So dad is represented by x
son is represented by y
so x is (x=) 7 times his son (7y)
our first sentence is x=7y
10 years later (x+10, y+10) he will be 3 times as old as his son (x+10=3(y+10))
or 10+x=3(y+10)
so our sentences are
x=7y
and
x+10=3(y+10)
first we subsitute x=7y for x in the second equation
(7y)+10=3(y+10)
7y+10=3(y+10)
we distribute
7y+10=3y+30
subtract 3y from both sides
4y+10=30
subtract 10 from both sides
4y=20
divide both sides by 4
y=5
the son is currently 5 years old
x=7y
subsitute y=5 for y in equation
x=7(5)
x=35
the dad is currently 35 years old
in 10 years
dad is 45 and son is 15
dad=35
son=5
First off, let's convert the mixed fraction to "improper", keeping in mind that, there are 2 cups in 1 pint.
Answer:
Equation of parabola: 8*(y - 2) = (x - 3)^2
or
y = (1/8)*(x - 3)^2 + 2
Step-by-step explanation:
focus at (3,4) and its directrix y = 0.
Focus equation: (h, k + c) = (3, 4)
Directrix equation y = k - c = 0
so h = 3, k + c = 4, k - c = 0
Solve the system : k + c = 4 and k - c = 0
add the equations together: k + c + k - c = 4 + 0
2k = 4
k = 2
so k + c = 4, 2 + c = 4, c = 2
4c (y - k) = (x - h)^2
4*2 *(y - 2) = (x - 3)^2
8*(y - 2) = (x - 3)^2
Answer:
The Area of the bicycle wheel=380.182 square inch
Step-by-step explanation:
The formula for calculating the area of a wheel is given by;
A=(πd²)/4
A=Area of the wheel to be calculated
Where π (pie)=3.142,
The wheel size is usually denoted by its diameter (d)
d=diameter of the wheel=22 inches
with the values of π and d given, we can plug them in the formula for calculating Area to determine the area of the bicycle wheel
Substituting the values for π and d in the formula;
A=(πd²)/4=(3.142×22²)/4=380.182 in²
The Area of the bicycle wheel=380.182 in²
The answer is the third option from the top
