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3 years ago

11

M(-5, 2) and N(5, 2) are the endpoints of the segment MN on the coordinate plane. What is the length of ?

2 answers:

JulijaS [17]3 years ago

7 0

ccccccccccccccccccc

cccccc

VikaD [51]3 years ago

6 0

The line segment is 10 units long

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Please help will give brainliest

Eddi Din [679]

Answer:

-6

Step-by-step explanation:

The equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

The y intercept is the value when x = 0

The y value is -6 when the x value is 0

y = -4x+ (-6)

3 0

2 years ago

Write the equation of the sphere in standard form. x^2 + y^2 + z^2 + 2x − 4y − 6z = 22

madam [21]

The equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Given equation of sphere be $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We are required to express the given equation in the standard form of the equation of sphere.

Equation is basically relationship between two or more variables that are expressed in equal to form. Equation of two variables look like ax+by=c. It may be linear equation,quadratic equation, cubic equation or many more depending on the powers of variables. The standard form of the equation of sphere looks like $x^{2} +y^{2} +z^{2} =r^{2}$ .

The given equation is $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ .

We have to break 22 which is in right side into various parts according to the left side of the equation.

$x^{2} +y^{2} +z^{2} +2x-4y-6z=-1-4-9+36$

$x^{2} +y^{2} +z^{2} +2x-4y-6z+1+4+9=36$

$x^{2} +1+2x+y^{2}+4-4y+z^{2} +9-6z=36$

$x^{2} +(1)^{2} +2*1*x+y^{2} +(2)^{2} -2*2y+z^{2} +(3)^{2} -2*3z=36$

$(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$

Hence the equation $x^{2} +y^{2} +z^{2} +2x-4y-6z=22$ in standard form looks like $(x+1)^{2} +(y-2)^{2} +(z-3)^{2} =(6)^{2}$ .

Learn more about equations at brainly.com/question/2972832

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7 0

1 year ago

Solve the formula C = πd for d

REY [17]

Answer:

$d = \frac{C}{\pi}$

Step-by-step explanation:

$C= \pi d\\$

Isolate d ; Divide both sides of the equation by $\pi$

$\frac{C}{\pi} = \frac{\pi d}{\pi }$

Simplify

$\frac{C}{\pi} = d\\\\d = \frac{C}{\pi}$

Note; Another formula for d(diameter) =

$2\times radius$

3 0

3 years ago

The height of Jake's window is 5x - 3 inches and the width is 3x + 2 inches. What is the perimeter of Jake's window ?

Reika [66]

The perimeter of Jake window is 16x - 2 inches

<h3><u>Solution:</u></h3>

Given that height of Jake window is 5x - 3 inches

Also given that width is 3x + 2 inches

To find: perimeter of Jake window

We know that, in general a window is of rectangular shape

<em><u>The perimeter of rectangle is given as:</u></em>

Perimeter of rectangle = 2(length + width)

Substituting the values we get,

Perimeter of rectangle = 2(5x - 3 + 3x + 2)

Perimeter of rectangle = 2(8x - 1) = 16x - 2

Hence, the perimeter of the window is 16x – 2 inches

4 0

3 years ago

Nicole is back at it again and wants to see, this time, if listening to classical music while taking a test affects test scores.

kenny6666 [7]

Answer:

c,Describe and design a completely randomized design for Nicole's experiment

3 0

2 years ago