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kupik [55]
3 years ago
6

factor the polynomial. 17xy^4 51x^2y^3 a) 7xy (10y^4 44xy^2) b) 17xy^3 (y 3x) c) 17xy (1 1/3xy^2) d) xy (17 51xy^2)

Mathematics
1 answer:
Gnom [1K]3 years ago
6 0
17x y^4 + 51x^2 y^3 = 17x y^3(y + 3x)
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Whats the slope of this line?
zhannawk [14.2K]
Slope = (y2 - y1)/(x2 - x1) = (10 - 70)/(5 - (-15)) = -60/(5 + 15) = -60/20 = -3
6 0
4 years ago
The new patio at Tonya's house is 5 yards long by 10 feet wide. She is going to cover the patio with square bricks that measure
Klio2033 [76]

Answer:

A

Step-by-step explanation:

Steps to take to determine the answer

  1. Because the length is in yards, it has to be converted to foot
  2. Find the area of the patio using the length and width measured in foot
  3. Determine the area of the square brick
  4. Multiply the cost of the brick by the area

1 yards = 3 foot

5 x 3 = 15 foot

Area of a rectangle = length x breadth

15 x 10 = 150 ft^2

Cost = 150 x 4 = $600

4 0
3 years ago
In August 200920092009, Usain Bolt ran 100100100 meters in 9.589.589, point, 58 seconds (\text{sec})(sec)left parenthesis, start
Sveta_85 [38]

Answer:

<u>Usain Bolt's average speed in yards per second was 11.4</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

World record of Usain Bolt = 9.589 seconds

Distance of the world record = 100 meters

1 yard = 0.9144 meters ⇒ 100 meters = 109.36 yards

2. What was Usain Bolt's average speed in yards per second?

Let's recall that the formula of speed is:

Speed = Distance/Time

Replacing with the values we know:

Usain Bolt's Speed = 109.36/9.589

<u>Usain Bolt's Speed = 11.4 yards per second (Rounding to one decimal place)</u>

6 0
3 years ago
Triangle K L J is cut by line segment N O. Line segment N O goes from side L K to side L J. The length of L N is (x minus 3) inc
kozerog [31]

Answer: x= 8

Step-by-step explanation:

According to the converse of basic proportionality theorem,

If in ΔABC , DE is a line drawn from AB to AC such that \dfrac{AD}{DB}=\dfrac{AE}{EB}

then, DE is parallel to the third side BC.

Applying converse of basic proportionality theorem, to get NO parallel to KJ, we must have

\dfrac{LO}{OJ}=\dfrac{LN}{NK}\\\\\Rightarrow \dfrac{x-4}{x}=\dfrac{x-3}{x+2}\\\\\Rightarrow\ (x-4)(x+2)=x(x-3)\\\\\Rightarrow\ x^2-2x-8=x^2-3x\\\\\Rightarrow\ -2x+3x=8\\\\\Rightarrow\ x=8

Hence, the value of x should be 8, so that Line segment N O is parallel to line segment K J.

8 0
3 years ago
Read 2 more answers
The science department orders a new telescope and pays $253.87 after tax. The tax rate is 6% . What was the original price of th
mash [69]
The price after tax is £253.87 so to find the original price you have to deduct 6% but first you need to find 6%.

Easiest way to find 6% is by finding 10% or 2% or 1% / whatever you find easiest. For me it would be 1%

If you find 1 % you would then multiple it by 6 to give you 6%

10% is £25.38 (move the decimals 1 unit)
1% is £2.54 (move decimals 2 units)
Always round up

£2.54 X 6 = £15.24

£253.87 - £15.24 = £238.63
7 0
3 years ago
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