When evaluating proportions, we write the ratios in fractional form and then we

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Answer 1
Answer: after you write the ratios in the fractional form you cross multiply.

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-4(y - 2) = 12

Answer ASAP plz

Answers

Answer: The answer is -1

Step-by-step explanation:

-4(y - 2) = 12

-4y + 8 = 12

      - 8   - 8

_____________

  -4y  =  4

  ________

  -4        -4

      y = -1

The area of a sector of a circle with a radius of 4 centimeters is 2.512 square centimeters. The estimated value of ╥ is 3.14. The measure of the angle defining the sector is

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The equation for the area of a sector of a circle is expressed as the product of pi, square of the radius and the ratio of the angle of the sector and 360 degrees.

Area = πr^2 (α / 360°)

We obtain the angle by manipulating the equation.

α = (Area x 360°) / πr^2 
α = (2.512 cm^2 x 360°) / (π x 4^2)
α =35.98°

5/8 - 3/4 (8 - 1/3) + 1

Answers

Answer:

use a algebra caculator

Step-by-step explanation:

Answer:

-4.125

Step-by-step explanation:

5/8 - 3/4  (8-1/2 ) + 1 = - 33/8 = -4 1/8

The vertex form of the equation of a parabola is x = (y - 4)2 + 27. What is the standard form of the equation?

A. x = y2 + 8y + 27
B. x = 4y2 - 8y + 43
C. x = y2 - 8y + 43
D. x = y2 + y + 15

Answers

Answer:

Option C. x = y² - 8y + 43

Step-by-step explanation:

The vertex form of the equation of a parabola is x = (y - 4)² + 27

We have to find the standard form of the equation which is in the form of x = ay² + by + c

To get the standard form of the equation we will simplify the vertex form of the equation.

x = (y - 4)² + 27

x = y² + 16 - 8y + 27

x = y² - 8y + 43

This matches with option C. x = y² - 8y + 43

Since the vertex formula of an equation is x =a(x-h)^2 + k and the standard form of an equation is y = ax^2 + bx + c, the answer to the math question presented above would be letter c. x = y^2 -8y + 43. I arrived to this answer by solving (y-4)^2 and adding the equation to 27.

What’s the slope? And can you please explain I don’t get it

Answers

As we can see, the line crosses the x-axis at (-2, 0). If we climb three units up from -2 and then go one unit to the right, we arrive at the next point on the line.

Since we climbed three points and went to the right one point, our slope = 3/1. But, we can reduce that.

Slope = 3/1 = 3

Answer:

The slope is 3.

Step-by-step explanation:

The way to find the slope is to find how many blocks/number it went up and to the side. The number of blocks it went up on the y-axis, in this case, is 3 and it went along the x-axis once. In order to actually find the slope, you need to put the y over the x. So, 3/1 is equal to three, so the slope of this line is 3

Question olve the following quadratic by factoring. a^(2)-4a-12=0

Answers

Answer:

a = - 2 , a = 6

Step-by-step explanation:

a² - 4a - 12 = 0

consider the factors of the constant term (- 12) which sum to give the coefficient of the a- term (- 4)

the factors are + 2 and - 6, since

+ 2 × - 6 = - 12 and + 2 - 6 = - 4

use these factors to split the a- term

a² + 2a - 6a - 12 = 0 ( factor the first/second and third/fourth terms )

a(a + 2) - 6(a + 2) = 0 ← factor out common factor (a + 2) from each term

(a + 2)(a - 6) = 0 ← in factored form

equate each factor to zero and solve for a

a + 2 = 0 ( subtract 2 from each side )

a = - 2

a - 6 = 0 ( add 6 to both sides )

a = 6

solutions are a = - 2 , a = 6