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vaieri [72.5K]
3 years ago
6

11. PLS help!!! the question is attached in the image below

Mathematics
1 answer:
Colt1911 [192]3 years ago
4 0

Answer:

y = 3/2x-5/2

Step-by-step explanation:

We have two points so we can write the equation for the line. (-1,-4) and (3,2)

First we can find the slope by using

m= (y2-y1)/(x2-x1)

m = (2- -4)/(3 - -1)

   =(2+4)/(3+1)

   = 6/4

    = 3/2

Then put the slope into the slope intercept form of the equation

y= mx+b  where m is the slope and b is the y intercept

y = 3/2x+b

We will use the point (3,2) and substitute it into the equation to find b

2 = 3/2(3)+b

2 = 9/2 +b

Subtract 9/2 from each side

4/2 -9/2 = 9/2-9/2 +b

-5/2 = b

y = 3/2x-5/2

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the vertex of parabola is (-2,-3).when the y-value is -2 , the x-value is -5. what is the coefficient of the squared expression
Fantom [35]

The coefficient of the squared expression is 1/9

<h3>How to determine the coefficient of the squared expression?</h3>

A parabola is represented as:

y = a(x - h)^2 + k

Where:

Vertex = (h,k)

From the question, we have:

(h,k) = (-2,-3)

(x,y) = (-5,-2)

So, the equation becomes

-2 = a(-5 + 2)^2 - 3

Add 3 to both sides

1 = a(-5 + 2)^2

Evaluate the sum

1 = a(-3)^2

This gives

1 = 9a

Divide both sides by 9

a = 1/9

Hence, the coefficient of the squared expression is 1/9

Read more about parabolas at:

brainly.com/question/4061870

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Step-by-step explanation:

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3 years ago
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When asked to write the prime factorization of the number 27 a student wrote 9 . 3. Explain the error and write the correct answ
kondor19780726 [428]

The correct prime factorization of 27 is 3 x 3 x 3

<em><u>Solution:</u></em>

Given that,

When asked to write the prime factorization of the number 27 a student wrote 9 . 3

So the student has written,

prime factorization of 27 = 9 . 3

This is wrong

Let us first understand about prime factorization

Prime factorization of a number is any of the prime numbers that can be multiplied to give the original number

A prime number is a whole number greater than 1 whose only factors are 1 and itself.

The first few prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29

Clearly from above list we can see that 9 is not a prime number

So the correct prime factorization of 27 is:

prime factorization of 27 = 3 x 3 x 3

Here "3" is a prime number

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