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AleksandrR [38]
2 years ago
14

I WILL GIVE 20 POINTS!! PLEASE HELP!

Mathematics
1 answer:
artcher [175]2 years ago
4 0

Answer:

the second option.

-3\leq x\leq 0

Step-by-step explanation:

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Find the x-intercepts of the parabola with vertex (1,-108) and y-intercept (0,-105). Write your answer in this form: (X1,y1), (x
Stolb23 [73]

Answer:

(7, 0) and (-5, 0)

Step-by-step explanation:

<u>Vertex form</u>

y=a(x-h)^2+k  

(where (h, k) is the vertex)

Given:

  • vertex = (1, -108)

\implies y=a(x-1)^2-108

Given:

  • y-intercept = (0, -105)

\implies a(0-1)^2-108=-105

\implies a(-1)^2=-105+108

\implies a=3

Therefore:

\implies y=3(x-1)^2-108

The x-intercepts are when y = 0

\implies 3(x-1)^2-108=0

\implies 3(x-1)^2=108

\implies (x-1)^2=36

\implies x-1=\pm \sqrt{36}

\implies x=1\pm 6

\implies x=7, x=-5

Therefore, the x-intercepts are (7, 0) and (-5, 0)

7 0
2 years ago
What is 33 photos into two grours so the ratio is 4 to 7
Keith_Richards [23]
ratio:\\4:7\to4+7=11\\\\33:11=3\\\\therefore\\\\4:7\\\downarrow\\4\times3=12\\7\times3=21\\\\Answer\huge\boxed{12:21}
7 0
3 years ago
Read 2 more answers
What is the slope of (1,5) and (4,-2)
andriy [413]

Answer:-2-5÷4-1=-1

Step-by-step explanation:

6 0
3 years ago
WHOEVER ANSWERS CORRECTLY I WILL MARK BRAINLIEST!!
gizmo_the_mogwai [7]

Answer:

Area = 342cm^2, Perimeter = 22.79 cm

Step-by-step explanation:

First, divide the shape into 3:

An arc, a square, and a triangle.

Dimensions of shapes:

Arc:

Degree = 40°

Arms = 4 cm

Square:

All sides are 4 cm

Triangle:

base = 3 cm

height = 4 cm

hypotenuse = 5 cm

To get perimeter:

Arc length = \frac{40}{360} * (2*\pi * (4))   (4 is the arm length ) = 2.7925 cm

Arc arm = 4 cm

Square sides (only two are outside) = 2 * 4 = 8 cm

Triangle (only hypotenuse and base are outside) = 5 + 3 = 8 cm

So total perimeter is 2.7925 + 4 + 8 + 8 = 22.79cm

To get area:

Arc area (the pizza shape) = \frac{40}{2\pi } * \pi * (4)^{2}   (4 is the arm length) = 320 cm^{2}

Square area  = side * side = 4 * 4 = 16 cm^{2}

Triangle =  (1/2) * base* height = (1/2) * 3 * 4 = 6cm^{2}

So total area is 320 + 16 + 6 = 342cm^2

3 0
3 years ago
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What is the completely factored form of x4y – 4x2y – 5y?
Lady_Fox [76]
If you would like to write x^4y - 4x^2y - 5y in a completely factored form, you can do this using the following steps:

x^4y - 4x^2y - 5y = y * (x^4 - 4x^2 - 5) = y * (x^2 + 1) * (x^2 - 5)

The correct result would be <span>y * (x^2 + 1) * (x^2 - 5).</span>
4 0
3 years ago
Read 2 more answers
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