Answer:
What do you want solved????????????????????
Step-by-step explanation:
Factor by grouping. Group up the terms into pairs, factor each pair, then factor out the overall GCF.
x^3 + 2x^2 - 16x - 32
(x^3 + 2x^2) + (-16x-32) ... pair up terms
x^2(x + 2) + (-16x - 32) ... factor x^2 from the first group
x^2(x + 2) - 16(x + 2) ... factor -16 from the second group
(x^2 - 16)(x + 2) .... factor out (x+2)
(x - 4)(x + 4)(x + 2) .... Use the difference of squares to factor x^2-16
---------------------------
The original expression completely factors to (x - 4)(x + 4)(x + 2)
The three factors are x - 4 and x + 4 and x + 2
Answer:
V = 286319.465 cm3
Step-by-step explanation:
First, you have to find the radius to be able to find the volume of a sphere.
The equation for the area of a circle is pi r^2 so you have to so some algebra.
5252 = pi r ^2
5252/pi = r^2
1671.76352 = r^2
sqrt(1671.76352) = r
r = 40.8872048
then you do the equation for the volume of a circle which is 4/3 pi r^3
4/3 pi (40.8872048)^3
4/3 pi 68353.7373
4/3 214739.599
286319.465
V = 286319.465 cm3
D -9 because it has a -3 and its going to be the same - sign
Answer:
The staircase would extends 1.20 m if the changes were made.
Step-by-step explanation:
Acording tho the statement the total heigth is 5.04 m, that is 504 cm, each steps rises 21 cm. with this information we can calculte how many steps are in the whole staircase:
To calculate how much the staircase will extend, whe have to multiply the horizontal depth times the number of steps.
using the run of 24 cm that gives us a lengt of 576 cm and if the changes were made the new length will be 696 cm.
So the staircase would extend an amount of (696 - 576), that is 120 cm, or 1.20 m, if the changes were made.
