Answer:
longer leg is 30 inches
Step-by-step explanation:
Answer: -75
Step-by-step explanation:
Answer:
Triangle A
Explanation:
This isn't really an explanation, but I don't really know how to explain. The other answers just aren't correct (They aren't right triangles).
Answer:
½ = x
Step-by-step explanation:
As discussed in one of my You-Tube videos on Exponential Rules, aᵐ\ⁿ, any base to the half power is the SAME AS taking the exponential denominator of that power, and setting that to the square root of the base, leaving the exponential numerator on the outside:
25¹\² = √25
25 = a [Base]
1 = m [Exponential Numerator]
2 = n [Exponential Denominator]
As you can see, it is unnecessary to put the two because by definition, any vacant root is automatically assumed as the square root, and 1, which is the exponential numerator, is on the outside, which again is unnecessary because 5¹ is 5.
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Answer:
Width = 15 inches Length = 20 inches
Step-by-step explanation:
The area of a rectangle is calculated using the following formula.
(1)
Where L is the length and x is the width of the rectangle
In this case we know that the length of the rectangle is 5 inches greater than its width. This means that:
(2)
Also The area of a rectangle can be represented by the equation 
so to find the width x we solve the equation
(3)
For an equation of the form 
the quadratic formula is:
In this case note that:
Then:
→ 
→ 
We take the positive solution 
Now we use equation (2) to find L
