9514 1404 393
Answer:
C. 2x^2 -8x +3 +1/(x +4)
Step-by-step explanation:
Synthetic division is useful for finding the quotient. Or, you can use polynomial long division. The result is the same, but synthetic division requires less writing.
I think the domain is -1 and the range is 2. You may want to double check though.
The answer to this is 5a-7
Answer:
Perimeter of the paperboard that remains after the semicircle is removed = 94.26 in
Step-by-step explanation:
Watch the attached figure of how the semi circle is cut out of the rectangular paperboard.
Length = 24 in
Width = 18 in
Radius of the semi circle = Half of the width of the paperboard =
= 9 in
1) Circumference of the semi circle = π*radius
= 3.14*9
= 28.26 in
2) Perimeter of the paperboard that remains after the semicircle is removed
= Top + Left + Bottom + Right Circumference of the semi circle
= 24 + 18 + 24 + 28.26
= 94.26 in
Answer:
1) x = 8
2) ∠RPS = 36°
Step-by-step explanation:
<u>GIVEN :-</u>
- ∠QPS = 180°
- ∠QPR = 7x + 88
- ∠RPS = 3x + 12
<u>TO FIND :-</u>
- Value of x
- Measure of ∠RPS
<u>FACTS TO KNOW BEFORE SOLVING :-</u>
In a straight line , if there are two angles such that their sum is equal to straight angle (or 180° in other words) , then those angles are known as linear pair.
<u>PROCEDURE :-</u>
1)
Measure of ∠QPS = 180° and it comprises of ∠QPR & ∠RPS.
⇒ ∠QPR & ∠RPS are linear pair.
⇒ ∠QPR + ∠RPS = 180°
⇒ 7x + 88 + 3x + 12 = 180°
⇒ 10x + 100 = 180
⇒ 10x = 180 - 100 = 80
⇒ x = 80/10 = 8
2)
x = 8. So,
∠RPS = 3×8 + 12 = 24 + 12 = 36°