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2 years ago

Aline has a slope of 6 and includes the points (-9, 0) and (-8, a). What is the value of a?

Mathematics

1 answer:

Lunna [17]2 years ago

3 0

Answer:

a = 6

Step-by-step explanation:

Given information:

Slope = 6

Coordinates: (-9, 0) and (-8, a)

Slope formula = y2 - y1 / x2 - x1

Substitute the given values into the formula.

6 = a - 0 / -8 - (-9)

6 = a - 0 / 1

6 = a - 0

a = 6

hope this helps!! p.s. i really need brainliest :)

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Find the 63rd term of the arithmetic sequence -1, 5, 11, ...−1,5,11,...

Ugo [173]

Answer:

$a_6_3=371$

Step-by-step explanation:

we know that

In an <u><em>Arithmetic Sequence</em></u> the difference between one term and the next is a constant and this constant is called the common difference

we have

$-1,5,11,...$

Let

$a_1=-1\\a_2=5\\a_3=11$

$a_2-a_1=5-(-1)=5+1=6$

$a_3-a_2=11-5=6$

The common difference is $d=6$

We can write an Arithmetic Sequence as a rule

$a_n=a_1+d(n-1)$

where

a_n is the nth term

d is the common difference

a_1 is the first term

n is the number of terms

Find the 63rd term of the arithmetic sequence

we have

$n=63\\d=6\\a_1=-1$

substitute

$a_6_3=-1+6(63-1)$

$a_6_3=-1+6(62)$

$a_6_3=-1+372$

$a_6_3=371$

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3 years ago

Y=99.99+23.75(x-1) as a Y=ax+b equation

Hatshy [7]

Answer:

$y = 23.75x + 76.24$

Step-by-step explanation:

We want to rewrite

$y = 99.99 + 23.75(x - 1)$

in the form

$y = ax + b$

We expand to get:

$y = 99.99 + 23.75x - 23.75$

Regroup similar terms:

$y = 23.75x - 23.75 + 99.99$

Simplify:

$y = 23.75x + 76.24$

This is now of the form

$y = ax + b$

where a=23.75 and b=76.24

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4 years ago