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Answer:
Step-by-step explanation:
<u>Factored form of a parabola</u>
where:
- p and q are the x-intercepts.
- a is some constant.
Given x-intercepts:
Therefore:
To find a, substitute the given point (4, 8) into the equation and solve for a:
Therefore, the equation of the parabola in factored form is:
Expand so that the equation is in standard form:
Answer:
Area of shaded part ABCEF = 66 sq.cm
Step-by-step explanation:
AB = 8cm
CD = 8cm
Let DE = x cm
CE = 3x cm
CD = CE + DE = 8cm
x + 3x = 8
4x = 8
x = 8/4 = 2 cm
DE = 2cm
CE = 3 * 2 = 6 cm
Area of triangle ADE = 1/2 * base * height
= 1/2 * DE * AD
= 1/2 * 2 * 11 = 11 sq. cm
Area of triangle AEF = Area of triangle ADE = 11 sq. cm
Area of Rectangle ABCD = l * b = 8 * 11 = 88 sq.cm
Area of shaded part ABCEF = Area of Rectangle ABCD - (Area of triangle AEF + Area of triangle ADE)
= 88 - ( 11 + 11 ) = 88 -22 = 66 sq.cm
Answer: 2000
Step-by-step explanation:
At a football game, 65% of people that will attend are supporting the home team, while 35% are supporting the visiting team. 1300 people that attended supported the home team.
To get the total number of people that attended the game, we have to find the number of away supporters as well.
Let the number of people that attended the game be y.
Therefore 65% of y = 1300
65/100 × y = 1300
0.65 × y = 1300
0.65y = 1300
Divide both side by 0.65
0.65y/0.65 = 1300/0.65
y = 2000
The total number of people attending the game is 2000.
Cheryl can travel 133.92 miles using 6.2 gallons of gas
