12 boys 3 boys
------------- reduces to ------------
16 girls 4 girls
We want the simplified ratio of girls to students. There are 12+16, or 28, students to start with. We must reduce 16/28, which is the ratio of girls to students before simplification. This reduces to 4/7 (4 to 7).
What are the sets of points?
Answer:
A = 169π/4
Step-by-step explanation:
From these two given points we find the length of the diameter of this circle, using the Pythagorean Theorem:
d^2 = (8 - 3)^2 + (13 - 1)^2, or
d^2 = 25 + 144 = 169
Thus, the diameter, d, of this circle is √169, or 13.
The radius is thus 13/2 units.
The area formula is A = πr^2. Here the area is
A = π(169/4), or A = 169π/4
<span>y=1/5x+5 with the point (-6, 0)
The line perpendicular to this line will have a slope that's the negative reciprocal of this one. So if the slope here is 1/5 (based on y=mx+b, where m is the slope), then the perpendicular slope would be -5/1.
So now that you have the point and the slope, use the point-slope formula.
y - y</span>₁ = m(x - x₁)
m = -5
(x₁, y₁) = (-6, 0)
y - 0 = -5(x + 6)
y = -5x - 30
y = -5x - 30 is the line perpendicular to y=1/5x+5.