2 years ago

Find the gradient of the line segment between the points (-8,6) and (3,8).

Mathematics

1 answer:

sergey [27]2 years ago

4 0

Answer:

Step-by-step explanation:

The gradient or slope of a line is defined as

m=(y2-y1)/(x2-x1), we have points (-8,6) and (3,8)

m=(8-6)/(3-(-8))

m=2/11

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Two mechanics worked on a car. The first mechanic charged $65 per hour, and the second mechanic charged $90 per hour. The mechan

Katena32 [7]

Answer:

First mechanic worked 20 hours and second mechanic worked 5 hours

Step-by-step explanation:

Let the number of hours the first mechanic worked = $a$

Let the number of hours the second mechanic worked = $b$

Therefore, we can write 2 equations and then solve them simultaneously:

$a+b=25$

$65a+90b=1750$

Rearranging the first equation: $a=25-b$

and substituting into the second equation to find $b$ :

$65(25-b)+90b=1750$

$1625-65b+90b=1750\\
25b=125\\
b=5$

Now sub $b=5$ into the first equation to find $a$

$a+5=25\\
a=20$

Therefore, first mechanic (a) worked 20 hours and second mechanic (b) worked 5 hours

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1 year ago

Are the triangles similar? If so, write a similarity statement for the triangles and explain how you know the triangles are simi

andrew-mc [135]

right-handThe triangles are similar if, the ratios of their sides are equal

$\frac{AE}{AC}=\frac{AW}{AL}$

$\frac{8+8}{6+6}=\frac{8}{6}$

On the left-hand side

$\frac{16}{12}=\frac{4}{3}$

and in the right-hand side, we have

$\frac{8}{6}=\frac{4}{3}$

The left-hand side equals the right-hand side; therefore, the triangles are similar.

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1 year ago

What is the effect on the graph of the function f(x) = |x| when f(x) is changed to f(x + 9)?

babymother [125]

The answer is A) shifts right by 9 units

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2 years ago

Read 2 more answers

Are the two triangles in the image above similar? If so then what is the correct postulate: SSS, SAS, or AA or None

viktelen [127]

the triangles are similar because of SSS

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2 years ago

The point P (5, -1) is rotated 90 degrees clockwise around the origin.

blondinia [14]

I would say the answer is c

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2 years ago