ANSWER
a. d+4
b. 4d+16
EXPLANATION
The area of the square coaster is represented by:

We split the middle term to obtain,

We factor by grouping to get,


Since area of a square is l² , it means the side length of the square is

b) The perimeter of a square is given by

We substitute the length in terms of d, to obtain;

Or

Hi there! Think of x as 2 and 6 and think of y as 8 and 12. 8-12/2-6=-4/-4. Now, -4/-4=1. Therefore, the answer is C. 1
Number 8 is C. I'm still trying to figure out what number 7 is.
Answer:
x=4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
24−4x=2x
24+−4x=2x
−4x+24=2x
Step 2: Subtract 2x from both sides.
−4x+24−2x=2x−2x
−6x+24=0
Step 3: Subtract 24 from both sides.
−6x+24−24=0−24
−6x=−24
Step 4: Divide both sides by -6.
−6x
/−6 =
−24
/−6
x=4
Answer:
32√5
Step-by-step explanation:
We have the right triangles PQA and PQB as well as the given right triangle QAB.
cot(PAQ) = 2/5 = QA/PQ
cot(PBQ) = 3/5 = QB/PQ
cot(PAQ) / cot(PBQ) = (2/5) / (3/5) = 2/3
cot(PAQ) / cot(PBQ) = (QA/PQ) / (QB/PQ) = QA / QB
QA / QB = 2/3
QA = (2/3) QB
QB = (3/2) QA
By the Pythagorean Theorem we have:
(QA)² + 32² = (QB)²
(QA)² + 32² = (3/2 QA)²
(QA)² + 1024 = (9/4) (QA)²
(5/4) (QA)² = 1024
(QA)² = (4/5)1024 = 4096/5
QA = 64/√5
Solve for PQ.
cot(PAQ) = QA/PQ
PQ = QA / cot(PAQ)
PQ = (64/√5) / (2/5) = 32√5
The height of the tower is 32√5.