Answer:
(x+6) / 6
Step-by-step explanation:
(3x+18) /18
Factor out 3 from the numerator
3(x+6) /18
Cancel a 3 from the numerator and denominator
(x+6) / 6
I need help please answer ASAP Have a good explination.
Will give brainliest
Answer and Step-by-step explanation:
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
Now let's solve by using this statement..
1. Yes they are, cause they have excatly the same three sides and excatly the same three angles.
2. no they are not, cause they do not have excatly the same three sides and excatly the same three angles.
3. Yes they are, cause they have excatly the same three sides and excatly the same three angles.
4. Yes they are, cause they have excatly the same three sides and excatly the same three angles.
5. Yes they are, cause they have excatly the same three sides and excatly the same three angles.
6. Yes they are, cause they have excatly the same three sides and excatly the same three angles.
Hope this helped... If yes plz mark as BRAINLIEST and follow me.
Tysmm!!!
II NEED HELP!!!!!!!! Are the graphs of the lines in the pair parallel? Explain. y = 2/3x– 17 4x – 6y = –6 4x-6y=-6 Yes, since the slopes are the same and the y-intercepts are the same. A )No, since the y-intercepts are different. B)No, since the slopes are different. C)Yes, since the slopes are the same and the y-intercepts are different.
Answer:
A
Step-by-step explanation:
Mr. Berger assigned the following system of equations to be solved for homework. 2 x minus 3 y = negative 12. 4 x + y = negative 10. Which is the x-coordinate of the correct solution? x = negative 3 x = negative one-fifth x = StartFraction 9 Over 7 EndFraction x = 2
Answer:
x=-3
Step-by-step explanation:
2 x - 3 y = -12.
4 x + y = -10.
The Answer is:
X= -3
Given the infirmation in the diagram, which theorem best justifies why lines j and k must be parallel
Answer:
Alternate Exterior Angles theorem
Answer:
alternate exterior angles
Step-by-step explanation:
alternate exterior angles are when two angles are on the far side of two lines and are not on the same side of the line cutting through the two parallel lines
Hope this is not redundunt or anything because I thought maybe I should just explain it so you would understand it next time :)
Peter walked 10m from X to Y on bearing 020° and then he turned and walked 20m to Z with bearing 140° of Z from Y. Find the distance between X and Z. Find the bearing of Z from X.
Answer:
17.32m ; 110°
Step-by-step explanation:
Distance between X and Z
To calculate the distance between X and Z
y^2 = x^2 + z^2 - (2xz)*cosY
x = 20, Z = 10
y^2 = 20^2 + 10^2 - (2*20*10)* cos60°
y^2 = 400 + 100 - (400)* 0.5
y^2 = 500 - 200
y^2 = 300
y = sqrt(300)
y = 17.32m
Bearing of Z from X:
Using cosine rule :
Cos X = (y^2 + z^2 - x^2) / 2yz
Cos X = (300 + 100 - 400) / (2 * 20 '*10)
Cos X = 0 / 400
Cos X = 0
X = cos^-1 (0)
X = 90°
Bearing of Z from X
= 20° + X
= 20° + 90°
= 110°
P(x) has factors (x-2), (x+1), and (x-3). Decide if there is only one polynomial that has these factors. Justify your answer.
Answer:
See explanation
Step-by-step explanation:
if multiply the 3 factors together you get
(x² - x - 2)(x - 3) - trinomial x binomial
x³ - 3x²- x² + 3x - 2x + 6 - polynomial
x³ - 4x² + x + 6, this is the polynomial with those factors.
Poly means many so it could be a bigger polynomial with more factors but if it is limited to only these factors than there is just the one polynomial.
The polynomial is x³ - 4x² + x + 6 with factors (x-2), (x+1), and (x-3)
What is polynomial?A polynomial is the defined as mathematical expression that have a minimum of two terms containing variables or numbers. A polynomial can have more than one term.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 12 + 2 = 14
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 12 -2 = 10
* Multiplication operation: Multiplies values on either side of the operator
For example 12*2 = 24
Given that ,
P(x) has three factors (x-2), (x+1), and (x-3).
Multiplying the 3 factors together, we get
⇒ (x-2)(x+1)(x-3)
⇒ [x(x-3) - 2(x+1)](x-3)
⇒ (x² - x - 2)(x - 3)
⇒ x³ - 3x²- x² + 3x - 2x + 6
Rearrange the terms likewise and apply arithmetic operations
⇒ x³ - 4x² + x + 6
Hence, the polynomial is x³ - 4x² + x + 6 with factors (x-2), (x+1), and (x-3).
Learn more about polynomial here:
https://brainly.com/question/11536910
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Plz help me the question is in the picture below
Answer:
function 2
Step-by-step explanation:
To do this you would already know that the first function's slope is 1 since r represents the x in slope intercept form. 2 will just be 1/1.1 since if you do y2-y1/x2-x2 you get 1/1.1 as the slope so function 2 will have a greater slope
solve the equation 2/3x-2=7
Answer: x = 27/2
Step-by-step explanation:
2/3x-2=7
2/3x=9
2/3x=27/3
2/3x(3/2)=27/3(3/2)
x=81/6
x=27/2
Answer: x = 27/2
Step-by-step explanation: In this equation, our first step is to isolate the x term by adding 2 to both sides.
On the left, -2 and +2 cancel out and were left
with 2/3x and on the right, 7 + 2 simplifies 9.
So we have 2/3x = 9.
In order to get x by itself, since it's being multiplied by a fraction,
we multiply both sides of the equation by the reciprocal of that fraction.
The reciprocal of a fraction is just that fraction
flipped so the reciprocal of 2/3 is 3/2.
So we have (3/2)(2/3x) = 9(3/2).
On the left, the 2's cancel and the 3's cancel.
On the right, 9(3/2) is 27/2.
So x = 27/2
How do i simplify Sin(312)?
Answer:
-0.743
Step-by-step explanation:
just plug it into a calculator
Answer:
it is also -sin(48)
Step-by-step explanation:
what is 9393 divided by 81x1 ?
Answer:
115.96
Step-by-step explanation:
=> [tex]9393 / 81 * 1[/tex]
By BODMAS, Dividing first
=> 115.96 * 1
Now, Multiplying
=> 115.96
Answer:
115.962963
Step-by-step explanation:
81 x 1 = 81
9393 ÷ 81 = 115.96
Can somebody please help me with this & show work ?? :)
Answer:
s = 116°, q and t are 64°
Step-by-step explanation:
isoceles so r and s are the same and q and t are the same. therefore q and t are 180-116 = 64
Find the Equation of the Parallel Line
2
of
Instructions: Find the equation of the line through point (-7,2) and parallel to
= x - 1. Use a forward slash (i.e. "/") for fractions (e.g. 1/2 for 1).
Y=
y =
Answer:
y = 2/5x + 4/5
Step-by-step explanation:
We'll begin by calculating the slope of the equation: y = 2/5x – 1/2
The slope of the above equation can be obtained as follow:
y = mx + c
Where m is the slope.
c is the y-intercept.
y and x are the coordinate.
Comparing:
y = 2/5x – 1/2 with y = mx + c
The slope of y = 2/5x – 1/2 is 2/5.
Now, let us determine the equation parallel to y = 2/5x – 1/2.
This is illustrated below:
The coordinate of the line => (–7, 2)
x1 = –7
y1 = 2
Slope (m) = 2/5 => Since the lines are parallel, their slope are equal.
y – y1 = m (x – x1)
y – 2 = 2/5(x – –7)
y – 2 = 2/5(x + 7)
Clear bracket
y – 2 = 2/5x + 14/5
Rearrange
y = 2/5x + 14/5 + 2
y = 2/5x + 4/5
Therefore, the equation is:
y = 2/5x + 4/5
What is the equation of a line that is parallel to y=2/3x+4 and passes through the point (3,7)
Answer:
y=2/3x+5
Step-by-step explanation:
Parallel lines share the same slope so we already know the slope: 2/3.
Now we need to find the y-intercept for the equation. To do that, replace 4 with b. We have y=2/3x+b.
To find out what b is, we need to plug in the x and y values we are given into the current equation. We get 7=2/3(3)+b.
7=2+b
5=b
Now we can put all the information we have together.
y=2/3x+5
A large explosion causes wood and metal debris to rise vertically into the air with an initial velocity of 96 feet per second. The quadratic function h(t)=96t−16t2 gives the height h (in feet) of the debris at time t (in seconds) after the explosion. How many seconds will it take before the debris falls back to the ground?
Answer:
6 seconds
Step-by-step explanation:
We have to find the t-intercepts of the function. To do so, let's set h(t) = 0.
0 = 96t - 16t²
0 = 16t(6 - t) -- Factor 96t - 16t²
16t = 0 or 6 - t = 0 -- Use Zero Product Property
t = 0 or t = 6 -- Solve for t
We're not looking for the solution t = 0 because that represents when the debris was launched. Therefore, the answer is 6 seconds.
Answer: 6 seconds
Step-by-step explanation: factor
Is 5.7c-1.5+3.2c=7.8c-1.5+1.1c a one solution problem?
Answer:
This is NOT a one solution problem.
Step-by-step explanation:
Group all terms with a c in it to the left of the equal sign, and group all numbers to the right of the equal sign.
5.7c-1.5+3.2c=7.8c-1.5+1.1c
5.7c + 3.2c - 7.8c - 1.1c = - 1.5 + 1.5
8.9c - 8.9c = 0
0 = 0
No matter which number you substitute for c, it will always be true. Since you can find infinity of solutions, this is NOT a one solution problem.
Divide both sides of the equation by the coefficient of t to get t by itself how tall is Theresa in inches
p=paul's height
s=steve's height
t=theresa's height
p=s
1 and 1/2=3/2
1 and 1/3=4/3
p=-16+(3/2)t
s=-6+(4/3)t
p=s so
-16+(3/2)t=-6+(4/3)t
add 6 to both sides
-10+(3/2)t=(4/3)t
times both sides by 6 to clear fractions
-60+9t=8t
minus 9t both sides
-60=-t
times -1
60=t
t=60
theresa is 60 inches or 5ft
steve and paul are 84 inches or 7ft (wow!)
Help me please!!!!!!!!!!
Answer:
Option (4)
Step-by-step explanation:
In the picture attached,
m∠NLM = m∠LKN = 90°
In two similar triangles ΔLKN and ΔMKL,
By the property of similar triangles,
"Ratio of the corresponding sides of the similar triangles are proportional".
[tex]\frac{\text{LK}}{\text{KN}}=\frac{\text{KM}}{\text{LK}}[/tex]
By substituting the values given,
[tex]\frac{h}{3}=\frac{2}{h}[/tex]
[tex]\frac{2}{h}=\frac{h}{3}[/tex]
Therefore, Option (4) will be the answer.
A science fair poster is a rectangle 48 inches long and 36 inches wide. What is the area of the poster in square feet?
Be sure to include the correct unit in your answer.
Answer:
Whats the formula for the area of a rectangle?
L x W. 48 x 36 = 1728 sq inches.
Then divide by (12 x12 ) = 144 to find square feet
Step-by-step explanation:
NEEEED HELPPPPP PLEASEEEEEE Use long division to find the quotient below.
(8x^2 + 4x^2 + 100) - (2x + 5)
Answer:
[tex]4x^2 - 8x + 20[/tex]
Step-by-step explanation:
The correct equation is:
[tex]8x^3 + 4x^2 + 100[/tex]
We want to divide that by (2x + 5)
To do the long division, divide each term by 2x and then subtract the product of the result and (2x + 5) from the remaining part of the equation.
When you get to 0, you have reached the end of the division.
Whatever term you get from each step of division is part of the quotient.
Go over the steps above carefully while following them below:
Step 1:
Divide [tex]8x^3[/tex] by 2x. You get [tex]4x^2[/tex].
Step 2
Multiply [tex]4x^2[/tex] by (2x + 5) and subtract from [tex]8x^3 + 4x^2 + 100[/tex]:
[tex]8x^3 + 4x^2 + 100[/tex] - ([tex]8x^3 + 20x^2[/tex]) = [tex]-16x^2 + 100[/tex]
Step 3
Divide [tex]-16x^2[/tex] by 2x. You get [tex]-8x[/tex].
Step 4
Multiply -8x by (2x + 5) and subtract from [tex]-16x^2 + 100[/tex]:
[tex]-16x^2 + 100[/tex] - ([tex]-16x^2 - 40x[/tex]) = 40x + 100
Step 5
Divide 40x by 2x. You get 20.
Step 6
Multiply 20 by (2x + 5) and subtract from 40x + 100:
40x + 100 - (40x + 100) = 0
From the three steps of the division, we got [tex]4x^2[/tex], -8x and 20.
Therefore, the quotient is [tex]4x^2 - 8x + 20[/tex]
when 5 more than 2 lots of a number is tripled the result is 10
Answer:
-5/6
Step-by-step explanation:
a number is x
then two lots will be 2 x
five more will be 2x+5
then tripled so 3(2x+5)
will equal 10
Answer: [tex]-\frac{5}{6}[/tex]
Step-by-step explanation:
3(2x+5)=10
Distribute
6x+15=10
Subtract 15
6x=-5
x = -5/6
Hope it helps <3
the nth term of a sequence is n^2 -n-2 .find the sum of the first and third terms
Answer:
2
Step-by-step explanation:
substitute n=1 and n=3 in the given equation
1 st term is (1)^2-1-2 = 1 -1 -2 = -2
3rd term is (3)^2-3-2 = 9-3-2=4
sum of 1st and 3rd term is -2 + 4 = 2
What is the equation of the line that passes through the point (-6, 6) and has a
slope of
1/3?
Answer:
Using point-slope form we get:
y - 6 = 1/3(x + 6)
y - 6 = 1/3x + 2
y = 1/3x + 8
Omar has a gift card for $40.00 at a gift shop. Omar wants to buy a hat for himself for $13.50. For his friends, he would like to buy souvenir
bracelets, which are $3.25 each. All prices include taxes.
Which inequality can be used to solve for how many bracelets Omar can buy?
OA.
3.25x + 13.50 < 40
O B.
3.25x + 13.50 > 40
OC.
13.50X+3.25 < 40
OD
13.50x + 3.25 2 40
Answer:
The answer is A- 3.25x + 13.50 < 40
Answer:
13.50X+3.25 < 40
sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the 0.025 significance level. H0: μ ≥ 220 H1: μ < 220 Is this a one- or two-tailed test? One-tailed test Two-tailed test
Answer: (upside down fancy u) q5
Step-by-step explanation:
Simply apply the law of conservative (upside down fancy u)
How many solutions are there to the equation below?
7(x + 2) = 7x-10
O A. Infinitely many
O B. o
O c. 1
Hi there! :)
Answer:
B. 0 solutions.
Step-by-step explanation:
Given the equation 7(x + 2) = 7x - 10
Simplify:
7(x + 2) = 7x - 10
Distribute the 7 with the terms inside of the parenthesis:
7x + 14 = 7x - 10
Subtract "7x" and 14 from both sides:
7x - 7x = -10 - 14
0 ≠ - 24. The equation has no solutions.
Answer:
[tex]\boxed{\sf B. \ 0}[/tex]
Step-by-step explanation:
[tex]\sf 7(x + 2) = 7x-10[/tex]
Expand brackets.
[tex]\sf 7x+14 = 7x-10[/tex]
Subtract 7x and 14 from both sides.
[tex]\sf 7x+14 -7x-14= 7x-10-7x-14[/tex]
[tex]\sf 0=-24[/tex]
There are 0 solutions.
WHAT IS THE ANSWER PLS HELPPPPP!!!!!
Answer:
5^x - 5^-x
Step-by-step explanation:
g(x) = 5^-x
h(x) = 5^x
We want h(x) - g(x)
h(x) - g(x) = 5^x - 5^-x
This cannot be simplified
3x + 45 = 4x + 21
Solve for 'x'.
Answer:
Step-by-step explanation:
3x + 45 = 4x + 21
45 - 21 = 4x - 3x
24 = x
Answer:
x=24Step-by-step explanation:
[tex]3x + 45 = 4x + 21 \\ collect \: like \: terms \\ 3x - 4x = 21 - 45 \\ - x = - 24[/tex]
[tex]x = 24[/tex]
how to do this question plz answer me step by step plzz plz
Answer: 4cm
Step-by-step explanation:
Ok so no matter the orientation of the carton, it will contain the same volume of milk. We can use the fact it's volume of milk will stay constant to find out it's new depth.
Before being turned over the milk volume is:
5 * 8 * 12 = 480. This is because the volume of a cuboid is length * width * height (depth).
Therefore the volume of the milk once turned over is 480
When on it's side, the volume of the milk equals
8 * 15 (the base) * depth
120 * depth
120 * depth = 480
so the depth = 4cm
If f(x) = -8x - 6 and g(x) = x+8 , what is (f • g) (- 7)
Answer:
hello:
Step-by-step explanation:
If f(x) = -8x - 6 and g(x) = x+8 , (f • g) (- 7)= f(g(-7))
but g(-7)=-7+8=1
(f • g) (- 7)= f(1) =-8(1)-6 =-14
Need help!! Please if you know this go ahead and answer but if you don’t don’t bother!! Thanks
Work Shown:
area of base = 18*17 = 306 square yards
V = volume of pyramid
V = (1/3)*(area of base)*(height)
V = (1/3)*(306)*(15)
V = 1530 cubic yards
Answer:1530
Step-by-step explanation: length*width*height* divided by 3