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Readme [11.4K]
2 years ago
14

Line C passes through the points (-6, -2) and (3,8). Line Fis perpendicular to Line C. What is the slope of Line F?

Mathematics
1 answer:
adoni [48]2 years ago
4 0

Answer:

-9/10

Step-by-step explanation:

The slope of line C is m=\frac{8-(-2)}{3-(-6)}=\frac{10}{9}.

The slope of any line perpendicular to line C is the negative (opposite) <u>reciprocal</u> of this slope.

The slope of line F is -\frac{9}{10}.

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A school is painting its logo in the shape of a triangle in the middle of its sports field. The school wants the height of the t
Radda [10]

Answer:

b\geq 9

In other words, the base must be at least 9 feet long.

Step-by-step explanation:

The schools wants the height of the triangle to be eight feet, and the area of the logo to be at least 36 square feet.

Recall that the area of a triangle is given by:

\displaystyle A = \frac{1}{2}bh

Since we want to area to be at least 36 square feet:

\displaystyle \frac{1}{2}bh \geq 36

We are given that the height is eight feet. Substitute:

\displaystyle \frac{1}{2}(8)b\geq 36

Simplify:

4b\geq 36

Divide both sides by four. Hence, our inequality is:

b\geq 9

In words, this means that the base must be at least 9 feet long.

3 0
3 years ago
Solve for x.<br> 4(3x-8)=-92<br><br> i need help
STALIN [3.7K]

Answer:

x = -5

Step-by-step explanation:

Divide each term by 4 and simplify.

3x - 8 = -92

Move all terms not containing X to the right side of the equation.

3x = -15

Divide each term by 3 and simplify.

x=-5

6 0
3 years ago
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Y + 1 = -2x-3 in standard form *
notka56 [123]

Answer:

<em>y = -2x - 4</em>

Step-by-step explanation:

<em>y + 1 = -2x - 3</em>

<em>Subtract 1 from both sides to get the y by itself</em>

<em>y = -2x - 3 - 1</em>

<em>Simplify (Combine Like terms)</em>

<em>y = -2x - 4</em>

8 0
3 years ago
An artist is trying to choose 5 covers for children’s books. There are 10 different covers to choose from. How many ways can the
Aleksandr [31]

Answer:

252

Step-by-step explanation:

The order of the books isn't important, so we'll use combinations.

The number of ways to choose 5 books from 10 is:

₁₀C₅ = 10! / (5! (10 − 5)!)

₁₀C₅ = 10! / (5! 5!)

₁₀C₅ = 10×9×8×7×6 / (5×4×3×2×1)

₁₀C₅ = 252

5 0
3 years ago
Liza is playing a game in which she earns 3 points for each correct response but loses 2 points for each incorrect response. She
ella [17]
Number 2 is the correct answer! 
have a nice day!!
7 0
2 years ago
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