we know that
if two lines are parallel
then
their slopes are equal
Step 1
Find the slope of the line 2x + 5y = 4
2x + 5y = 4------> 5y=4-2x-----> y=(4/5)-(2/5)x------> slope m=(-2/5)
step 2
with m=-2/5 and the point (5, –4) find the equation of the line
y-y1=m*(x-x1)------> y+4=(-2/5)*(x-5)----> y=(-2/5)x+2-4
y=(-2/5)x-2
therefore
the answer is the option D
Answer:
Step-by-step explanation:
The cross section will have the same shape as the base of the pentagonal prism; the dimensions will be proportionally smaller.
Answer:
Less than 1
Step-by-step explanation:
As 0.644 and 0.25 are less than 1, then
where p and q are greater than 1
then
But p.q is greater than 1, so 1/(p.q) is smaller than 1
Answer:

Step-by-step explanation:
We are asked the equation of the graph which passes through the points at (0,5) and (-3,-4).
Now, we know that the equation of a straight line passing through the points (
) and (
) is given by
.
So, in our case (
) ≡ (0,5) and (
) ≡ (-3,-4)
Therefore, the equation of the straight line will be

⇒ 
⇒
(Answer)
Answer:
the tree is 8.8 m tall
I can't draw it but it will be two similar acute triangles. The one that represents the man will have a 2m height and a 5m base. The one that represents the tree will have an 8.8m height and a 22 m base.
Step-by-step explanation:
it's a proportional relationship
5/22=2/height
5(height)=2(22)
5(height)=44
divide both sides by 5
5(height)/5=44/5
height=8.8 m