Answer: a = 1 b = 7
Step-by-step explanation:
x^2(y^3)^4/x.y^5 = x^a.y^b
x^2(y^12) = x^a.y^b
(x^2).(y^12)/x^y^5 = x.y^7
x.y^7= x^a . y^b -> <u>x^1.y^7</u>
<span>LMN≅PQR means that point L is equal to P, point M is equal to Q, and point N is equal to R. All lines are the same.
Point Q has an angle of 72, which means that point M also has an angle of 72.
Now you have two angles to find x. All interior angles of a triangle add up to 180, so you can set up the following equation to find x:
72 + 36 + x = 180
Subtract 36 from both sides.
72 + x = 144
Subtract 72 from both sides.
x = 72
The angle of point L, x, is 72.
</span>
The first thing we must do for this case is to define a variable.
We have then:
n: unknown number.
We write the algebraic expression:
13 - 4n
For n = 3 we have:
13 - 4 (3) = 13 - 12 = 1
Answer:
An expression that represents this phrase is:
13 - 4n
its value if n = 3 is:
1
Answer: 14 1/8
Step-by-step explanation: To add mixed numbers, first add the fractions. In this case, we have two fractions
and
and these fractions have unlike denominators. We need to find a common denominator for both of these fractions to be able to add.
<u>Least Common Denominator:</u>
= 
= 
12 4/8 + 1 5/8 = 13 9/8
Notice that 9/8 is an improper fraction so we can change it to a mixed number.
9/8 = 1 1/8
13 + 1 and 1/8 = 14 1/8