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You can use factors to solve. Determine all the factor pairs of 24, find the two that are two numbers apart.
1, 24 X
2, 12 X
3, 8 X
4, 6 YES!
Algebraic way to solve using Quadratics:
l = 2 + w
A = lw
A = (2 + w)w Substitute (2 + w) for l
24 = (2 + w)w Substitute 24 in for the area
24 = 2w + w^2 Distribute
w^2 + 2w - 24 = 0 Set equal to 0 (put in standard form)
(w + 6) (w - 4) = 0 Factor
w + 6 = 0 and w - 4 = 0 Set each factor equal to 0.
So w= -6 or w = 4 ... -6 makes no sense for a length! So the width must be 4 and the length will be 4 + 2, which is 6.
Answer:
<ADC=131°
Step-by-step explanation:
<ADC= <ADB+<BDC
We need to substitute the angle measures and simplify to get:
<ADC=89+42
This simplifies to give us:
The correct answer from the given options is the first choice.
If you convert 0.02 kilometers into centimeters, you would get 2,000 centimeters.
By evaluating the <em>linear</em> function f(x) = x - 3 at x = 5 and discarding the another function in the table given, we conclude that f(5) = 2 belongs to that <em>linear</em> equation.
<h3>What function contains a given relationship?</h3>
In this problem we must check if the given relationship between the <em>independent</em> variable (x) and the <em>dependent</em> variable (y) exists in any of the two functions: (i) a table, (ii) an expression.
After a quick analysis, we conclude that f(5) = 2 is a point of the linear function f(x) = x - 3. Here is the proof:
f(5) = 5 - 3
f(5) = 2
To learn more on linear equations: brainly.com/question/11897796
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