Answer:
Unknown side length is
C is correct.
Step-by-step explanation:
We are given a right angle triangle whose two sides are 24 and 10.
As shown in figure 24 is longest side. It would be hypotenuse of triangle. 10 would be length of one leg and x would be length of another leg.
It is right angle triangle. Using pythagoreous theorem find out another leg (x)
Pythagoreous theorem:
where, a=x, b=10 and c=24
Thus, Unknown side length is
The fully factorized version of -x-5 is .
What is Factorization?
Usually, factorization or factoring means writing a number (or another mathematical object) as a product of minor or more uncomplicated objects of the same kind.
Given -x-5 is a linear expression.
For factorizing, first, make the coefficient of x positive. For this take -1 common.
⇒ -x-5 =
Now take the greatest common divisor (gcd) of absolute values of coefficients in x+5.
⇒ gcd(1,5) = 1.
Now take gcd 1 common in the expression.
⇒
⇒ .
∴ The fully factorized version of -x-5 is .
Learn more about factorization here:
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Answer:
The number of child tickets sold was 75 and the number of adult tickets sold was 97
Step-by-step explanation:
<u><em>The correct question is</em></u>
At the movie theater child admission is $6.30 an adult admission is $9.60 on Wednesday 172 tickets were sold for a total sales of $1403.70 How many child tickets and adult tickets were sold that day?
Let
x ----> number of child tickets sold
y ----> number of adult tickets sold
we know that
----> equation A
-----> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both lines
Using a graphing tool
The intersection point is (75,97)
see the attached figure
therefore
The number of child tickets sold was 75 and the number of adult tickets sold was 97
