Answer:
Step-by-step explanation:
The segment addition theorem tells you ...
CD +DE = CE
x^2 +12x = 32 -2x
Subtract the right side to put this in standard form.
x^2 +14x -32 = 0
(x +16)(x -2) = 0
x = -16 or 2
In order for DE to have a positive length, we must have x > 0. So ...
CD = x^2 = 2^2 = 4
DE = 12x = 12(2) = 24
CE = 32 -2x = 32 -2(2) = 28
Answer:
subtract 2, and add 5 repeatedly
Step-by-step explanation:
49, 47, 52, 50, 55
subtract 2, and add 5 repeatedly
49-2=47
47+5=52
52-2=50
50+5=55
55-2=53
53+5=58
and so on........
Answer:
5/18
Step-by-step explanation:
1/3 on monday
5/6 more
1/3 times 5/6
1 kg= 1000g
So to go from kilograms to grams, multiply by 1000:
2.5kg*1000= 2500 g
Answer: 2500 g
Answer:
<h3>B. It has infinite solutions</h3>
Step-by-step explanation:
Given the system of equations:
2t + w = 10 ..... 1
4t = 20 − 2w ... 2
From 1:
w = 10-2t ...3
Substitute 3 into 2 to have;
4t = 20 - 2(10-2t)
4t = 20-20+4t
4t = 4t
Let t = k
Substitute t = k into 1 and get w;
From 1: 2t + w = 10
2k + w =10
w = 10 - 2k
<em>k can take any integers. This shows that the solution to the equation is infinite</em>
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