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photoshop1234 [79]
3 years ago
11

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

Mathematics
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
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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:

-88

Step-by-step explanation:

Because when you all ad it down you get -96 and then -8= -88

8 0
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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6 0
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}

3 0
3 years ago
Is 3/7 and 18/42 equivalent ratios
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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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