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3 years ago

Find the slope of the line through the points (-2,5) and (-6,-3)

Mathematics

1 answer:

Westkost [7]3 years ago

6 0

Answer:

slope = 2

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 ) = (- 2, 5) and (x₂, y₂ ) = (- 6, - 3)

m = $\frac{-3-5}{-6+2}$ = $\frac{-8}{-4}$ = 2

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What is the converse of the following true conditional? If the converse is true, rewrite the statements as a bioconditional. If

Andrews [41]

The original statement is true!
the converse: If 2 lines do not intersect, they are parallel
the converse is false, the lines could be skew.
Hope this helped :)

3 0

2 years ago

How do I solve -0.4r=16?

Leviafan [203]

Answer:

r = -40

Step-by-step explanation:

1. Move constants to the other side of the equation

r = 16/-.04

2. Simplify (by calculator)

You can use a calculator and plug in 16/-.04

r = -40

2. Simplify (by fraction)

You can turn -.4 into a fraction.

-.04 = - 4/10

r = 16/-(4/10)

r = 16*10/-4

r = -40

6 0

2 years ago

A rope from the top of a pole is anchored to the ground which is 55 ft away from the base of the pole. The pole is 48 ft tall. W

Irina-Kira [14]

Answer:

73 feet.

Step-by-step explanation:

Given:

A rope from the top of a pole is anchored to the ground which is 55 ft away from the base of the pole.

The pole is 48 ft tall.

Question asked:

What is the length of the rope?

Solution:

Here we found that a right angle triangle is formed in which base and height is given as shown in the figure, we have to find the longest side of the triangle,

Base = 55 feet

Height = 48 feet

Length of the rope = ?

By Pythagoras theorem:

Square of longest side = Square of base + Square of height

$(Longest\ side)^{2} =$ $55^{2} +48^{2}$

$(Longest\ side)^{2} =$ $3025+2304$

$(Longest\ side)^{2} =$ $5329$

Taking root both side

$\sqrt[2]{(Longest\ side)^{2} } =\sqrt[2]{5329}$

$Longest\ side =$ $73$

Thus, length of the rope is 73 feet.

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5 0

3 years ago

I forgot how to do these. Please help!

Vesna [10]

I tried to help hope this helps

5 0

3 years ago

Sarah the cheetah ran 100 meters at a speed of 16.8 meters per second. An olympian ran the 100-meter dash in 9.6 seconds. How mu

prohojiy [21]

Answer:

Sara's speed was 6.4 meters per second faster

Step-by-step explanation:

(Were going to name the olympian steve)

First, we have to find how many meters per second Steve ran. To find this we must divide the number of meters he ran by the amount of time it took him to run all 100 meters.

100 ÷ 9.6 =10.41666667

Since the problem tells us to round to the nearest tenth of a second we round 10.41666667 to 10.4. So now we know how many meters per second Steve ran. Now all we have to do is subtract the number of meters per second Sarah ran, from the number of meters per second Steve ran.

Sarah- 16.8 meters per second

Steve- 10.4 meters per second

16.8-10.4= 6.4

And there you have it! Sarah ran 6.4 meters per second more than Steve. I hope this answer was accurate and helpful. I hope you have an AMAZING day!

6 0

3 years ago

Read 2 more answers