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vova2212 [387]
3 years ago
15

Question 1 options:

Mathematics
2 answers:
Mars2501 [29]3 years ago
4 0
A=1 b=1 c=- 4 correct answer
Vikki [24]3 years ago
4 0

your answer will be a=1 b=1 c= -4

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Triangle DEF has vertices D(−4, 1), E(2, 3), and F(2, 1) and is dilated by a factor of 3 using the point (1, 1) as the point of
CaHeK987 [17]

Answer: D'(-14,1);\ E'(4,7);\ F'(4,1)

Step-by-step explanation:

Since the center of dilation is not at the origin, we can use the following formula in order to find the coordinates of the vertices of the triangle D'E'F':

D_{O,k}(x,y)=(k(x-a)+a, k(y-b)+b)

Where "O" is the center of dilation at (a,b) and "k" is the scale factor.

In this case you can identify that:

(a,b)=(1,1)\\k=3

Therefore, susbtituting values into the formula shown above, you get that the coordinates ot the resulting triangle D'E'F, are the following:

Vertex D' → (3(-4-1)+1,\ 3(1-1)+1)=(-14,1)

Vertex E' → (3(2-1)+1,\ 3(3-1)+1)=(4,7)

Vertex F' → (3(2-1)+1,\ 3(1-1)+1)=(4,1)

6 0
3 years ago
What is (f + g)(x)?<br> f(x) = -2x^2 <br> g(x) = -2x^2 + 9x
andreyandreev [35.5K]

Answer:

-4x^2+9x

Step-by-step explanation:

Adding boh gives

(f+g)(x)=-2x^2+(-2x^2+9x)

=-2x^2-2x^2+9x

=-4x^2+9x

4 0
3 years ago
Explain the difference between solving an equation with one radical and solving an equation with more than one radical.
Alex_Xolod [135]

Answer:

A radical equation is an equation in which a variable is under a radical. To solve a radical equation: Isolate the radical expression involving the variable. If more than one radical expression involves the variable, then isolate one of them.

Step-by-step explanation:

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8 0
3 years ago
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If you apply the changes below to the absolute value parent function, f(x) = |x|, what is the equation of the new function?Shift
Serjik [45]

Answer: C

<u>Step-by-step explanation:</u>

The general form of the equation is: g(x) = a|x - h| + k  ;

  • "a" represents the vertical stretch <em>(or shrink)</em>
  • "h" represents the x-coordinate of the vertex (left and right)
  • "k" represents the y-coordinate of the vertex (up and down)

4 units left means h = 4

2 units up means k = 2

--> g(x) = |x - 4| + 2

8 0
3 years ago
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What is 1/40 turned into a fraction
fenix001 [56]
1/40 is a fraction... did u make a typo?
7 0
3 years ago
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