Multiply the Polynomial
(5a-b)(5a+8b)

Explain.

Answers

Answer 1
Answer: (5a-b)(5a+8b)=(5a*5a)+(5a*8b)+(-b*5a)+(-b*8b)=25a^2+40ab-5ab-8b^2=25a^2+25ab-8b^2
Answer 2
Answer: (5a - b)(5a + 8b)
5a(5a + 8b) - b(5a + 8b)
5a(5a) + 5a(8b) - b(5a) - b(8b)
25a² + 40ab - 5ab - 8b²
25a² + 35ab - 8b²

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If parallelogram JKLM is rotated 270 clockwise around the origin, what are the coordinates of the endpoints of the side congruent to side JM in the imagine parallelogram?

Answers

Answer:

Step-by-step explanation:

I think you missed attaching the photo of the parallelogram JKLM  and here it is in my answer

When rotating a point 270° clockwise or 90°clockwise around the origin, we apply the rule (x, y) → (-y, x).

Look at the photo, we can see the coordinate of the point

  • J (-6, 2)  
  • M = (-5, -1)

So apply the rule, after the rotation, the new co-ordinates will be:

  • J = (-2, -6)
  • M = (1, -5)

Answer: A j(-2, -6) and M(1,-5)

Step-by-step explanation:

Ari thinks the perfect milkshake has 33 ounces of caramel for every 55 scoops of ice cream. Freeze Zone makes batches of milkshakes with 66 ounces of caramel and 88 scoops of ice cream. What will Ari think about Freeze Zone's milkshakes?

Answers

Answer:

Too much caramel.

Step-by-step explanation:


(33)/(55)  \:  =  \:  (66)/(88) k
(3)/(5)  \:  =  \:  (6)/(8) k
(3)/(5)  \:  =  \:  (3)/(4) k
k \:  =  \:  (4)/(5)
Since, k ≠ 1,
Ari will think Freeze Zone's Milkshakes don't have the required quality.

A pool company claims that for optimal results customers should use 20 cups of 73% chlorine solution to treat their pools unfortunately the company only has an 80% chlorine solution and a 60% chlorine solution In stock how many cups of Each chlorine solution should be mixed to create the optimal solution?

Answers

Answer:

13 cups of the 80% chlorine solution + 7 cups of the 60% chlorine solution

Step-by-step explanation:

The pool company recommendation is 20 cups of 73% chlorine to treat their pool

Concentration of chlorine solution in stock = 80% and 60%

Therefore to make 20 cups of 73% solution, we require;

X cups of the 80% chlorine solution and

Y cups of the 60% chlorine solution

That gives 0.8·X + 06·Y = 0.73 × 20

X + Y = 20

Solving gives X = 13 cups

and Y = 7 cups

Therefore to  make the optimal solution, 13 cups of the 80% chlorine solution should be mixed with 7 cups of the 60% chlorine solution.

If 5 is increased to 8 , the increase is what percent of the original number?

Answers

Answer:

60%

Step-by-step explanation:

5*1.60=8

Input the equation for the following line in standard form Ax + By =c. Reduce all fractional answers to lowest terms. A line with y-intercept of 2 that is parallel to 2x + y = -5.
Given two points on the line, input the equation of the line in standard form Ax + By =
c. Reduce all fractional answers to lowest terms. (7, -3), (4, -8)
A line that passes through the origin and is parallel to x + y = 6.

Answers

c. Reduce all fractional answers to lowest terms. A line with y-intercept of 2 that is parallel to 2x + y = -5

What is the measure of RPQ

Answers

Answer:

239

Step-by-step explanation:

SP is the diameter so Arc RP is supplementary to Arc SR

31 + x = 180

x = 149

Arc PQ is supplementary to Arc SQ so

90 +  x = 180

x = 90

Arc Addition:

149 + 90 = 239