Answer:
A line that passes (2, 0) and (-6, 3) has slope:
S1 = (-6 -2)/(3 - 0) = -4/3
Another line that is perpendicular with above line has slope:
S2 = -1/S1 = -1/(-4/3) = 3/4
=> Option B is correct
Hope this helps
:)
<h3>
Answer: 90 cubic meters</h3>
Each triangle has a base of 10 and height of 3.6
area of triangle = 0.5*base*height = 0.5*10*3.6 = 18 square meters
multiply this with the height of the prism (5 meters) to get 18*5 = 90 cubic meters. I'm using the idea that,
volume of prism = (area of base face)*(height of prism)
The notation "m^3" is shorthand for "cubic meters"
We do not use the other dimensions of 9 m and 7 m.
16 - (-15) = 16 + 15 = 31...difference of 31 degrees
The easiest variable you can solve for first is "z". Knowing that opposite angles of a quadrilateral inscribed in a circle are supplementary, subtract 93 from 180 to get z.
Z should equal 87.
The next variable we can solve for is "x". We know that inscribed angles are half the measure of their intercepting arc, so we know 93 is half of (112 + x). The equation would look like this:
93= (112 + x)/2
Multiply both sides by 2
186 = 112 + x
Subtract 112 from both sides
74 = x
Now we can apply the same method we used to find "x" to find y. Set up an equation like this:
80 = (y + x)/2
Substitute the value of x in
80 = (y + 74)/2
Multiply both sides by 2
160 = y + 74
Subtract 74 from both sides
86 = y
Hope this helps!
Step-by-step explanation:
Collinear points have the same gradient
find the gradient(slope) between AB first
Find the one for BC
Find the gradient between AC now
YOUR LAST STATEMENT NOW WILL BE
POINTS A,B AND C ARE COLLINEAR SINCE THE GRADIENTS BETWEEN THEM IS THE SAME!!!
