Please help factor 1/4x^2- 25/9

Answers

Answer 1
Answer:

( (1)/(4) {x}^(2) - (25)/(9) ) \n ( (1)/(2) x + (5)/(3) )( (1)/(2)x - (5)/(3) )

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A circle has a radius of 11 cm. What is the approximate area of the circle? Use 3.14 to approximate pi. Write the answer to the nearest hundredth.

Answers

area of a circle is pi x r x r 
then you substitute the numbers in
therefore you would get 3.14 x 11 x 11 = 379.994
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1/2 x n = 1/3 what does n =

Answers

you do 1/3 / 1/2
You do Keep, Change, Flip
so...
1/3 /1/2= 1/2*3/1= 3/2 and that is 1 1/2
n=1 1/2

The focus of a parabola is (3,-7) and the directrix is y = -4.What is an equation of the parabola?

Answers

Answer:

  (a)  (x -3)^2 = -6(y +5.5)

Step-by-step explanation:

The equation of a parabola can be written as ...

  (x -h)^2 = 4p(y -k)

where (h, k) is the vertex, and p is the distance from the focus to the vertex.

The vertex is half-way between the focus and directrix, so is ...

  (h, k) = (1/2)((3, -7) +(3, -4)) = (3, -5.5)

The focus is at y=-7, and the vertex is at y=-5.5, so the distance between them is ...

  -7 -(-5.5) = -1.5

Then the equation for the parabola is ...

  (x -3)^2 = 4(-1.5)(y -(-5.5))

  (x -3)^2 = -6(y +5.5) . . . . matches the first choice

5.567 round hundredths

Answers

5.57 because 5 is the tenths 6 is hundredths 7 is thousandths
556.7, I am really good at decimals and fractions, just mainly math, science, literature, and some Economics

Which of the following is a solution to the quadratic equation below? x^2+x-56=0

a.2
b.-55
c.-8
d.28

Answers

There are two solutions to that quadratic quation: -8 and 7, but as there is only one in answers, you need to pick C.

Which expressions are equivalent to the expression −6x + 8? Select all that apply. 1. −2(3x + 4) 2. 2(−3x + 4) 3. 5(x + 1) − 11x + 3 4. x + 2 − 7x + 6 5. 8 − 6x

Answers

1)
-2(3x+4)=-6x-8≠-6x+8

2)
2(-3x+4)=-6x+8

3)
5(x+1)-11x+3=5x+5-11x+3=-6x+8

4)
x+2-7x+6=-6x+8

5)
8-6x=-6x+8

Answer: The expressions 2,3,4 and 5 are equivalents.