9514 1404 393
Answer:
(3) 12
Step-by-step explanation:
Let x represent the length of leg XY. Then the length of YZ is x/2 and the area of the right triangle is ...
A = 1/2bh
A = 1/2(x)(x/2) = x²/4
36 = x²/4 . . . . . use the given value for area
144 = x² . . . . . . multiply by 4
√144 = 12 = x . . . . . take the square root
The length of leg XY is 12 cm.
Step-by-step explanation:
1. We we can split 4p into 9p - 5p, and now we have 3p² + 9p - 5p - 15 = 0. We can take out 3p from the first 2 terms and -5 from the last 2 terms. This gets us 3p (p + 3) -5 (p + 3) = 0. These two terms have (p + 3) as a common facor, so we can take that out as well, which give us (p + 3)(3p - 5) = ). Using Zero Product Property, p + 3 = 0 and 3p - 5 = 0, and when we solve each equation, we get p = -3, p= 5/3.
2. We will use the same process.
6x² + 14x - 3x - 7 = 0
2x (3x+7) - 1 (3x+7) = 0
(3x + 7)(2x - 1) = 0
3x + 7 = 0, 2x - 1 = 0
x = -7/3, x=1/2
Hope this helps!
The required value after simplification of the s = -16/3. None of these are correct.
Given that,
To simplify and to find the value of s in .
<h3>What is simplification?</h3>
The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.
Simplification,
Comparing with
s = -16/3
Thus, the required value of the s = -16/3. None of these are correct.
Learn more about simplification here: brainly.com/question/12501526
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Answer:
The total length of rebar used is 21.66 meters.
Step-by-step explanation:
Given:
Ivan had cut a reinforcing bar in 19 pieces and length of each bar is 1.14 meters.
Number of pieces = 19
Length of each piece = 1.14
We need to find the total length of reinforcing bar.
To calculate the total length we will multiply number of pieces with length of each piece.
Hence,
Total length of rebar = Number of pieces × Length of each piece =
Rounding to nearest hundred = 21.66 m
Hence the total length of reinforcing bar is 21.66 meters.