Option c: 
Step-by-step explanation:
The expression is 
Applying the exponent rule, we have,
Multiplying the denominator,
Rewriting this expression,
Cancelling the common terms, we have,
Thus, the expression equivalent to is
The expression used to determine the area of the square is 
, where 
is the side length of the square.
This equation serves as the basis for the definition of area.
y = 10x + 5 is the required equation.
Explanation:
A family of two to go to state fair is $25
A family of six to go to state fair is $65
So the 2 points are (2,25) and (6,65)
Rate of change = (y2-y1)/ (x2-x1)
Plugin the values, we will get,
= (65 - 25)/ (6-2)= 40/4 = 10
Equation can be written as,
(y - y₁) / (y₂ - y₁) = (x-x₁)/(x₂-x₁)
(y-25)/(65-25) = (x-2)/(6-2)
(y-25)/ 40 = (x-2) / 4
4(y-25) = 40(x-2)
4y - 100 = 40x - 80
4y = 40x - 80 + 100
4y = 40x + 20
Dividing the equation by 4, we will get,
y = 10x + 5 is the equation required.
Answer:
44.9%
Step-by-step explanation:
you can find the probability by dividing the total number of people by the number of people who have run a red light:
385/857
simplify into a decimal:
0.449
convert into a percent to get your answer:
44.9%
Answer:
Height = 5 ft
Base = 11 ft
Step-by-step explanation:
The area of a parallelogram is
Base × Height
From the question:
The base of a parallelogram is 6 ft more than the height.
Base = 6ft + h
If the area of the parallelogram is 55 ft^2,
what are the measures of the base and the height?
This is calculated as:
55 ft² =( 6 + h ) × h
55 = 6h + h²
h² + 6h - 55 = 0
h² +5h - 11h - 55 = 0
h(h + 5) - 11(h + 5) = 0
(h + 5)(h - 11) = 0
h - 11 = 0
height = 5ft
Base = 6 + h = 6 + 5
Base = 11ft
