Which side lengths form a right triangle?
Choose all answers that apply:

Step-by-step explanation:

y = 30

120y = 120×30 = 3600

√3600 = 60

The value of y is 60 which makes 120y a perfect square.

A perfect square is a number that represents the square of a natural number.

For example 9,16,36,64,121 etc

Here given that we have to calculate the value of y for which 120y will be a perfect square.

so 120y = n² where n is the natural number

For calculating the value of y first factorize 120

120= 2*2*2*3*5

= 2² * 2*3*5

=4 *30

from the above, it is clear that 120 can be written as 4*30 where 4 is a perfect square but 30 is not a perfect square.

So if we multiply 30 by 120 then the product has 2²*30² which will be a perfect square.

Therefore the value of y is 30 for which 120*30=n² where n=60.

Learn more about perfect square

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Answer:

x = 7

y = 0

Step-by-step explanation:

Equation:  2x - 9y = 14

We are given that x = -6y + 7

So we substitute (-6y + 7) for "x" in the equation  2x - 9y = 14

* substitute *

2 ( -6y + 7 ) - 9y = 14

now we solve for y using basic algebra

step 1 distribute the 2

2 * -6y = -12y

2 * 7 = 14

now we have -12y + 14 - 9y = 14

step 2 combine like terms

-12y - 9y = -21y

now we have -21y + 14 = 14  

step 3 subtract 14 from each side

14 - 14 cancels out

14 -14 = 0

now we have -21y = 0

step 4 divide each side by -21

-21y / -21 = y

0 / -21 = 0

we're left with y = 0

now to find x

To find x we substitute 0 for "y" in x = -6y + 7

* substitute *

x = -6 ( 0 ) + 7

-6 * 0 = 0

we're left with x = 7

Answer:

[tex] 10 \: {units}^{2} [/tex]

Step-by-step explanation:

Area of triangle

[tex] = \frac{1}{2} \times base \times height \\ \\ = \frac{1}{2} \times 4 \times 5 \\ \\ = 2 \times 5 \\ \\ = 10 \: {units}^{2} [/tex]

Answer:

Original slope = 4

Parallel Slope = 4

Equation = y = 4x - 16

Step-by-step explanation:

y = 4x +8

* the slope is the same since it is parallel

2=4(4) + b

2=16 + b

-14=b

y = 4x - 16

Answer:

your answer will be 3.4

Step-by-step explanation:

n=number of terms

{6,5,10,11,13}=5

also ∑(x-x)^2=46

[tex]S=\sqrt{\frac{1}{5-1} *46} =[/tex]

[tex]\sqrt{\frac{46}{4} }=\sqrt{11.5} \\\\S=3.4[/tex]

hope it helps

have a great day!!

That sounds horrible

Answer:

please where is the above square pyramid

Step-by-step explanation:

please I wish I could help you but your question is in complete

Answer:

me no englis

Step-by-step explanation:sorry

-4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20

Answer:

[tex]3 < x \leqslant 4[/tex]

Answer:

D)

Step-by-step explanation:

Answer:

sorry bro im d.u.m.b

Step-by-step explanation:

:_ )

Answer:

(-1 , 7)

Step-by-step explanation:

To find the midpoint, the equation used is:-

[tex]\frac{x1 + x2}{2} , \frac{y1 + y2}{2}[/tex]

Here, the values are:-

x1 = 1

x2 = -3

y1 = 9

y2 = 5

Substituting these in the equation, we get:-

[tex]\frac{-3 + 1}{2} ,\frac{9+5}{2}[/tex]

[tex]\frac{-2}{2} ,\frac{14}{2}[/tex]

(-1, 7)

Answer:

34.75 i think

Step-by-step explanation:

Answer:

[tex]\boxed {\boxed {\sf 2 \ hours}}[/tex]

Step-by-step explanation:

Let's set up a proportion to solve. Use the following setup:

[tex]\frac {hours}{miles}=\frac{hours}{miles}[/tex]

We know that it takes Oliver 4 hours to drive 278 miles.

[tex]\frac {4 \ hours}{278 \ miles}=\frac{hours}{miles}[/tex]

We don't know how long it takes him to drive 139 miles. Therefore, we use the variable x for hours, because it is unknown.

[tex]\frac {4 \ hours}{278 \ miles}=\frac{x \ hours}{139 \ miles}[/tex]

[tex]\frac {4 }{278 }=\frac{x \ hours}{139 }[/tex]

We are solving for x, the hours it takes him to drive 139 miles. The variable must be isolated. It is being divided by 139 and the inverse of division is multiplication. Multiply both sides of the equation by 139.

[tex]139*\frac {4 }{278 }=\frac{x \ hours}{139 }*139[/tex]

[tex]139*\frac {4 }{278 }={x }[/tex]

[tex]2=x[/tex]

It takes Oliver 2 hours to drive 139 miles.

Answer:

8:00 in the morning .....

Answer:

7:20 pm

Step-by-step explanation:

the phrase "twenty to seven in the evening" implies that is twenty minutes before 7:00 pm, meaning the current time was 6:40 pm.

Adding the 40 minutes it took Harmony to get home, the time would have been 7:20 pm

Answer:

6 i think

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

You order all the numbers from least to greatest and the center number/s is the median.

If two numbers are in the center, you add them up and divide by 2

The median for this set was 4 and 4. We add those numbers (4+4=8) and divide the sum by 2. We get 4 as the answer

Answer:

A

Step-by-step explanation:

they took the square root of both sides

Answer:

[tex]K=6[/tex]

Step-by-step explanation:

In f(x) graph the vertex is at x=4

In g(x) the vertex at x=-2

so, the graph is shifted 6 units left. when the graph is shifted k units left then f(x) becomes f(x+k)

here the  graph is 6 units left so.. K= 6

[tex]-----------[/tex]

hope it helps...

have a great day!!

Answer:

1. A

2. B

Step-by-step explanation:

They want to isolate x in both cases.

So the best choice for question 1 is A because if he adds 10 to both sides x will be positive.

On question 3 the best choice is subtracting 15 from both sides

Answer:

9.4

Step-by-step explanation:

1+3+15+11+17=47

47/5=9.4

Answer:

i need answers

Step-by-step explanation:

Answer: I'm pretty sure that the answer is a

Hope this helps :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The starting number is 3

And they bring in 1 member each month

That can be shown with the last equation

Good luck!

Answer:

The angels are 60 degrees and 120 degrees

Step-by-step explanation:

The sum of two supplementary angels equal 180 degrees.

So, lets look at the ratio: 6:3

We then add 6 and 3 together which gives us 9.

Then you put it in this equation:

9x = 180

x= 20

- You are adding the two numbers and dividing the sum by 180 because the answer will tell us how much 1 would equal.

- In this case, we multiply 20 by 6 = 120 degrees

- Then we multiply 20 by 3 = 60 degrees.

(We can check our answer by: 120 + 60 = 180 degrees) :)