Kate is 17 years old, and Victor is 12 years younger. In how many years will Kate be twice as old as Victor?
1 answer:
Answer:
In 7 years
Step-by-step explanation:
Let
n ----> the number of years
x -----> Kate's age
y ----> Victor's age
we know that
we have
Victor's age is 5
substitute the given values
Solve for n
<u><em>Verify</em></u>
In 7 years
Kate's age is 17+7=24
Victor's age is 5+7=12
24=2(12)
so
Kate is twice as old as Victor
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Hehe, these are fun to do. There are two ways to do this kind of problem. You can use the pythagorean theorem or we can use the distance formula.
Distance formula:
Pythagorean Theorem:
Distance formula is better if you're finding distance between two coordinates. The Pythagorean Theorem only really works for independent values. If I had 2 sides of a triangle, and I needed to find the third, I'd use this equation to find it. In this case, we'll use the distance formula.
I'll work the first one out for you:
x1 y1 x2 y2
(3, 2) & (7, 4)
v
v
v
There's your answer!
<em>
</em><em>I spent a lot of time making this answer to help you. Please rate it Brainliest!</em>
Distance formula:
Pythagorean Theorem:
Distance formula is better if you're finding distance between two coordinates. The Pythagorean Theorem only really works for independent values. If I had 2 sides of a triangle, and I needed to find the third, I'd use this equation to find it. In this case, we'll use the distance formula.
I'll work the first one out for you:
x1 y1 x2 y2
(3, 2) & (7, 4)
v
v
v
There's your answer!
<em>
</em><em>I spent a lot of time making this answer to help you. Please rate it Brainliest!</em>
Answer: hello your question is incomplete attached below is the complete question
answer :
a) ( option D )
b) A = 1/2 (6)(3) ( option B )
c) Area of shaded region = 9
Step-by-step explanation:
<u>a) Using integration with respect to x </u>
Area = ( note a = 10 )
= y^2/2 - 4y |⁷₄ + 10y - y^2/2 |¹⁰₇
= 33/2 - 12 + 30 - 51/2 = 9
hence the best integral from the options attached is option D
= [ 10x - x^2 /2 - x^2/2 - 9x ] ³₀
= 30 - 9/2 - 9/2 - 12 = 9
<u>b) Using Geometry </u>
Area = 1/2 * base * height
= 1/2 * 6 * 3
= 9
