3 years ago

1 Write an equation in point-slope form for the line through the given point with the

Mathematics

1 answer:

Mrac [35]3 years ago

8 0

Answer:

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

(x₁, y₁) - point on a line

We have the slope m = -2, and the point (10, -9).

Substitute:

$y-(-9)=-2(x-10)\\\\y+9=-2(x-10)$

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3 years ago

The 17th term of an Arithmetic sequence is 51. If the commons difference is 7, what is the first term ?

vovikov84 [41]

Answer:

The first term is:

$a_1=-61$

Step-by-step explanation:

The arithmetic sequence is defined by

$a_n=a_1+\left(n-1\right)d$

where

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$d$ is the common difference

the 17th term of an arithmetic sequence is 51.

i.e. $a_{17}=51$

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$a_{17}=a_1+\left(17-1\right)d$

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Therefore, the first term is:

$a_1=-61$

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3 years ago

What is the reflection of point P (-1,6) across the line y=x

vesna_86 [32]

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3 years ago

working alone, aliyah can dig a 10ft by 10 ft hole is 6 hours. one day her friend eugene helped her and it only took 3.75 hours.

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Answer:

I think the answer is 10 hours

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