MATHEMATICS HIGH SCHOOL

Part B: Factor x2 + 10x + 25. Show your work. (3 points)

Answers

Answer 1
Answer: x^(2) +10x+25 \n = x^(2) +5x+5x+25 \n =( x^(2) +5x)+(5x+25) \n =x(x+5)+5(x+5) \n =(x+5)(x+5) \n = (x+5)^(2)

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To convert centimeters to meters, you must: by what number? multiply divide 10 100 1,000

Answers

divide by 100
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Robert can paint a room in 6 hours. Julio can paint a room in 8 hours.how long will it take for the two of them to paint a room together?

Answers


Robert paints  1/6  of a room in an hour.
Julio paints  1/8  of a room in an hour.
Working together, they can paint (1/6 + 1/8) room/hour =

                                                (4/24 + 3/24) room/hour =

                                                      7/24 of a room per hour.

7/24 of a room per hour means

                                 24 hours / 7 rooms  = 

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1/6+1/8=1/x
1/6*(6*8*x)+1/8(6*8*x)=1/x(6*8*x)
8x+6x=48
14x=48
divide each by 14
x=48/14
x= 3.43 roughly

One leg of an isosceles right triangle measures 5 inches. Rounded to the nearest tenth, what is the approximate length of the hypotenuse?a.) 2.5 inches b.) 5.0 inches c.) 7.1 inches d.) 9.8 inches

Answers

c right there i think

The answer is C. 7.1 inches

How to find the area of a circle

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area of circle= pi × radius^2

What is the measure of rcd in the figure below

Answers

Theres no picture below

Answer:

Theres no picture below

Step-by-step explanation:

Which choice is equivalent to the quotient shown here when x > 0?√72x^3 divide by square root of 50x^2

Answers

Answer:

(3√(2x))/(5)

Step-by-step explanation:

Starting point:

(√(72x^3))/(50x^2)\n

1) Factor it by Prime Factor Method 72 and 50

72|2\n 36|2\n 18|2\n 9|3\n3|3\n 1\n 72=2^2*3^2*2

50|2\n 25|5\n 5|5\n 1\n 50=2*5^2

2) Plug it in the factored form. Every exponent to the second power will be outside the radical, so its roots.

(√(72x^2*x))/(50x^2)=(6x√(2x))/(5x√(2))=(6√(x))/(5√(2))

3) Rationalize it multiplying by the radical, so that you can eliminate the square root on the denominator.

(6√(x))/(5√(2))*(√(2))/(√(2))=(6√(2x))/(10)=(3√(2x))/(5)
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