Question:
Which statement is true about the polynomial
–3x4y3 + 8xy5 – 3 + 18x3y4 – 3xy5 after it has been fully simplified?
It has 3 terms and a degree of 5.
It has 3 terms and a degree of 7.
It has 4 terms and a degree of 5.
It has 4 terms and a degree of 7.
Answer:
Option D: It has 4 terms and a degree of 7.
Explanation:
The given polynomial is 
We need to simplify the polynomial to determine the number of terms and the degree of the polynomial.
Hence, the simplified polynomial is given by
Term of a polynomial:
The term of a polynomial consists of a number multiplied by a variable or it may be a constant.
Thus, the simplified polynomial has 4 terms.
Degree of a polynomial:
The degree of a polynomial is the sum of exponents of the variables in a term.
Thus, the simplified polynomial has a degree of 7.
Hence, the polynomial has 4 terms and a degree of 7.
Therefore, Option D is the correct answer.
Answer:
The perimeter of the triangle 198 cm.
Step-by-step explanation:
Given that,
In a right angled triangle, a and b are the length of the legs and c is length of the hypotenuse.
Pythagorean Theorem:
Sum of square of the legs is equal to square of hypotenuse.
∴a²+b²=c²
a= ?, b= 77 cm and c=85 cm
a²+77²=85²
⇒a²+5929=7225
⇒a²=7225-5929
⇒a²= 1296
⇒a = 36 cm
The perimeter of the triangle = sum of all sides
=a+b+c
=(36+77+85) cm
= 198 cm
Answer:
x=13
Step-by-step explanation:
Answer:
the first one on the left closest to the question.
Step-by-step explanation:
Graph the inequality by finding the boundary line, then shading the appropriate area.
Answer:
C. two thirds x + 10 = 21
Step-by-step explanation:
Given
Price of adult ticket = $21.00
Let x be the price of student ticket
Then
two third of the student ticket will be:
The statement $10.00 more than two third of student ticket:
As we are given in the question that the adult ticket price is $21.00 and the second explanation is th equation formed by the given statement
So, both will be equivalent
Solving this equation for x will give us the price for the student ticket.
Hence,
C. two thirdsx + 10 = 21 is the correct answer ..
