Answer:
x = 7 x = -6
Step-by-step explanation:
x^2−x−42=0
Factor
What two numbers multiply to -42 and add to -1
-7*6 = -42
-7+6 = -1
(x-7) (x+6) =0
Using the zero product property
x-7 =0 x+6 =0
x = 7 x = -6
Answer:
7) x=3, y=-7
x=0, y=-2
Step-by-step explanation:
We are asked to show a proof that m∠1 is equal to 62° and the line l is parallel to line m which has an angle of 180°. If two lines are parallel the summation of angles are 180 degrees and they are also considered as a supplementary angle. Hence, by this we have formed the equation and solution below:
m∠l + m∠m = 180°
replacing the value of two angles, we have:
62° + 118° = 180°
180° = 180°
Therefore, the two lines are parallel.
Answer:
a)
,
,
b)
,
,
Step-by-step explanation:
We can use the chain rule in the following form: is u=u(x) is a differentiable function depending on x and y=y(u) is a differentiable function depending on u, then
.
a)
from the power rule.
.
From the previous parts and the chain rule,
b)
from the power and sum rules.
Then,
Answer:
26
Step-by-step explanation:
○= 7
□=5
◇=4 (The triangle)