Answer:The blue line is the tangent line that passes through the point (0.75, 0.25). The point on the tangent line is (3, 4). The gradient of the curve is approximately 0.6. Note: Parallel lines have the same gradient.
Step-by-step explanation:
Answer:
126 in^2
Step-by-step explanation:
The area of a trapezoid is found by
A = 1/2 (b1+b2) h
A = 1/2 ( 12+16)*9
A = 1/2 (28) *9
= 126
Answer:
34 mph.
Step-by-step explanation:
Let x be speed of Charlene, then speed of Paul will be x+16 as we are given that Paul is driving 16 mph faster than Charlene.
Let y be distance covered by Charlene, then distance covered by Paul will be 420-y.
Now we will use formula
. Upon using our given information we will get two equation and two unknowns as:


Upon substituting
in 1st equation we will get,

Upon multiplying both sides of our equation by 5 we will get,






Upon substituting y=170 in 2nd equation we will get,


Therefore, Charlene's speed is 34 miles per hour.
Answer:
x=y
Step-by-step explanation:
let x be the number of tennis balls and y the number of rackets.
-We divide the number of balls by the number of rackets to find out their ratio of proportionality:

-Hence, for each one ball there is one racket, so;

-This relationship is linear in nature, a direct variation, and can be graphed as attached below: