Answer:
5. D (4,6)
6. B (7.8)
Step-by-step explanation:
5. Add the two X coordinates (6+2) and divide that by 2 (8/2=4), do the same for the two Y coordinates (4+8=12, 12/2=6)
6. Use the distance formula 
Input the coordinates 
Answer:
17
Step-by-step explanation:
The expression of interest is the difference of the two given expressions.
(-4x +6y) -(-2x -7y) = (9) -(-8)
-2x +13y = 17
The value is 17.
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<em>Additional comment</em>
You could go to the trouble to solve the two equations for x and y, then compute the value of the expression you want. As we saw above, that is not necessary.
The first step in problem solving is always "look at the given information and how it relates to what you are asked." A little time spent doing that can save a lot of effort in the actual problem solving process.
Answer:
proportional relationship
Step-by-step explanation:
its proportional because it crosses through the axis :3
Exactly right down to the last step, but some errors in combining terms.
(6m^5 + 3 – m^3 – 4m) – (–m^5 + 2m^3 – 4m + 6)
= (6m^5 + 3 – m^3 – 4m) + (m^5 – 2m^3 + 4m – 6)
= 6m^5 + 3 + (–m^3) + (–4m) + m^5 + (–2m^3) + 4m + (–6)
= [6m^5 + m^5] + [3 + (–6)] + [(–m^3) + (–2m^3)] + [(–4m) + 4m]
= (6+1)m^5 +(-1-2)m^3 +(-4+4)m +(3-6)
= 7m^5 – 3m^3 – 3
Answer:
x = 63°
y = 45°
z = 72°
Step-by-step explanation:
<u>Points to remember</u>
1). Opposite angles of a parallelogram are equal
2). Adjacent angles of a parallelogram are supplementary
3). Sum of angles of a triangle is 180°
<u>To find the measures of given angles</u>
ABCD is parallelogram.
m<C = m<C = x = 63°
Consider triangle ABD
m<A + m< B + m<D = 180
x + 72 + y = 180
y = 180 - ( 72 + x) = 180 - 135
y = 45°
Also y + z + m<C = 180
45 + z + 63 = 180
z = 180 - 108
z = 72°