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umka21 [38]
3 years ago
9

Find the equation of the line that is perpendicular to 3x + 2y = -2 and goes through the point (6,2)

Mathematics
1 answer:
notka56 [123]3 years ago
4 0
Perpendicular lines have slopes that are inverse reciprocals of each other. That would give you the new slope in your equation. After that plug (6,2) into point slope form and solve to get your final equation.

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A rectangular swimming pool is twice as long as it is wide. A small concrete sidewalk surrounds the pool and is a constant 2 fee
Naddika [18.5K]

Answer:

The dimensions of the pool are:

Width: 8.944 feet

Length: 17.888 feet

Step-by-step explanation:

From Geometry, the area of a rectangle (A), measured in square feet, is determined by the following equations:

A = w\cdot l (1)

Where:

w - Width, measured in feet.

l - Length, measured in feet.

If we know that w = x, l = 2\cdot x and A = 160\,ft^{2}, then we get the following second order polynomial:

2\cdot x^{2}-160 = 0 (1)

And we solve the expression for x:

2\cdot x^{2} = 160

x^{2} = 80

x = \sqrt{80}\,ft

x \approx 8.944\,ft

Then, the dimensions of the pool are, respectively:

w \approx 8.944\,ft and l \approx 17.888\,ft

5 0
3 years ago
Express 112 as a product of prime numbers in index form?
alexgriva [62]
                                   112
                                    /  \
                                  2   56
                                       /  \
                                     2   28
                                          /  \
                                         2  14
                                              /  \
                                             2  7

So, the answer is 2 x 2 x 2 x 7 or 2^3 x 7
6 0
3 years ago
Find the absolute value:<br> 5.34 -4 2/11 0<br> -6 3/5 -2.12 8.2
earnstyle [38]

Answer:

Change the positive numbers to negative and change the negative numbers to positive.

Step-by-step explanation:

I hope this helps u! :D

6 0
3 years ago
The figure shows the location of 3 points around a lake. The length of the lake, BC, is also shown.
lions [1.4K]

Answer:

5.29

Step-by-step explanation:

Pythagorean theorem is used

We will call AB x

x^2 + 6^2 = 8^2

x^2 + 36 = 64

x^2 = 28

x = 5.2915026

<u>x = 5.26</u>

4 0
3 years ago
Mixed nuts sell for $7.89 a pound. Leticia fills a bag and weighs it. The bag weighs 2.3 pounds.
Maurinko [17]

Answer:

i think the answer is 18.15

Step-by-step explanation:

8 0
3 years ago
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