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blagie [28]
3 years ago
12

Factor x^2 - 8x + 16

Mathematics
1 answer:
zlopas [31]3 years ago
6 0
X^2-8x+16 = x^2-2*x*4+4^x => (x-4)^2 => C
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PLs help 50 PTS!!!!! PLEASE ILL GIVE BRAINLIEST!!!!!
Nookie1986 [14]

Answer:

\large\boxed{y=\dfrac{1}{4}x^2-x-4}

Step-by-step explanation:

The equation of a parabola in vertex form:

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

<em>(h, k)</em><em> - vertex</em>

The focus is

\left(h,\ k+\dfrac{1}{4a}\right)

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of <em>a</em> using k+\dfrac{1}{4a}

<em>k = -5</em>

-5+\dfrac{1}{4a}=-4        <em>add 5 to both sides</em>

\dfrac{1}{4a}=1           <em>multiply both sides by 4</em>

4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4

\dfrac{1}{a}=4\to a=\dfrac{1}{4}

Substitute

a=\dfrac{1}{4},\ h=2,\ k=-5

to the vertex form of an equation of a parabola:

y=\dfrac{1}{4}(x-2)^2-5

The standard form:

y=ax^2+bx+c

Convert using

(a-b)^2=a^2-2ab+b^2

y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5

<em>use the distributive property: a(b+c)=ab+ac</em>

y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4

3 0
3 years ago
Please Help Me I will give Brainliest!
S_A_V [24]

Answer:

X= -1

Y= 2

Step-by-step explanation:

-1 + 3(2) = 5

-1 - 2 = -3

7 0
3 years ago
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What is the perimeter of the shape?
Serhud [2]

Answer:

20 cm

Step-by-step explanation:

Assuming that the side lengths you've written are the only side lengths of the shape, meaning it would be a trapezoid, all you do is add them up together.

3 + 5 + 5 + 7 = 20

3 0
3 years ago
Read 2 more answers
Please help me, i want now
VARVARA [1.3K]

The value of angle C in the triangle is 50°.

<h3>How to calculate the triangle?</h3>

From the information given, the angle A = 60° while B is given as 70° and we are told to calculate the value of C.

It should be noted that the sum of angles on a triangle is 180°. Therefore, the value of C will be:

= 180° - (60° + 70°)

= 180° - 130°

= 50°

Learn more about triangles on:

brainly.com/question/1058720

#SPJ1

6 0
2 years ago
Find the GCF of the following literal terms.<br><br> m^7n^4p^3 and mn^12p^5
Sidana [21]
I hope this helps you

3 0
3 years ago
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