to calculate the slope m , use the ' gradient formula '
m = 
with (
,
) = (0, - 1 ) and (
,
) = (1, 5 )
m = 
= 6
0
Answer:
33600 m²
Step-by-step explanation:
The top and bottom horizontal sides are parallel, so this is a trapezoid with bases DC and AB. The height is BC.
area of trapezoid = (a + b)h/2
where a and b are the lengths of the bases, and h is the height.
We need to find the height, BC.
Drop a perpendicular from point A to segment DC. Call the point of intersection E. E is a point on segment DC.
DE + EC = DC
EC = AB = 360 m
DC = 600 m
DE + 360 m = 600 m
DE = 240 m
Use right triangle ADE to find AE. Then BC = AE.
DE² + AE² = AD²
DE² + 240² = 250²
DE² = 62500 - 57600
DE² = 4900
DE = √4900
DE = 70
BC = 70 = h
area = (a + b)h/2
area = (600 m + 360 m)(70 m)/2
area = 33600 m²
Answer: -7
Step-by-step explanation:
-3x - 5 = 16 (add 5 to 16)
-3x = 21 (divide by -3)
x = -7
Answer:
There are 0.005 hundreds in 5/10.
Step-by-step explanation:
Claire drew model of 5/10
We want to know how many hundreds are in 5/10.
Let us use an obvious example.
There are three 2's in 6 right?
Suppose we didn't know this, and we are told to find how many 2's are in 6, we get this by representing this in an algebraic expression as:
There are x 2's in 6. This can be written as
2x = 6
Solving for x, by dividing both sides by 2, we have the number of 2's that are in 6.
x = 6/2 = 3.
Now, to our work
We want to find how many hundreds are in 5/10. We solve the equation
100x = 5/10
x = 5/1000 = 0.005
There are 0.005 hundreds in 5/10.
