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EastWind [94]
3 years ago
10

Find the slope of the line that is perpendicular to the line graphed in the figure​

Mathematics
1 answer:
Margaret [11]3 years ago
3 0

Answer:

- \frac{1}{5}

Step-by-step explanation:

Calculate the slope m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = \frac{1-(-4)}{1-0} = \frac{1+4}{1} = 5

Given a line with slope m then the slope of a line perpendicular to it is

m_{perpendicular} = - \frac{1}{m} = - \frac{1}{5}

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Please help question in the picture
anzhelika [568]

Answer:

50

Step-by-step explanation:

40 squared is 1600

30 squared is 900

1600+900=2500

\sqrt{2500} =50

6 0
3 years ago
Dr black is standing 13 feet from a streetlamp. The lamp is making his shadow 9 feet long. He estimates that the angle of elevat
natta225 [31]

Dr black is standing 13 feet from a streetlamp. The lamp is making his shadow 9 feet long. He estimates that the angle of elevation from the tip of his shadow to the top of the streetlamp is 50° to the nearest foot the streetlamp is about  26 feet tall.

I hope this helps!

4 0
3 years ago
Hi, I’m really confused if anyone could help me out that would mean a lot?:)
marusya05 [52]

Hey there! :)

Answer:

a) 32 sticks.

b) 5n + 2 sticks.

Step-by-step explanation:

Solve this by finding the pattern.

Pattern # 1 = 7 sticks.

Pattern #2 = 12 sticks

Pattern #3 = 17 sticks.

We can see an increase of 5 sticks within each. We can use this to write an equation:

f(n) = 7 + 5(n-1)

***Where n is the term number

You can simplify the equation to become:

f(n) = 7 + 5n - 5

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Use this equation to solve for pattern # 6:

f(6) = 7 + 5(n-1)

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f(6) = 32.

6 0
2 years ago
A statement that switches the hypothesis and conclusion and negates both
Ghella [55]
Contrapositive – the statement formed by negating both the hypothesis and conclusion of the converse of a conditional statement.

Converse – the statement formed by exchanging the hypothesis and conclusion of a conditional statement. Counterexample – an example used to show that a given statement is not always true.
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OlgaM077 [116]
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