Answer: Angie = 6, Jemma = 18
<u>Step-by-step explanation:</u>
Let x represent the current age of Angie
Current Age Age 5 years from now
Angie: x x + 5
Jemma: 3x 3x + 5
5 years from now the sum of their ages is 34
(x + 5) + (3x + 5) = 34
4x + 10 = 34
4x = 24
x = 6
Angle's current age is x = 6
Jemma's current age is 3x = 3(6) = 18
Answer:
y − 3 = 2(x − 1)
Step-by-step explanation:
The point-slope form of the equation of a line with slope m through point (h, k) is ...
y -k = m(x -h)
You have m=2, h=1, k=3, so the equation is ...
y -3 = 2(x -1)
Answer:
Correct option: 2 -> sqrt(37)
Step-by-step explanation:
To solve this problem, we just need to use the law of cosines. This law is used to find the third side of a triangle, when we have the two other sides and the angle between them.
The equation of the law of cosines is:
c^2 = a^2 + b^2 - 2 * a * b * cos(C)
So, we have that:
c^2 = 7^2 + 3^2 - 2 * 7 * 3 * (1/2)
c^2 = 49 + 9 - 21
c^2 = 37
c = sqrt(37)
Correct option: 2
