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3 years ago

Which of the following correctly completes the square for the equation

Mathematics

1 answer:

rjkz [21]3 years ago

7 0

Answer:

A. (x + 2)^2 = 31.

Step-by-step explanation:

x^2 + 4x = 27

x^2 + 4x - 27 = 0

A. (x + 2)^2 = 31

x^2 + 4x + 4 - 31 = 0

x^2 + 4x - 27 = 0

This option corresponds to the given equation, so it is correct.

B. (x + 2)^2 = 43

x^2 + 4x + 4 - 43 = 0

x^2 + 4x - 39 = 0

This does not correspond to the equation.

C. (x + 4)^2 = 31

x^2 + 8x + 16 - 31 = 0

x^2 + 8x - 15 = 0

This does not correspond to the equation.

D. (x+4)^2 = 43

x^2 + 8x + 16 - 43 = 0

x^2 + 8x - 27 = 0

This does not correspond to the equation.

So, your answer is A. (x + 2)^2 = 31.

Make sure to SUBMIT and check your PREVIOUS answers to make sure they are right! XD Also, hope this helps!

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3 years ago

What is the equation of the line that passes through the point (-2,5) and has a slope of -4?

adoni [48]

Answer:

$\boxed {\boxed {\sf y= -4x -3}}$

Step-by-step explanation:

We are asked to find the equation of a line given a point and the slope. We will use the point-slope formula.

$y-y_1= m(x-x_1)$

In this formula, m is the slope and (x₁, y₁) is the point the line passes through. The slope of this line is -4 and the line passes through (-2,5).

m= -4
x₁= -2
y₁ = 5

Substitute the values into the formula.

$y-5 = -4 (x--2)$

$y-5 = -4 (x+2)$

We are finding the equation of the line, so we should find the slope-intercept form or y=mx+b ( where m is the slope and b is the y-intercept).We must isolate the variable y on one side of the equation.

First, distribute the -4 on the right side of the equation. Multiply each term inside the parentheses by -4.

$y-5=( -4 *x ) + (-4* 2 )$

$y-5 =(-4x)+ (-8)\\y-5= -4x -8$

5 is being subtracted from y. The inverse operation of subtraction is addition, so we will add 5 to both sides of the equation.

$y-5 =-4x -8 + 5$

$y= -4x -3$

The equation of the line is y= -4x -3. The slope of the line is -4 and the y-intercept is -3.

6 0

3 years ago

Which of the following is the last step in problem solving? A. Understand the problem. B. Check your answers and present the sol

almond37 [142]

B - check your answers and present the solution

7 0

3 years ago

Help me pls this is 8th grade math fastest answer gets brainliest show work pls

miskamm [114]

Answer:

1: x ^11

2: y ^12

3: x^ 7

Step-by-step explanation:

In 1 we give the sum

In 2 we give the multiple

In 3 we minus

3 0

3 years ago

Read 2 more answers

Giving brainlist to whoever answers

alexira [117]

Correct answer is B
10/15=.666
This is RW divided by RT
Now you have to use the scale factor. Multiply by 18 to get WV
18 x 0.666 = 12

Good Luck Thnks for brainiest :)

7 0

3 years ago