Answer:
s=6 years
m=48 years
Step-by-step explanation:
Let
Mother's age=m
Son's age=s
m=8*s
m=8s (1)
m+6=9/2(s+6)
m+6=9/2s+27 (2)
Substitute (1) into (2)
m+6=9/2(s)+27
8s+6=9/2s+27
8s+6-9/2s-27=0
8s-9/2s-21=0
(16-9/2)s-21=0
7/2s=21
s=21÷7/2
=21×2/7
=42/7
s=6
Present age of the son=6
m=8s
=8(6)
m=48
Present age of the mother=48
The answer would be 15/25
3/5 times 5/5=15/25
15/25 divided by 5/5=3/5
Answer:
a) is A b) is D c) is D d) is 2 e) is At lunch time, Benjamin often borrows money from his friends to buy snacks in the school cafeteria. Benjamin borrowed $0.75 from his friend Clyde four days last week to buy ice cream bars. How much does he owe Clyde.
( On question " e) " simply just change the five to a four making him borrow 75 cents 4 times. )
Step-by-step explanation:
SUP THANKS FOR THE POINTS
The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).
<h3>What is a circle?</h3>
It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.
Prove algebraically that the straight line with equation x = 2y + 5 is a tangent to the circle with equation x² + y² = 5.
x = 2y + 5 ...1
x² + y² = 5 ...2
If the intersection of the point of the circle and line is one. Then the line is tangent to the circle.
Then from equations 1 and 2, we have
(2y + 5)² + y² = 5
4y² + 25 + 20y + y² - 5 = 0
5y² + 20y + 20 = 0
5y² + 10y + 10y + 20 = 0
5y (y + 2) + 10(y + 2) = 0
(5y + 10)(y + 2) = 0
y = -2, -2
Then the value of y is unique then the value of x will be unique.
The value of x will be
x = 2(-2) + 5
x = -4 + 5
x = 1
The intersection point is only one. Then the equation of the line is tangent to the circle at point (1, -2).
More about the circle link is given below.
brainly.com/question/11833983
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