[tex]\begin{gathered} I=17600\times0.084\times5 \\ \\ I=7392 \end{gathered}[/tex]Thus, the amount to be repaid is;
[tex]\begin{gathered} A=P+I \\ \\ A=17600+7392 \\ \\ A=24992 \end{gathered}[/tex]The amount that must be repaid is $24,992
Find the equations of the lines:with x-intercept of -2 and a slope 3.
The equation of a line with x-intercept b and slope m is given by:
[tex]y=m(x-b)[/tex]Substitute m=3 and b=-2:
[tex]\begin{gathered} y=3(x-(-2)) \\ =3(x+2) \\ =3x+6 \end{gathered}[/tex]Therefore, the equation of a line with slope 3 and x-intercept -2 is:
[tex]y=3x+6[/tex]At 1:00 PM the water level in a pool's is 13 inches. At 2:30 pm the water level is 28 inches what is the constant rate of change
ANSWER
1/6 or 0.167 inches per minute
EXPLANATION
We want to find the constant rate of change of the water level.
To do this, we have to find the difference in water level, find the time taken, then divide the former by the latter.
Difference in water level is:
D = 28 - 13 = 15 inches
The time difference is:
H M
2 : 30
- 1 : 00
1 : 30
That is 1 hour 30 minutes.
In minutes, that is:
(60 * 1) + 30 = 60 + 30 = 90 mins
So, the constant rate of change of water level is:
[tex]\begin{gathered} \text{Rate = }\frac{15}{90} \\ \text{Rate = 1/6 or 0.167 inches per minute} \end{gathered}[/tex]That is the constant rate of change of water level.
Farmer Ed has 9,500 meters of fencing, and wants to enclose a rectangular plot that boarders on a river. If Farmer Ed does not fence the side along the river, what is the largest area that can be enclosed?The largest area that can be enclosed is____square meters
Answer:
[tex]Area_{max}=11,281,250m^{2}[/tex]Explanation:
We were given the following information:
Ed has 9,500 meters of fencing
Ed does not fence the side along the river
[tex]\begin{gathered} Perimeter=9,500m \\ Perimeter=length+2*width \\ length=9,500-2x \\ width=x \\ The\text{ area of a rectangle is given by:} \\ Area=length*width \\ Area=\lparen9,500-2x)*x \\ Area=9,500x-2x^2 \\ Area=-2x^2+9,500x \\ The\text{ maximum point occurs at the vertex \lparen to obtain the largest area that can be enclosed\rparen:} \\ x=-\frac{b}{2a}=-\frac{9,500}{2\left(-2\right)} \\ x=\frac{9,500}{4}=2,375 \\ x=2,375 \\ Substitute\text{ this into the formula for ''length'', we have:} \\ length=9,500-2\left(2,375\right) \\ length=9,500-4,750=4,750 \\ length=4,750m \\ w\imaginaryI dth=x=2,375m \\ Area_{max}=length*width \\ Area_{max}=4,750*2,375 \\ Area_{max}=11,281,250m^2 \\ \\ \therefore Area_{max}=11,281,250m^2 \end{gathered}[/tex]Therefore, the largest area that can be enclosed is 11,281,250 sq. meters
In Ms. Briscoe's class, 60% of the students have a little brother. There are 24 students in the class with little brothers. How many total students are in the class?
60% have a litle brother... it they are 24 then:
60% is to 24 as 100% is to x
so x = 24/(60%) = 24/0.6 = 40
the answer is 40
what is 1 × 64 I need help in in 1st grafe
Always that you multiply a number by 1 you will obtain the same number
1 × 64=64
for example
1 × 5= 5
1 × 10=10
1 × 7=7
Answer:
1 x 64 = 64
Step-by-step explanation:
Anything multiplied by 1 is itself
Examples:
1 x 3 = 3
1 x 143 = 143
1 x 9849357369 = 9849357369
1 x 0 = 0
describe the graph , and compare it to a cubic function with the same leading coefficient.
Comparing with a cubic function with the same leading coefficient, we have it that the graphs of both functions are similar as they have excatly the same end behavior summarised below;
[tex]\begin{gathered} As\text{ x}\Rightarrow+\infty\text{ , f(x)}\Rightarrow\text{ +}\infty\text{ and also;} \\ x\Rightarrow-\infty,\text{ f(x)}\Rightarrow-\infty \end{gathered}[/tex]Here, we want to make a comparism
Before we go on to make the comparism, we want to describe the graph
As can be seen from the given equation of the graph, we have a positive leading coefficenit (the coefficeint of the highest power; x^5 in this case) and an odd degree (degree refers to the highest power of the polynomial)
Using this, we can get the property of the the graph
The property is simply that;
[tex]\begin{gathered} As\text{ x}\Rightarrow+\infty\text{ , f(x)}\Rightarrow\text{ +}\infty\text{ and also;} \\ as\text{ x}\Rightarrow-\infty,\text{ f(x)}\Rightarrow-\infty \end{gathered}[/tex]Now, for a cubic function with the same leading coefficient (+1 which is positive) and the degree which is 3; both functions have the same end properties
From my act prep guide I need this practice problem answeredcalc subject
The standard form of the equation of a circle with centre (a,b) and radius r, is:
[tex](x-a)^2+(y-b)^2=r^2[/tex]From the question, we provided with the following;
[tex]\begin{gathered} \text{diameter}=8\text{units} \\ \text{ Recall that:} \\ \text{Radius}=\frac{diameter}{2} \\ R=\frac{8}{2}=4\text{units} \\ \\ \text{Centre (a,b)=(2,-4)} \end{gathered}[/tex]Thus, we have:
[tex]\begin{gathered} (x-2)^2+(y-(-4))^2=4^2 \\ (x-2)^2+(y+4)^2=16 \end{gathered}[/tex]Hence, the equation of the circle is:
[tex](x-2)^2+(y+4)^2=16[/tex]19.79 and 9.08 minutes Estimate the difference in their time?
The difference between 19.79 and 9.08 is found by subtracting the two numbers.
Hence,
[tex]19.79-9.08=10.71.[/tex]The estimate of the difference is done in the following manner.
19.79 is close to 20 and 9.08 is close to 9; therefore, the easier subtraction we have to do is 20 - 9 = 11.
I need help answering this r + 7 = -3 ?
The value of r is -10
Here, given the equation, we want to find the value of r
Mathematically, this can be obtained by moving the 7 to the right-hand side of the equation
This helps to isolate the r. When this kind of movement is done, the sign of the number being moved changes to the opposite. We can now proceed to add up the numbers on the right hand side
we have;
[tex]\begin{gathered} r\text{ + 7 = -3} \\ r\text{ = -3-7} \\ r\text{ = -10} \end{gathered}[/tex]Thea, Maria, and Pam are a teacher, a mechanic, and a pilot. None has a job that starts with the same letter as her name. Thea recently had her car repaired by the mechanic. Who has which job?
The answer is Thea - pilot, maria - teacher and pam - mechanic.
Given:
Thea, Maria, and Pam are a teacher, a mechanic, and a pilot. None has a job that starts with the same letter as her name. Thea recently had her car repaired by the mechanic.
From given statements:
Thea is not a teacher because thea name starts with t.
Maria is not a mechanic because maria name starts with m.
Pam is not a pilot because pam name starts with p.
Thea recently repaired her car by the mechanic so she is not a mechanic because if she is mechanic she can repair the car, so thea has only one possibility that she is a pilot.
Maria is not a mechanic and pilot and she has only one possibility that is she is a teacher.
Pam has only one left that is she is a mechanic.
Therefore the answer is Thea - pilot, maria - teacher and pam - mechanic.
Learn more about the teacher mechanic and pilot here:
https://brainly.com/question/1581473
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4+2/3x=2/5 how do I solve this equation
Given:
The given equation is 4+2/3x=2/5.
The objective is to solve for x.
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