Answer:
x = 15
y = 12
z = 20
Step-by-step explanation:
For right angle x^2 + z^2 = (9 + 16)^2 => x^2 + z^2 = 625
then z^2 = y^2 + 16^2 => y^2 = z^2 - 256
and x^2 = y^2 + 9^2 => y^2 = x^2 - 81
so z^2 - 256 = x^2 - 81
z^2 = x^2 + 175
replace z^2 = x^2 + 175 into the first equation
x^2 + (x^2 + 175) = 625
2x^2 = 450
x^2 = 225
x = 15
If x = 15 => 15^2 + z^2 = 625 => z^2 = 400 => z = 20
y^2 = z^2 - 256 => y^2 = 400 - 256 = 144
then y = 12
V = (4/3) π (45)^3
V= π (4/3) (91,125)
Your answer with out pi is...
V= (68,343.75) π cm^3
And with pi is...
V = 214,708.22 cm^3
Slope intercept form is y=mx+b because m=slope and b=y-intercept hence "slope intercept form"...
m=deltay/deltax=(0-5)/(-9--6)=-5/-3=5/3 so far we have now:
y=5x/3 +b, using any point, I'll use (-9,0) we can now solve for b or the y-intercept...
0=-9(5)/3 +b
0=-15+b, so b=15 and our line is:
y=5x/3 + 15 or more neatly
y=(5x+45)/3
Answer:
24
Step-by-step explanation:
9514 1404 393
Answer:
(-3, 3)
Step-by-step explanation:
The blanks are trying to lead you through the process of finding the point of interest.
__
The horizontal distance from T to S is <u> 9 </u>. (or -9, if you prefer)
The ratio you're trying to divide the line into is the ratio that goes in this blank:
Multiply the horizontal distance by <u> 2/3 </u>. (9×2/3 = 6)
Move <u> 6 </u> units <u> left </u> from point T.
The vertical distance from T to S is <u> 6 </u>.
Multiply the vertical distance by <u> 2/3 </u>. (6×2/3 = 4)
Move <u> 4 </u> units <u> up </u> from point T.
__
Point T is (3, -1) so 6 left and 4 up is (3, -1) +(-6, 4) = (3-6, -1+4) = (-3, 3). The point that is 2/3 of the way from T to S is (-3, 3).
