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2 years ago

In the equation, 7x^2 + 14xy = 7x (x + 2y), what is the binomial factor ?

Mathematics

2 answers:

Vaselesa [24]2 years ago

8 0

Answer:

Step-by-step explanation:

The binomial factor is the factor with 2 terms

Given

7x² + 14xy = 7x(x + 2y)

7x is a monomial factor (1 term)

(x + 2y) is the binomial factor ( 2 terms ) → B

KonstantinChe [14]2 years ago

5 0

(x+2y)

How?

$\\ \rm\longmapsto 7x(x+2y)$

Use distributive law

a(b+c)=ab+bc

$\\ \rm\longmapsto 7x(x)+7x(2y)$

$\\ \rm\longmapsto 7x^2+14xy$

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A unit vector lies in the xy plane, at an angle of 137 degrees from the x axis, with a positive y component. What is the unit ve

Fed [463]

Answer: ( -0.731, 0.682)

Step-by-step explanation:

The unit vector is defined as a vector that points in the same direction as our vector (137 degrees from the x-axis) and has a magnitude of 1.

Knowing the angle, is really simple to do it.

First, we know that for a radius R and an angle A, the rectangular coordinates can be written as:

x = R*cos(A)

y = R*sin(A)

And if we want that the magnitude/modulus of our vector to be 1, then R = 1, and we know that A = 137°

x = 1*cos(137°) = -0.731

y = 1*sin(137°) = 0.682

Then the unit vector is: ( -0.731, 0.682)

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

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How do you write 0.72 as a fraction?

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3 years ago

How to do the problem

marta [7]

There are 153 people who each ate 1/4 pounds. Therefore, the amount of watermelon eaten is 153/4 pounds.
The amount of watermelon served is
$8 \frac{1}{4} + 9 \frac{1}{4} + 8 \frac{7}{8} + 9 \frac{5}{8} + 10 \frac{3}{4}$
$= \frac{8 \times 4 + 1}{4} + \frac{9 \times 4 + 1}{4} \\ + \frac{8 \times 8 + 7}{8} + \frac{9 \times 8 + 5}{8} \\ + \frac{10 \times 4 + 3}{4}$
$= \frac{33}{4} + \frac{37}{4} + \frac{71}{8} + \frac{77}{8} + \frac{43}{4} \\ = \frac{33 \times 2}{4 \times 2} + \frac{37 \times 2}{4 \times 2} + \frac{71}{8} \\ + \frac{77}{8} + \frac{43 \times 2}{4 \times 2}$
$= \frac{66 + 74 + 71 + 77 + 86}{8}$
$= \frac{374}{8} = \frac{186}{4}$
There is 186/4 total watermelon. Minus the 153/4 that was eaten,
$\frac{186 - 153}{4} = \frac{33}{4} = 8 \frac{1}{4}$

The leftover watermelon is 8 & 1/4 pounds.

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