Answer and Step-by-step explanation:
<u>Mandy travels more miles.</u>
We determine this by multiplying the distance from home by the number of trips.
For Mandy, she lives 10 miles away from school, and takes 9 trips. 9 times 10 is 90 miles.
For Matt, he lives 8 miles away from school, and takes 11 trips. 11 times 8 is 88 miles.
Many travels 2 more miles in total than Matt.
<em><u>#teamtrees #PAW (Plant And Water)</u></em>
The idea is to pair up the terms, factor each sub-group, and then pull out the overall GCF to fully factor.
x^3+5x^2-6x-30
(x^3+5x^2)+(-6x-30)
x^2(x+5)+(-6x-30)
x^2(x+5)-6(x+5)
(x^2-6)(x+5)
-------------
Answer: (x^2-6)(x+5)
Answer: 49°
Step-by-step explanation:
I'm guessing you meant complement? Complementary angles add up to 90°. 90° - 41° = 49°
Angle a is directly opposite from a 40 degree angle, so a=40. Then we can find b since the sum of the angles of all triangles is 180 and there is a right angle in there along with angle a:
Last, to find c we just notice that it is supplementary with an angle of measure 65, so:
So our angles are a=40, b=50, c=115.
If y varies directly with x, then a relationship exists in the form y = kx +c
where k = the constant of variation.
The given relationship is
3y = 7x - 18
or
y = (7/3)x - 6
Therefore the constant of variation is 7/3.
Answer: D. Yes; 7/3
