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photoshop1234 [79]

3 years ago

11

The given line passes through the points (-1,-1) and (4.1).

1 answer:

ira [324]3 years ago

6 0

Answer:

(-1,-1) and (4.1).

1+1

slope of the line: m= ------- = 2/5

4+1

the slope of the perpendicular line: -5/2 and point (-1,3)

(y-3) = -5/2(x+1)

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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 with this!

GalinKa [24]

Answer:

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Step-by-step explanation:

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3 years ago

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Five cupcakes and two cookies cost $19.75. Two cupcakes and four cookies cost $ 17.50.

alina1380 [7]

Answer:

Step-by-step explanation:

Let x and y represent the cost of a cupcake and cookie respectively.

Given that;

Five cupcakes and two cookies cost $19.75.

$5x+2y=19.75 ---------- 1$

Two cupcakes and four cookies cost $17.50.

$2x+4y=17.50 --------------2$

Let's solve the simultaneous equation by elimination;

Multiply equation 1 by 2;

$10x+4y=39.50-------3\\$

Subtract equation 2 from equation 3;

$10x-2x+4y-4y=39.50-8x=22$

$8x=22$

divide both sides by 8

$\frac{8x}{8} =\frac{22}{8} \\x=2.75$

Since we have the value of x, let substitute into equation 1 to get y;

$5x+2y=19.75\\5(2.75)+2y=19.75\\13.75+2y=19.75\\2y=19.75-13.75\\2y=6\\y=\frac{6}{2} \\y=3.00$

therefore , the cost of cupcakes and cookies are;

$cupcakes= 2.75\\cookies= 3.00$

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3 years ago

1. Find the sum of the measures of the interior angles of a convex 11-gon.

OleMash [197]

Answer:

The measure of the sum of interior angles of a 11-gon is $1620^{o}$ .

Each interior angle is approximately $147.273^{o}$ .

Step-by-step explanation:

A convex polygon has the measure of each interior angles to be less than $180^{o}$ .

But,

sum of interior angles of polygon = (n - 2) x $180^{o}$

where n is the number of sides of the polygon.

For a convex 11-gon, we have;

sum of angles of a 11-gon = (11 - 2) x $180^{o}$

= 9 x $180^{o}$

= $1620^{o}$

Sum of angles of a 11-gon = $1620^{o}$

To check: convex polygons' interior angles are less than $180^{o}$ .

so that,

each interior angle of 11-gon = $\frac{1620}{11}$

= $147.273^{o}$

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3 years ago

Is 3/7 and 18/42 equivalent ratios

nignag [31]

Yes they are. if you multiply numerator and denominator of 3/7 by 6, you get 18/42

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3 years ago

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