Area = length x width
x² + 12x = l * x
A. First, you factor x from x² + 12x
area = x (x+12)
area = (x+12) * x
Length = x + 12
B.If
x = 10,l = x + 12 = 10 +12 = 22
length = 22
and
Area = x² + 12x = 10² + 12(10) = 100 + 120 = 220
area = 220 Hope this helps :)
Answer:
Step-by-step explanation:
The exponential model for the population in t years after 2013 is given by:
In which P(0) is the population in 2013 and r is the growth rate.
In 2013, the moose population in a park was measured to be 5,100
This means that 
So
By 2018, the population was measured again to be 5,200.
2018 is 2018-2013 = 5 years after 2013.
So this means that 
.
We use this to find r.
So the equation for the moose population is:
Answer:
The pair of triangles that are congruent by the ASA criterion isΔ ABC and Δ XYZ.
The pair of triangles that are congruent by the SAS criterion is Δ BAC and ΔRQP.
Step-by-step explanation:
Two triangles are congruent by ASA property if any two angles and their included side are equal in both triangles .In triangles Δ ABC and Δ XYZ the equal side 5 is between the two equal angles. So these triangles are congruent by ASA criterion.
Two triangles are congruent by SAS if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle .In triangles Δ BAC and ΔRQP. the included angles A and Q are equal and hence the triangles are congruent by SAS criterion.
Answer:
steps below
Step-by-step explanation:
√576 = √64*9 = √(2)⁶*(3)² = 2³*3 = 24
√15876 = √4*81*49 = √2²*3⁴*7² = 2*3²*7 = 126
