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nikklg [1K]
3 years ago
12

Which of the following is the correct conversion rate to multiplied by an order to convert from miles per second to yards per se

cond
A:1760s/1yd
B:1760mi/1s
C:1760yd/1mi
D:1mi/1760yd
Mathematics
1 answer:
elixir [45]3 years ago
4 0

Answer:

i dont even know duh

Step-by-step explanation:

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Which polynomial is equivalent to (2h − 3k)(h + 5k)?
Luba_88 [7]

Answer:

2h^{2}  + 7hk - 15k^{2}

Step-by-step explanation:

Distribute (2h − 3k)(h + 5k).

2h^2 + 10hk - 3hk - 15k^2

2h^2 + 7hk 15k^2

3 0
3 years ago
Write the product as a sum: 14cos(39x)sin(19x)
charle [14.2K]

Recall that

sin(<em>a</em> + <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) + cos(<em>a</em>) sin(<em>b</em>)

sin(<em>a</em> - <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) - cos(<em>a</em>) sin(<em>b</em>)

Adding these together gives

sin(<em>a</em> + <em>b</em>) + sin(<em>a</em> - <em>b</em>) = 2 sin(<em>a</em>) cos(<em>b</em>)

To get 14 cos(39<em>x</em>) sin(19<em>x</em>) on the right side, multiply both sides by 7 and replace <em>a</em> = 19<em>x</em> and <em>b</em> = 39<em>x</em> :

7 (sin(19<em>x</em> + 39<em>x</em>) + sin(19<em>x</em> - 39<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

7 (sin(58<em>x</em>) + sin(-20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

7 (sin(58<em>x</em>) - sin(20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)

4 0
3 years ago
Use the graph to find the factorization of x^2 - 7x + 12.​
harkovskaia [24]

Answer:(x-3)(x-4)

Step-by-step explanation:Basically, the intercepts of the graph, 3 and 4, are when the graph is equal to zero, which is why is (x-3)(x-4) and not (x+3)(x+4).

3 0
3 years ago
Read 2 more answers
Ratio equivalent to 48:24
Evgen [1.6K]
48:24 = 24:12 = 12:6 = 6:3 (divide each number by 2 or multiply by 2)
3 0
3 years ago
Need an answer, please need an answer, please​
trasher [3.6K]

Answer:

Step-by-step explanation:

Area = 192 m²

Perimeter= 56 m

Width = x m

Perimeter = 56

2*(length + width) = 56

Divide the equation by 2

l + x = 56/2

l + x = 28

    l = 28 - x

Area = 192 m²

l * w = 192

(28 - x)*x = 192

28x - x*x = 192

0 = 192 - 28x + x²

x² - 28x + 192 = 0

2) Equation is a quadratic equation. The roots of this equation will the dimensions of the rectangular plot.

3) The roots represent the width and length  of the rectangle.

x² - 28x +192 = 0

Sum = -28

Product =192

Factors =  -16 , -12   {-16 +(-12) = -28  & (-12)*(-16) = 192}

x² - 28x + 192 = 0

x² - 12x - 16x + (-16)*(-12) = 0

x(x  -12) - 16(x - 12) = 0

(x - 12)(x -16) =0

x -12 = 0     ; x - 16 = 0

x = 12  ; x = 16

x = 12 ,16

4) Sum of the roots = 12 + 16 = 28

Sum of the roots = half of the perimeter

5) Product of the roots = 12*16 = 192 =  area of the rectangle.

6 0
3 years ago
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