Answer:
The new sum have degree = 5
The maximum number of terms of the sum is 6, but it could be less.
Step-by-step explanation:
Given :
Raj writes a polynomial expression in standard form using one variable, a, that has 4 terms and is degree 5.
Let the polynomial: 
Next, Nicole writes a polynomial expression in standard form using one variable, a, that has 3 terms and is degree 2.
The polynomial is: 
Now, adding both polynomials we have:
→ The new sum have degree = 5
→ The maximum number of terms of the sum is 6, but it could be less.
Answer:
x = 6 cm
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = 
bh ( b is the base and h the height )
Here b = 12 and h = 4, then
A = × 12 × 4 = 6 × 4 = 24 cm²
Then area of parallelogram = 3 × 24 = 72 cm²
The area (A) of a parallelogram is calculated as
A = bh ( b is the width and h the height )
Here b = x and h = 12, thus
12x = 72 ( divide both sides by 12 )
x = 6
The width of the parallelogram is 6 cm
Answer:
1. There is a <u><em>1/5</em></u> chance you will get a blue one from both bags.
2. There is a <u><em>3/32</em></u> chance you will get a 1 and then a 2.
3. There is a <u><em>5/12</em></u> chance of rolling a factor of 12 and then an odd number.
Step-by-step explanation:
<u><em>Question 1</em></u>
Add all the marbles together.
3 + 2 = 5
4 + 2 = 6
Make a fraction.
blue/all
Use it on the numbers.
3/5
2/6
Multiply them together.
6/30
Simplify.
1/5
There is a <u><em>1/5</em></u> chance you will get a blue one from both bags.
<u><em>Question 2</em></u>
Add all the numbers together.
There are 8.
Make the two crucial fractions.
ones/all
twos/all
Use them.
3/8
2/8
Multiply them together.
6/64
Simplify.
3/32
There is a <u><em>3/32</em></u> chance you will get a 1 and then a 2.
<u><em>Question 3</em></u>
Find the factors of 12.
1, 2, 3, 4, 6
Make a fraction.
factors/all
Use the fraction.
5/6
Find the odd numbers.
1, 3, 5
Make a fraction.
odd/all
Use the fraction.
3/6
Multiply them together.
15/36
Simplify.
5/12
There is a <u><em>5/12</em></u> chance of rolling a factor of 12 and then an odd number.
Answer:
(x, y) → (1.5x, 1.5y)
Step-by-step explanation:
Each of the image coordinates is 1.5 times the corresponding pre-image coordinate. The transformation is a dilation by a factor of 1.5 about the origin.
Some authors use a notation like D(1.5,O) to indicate the transformation. I like the one shown above, or ...
(x, y) → 1.5(x, y)
All of them or a specific one?
