Answer:
96 units^2
Step-by-step explanation:
area of a triangle A=bxh/2
substitute b with 8 and h with 24
A=8x24/2
multiply
A=193/2
the divide
A=96
Answer:
30%
Step-by-step explanation:
If Justin has a 20% chance and Cam has a 50% chance that adds up to 70%
But you need to get to 100% so all you do is
70 - 100 = 30
30%
Basically, you have two circles. You are asked to take circle 1 and "move it" so that it is on top of circle 2. This process of moving is called a translation and can be thought of as sliding. You do this by ensuring that the two have the same center. So, starting at (-4,5) how do you have to move to end up at (2,1)?
To do this we need to move right 6 as the x-coordinate goes from -4 to 2. We also need to move down 4 as the y-coordinate goes from 5 to 1. So we add 6 to the x-coordinate and subtract 4 from the y-coordinate. The transformation rule is (x+6, y-4).
Once you do this the circles have the same center. Next you wish to dilate circle 1 so it ends up being the same size at circle 2. That means you stretch it out in such a way that it keeps its shape. Circle 1 has a radius of 2 centimeters and circle 2 has a radius of 6 centimeters. That is 3x bigger. So we dilate by a factor of 3.
Translations and dilations (along with reflections and rotations) belong to a group known as transformations.
Answer:
Step-by-step explanation:
STEPS FOR SOLVING LINEAR EQUATION
3y=4x+1
Swap sides so that all variable terms are on the left hand side.
4x+1=3y
Subtract 1 from both sides.
4x=3y−1
Divide both sides by 4.
4
4x
=
4
3y−1
Dividing by 4 undoes the multiplication by 4.
x=
4
3y−1
