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Andrews [41]
2 years ago
13

Can someone help please?

Mathematics
1 answer:
Vlada [557]2 years ago
5 0

Answer:

Step-by-step explanation:

Vertex of the given parabola = (1, -4)

Since, vertex form of a parabola is given by,

y = (x - h)² + k

Here (h, k) is the vertex

Now substitute the coordinates (1, -4) in the equation.

y = (x - 1)²- 4 [Vertex Form]

Further solve this equation,

y = x² - 2x + 1 - 4

y = x² - 2x - 3 [Standard form]

Further write this equation in the factored form,

y = x² - 3x + x - 3

y = x(x - 3) + 1(x - 3)

y = (x + 1)(x - 3) [Factored form]

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Through (-4,5) and parallel to y = -3/2x-5
Ratling [72]

<em>**Disclaimer** Hi there! I assumed the question to be asking for a line expression. The following answer will be according to this understanding. Please let me know if I am incorrect and I will modify my answer correspondingly</em>

Answer: \Large\boxed{y-5=-\dfrac{3}{2} (x+4)}

Step-by-step explanation:

<u>Given information</u>

\text{Pass~through~point}=(x_1,~y_1)=(-4,~5)

\text{Parallel~to}:y=-\dfrac{3}{2} x-5

<u>Given equation form</u>

<em>Point-slope form is the most efficient way to write the expression</em>

\text{Point-slope form}:y-y_1=m(x-x_1)

(x_1,~y_1)=\text{A point that the line passes through}

m=\text{Slope}

<u />

<u>Determine the slope</u>

\text{Since the line is parallel to } y=-\dfrac{3}{2} x-5 \text{ , by the property of parallel}\\\text{lines, the slope of the given line is also }-\dfrac{3}{2}

\text{Therefore, m}=-\dfrac{3}{2}

<u>Substitute values into the given form</u>

y-y_1=m(x-x_1)

y-(5)=-\dfrac{3}{2} (x-(-4)

<u>Simplify the expression</u>

\Large\boxed{y-5=-\dfrac{3}{2} (x+4)}

Hope this helps!! :)

Please let me know if you have any questions

5 0
1 year ago
Please Answer Soon!
Juli2301 [7.4K]

Answer:

23

Step-by-step explanation:

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3 years ago
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3 years ago
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What is the solution to the system of equations below? 3x-2y=7 and -3x+5y=5
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Step-by-step explanation:

So you add one over the other

3x-2y=7

-3x+5y=5

=

3y=12

Then you divide 3 from both sides

(3y)/3=12/3

y=4

Then you substitute the y=4 in to the equation of your choice

3x-2(4)=7

3x-8=7

3x-8=7

+8 +8

3x=15

x=5

8 0
3 years ago
Janet was asked to use the distributive property. She noticed she was marked wrong but does not know what step she did incorrect
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Answer:

You distribute the 2 to all numbers in the 3rd step

Step-by-step explanation:

DISTRIBUTION: you must distribute the outside number to all the inside numbers in the parentheses.

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