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katrin [286]
2 years ago
15

Find each unit rate. 4/5of a chapter in 3/10 hour

Mathematics
1 answer:
ZanzabumX [31]2 years ago
8 0

Answer:

8/3mph

Step-by-step explanation:

you must multiply both fractions by the reciprocal of 3/10 which is 10/3

(4/5 * 10/3) / (3/10 * 10/3)

(40/15) / (30/30)

(8/3) / 1

8/3 /1 = 8/3

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Answer:

y = -3x - 1

Use the methods on your other questions.

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Please help me and the answer is not the first one
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I think it’s the second one!!!
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3 years ago
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Pythagoras is planting a rose garden in the center of his rectangular yard, which is 20 feet long and 8 feet wide. He wants to d
Mama L [17]
The remaining area that the grass will cover will be given by:
Area=[area of rectangle]-[area of the triangle]
area of rectangle will be:
A1=length*width
=20*8
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A2=1/2absin theta
since the triangle is equilateral, all the angles are equal and the size of each angle is 60°. Thus the area will be:
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6 0
4 years ago
What is the product of the two integer values for $x$ for which $|x^2 - 16|$ is a prime number?
Nana76 [90]

Answer:

-9

Step-by-step explanation:

x² -16 = (x -4)(x +4)

This magnitude of this product can only be prime if one of the factors is ±1. Any other integer value of x will produce a composite number (or zero).

... For x-4 = ±1, x = 3 or 5

... For x+4 = ±1, x = -3 or -5

The values of x that are ±3 both give |x²-16| = 7, a prime.

The values of x that are ±5 both give |x²-16| = 9, not a prime.

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... (-3)·(3) = -9

8 0
3 years ago
Find a cubic function that has the roots 5 and 3-2i
Zolol [24]

Answer:

P(x)=x^3-11x^2+43x-65

Step-by-step explanation:

If the complex number 3-2i is a root of a cubic function, then the complex number 3+2i is a root too. Thus, the cubic function has three known roots 5,\ 3-2i,\ 3+2i and can be written as

P(x)=(x-5)(x-(3-2i))(x-(3+2i)),\\ \\P(x)=(x-5)(x^2-x(3-2i+3+2i)+(3-2i)(3+2i)),\\ \\P(x)=(x-5)(x^2-6x+9-4i^2),\\ \\P(x)=(x-5)(x^2-6x+9+4),\\ \\P(x)=(x-5)(x^2-6x+13),\\ \\P(x)=x^3-11x^2+43x-65.


4 0
3 years ago
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