Answer:
B= 
Step-by-step explanation:
If you noticed, A=
BH is the formula for finding the area for a triangle. Your goal is to get B by it's self. Your first step will be to clear of the fraction first, so you will multiply both sides by 2. 2(A)=2(
BH). On the left, you have 2×A= On the right side, you have 2(
BH), but since you have a number in the equation, you will only use 2×
. To solve 2×
, you will cnacel out both 2's and you have 1. 1×BH will still equal BH, so you are now left will B×H.
(Your new equation looks like this by the way). 2A=BH
Since you need to get B by its self, the way to clear the H away from the B is by dividing. You will now divide the B and H aswell as 2A and H. (It will look like this)
. (Again when you have the same number or letter, you cross it out. When you divide, you won't change anything on the left side, and all you have to do on the right id to cross out the H next to the B and cross out the H on the bottom of the equation). You should be left with
= B. Now you can turn it around for your final answer. B=
.
Please let me know if i helped, how I did, and if you have any questions.
Answer:
17.5
Step-by-step explanation:
180 = 40+ 8x
140 = 8x
17.5 = x
Answer:
Second option: On a coordinate plane, rectangle A'B'C'D' prime has points
(See the graph attached)
Step-by-step explanation:
For this exercise it is importnat to know that a Dilation is defined as a transformation in which the Image (The figure obtained after the transformation) has the same shape as the Pre-Image (which is the original figure before the transformation), but they have different sizes.
In this case, you know that the vertices of the rectangle ABCD ( The Pre-Image) are the following:

Therefore, to find the vertices of the rectangle A'B'C'D' (The Image) that results of dilating the rectangle ABCD by a factor of 4 about the origin, you need to multiply the coordinates of each original vertex by 4. Then, you get:

Finally, knowing those points, you can identify that the graph that shows the result of that Dilation, is the one attached.
Answer:
Distance to the xy-plane = |z|
Distance to the yz-plane = |x|
Distance to the xz-plane = |y|
Step-by-step explanation:
The distance from P(x,y,z) to the xy-plane is by definition the magnitude of the vector that goes from the perpendicular projection of P over the xy-plane to the point P, which is exactly the magnitude of the vector (0,0,z) = |z| the absolute value of z
Similarly, the distance from P to the yz-plane is |x| and the distance from P to the xz-plane is |y|
Distance to the xy-plane = |z|
Distance to the yz-plane = |x|
Distance to the xz-plane = |y|
Answer:
f=(g-2m)/3
Step-by-step explanation:
g-2m=3f
f=(g-2m)/3