1.1 Factoring: 4x2+9y2+16z2-6xy-12yz-8xz
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: -6xy-12yz
Group 2: 16z2-8xz
Group 3: 4x2+9y2
Pull out from each group separately :
Group 1: (x+2z) • (-6y)
Group 2: (x-2z) • (-8z)
Group 3: (4x2+9y2) • (1)
Looking for common sub-expressions :
Group 1: (x+2z) • (-6y)
Group 3: (4x2+9y2) • (1)
Group 2: (x-2z) • (-8z)
250 = 167.93 + x
[She needs $250, she has $167.93, and she needs x more. x represents the amount of money she still needs in order to get 250]
250 = 167.93 + x Subtract 167.93 on both sides
250 - 167.93 = 167.93 + x - 167.93
250 - 167.93 = x
82.07 = x
She needs $82.07 more
Or you could have done:
250 - 167.93 = 82.07
Answer:
5.00
Step-by-step explanation:
Answer:
yes
Step-by-step explanation:
2b+b=3b because2+1 = 3
-16t^2 + v0t + h0
= -16(t^2 - 1/16 v0t) + h0
= -16 [(t - 1/32v0)^2 - (1/32 v0)^2 ) + h0
= -16(t - 1/32v0)^2 + 1/64 (v0)^2 + h0 which is the vertex form
The vertex is at the point (1/32v0, 1/64 (v0)^2)
1/32v0 represents the time when the firework is at its maximum height and 1/64 (v0)^2 is this maximum height
