6 3/4= 6.75
80 mph * 6.75 hours = 540 miles total
Final answer: 540 miles
First, convert the equation to the standard equation of a parabola.
-1/4(y+4)=(x-3)^2 ---multiply -4 on both sides
y+4=-4(x-3)^2 ---subtract 4 on both sides
y=-4(x-3)^2-4
From the equation, we know that the parabola was moved by 3 to the right, because of (x-3)^2. So the axis of symmetry is x=3. Now look at the number in front of (x-3)^2. It is -4. Since it is negative, the parabola opens downwards.
Answer:
Part 1) 
or 
Part 2) 
or 
Step-by-step explanation:
Write the ratio as a fraction in simplest form
Part 1) 15 girls to 6 boys
we know that
To find out the ratio, divide the number of girls by the number of boys
so
Simplify
Divide by 3 both numerator and denominator
Part 2) 24 plays for 3 teams
we know that
To find out the ratio, divide the number of plays by the number of teams
so
Simplify
Divide by 3 both numerator and denominator
Answer:
Taylor's age = x = 35 years
Marty's age = y = 50 years
Step-by-step explanation:
Let
Taylor's age = x
Marty's age = y
Taylor is 15 years younger than Marty.
x = y - 15
Twice Marty’s age added to three times Taylors age totals 205.
205 = 2y + 3x...... Equation 1
Therefore, we substitute y - 15 for x in
205 = 2y + 3x...... Equation 1
205 = 2y + 3(y - 15)
205 = 2y + 3y - 45
Collect like terms
205 + 45 = 5y
250 = 5y
y = 250/5
y = 50 years
x = y - 15
x = 50 - 15
x = 35 years
Solving for x
Therefore:
Taylor's age = x = 35 years
Marty's age = y = 50 years
The geometry illustrates that the value of DB is 34°
<h3>How to calculate the angles?</h3>
AB = 87°
ED = 37°
BCD will be:
= (360° - 87° - 32°)/2
= 118°
FA will be:
= 118°/2
= 59°
DC = 118/2 = 59°
HB = GA = 17°
DB = 2 × 17° = 34°
EG = GA = 17°
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