(x+13) + x= 47
2x+13=47
-13. -13
2x=34
x=17
The length of the longer piece is 17 in
Answer:
If two angles form a linear pair, they are supplementary.
Step-by-step explanation:
A linear pair is two angles that are adjacent and the non-common sides form a straight line.
So here is how you solve the given problem.
Let x be the original width.
The original length is x + 2.
The new length is (x + 2) + 5 so it is x + 7.
A = L x W
60 = (x + 7) (x)
60 = x2 + 7x
x2 + 7x - 60 = 0
Therefore, x would be equivalent to 5.
Original Area = x (x + 2)
A = 5 (5 + 2)
A = 35 ft.
Therefore, the answer would be 35 feet, the third option. Hope this answer helps.
Answer:
Part 1) Is a cubic expression
Part 2) The quadratic expression is 12x² + 8x − 1
Step-by-step explanation:
Part 1) Classify the expression: 5x³ + 2x − 3
we know that
Polynomials can be classified two different ways - by the number of terms and by their degree.
so
a) <u>By the number of terms</u> is a trinomial, because has three terms
b) <u>By their degree</u> The degree of the polynomial is found by looking at the term with the highest exponent on its variable
The highest exponent is 3 so this is a 3rd degree trinomial
therefore
Is a cubic expression
Part 2) Choose the expression that represents a quadratic expression
we know that
If the expression is a quadratic equation , then the highest exponent of the variable is 2
therefore
The quadratic expression is 12x² + 8x − 1
Answer:
cot (X) = 5/12
Step-by-step explanation:
tan (X) = opp/adj so cot (X) is adj/opp