Answer:
Line C is parallel to the given line.
Step-by-step explanation:
The given graph slopes down, and thus has a negative slope: m = -1/2.
Of the possible choices, only C has this slope: y = (-1/2)x + b. The y-intercepts b and (0, 6) need not be the same, as the quality of parallelness is all that we care about here.
Answer:
20
Step-by-step explanation:
The two given and marked angles add up to 90.
A = x
B = 3x + 10
A + B = 90 Substitute for A and B. A and B are just letters I gave things.
x + 3x + 10 = 90 Combine the left
4x + 10 = 90 Subtract 10 from both sides.
4x +10-10 = 90-10 Combine
4x = 80 Divide by 4
4x/4=80/4
x = 20
Answer:
w=9x+4
Step-by-step explanation:
2(3x-3+w)=12x+2
6x-6+2w=12x+2
subtract 6x for both sides
-6+2w=18x+2
add 6 for both sides
2w=18x+8
Divide by 2 to find w
w=9x+4
Answer:2x with and exponent of 3 -9x with and exponent of 2 +7x +6
Step-by-step explanation:
Answer: 16n + 7
Step-by-step explanation:
The limit of the expression can be achieved by differentiating the expression.
8n^2+5n+2/3+2n
Collect the likes term and rearrange
8n^2+7n+2/3
Differentiating with respect to n
(2×8)n^2-1 + 7n^(1-1)
16n + 7
2/3 automatically equal to zero since it has no variable n
Therefore, the limit of the expression is 16n + 7