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2 years ago

Which is the equation of the line that passes through the points (-4, 3) and (2,-6)

1 answer:

6 0

First we have to find the slope by dividing the difference of the ys over the xs

-6 - 3 = -9 (y)
2 - -4 = 6 (x)

the slope is -9/6 or -3/2

now we plug the slop along with a set of points into the slope intercept formula (y=mx+b) to find b (the y intercept)

-6 = 2(-3/2) + b
-6 = -3 + b
-3 = b

so the equation would be y = (-3/2)x - 3

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Will give 25 points and brainliest answer if correct

Norma-Jean [14]

Let $d$ be the common difference between terms in the sequence $\{a_n\}_{n\ge1}$ . Then

$a_{19}=-58$
$a_{20}=a_{19}+d$
$a_{21}=a_{19}+2d$
$\implies-164=-58+2d\implies d=-53$

The first term in the sequence, $a_1$ , satisfies

$a_2=a_1+d$
$a_3=a_1+2d$
$a_4=a_1+3d$
...
$a_{19}=a_1+18d$
$\implies-58=a_1+18(-53)\implies a_1=896$

So the explicit formula for the $n$ -th term in the sequence is

$a_n=a_1+(n-1)d\implies a_n=896-53(n-1)$

5 0

3 years ago

Please answer correctly !!!!!!!!!!!!!! Will Mark Brianliest !!!!!!!!!!!!!!!!!!!

alexgriva [62]

Answer:

x = 30

Step-by-step explanation:

well from the theorem we have

$\frac{15}{3}=\frac{x}{6}$

yes i know you could say that the right way is

$\frac{3}{15}=\frac{6}{x}$

well if you notice they are the same only that in my way the x is in the numerator which means it will be far easier to know it's value :)

$\frac{15}{3}=\frac{x}{6}\\\\5=\frac{x}{6}\\\\6[5]=6[\frac{x}{6}]\\\\30=x$

8 0

3 years ago

In the cookie jar there are 20 cookies. 1/4

stepan [7]

Answer:

15 chocolate chip

Step-by-step explanation:

1/4 of 20 is 5

this means there are 5 peanut butter cookies.

so 20-5= 15

this means there are 15 chocolate chip cookies

hope this helps!

4 0

3 years ago

The sum of three numbers is 104. The first number is 10 less than the second. The third number is 4 times the second. What are t

AnnyKZ [126]

Answer:

The numbers are 9, 19 and 76.

Step-by-step explanation:

Let's take the second number and make it a variable, like x. Now let's find all the other numbers in terms of x.

The first number in terms of x:

$x - 10$

The second number in terms of x:

$4x$

If we add them all up, these 3 numbers in terms of x must be equal to 104, so:

$x + (x - 10) + (4x) = 104 \\ x + x - 10 + 4x = 104 \\ 6x - 10 = 104 \\ 6x = 114 \\ x = 19$

Now that we know the second number, we can find the other numbers since we already figured out their values in terms of x:

$19 - 10 = 9$

$4 \times 19 = 76$

The first number is 9, second number 19 and the third number 76.

6 0

2 years ago

In the equation shown below what is the "a"value? y= 2x2square +4x -9

Marat540 [252]

Answer:

The "a" value is 2x^2

Step-by-step explanation:

This is because it is the first part of the equation. The parts of the equation are given the values a, b, and c based on their position in the equation.

If this answer is correct, please make me Brainliest!

6 0

3 years ago