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boyakko [2]
3 years ago
14

21) What is the slope of the perpendicular lines? y = 5x

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
8 0
The slope of the perpendicular line of y=5x would be -1/5, since slopes are always opposite reciprocals when they are perpendicular to each other.
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Plz answer question three asp plz
zepelin [54]
Which one the first three???
4 0
3 years ago
Find the center and radius of the sphere whose equation is given by x2+y2+z2−2x−4y+8z+17=0x2+y2+z2−2x−4y+8z+17=0.
Vedmedyk [2.9K]
We know that
the equation of a sphere is
(x-h)²+(y-k)²+(z-l)²=r²
where (h,k,l) is the center and r is the radius

we have
x²+y²+z²<span>−2x−4y+8z+17=0
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

(x²+2x)+(y²-4y)+(z²+8z)=-17
<span>Complete the square. Remember to balance the equation by adding the same constants to each side
</span>(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=-17+1+4+16
(x²+2x+1)+(y²-4y+4)+(z²+8z+16)=4

Rewrite as perfect squares

(x+1)²+(y-2²)+(z+4)²=4

(x+1)²+(y-2²)+(z+4)²=2²

the center is the point (-1,2,-4) and the radius is 2 units




4 0
3 years ago
Consider the equation y= -2x -3.
Alona [7]

Part A

The graph is shown below as an attached image.

The diagram shows a straight line that goes through the two points (0,-3) and (1, -5)

I'm using GeoGebra to graph the line.

side note: (0, -3) is the y intercept which is where the graph crosses the y axis.

==================================================

Part B

Answer is choice 2

The graph can be written in the form y = mx+b, so it is linear

In this case, m = -2 is the slope and b = -3 is the y intercept

We can write the slope as m = -2 = -2/1. This tells us that we can move down 2 units and then over to the right 1 units to get from point to point. This process of "down 2, over to the right 1" happens when moving from point A to point B in the diagram below.

7 0
3 years ago
X - x-2/6 = x-7/3 + 2/3
elena-s [515]
X-x-2/6=x-7/3+2/3
-2/6+7/3-2/3=x
x= -2/6+5/3
x= 8/6
x= 4/3
3 0
2 years ago
9Find -18 + (-67). Show your work.
polet [3.4K]

Answer:

-85

Explanation:

Given the mathematical expression:

-18+(-67)

First, we recall the product of signs.

+\times-=-

So, first, we open the bracket:

-18+(-67)=-18-67

We then simplify:

=-85

The result is -85.

3 0
1 year ago
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