Answer:
<em>Choice B. 16 feet.</em>
<em>The height of the tree is 16 ft</em>
Step-by-step explanation:
<u>Similar Triangles</u>
Similar triangles have their corresponding side lengths proportional by a fixed scale factor.
We are given the drawings of a tree and a wall and it's assumed both triangles are similar. We need to find the scale factor and find the height of the tree.
Comparing the corresponding distances from the viewer to the base of the tree and the base of the wall, we can calculate the scale factor as 24/6=4.
Applying the same factor to the height of the model, we get the height of the tree is 4*4 = 16 ft.
Choice B. 16 feet
The height of the tree is 16 ft
Answer:
(5, - 18)
Step-by-step explanation:
IN MIDPOINT, WE SUM BOTH X VALUES AND Y VALUES AND DIVIDE BY TWO.
(x+7)/2=6. (y+20)/2=1
X+7=12. Y+20=2
X=12-7. Y=2-20
X=5. Y=-18
B=(5, - 18)
Just subisute values that will work
one easy way is to make one sides equal to only one of the placeholders, like y, and then lug in values in for x exg
x+2y=3
subtract x from both sides
2y=3-x
divideb bith sides by 2
y=-1/2x+3
subsitute valudes for x and get values for y
if x=2 then
y=-1/2(2)+3
y==-1+3
y=2
when x=2, y=2
when y=0 then y=3
Answer:
E. 6
Step-by-step explanation:
Answer:
2 a
Step-by-step explanation:
Possible derivation:
d/dx(2 a x + 2 a y)
Differentiate the sum term by term and factor out constants:
= 2 a (d/dx(x)) + d/dx(2 a y)
The derivative of x is 1:
= d/dx(2 a y) + 1 2 a
The derivative of 2 a y is zero:
= 2 a + 0
Simplify the expression:
Answer: 2 a
