The standard equation of the circumference is given by:
(x ─ a) ^ 2 + (and ─ b) ^ 2 = r ^ 2
Where,
The ordered pair (a, b) represents the center of the circle.
The radius of the circumference is r.
In this case to find the radius of the circumference we must find the distance between the points (1, -6) and (7, -2).
We have then:
r = root ((x2-x1) ^ 2 + (y2-y1) ^ 2)
r = root ((7-1) ^ 2 + (-2 - (- 6)) ^ 2)
r = 2 * root (13)
The equation of the circumference will be:
(x ─ 7) ^ 2 + (y + 2) ^ 2 = (2 * root (13)) ^ 2
(x ─ 7) ^ 2 + (y + 2) ^ 2 = 52
Answer:
(x ─ 7) ^ 2 + (y + 2) ^ 2 = 52
Q1: h=25/(b+r)
Q2: r=(25-bh)/h
Answer:X=3
y= -4
Step-by-step explanation:
If we're solving for x or y, then the intercept we're not solving for is equal to zero. Solving for y means x=0, solving for x means y=0.
so solving for x, 4x=12--> x=3, since y=0 in this scenario.
Solving for y, x=0, so -3y=12--> y=(-4)
Answer:
8( 3x+2y) ( 9x^2 -6xy +4y^2)
Step-by-step explanation:
216x^3 + 64y^3
Factor out the greatest common factor of 8
8( 27x^3 +8y^3)
Rewriting
8 ( (3x)^3 + (2y)^2))
Recognizing this as the difference of cubes)
a^3 + b^3 = (a+b) (a^2-ab+b^2)
8 ( (3x)^3 + (2y)^2)) = 8( 3x+2y) ( 9x^2 -(3x)(2y) +4y^2)
=8( 3x+2y) ( 9x^2 -6xy +4y^2)
Answer:
See Below
Step-by-step explanation:
3 out of 5 of the 60 total blocks are red, that means every 3 of 5 random we take would be RED.
That is 3/5ths of 60 are red. We multiply and figure out.
![\frac{3}{5}*60=36](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7D%2A60%3D36)
So we can say there are 36 red blocks from the total 60 Blocks.
Briana needs to make a design that uses 32 RED BLOCKS. <em>Are there enough??</em>
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<em>Yes of course, because 36 > 32</em>
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<em>So, it is reasonable for Briana to think there are enough blocks to make her design.</em>