Answer:
The volume of the sphere is eight times the volume of hemisphere
Step-by-step explanation:
we know that
If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube
Let
z-----> the scale factor
x-----> volume of the hemisphere
y-----> volume of the sphere
in this problem we have
substitute
that means------> The volume of the sphere is eight times the volume of hemisphere
S<span>tep-1 : Multiply the coefficient of the first term by the constant </span><span> <span> 3</span> • 4 = 12</span>
<span>Step-2 : Find two factors of </span> 12 <span> whose sum equals the coefficient of the middle term, which is </span><span> 13 </span><span>.
</span><span><span>
-12 + -1 = -13</span><span>
-6 + -2 = -8</span><span>
-4 + -3 = -7</span><span>
-3 + -4 = -7</span><span>
-2 + -6 = -8</span><span>
-1 + -12 = -13</span><span>
1 + 12 = 13 </span></span>
Answer:
D. p + q = 7
Step-by-step explanation:
The slope of AB is ...
mAB = (y2 -y1)/(x2 -x1) = (1 -4)/(6 -p) = -3/(6 -p)
The slope of BC is ...
mBC = (q -1)/(9 -6) = (q -1)/3
We want the product of these slopes to be -1:
mAB·mBC = -1 = (-3/(6 -p))·((q -1)/3)
-(q-1)/(6 -p) = -1 . . . . cancel factors of 3
q -1 = 6 -p . . . . . multiply by -(6 -p)
q + p = 7 . . . . . matches choice D
Unlike terms displays terms which are not the same. x+2y would be the answer.
