Answer:
Step-by-step explanation:
<u>Equation of the Circle</u>
A circle can be completely defined knowing its center and radius. The radius is the distance from the center to any point in its edge. Since we know the center of the circle is (-10,-7) and one point in its edge is (4,4), we calculate the distance between those points:
1/8 5/6 3/8
Make sure that in order to compare and rank them from least to greatest, you ned to first see that the denominator is the same.
1/8=3/24 5/6=20/24 3/8=9/24
1/8<3/8<5/6
Therefore, 5/6 is the greatest and also the farthest that Carlos ran.
So, the question is 63 is 30% of what number?
That can translate to the equation
63 = 30% · x or 63 = 0.3x
Divide by 0.3 and you get x = 210.
There are 210 students in band.
Answer:
C
Step-by-step explanation:
The correct answer is C, -1. This is because slope formula is y2-y1/x2-x1. When you put that in you get 3-7/2-(-2) which equals -4/4, or -1.
Answer:
x = log(33)/(3·log(2))
Step-by-step explanation:
The relevant logarithm relation is ...
log(a^b) = b·log(a)
__
Taking the logarithm of both sides of your equation gives ...
2^(3x) = 33
log(2^(3x)) = log(33)
(3x)·log(2) = log(33)
The coefficient of x is 3·log(2). Dividing by that gives the value of x:
x = log(33)/(3·log(2))
x ≈ 1.51851/(3·0.301030) ≈ 1.6814647
