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STatiana [176]
3 years ago
5

FACTOR COMPLETELY: x^2n+10x^n+16

Mathematics
1 answer:
Archy [21]3 years ago
8 0

Step-by-step explanation:

x^2n + 10x^n + 16

= (x^n)(x^n) + 10(x^n) + 16

= (x^n + 2)(x^n + 8).

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Your new TV screen has a width that is 4 inches longer than its height. If the screen's diagonal measurement is 20 inches, find
scoundrel [369]

Answer:

So the height is 12

Step-by-step explanation:

Let W be the width

Let W- 4 be the height

W2 +(W-4)2 = 400

So: W2 -4W-192 =0

One uses the quadratic solution:

W = (4 + (16 + 4*192).5)/2 = 16

7 0
3 years ago
Line JK passes through points J(–3, 11) and K(1, –3). What is the equation of line JK in standard form?
nikitadnepr [17]
You can start with the form
  ∆y(x -x1) -∆x(y -y1) = 0
Here, we have
  ∆y = 11-(-3) = 14
  ∆x = -3-1 = -4
and we can choose (x1, y1) = (1, -3). This gives
  14(x -1) -(-4)(y -(-3)) = 0
  14x +4y -2 = 0
All these terms have a common factor of 2 that we can remove. Adding 1 to the result puts it in standard form:

  7x +2y = 1

6 0
3 years ago
What is the distance, in units, between the points <img src="https://tex.z-dn.net/?f=%282%2C%20-6%29" id="TexFormula1" title="(2
Anna71 [15]

Answer: 3\sqrt{13}

Step-by-step explanation:

\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}

\sqrt{\left(-4-2\right)^2+\left(3-\left(-6\right)\right)^2}

=3\sqrt{13}

6 0
3 years ago
The parallelogram below is being covered with carpet. The carpet is priced at $2.80 per square meter. How much will it cost to c
Sloan [31]

Answer:

<em><u>$79.38</u></em>

Step-by-step explanation:

Find the diagram of the question attached

Area of the parallelogram = Base * Height

Given

Base = 8.1m

Height = 3.5m

Area of the parallelogram = 8.1 * 3.5

Area of the parallelogram = 28.35m²

If the carpet is priced at $2.80 per square meter, then;

1m² = $2.80

28.35m² = x

x = 28.35 * 2.80

x = $79.38

<em><u>Hence the cost of the carpet is $79.38</u></em>

7 0
3 years ago
A hot tub has capacity of 1458 liters 487 liters and 750 ml were put in how much more needs to be put in
Colt1911 [192]
Well the easiest way we can do it is convert liters in to milliliters and since there are 1000 milliliters in a liter multiply 1458 by 1000 and 487 by 1000 which will get you 1458000 milliliters of capacity and the 487 liters turns into 487000 mililiters we add this to the 750 milliliters  to get 487750 milliliters. Now it is all a matter of subtracting to find out how much more needs to be put in. 1458000-487750=970250  milliliters. So the amount needed to fill the hot tub is 970250 ml or if you want to convert it back to liters 970.250 l
5 0
3 years ago
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