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3 years ago

What is the slope of the line that passes through the points

Mathematics

1 answer:

Maslowich3 years ago

3 0

Answer:

The slope is -2

Step-by-step explanation:

(−4,7);(2,−5)

(x1,y1)=(−4,7)

(x2,y2)=(2,−5)

m= y2−y1 /x2−x1

−5−7 /2−4

−12 /6

−2

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What is the area of a rectangle whose length is 78 feet and width is 26 feet?

nordsb [41]

Answer:

2,028

Step-by-step explanation:

A =L x W so 78 x 26 = 2,028

YOUR WELCOME!

5 0

4 years ago

-(x-3)-2=2x<br> will need help ASAP

oksano4ka [1.4K]

Answer:

1/3 = x

Step-by-step explanation:

3 0

3 years ago

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A cone and a cylinder have the same height and their bases are congruent circles

Anettt [7]

Answer:

$30cm^3$

Step-by-step explanation:

the volume of a cylinder is given by:

$v_{cylinder}=\pi r^2 h$

and the volume of a cone is given by:

$v_{cone}=\frac{\pi r^2 h}{3}$

since both have the same height and radius, we can solve each equation for $r^2h$ (because this quantity is the same in both figures) and then match the expressions we find:

from the cylinder's volume formula:

$r^2h=\frac{v_{cylinder}}{\pi}$

and from the cone's volume formula:

$r^2h=\frac{3 v_{cone}}{\pi}$

matching the two previous expressions:

$\frac{v_{cylinder}}{\pi} =\frac{3v_{cone}}{\pi}$

we solve for the volume of a cone $v_{cone}$ :

$v_{cone}=\frac{\pi v_{cylinder}}{3\pi} \\\\v_{cone}=\frac{v_{cylinder}}{3}$

substituting the value of the cylinder's volume $v_{cylinder}=90cm^3$

$v_{cone}=\frac{90cm^3}{3} \\\\v_{cone}=30cm^3$

5 0

4 years ago

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What is the initial conflict? What is the princess's struggle? What decision is made? What are the consequences of the choice?

igor_vitrenko [27]

answers:

What is the initial conflict?

✔ Anyone placed in the arena gets either married or killed.

What is the princess's struggle?

✔ Her lover is in the arena, and she is jealous of the girl he might have to marry.

What decision is made?

✔ The reader never finds out.

What are the consequences of the choice?

✔ The princess will either let her love die or let him marry someone else.

6 0

3 years ago

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Y/x^2 + y/x^3<br><br>perform the operation and express your answer as a single fraction

umka2103 [35]

Answer:

$\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}$

Step-by-step explanation:

Given the expression

$\frac{y}{x^2}+\frac{y}{x^3}$

Let us perform the operation and express your answer as a single fraction

$\frac{y}{x^2}+\frac{y}{x^3}=\frac{x^3y+x^2y}{x^5}$

$=\:\frac{x^2\left(xy+y\right)}{x^5}$

$=\frac{\left(xy+y\right)}{x^3}$

Therefore, we conclude that:

$\frac{y}{x^2}+\frac{y}{x^3}=\frac{yx+y}{x^3}$

3 0

3 years ago