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2 years ago

Can someone solve point-slope lines and show work? I’m confused

Mathematics

1 answer:

Bad White [126]2 years ago

8 0

Answer:

Option (2)

Step-by-step explanation:

Equation of a line passing through a point (x', y') and slope 'm' is given by,

y - y' = m(x - x')

From the question in the picture attached,

Slope of the line 'm' = $-\frac{7}{10}$

Line passes through a point (80, -71).

Equation of the line will be,

y + 71 = $-\frac{7}{10}(x-80)$

y = $-\frac{7}{10}x+56-71$

y = $-\frac{7}{10}x-15$

Option (2) will be the answer.

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I will give brainliest to the right answer<3

Karo-lina-s [1.5K]

Andy will spend 12$ in wire.

We know this because he wants 25 ft of wire and there are 300 inches in 25ft

In the chart it says 150 inches is 6$ so if we multiply that by 2 we get the price for 300 inches which is 12$

Hope this helps :) comment if you need anymore help!

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3 years ago

60 pts!!! HELP Find the inverse of the function f(x)= 4/9 x-4<br> show work

earnstyle [38]

Answer:

Inverse Function: f^-1(x) = 9/4x + 9

Step-by-step explanation:

To find the inverse function we can interchange the position of the variables x and y, and then solve for y;

y = 4/9x - 4 => x = 4/9y - 4,

x = 4/9y - 4,

4/9y = x + 4,

y = 9/4x + 9/4(4),

y = 9/4x + 9/ f^-1(x) = 9/4x + 9

6 0

3 years ago

0/1 For positive integer n, n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?. What is the value of 4# · 3# · 2# · 1#?

MakcuM [25]

Answer:

331776

Step-by-step explanation:

Since n? = n! · (n − 1)! · … · 1! And n# = n? · (n − 1)? · … · 1?

Then 4# = 4? · (4 − 1)? · (4 − 2)?· 1?

= 4? · 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 4? = 4! · (4 − 1)! · (4 − 2)! · 1! = 4! · 3! · 2! · 1! = 288

Thus, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Also, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 4# = 4? · 3? · 2?· 1? = 288 × 12 × 2 × 1 = 6912

We now find 3#

3# = 3? · (3 − 1)? · 1? = 3? · 2?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 3? = 3! · (3 − 1)! · 1! = 3! · 2! · 1! = 12

Thus, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

and, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 3# = 3? · 2?· 1? = 12 × 2 × 1 = 24

We now find 2#

2# = 2? · (2 − 1)? · 1? = 2? · 1?· 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 2? = 2! · (2 − 1)! · 1! = 2! · 1! · 1! = 2

1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

So, 2# = 2?· 1? = 2 × 1 = 2

We now find 1#

1# = 1? · 1? = 1? · 1?

Now, n? = n! · (n − 1)! · … · 1!

So, 1? = 1! · (1 − 1)! · 1! = 1! · 0! · 1! = 1

And, 1# = 1? · 1? = 1 × 1 = 1

So, 4# · 3# · 2# · 1#? = 6912 · 24 · 2 · 1? = 331776

7 0

3 years ago

A Swimming pool is in the shape of a rectangular prism. the pool is 5 ft deep. Its length is 3 times its width. The volume of th

Natasha2012 [34]

To solve for the width and the length of the pool, you will use the formula for finding the volume of a rectangular prism. You will represent the length and the width of the pool in terms of w, the width.

Please see the attached picture for the work.

The width of the pool is 20 feet.

The length of the pool is 3 x 20 ft or 60 feet.

8 0

3 years ago

PLEASE HELP ASAP WORTH 30 POINTS Between which two whole numbers is ⎯⎯⎯⎯√square root of 12 ?

Brilliant_brown [7]

Answer:

Between 3 and 4

Step-by-step explanation:

3^2 = 3 × 3 = 9

4^2 = 4 × 4 = 16

12 is between 9 and 16

3 0

3 years ago