Answer:
9x+8
Step-by-step explanation:
Given DS = 3x+10 and SE = 6x-2_ the value of DE is expressed as shown;
DE = DS+SE
Substitute the given functions into the formula to get DE
DE = (3x+10)+(6x-2)
Open the parentheses
DE = 3x+10+6x-2
Collect the like terms
DE = 3x+6x+10-2
DE = 9x+8
Hence the value of DE is 9x+8
Answer:
2157
Step-by-step explanation:
The given function is

We want to find f(c) when c=3.
This means the remainder when f(x) is divided by x-3
We perform the synthetic division:
5 10 3 8 -6 -3
<u>3| 15 75 234 726 2160</u>
5 25 78 242 720 2157
Therefore the remainder is 2157
You are right
Answer:
11.25
Step-by-step explanation:
Since AB and CD are parallel, ∠D is congruent to ∠A and ∠C is congruent to ∠B. Therefore the two triangles are similar by the AA postulate. Now, the corresponding sides are in proportion
Since AE ↔ DE and AB ↔ CD
So, AE/CD = AB/CD
AE/5 = 9/4
AE = 9(5)/4
= 45/4 = 11.25
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