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2 years ago

Find the surface area of the right rectangular prism shown below. units? 2.5 10 4

Mathematics

1 answer:

Mrrafil [7]2 years ago

3 0

Answer: Surface area = 46 units². Step-by-step explanation: The formula for determining the total surface area of a rectangular prism is expressed

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Find the equation of the line perpendicular to y = 3x + 6 and containing the point (-9,-5).

neonofarm [45]

The equation of the line perpendicular to y = 3x + 6 and containing the point (-9,-5) is $y = \frac{-1}{3}x - 8$

Solution:

Given that line perpendicular to y = 3x + 6 and containing the point (-9, -5)

We have to find the equation of line

The slope intercept form is given as:

y = mx + c ------ eqn 1

Where "m" is the slope of line and "c" is the y - intercept

Let us first find the slope of line

The given equation of line is y = 3x + 6

On comparing the given equation of line y = 3x + 6 with eqn 1, we get,

m = 3

Thus the slope of given equation of line is 3

We know that product of slopes of given line and slope of line perpendicular to given line is equal to -1

Slope of given line $\times$ slope of line perpendicular to given line = -1

$3 \times \text{ slope of line perpendicular to given line }= -1$

$\text{ slope of line perpendicular to given line } = \frac{-1}{3}$

Let us now find the equation of line with slope $m = \frac{-1}{3}$ and containing the point (-9, -5)

Substitute $m = \frac{-1}{3}$ and (x, y) = (-9, -5) in eqn 1

$-5 = \frac{-1}{3}(-9) + c\\\\-5 = 3 + c\\\\c = -8$

Thus the required equation of line is:

Substitute $m = \frac{-1}{3}$ and c = -8 in eqn 1

$y = \frac{-1}{3}x - 8$

Thus the required equation of line perpendicular to given line is found

6 0

3 years ago

164,215 rounded to the nearest hundred thousand

ruslelena [56]

The answer is 200,000

3 0

3 years ago

Read 2 more answers

For what values of x is the following equation satisfied : 3x+9 = 21+7x ?

olya-2409 [2.1K]

First of all, the first power of 'x' is the highest power in the whole equation,
so we only expect one solution.

You said that 3x+9 = 21+7x 

Subtract 3x from each side:

9 = 21 + 4x

Subtract 21 from each side:

-12 = 4x

Divide each side by 4 :

-3 = x 

4 0

3 years ago

Read 2 more answers

Find the distance between <img src="https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B12%7D" id="TexFormula1" title="\frac{7}{12}" alt="\

jek_recluse [69]

Answer:

5/36

Explanation:

Distance on a number line is basically difference between two numbers. So we subtract the two numbers. This can be solved on a calculator btw. 7/12 - √16/81 = 5/36.

3 0

2 years ago

Find the slope of the line below . Enter your answer as a fraction or decimal. Use a slash mark ( / ) as the fraction bar if nec

rusak2 [61]

Answer:

$\displaystyle m = 3$