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Kryger [21]
3 years ago
14

Find the equation of the line passing through (4,3) and parallel to the line whose equation is y=2x-6

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
5 0
Y=2x-6 (4, 3)
(X, Y)
3=2(4)+b
3=8+b
-5=b

Y=2x-5
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For the figure shown on the right, find the value of the variable and the measures of the angles. PLZ HELP
pychu [463]
P=69 degrees
Q=71 degrees
R=40 degrees

Explanation

All triangles equal up to 180 degrees.
First add all numbers without x.
Then add all xs.

5x+20=180
Subtract 20 from 180

5x=160
Divide 160 by 5

x=40

8 0
3 years ago
Factor the polynomial:<br> ab −3b+b^2−3a
Pavlova-9 [17]

ab(b-3)


ab-3b+b^2-3a

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8 0
3 years ago
Find an equation of the sphere that passes through the origin and whose center is (-2, 2, 3). Be sure that your formula is monic
Andrei [34K]

Answer:

\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}

Step-by-step explanation:

Given the center of sphere is: (-2, 2, 3)

Passes through the origin i.e. (0, 0, 0)

To find:

The equation of the sphere ?

Solution:

First of all, let us have a look at the equation of a sphere:

(x-a)^2+(y-b)^2+(z-c)^2=r^2

Where (x,y,z) are the points on sphere.

(a, b, c) is the center of the sphere and

r is the radius of the sphere.

Radius of the sphere is nothing but the distance between any point on the sphere and the center.

We are given both the points, so we can use distance formula to find the radius of the given sphere:

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2+(z_2-z_1)^2}

Here,

x_1 =0 \\y_1 =0 \\z_1 =0 \\x_2 =-2 \\y_2  =2 \\z_2 =3

So, Radius is:

r = \sqrt{(-2-0)^2+(2-0)^2+(3-0)^2}\\\Rightarrow r = \sqrt{4+4+9} = \sqrt{17}

Therefore the equation of the sphere is:

(x-(-2))^2+(y-2)^2+(z-2)^2=(\sqrt{17})^2\\\bold{(x+2))^2+(y-2)^2+(z-2)^2=17}

4 0
3 years ago
Surface area... help me
alexandr402 [8]

Answer: Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Step-by-step explanation:

Hope this is what you were looking for

6 0
2 years ago
What is the volume of the cylinder below?
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