Answer:
68°
Step-by-step explanation:
Okay, so m<8 is on the same plane as m<7 because line <em>q </em>is intersecting line <em>t </em>and that's supposed to add up to 180° so:
180° - 112° = 68°
So, m<7 = 68°
hope this helps:)
Answer:
( x - 1) ( 2x + 3)
Step-by-step explanation:
It's actually the other way round.
2x^2- + x - 3
( 2x^2 - 2x) + (3x-3)
2x ( x-1 ) + 3( x-1)
( x - 1)(2x+3)
Its the other way around
HOPE IT HELPED
Answer: depth = 5 ft
width = 10 ft
length = 40 ft
Step-by-step explanation:
d = depth
width = d + 5
length = d + 36
Volume = length x width x depth = 2000 cf
d(d+35)(d+5) = 2000
d(
+ 40d + 175) = 2000
d^3 + 40d^2 + 175d = 2000
rewrite in standard cubic polynomial form : ax3 + bx2 + cx + d = 0
d^3 + 40(d^2) + 175d - 2000 = 0
Find the roots of the cubic polynomial:
factors of 2000 are 1, 5, 10 15, 20, etc.
Try the factor 5 first by plugging it in the equation:
5^3 + 40(5^2) + 175(5) - 2000 = 0
Lucky break! No need to find the other roots because they will be negative, and you can't have a negative value for a pool depth.
So, depth = 5 ft
width = 5 + 5 = 10 ft
length = 5 + 35 = 40 ft
Answer:
(
4
x
−
1
)
(
x
−
3
)
Step-by-step explanation:
Factor by grouping.