Answer:
The son is five years old
Step-by-step explanation:
Let the son's age be x
A man is five as old as his son, 5x
In five years, he would be three times as old as his son
In five years: son would be x+5
Father 5x+5
3(x+5)=5x+5
3x+15=5x+5
Collect like terms
15-5=5x-3x
10=2x
Divide by 2
10/2=2x/2
x=5
The son is five years old
it is going to take 18 miles in 1 hour
A)
The question tells us that
y + z = 180
And
y=3x+20
z=x
So we put them in the first formula:
y + z = 180
(3x + 20) + x = 180
Add and get x to one side:
4x + 20 = 180
4x + 20 - 20 = 180-20
4x = 160
Divide both sides by 4
x = 40
B)
Put x back in to equation to get size of each angle:
Y =3x +20
Y=3(40)+20
Y=120+20
Y=140
Z=x
Z=40
Verify: y+z=180
140+40=180
180=180
The equation of the circle is x² + y² = 25 and the transformation equation of the circle is x² + y² = 100.
<h3>What is the equation of the circle?</h3>
The following parameters are derived from the question:
(x - a)² + (y - b)² = r²
Center (a, b) = (0, 0)
Radius (r) = 5
Then the equation of the circle will be
x² + y² = 5²
x² + y² = 25
Then the transformation of the circle will be
Center (a, b) = (0, 0)
Radius (r) = 10
Then the equation of the circle will be
x² + y² = 10²
x² + y² = 100
More about the equation of circle link is given below.
brainly.com/question/10618691
#SPJ1
2, because ab=ac and they both equal 6 when plugged in
