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Zolol [24]
2 years ago
11

Reflection across x=-2​

Mathematics
2 answers:
lara31 [8.8K]2 years ago
6 0

Hello,

answer in the jointed picture

shutvik [7]2 years ago
4 0
X=2 that’s the correct answer
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Use the parabola tool to graph the quadratic function f(x)=(x-5)^2+1
andrey2020 [161]

Answer:

Look to the attached graph

Step-by-step explanation:

* Lets revise how to graph the quadratic function

- Find the vertex of it

- Find the y-intercept

- Find the x-intercept

∵ f(x) = (x - 5)² + 1 ⇒ the completing square form

- The completing square form for any quadratic is

 ( x - h)² + k, where h and k are the coordinate of the vertex point

* Lets compare the two forms

∵ (x - h)² + k = (x - 5)² + 1

∴ h = 5 and k = 1

∴ The vertex of the parabola is (5 , 1)

- To find the x-intercept put f(x) = 0

∵ (x - 5)² + 1 = 0 ⇒ subtract 1 from both sides

∴ (x - 5)² = -1 ⇒ the square can not give -ve number

∴ The parabola does not intersect the x-axis

- To find the y-intercept put x = 0

∵ f(0) = (0 - 5)² + 1 = 25 + 1 = 26

∴ The parabola intersects the y-axis at point (0 , 26)

- The parabola is opened upward because the coefficient of x² is +ve

* Now lets graph it

- Look to the attached graph

5 0
3 years ago
A photograph has a length that is 6 inches longer than its width, x. So its area is given by the expression x(x+6) square inches
Taya2010 [7]
Answer: 8 inches

Solving Steps:

x(x + 6) = 112
x^2 + 6x = 112
x^2 + 6x - 112 = 0
(x + 14)(x - 8) = 0
x + 14 = 0
x = -14
^^^ reject because distance can’t be negative
x - 8 = 0
x = 8

Check:

x(x + 6) = 112
8(8 + 6) = 112
64 + 48 = 112
112 = 112
4 0
2 years ago
How to calculate future value compounded quarterly?
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The annual interest rate is restated to be the quarterly rate of i = 2% (8% per year divided by 4 three-month periods). The present value of $10,000 will grow to a future value of $10,824 (rounded) at the end of one year when the 8% annual interest rate is compounded quarterly.
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3 years ago
How many buttons are there in fionas fashion
alexandr402 [8]

Answer:

There are 842 buttons

Step-by-step explanation:

7 0
3 years ago
Find the GCF of each expression. Then factor the expression.
GaryK [48]
For finding GCF, just find the least number among them.
For example: 
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You can't divide 9 by 2 so the answer in this equation would be 3.

b.) 2a^ 2 + 22a + 60 I's just the same method to use. In this case, we will use 2a^2. The factors that can be divided to 2 is (2,1). So we will choose 2 because it is the GCF of 2 and the equation is divisible by 2.
3 0
3 years ago
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