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3 years ago

14

Match the pairs.

1 answer:

mamaluj [8]3 years ago

7 0

To solve the problem you must apply the corresponding formulas for calculate the area of each figure. Therefore, you have:

1-A cube where the length of each edge is 4 inches: <span>96 square inches
</span><span> A=6a^2=96 inches^2
2- A triangular prism where the area of each base is about 20 square inches, the length of each side of the base is 6 inches, and the height of the prism is 2 inches: </span><span>76 square inches.</span><span>
3- A square pyramid with a base length and slant height of 5 inches: 75</span><span> square inches.
</span><span>A=2(5)(5)+5^2=75 inches^2
4- A rectangular prism with a length of 5 inches, a width of 4 inches, and a height of 3 inches:</span>94 square inches .
A=2(4x5+3x5+3x4)=94 inches^2

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Determine the intercepts of the line that passes through the following points (10,20) (15,12) (20,4)

Novay_Z [31]

Answer:

x intercept is (45/2,0)

y intercept is (0,-36)

Step-by-step explanation:

Slope intercept form of equation of line is

y=mx+b where m is the slope and b is the y intercept

use any two points to find the slope

(10,20) (15,12)

$slope = \frac{y_2-y_1}{x_2-x_1} =\frac{12-20}{15- 10} = \frac{-8}{5}$

m = -8/5

now we find out b using (10,20)

$20 = \frac{-8}{5} (10)+b$

20 = -16 + b

add 16 on both sides , so b = 36

b is the y intercept , so y intercept is (0,-36)

Now we find x intercept

equation of line is y=mx+b that is $y = \frac{-8}{5}x+36$

To find x intercept plug in 0 for y

$0= \frac{-8}{5}x+36$

subtract 36 on both sides

$-36= \frac{-8}{5}x$

Multiply by -5/8 on both sides

$-36*\frac{-5}{8}=x$

$\frac{45}{2}=x$

x intercept is (45/2,0)

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