<span>the equation -2x² + 5x -3=0, we notice that the sum of the coefficient equals 0, -2+5-3=0, if such a case happens, the solution of the previous equation will be, x=1 (always) and x= c/a, a=-2, and c=-3, so x=-3/-2, finally, the answer is: the 2 in the denominator should be -2</span>
Answer:
(b) 1:9
(c) 1:8
Step-by-step explanation:
(b) x*y : kx*ky, so 1:k² with k=3 is 1:9
(c) Assuming the rectangles get a z dimension, the volumes would have a ratio of xyz : xkykzk = xyz : xyzk³ = 1 : k³. With k=2 that is 1:8. But the z was never introduced so this is a bit inconclusive.
Answer:
Step-by-step explanation:
Given
Represent the volume of the cylinder with V1 and the volume of the sphere with V2
So, from the first statement: we have:
and
To solve for 
, we simply substitute 
for 
in
Hence, the volume of the sphere is 
I think there are 3 integers!
Hope this Helps!!
Answer:
U = 67.6 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos U = adj side / hypotenuse
cos U = sqrt(10)/ sqrt(69)
cos U = sqrt(10/69)
Taking the inverse cos of each side
cos ^-1( cos U) = cos ^-1(sqrt(10/69))
U = 67.62335
To the nearest tenth
U = 67.6 degrees
