Answer:
4m³+8 is a 3rd degree binomial with constant term of
.
Step-by-step explanation:
- A binomial expression consists of two terms.
For example,
is a binomial, where m and n are two terms.
- As we know that the degree of the polynomial is said to be the highest exponent of any of the terms.
For example, in expression 7m + 3, the exponent of m is 1. So it is 1st degree polynomial.
Similarly, in the expression 10m²+9m, variable m has the highest exponent which is 2. So it is 2nd degree polynomial.
Now, let us write a 3rd degree binomial with a constant term of 8
4m³+8
As it has two terms which are 4m³ and 8, Therefore, it would be called binomial.
Also the highest exponent with variable m is
. Therefore it would be a 3rd degree binomial with constant term of
.
Answer:
The answer is 72 square units
Step-by-step explanation:
If rectangle A is scaled by 150% that means the length and breadth of rectangle A were both increased by 1.5(150%) to yield rectangle B.
So, the area of rectangle B is 1.5L x 1.5B = 2.25LB
But, LB = area of rectangle A which is = 32
So, area of rectangle B
= 2.25 x 32
= 72square units.
Answer:

Step-by-step explanation:
Hello!
To find the slope of a line we divide how many times it goes over by the number of times it goes up
The line goes over 4 and up 2 which is shown like

We can simplify this

The answer is 
Hope this helps!
Answer:
see explanation
Step-by-step explanation:
Using De Moivre's theorem
Given
[ 4(cos15° + isin15° ) ]³, then
= 4³ [ cos(3 × 15°) + isin(3 × 15°) ]
= 64 (cos45° + isin45° )
= 64 (
+
i )
= 64 (
(1 + i) )
= 32
(1 + i)
= 32
+ 32
i
Answer:

Step-by-step explanation:
A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.
To write a ratio, we count the number of each quantity we are comparing or use the variable for that quantity. We write radius:circumference. Recall, the circumference of a circle can be found using
or
.
We write r:
or r:
.
We can also write in fraction form:
or 