Solve |x + 6| - 7 = 8 please help

What is 2,605 rounded to the nearest hundred

AveGali [126]

2,600 is the answer to your question

7 0

3 years ago

What is the equation for the translation of x2 + y2 = 16 seven units to the right and five units up?

asambeis [7]

Answer:

(x − 7)2 + (y − 5)2 = 16

Step-by-step explanation:

The given circle has equation

$\sf \: x^2+y^2=16x$

The equation of a circle with center (h,k) and radius r units is

$\sf(x-h)^2+(y-k)^2=r^2(x−h)$

$\sf(x-7)^2+(y-5)^2=4^2(x−7)$

$\sf(x-7)^2+(y-5)^2=16(x−7)$

This is the equation that has its center at the origin with radius 4 units.

When this circle is translated seven units to the right and five units up, then the center of the circle will now be at (7,5).

6 0

1 year ago

what is the equation of a line in slope intercept form that is perpendicular to y=2x+2 and passes through the point (8,-4)

miv72 [106K]

Answer:

The equation of the line that is perpendicular to y = 2x + 2 is

y = -1/2x

Step-by-step explanation:

The original equation is y = 2x + 2; it's slope is 2

Any line perpendicular to this equation would have to have a slope that is the negative reciprocal of the original slope.

Example:

y = 2x + 2 so,

the perpendicular line's slope must be -1/2

Write a new equation with the new slope:

y = -1/2x + b

We know that this line passes through (8, -4)

Plug these coordinates in the equation to find b, the y-intercept

-4 = -1/2 (8) + b

-4 = -4 + b

0 = b

b = 0

We do not have to write y = -1/2x + 0

So, our final answer is "y = -1/2x is perpendicular to y = 2x+2"

7 0

2 years ago

Simplify the following expression.

zimovet [89]

Answer:

B. 51

Step-by-step explanation:

first do inside the parenthesis

83 - 4 * (6-4)^3 = 83 - 4 * (2)^3

now multiply 4 and the third power of 2 (the third power of 2 is 2x2x2=8)

83 - 4 * (2)^3 = 83 - 32 subtract and the answer is 51

7 0

3 years ago

17. Which of the following equations would graph a line parallel to 3y = x + 5? (

Naddik [55]

The equation 3y = x + 1 would graph a line parallel to 3y = x + 5 ⇒ 1st

Step-by-step explanation:

Parallel lines have same slopes and different y-intercepts

To find which equation would graph a line parallel to 3y = x + 5

1. Put the equation in the form of y = mx + c

2. m is the slope of the line and c is the y-intercept

3. Look for the equation which has the same values of m and different

values of c

∵ 3y = x + 5

- Divide each term of the equation by 3 to put the equation in the

form of y = mx + c

∴ y = $\frac{1}{3}$ x + $\frac{5}{3}$

∴ m = $\frac{1}{3}$

∴ c = $\frac{5}{3}$

The first answer:

∵ 3y = x + 1

- Divide each term of the equation by 3

∴ y = $\frac{1}{3}$ x + $\frac{1}{3}$

∴ m = $\frac{1}{3}$

∴ c = $\frac{1}{3}$

∵ The two equations have same slope m = $\frac{1}{3}$

∵ The two equations have different y-intercepts c = $\frac{5}{3}$

and c = $\frac{1}{3}$

∴ 3y = x + 5 and 3y = x + 1 represent two parallel lines

The equation 3y = x + 1 would graph a line parallel to 3y = x + 5

Learn more:

You can learn more about slope of a line in brainly.com/question/12954015

#LearnwithBrainly

8 0

3 years ago