Answer:
the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)
= -5 = -2x + 15
Step-by-step explanation:
Write an equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5).
Using the slope intercept equation,
y = mx +c
m = slope = 1/2
For two lines to be perpendicular, the product of their slopes is -1
Let the slope of the other line be m2
m1×m2 =-1
1/2×m2 = -1
m2 = -1/(1/2) = -2
Slope of line = -2
For points (10, -5), x = 10, y =-5
-5 = -2× 10 +c
-5 = -20+ c
c = -5+20= 15
the equation of the line that is perpendicular to y = 1/2x + 3 and passes through the point (10, -5)
-5 = -2x + 15
Answer:
Yes, it is
Step-by-step explanation:
Given
The attached image
Required
Is AB a tangent to the circle
From the attached circle, we can see that AP is the radius of the circle P.
And by definition, a tangent touches the circle at only one point.
Since AB touches the circle at only point A, then AB is a tangent.
34,600.
7 is higher than 4, so it rounds up.
Answer:
646.04 cm³
Step-by-step explanation:
<u>Cube volume formula:</u>
V=l*w*h
V=8*8*8
V=512
<u>Hemisphere volume formula:</u>
V=(4/3πr³)1/2
V=(4/3π4³)1/2
V=128/3
<u>Add both together</u>
128/3 + 512 ≈ 646.04cm³
Answer:

Step-by-step explanation:
We can write the equation of a line in 3 different forms including slope intercept, point-slope, and standard depending on the information we have. We have a point (8,1) and a slope from the equation y=-23x+5. We will chose point-slope since we have a point and slope.
Point slope:
in our new equation because it us perpendicular to it. This means we will need to change it into its negative reciprocal which is
.
We will substitute
and
.
.
This is the equation of the line perpendicular to y=-23x+5 that crosses through (8,1).