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Karolina [17]
3 years ago
8

Consider the expression below. Assume m is an integer.

Mathematics
1 answer:
grigory [225]3 years ago
8 0

Answer:

4m² + 28m

A. Yes

Step-by-step explanation:

12m(3m+21) = 3(4m)[3(m+7)]

= 9(4m)(m+7)

= 9(4m²+28m)

Since 9 is a factor, it is divisible by 9

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What is the equation of the line that is parallel to the given line and passes through the point (–2, 2)?
uysha [10]

Answer:

y = 1/5 x + 12/5

Step-by-step explanation:

We are looking for the equation of a line.

We satart with the slope-intercept form of the equation of a line.

y = mx + b

We need to find m, the slope, and b, the y-intercept.

The given line is y = 1/5 x - 3.

Its slope is 1/5.

Parallel lines have equal slopes, so the slope we need is also 1/5.

Now we have for our line

y = 1/5 x + b

Now we find b.

We are given a point on the line, (-2, 2). Using the slope we already know, plug in (-2, 2) in the equation and solve for b.

2 = 1/5 * (-2) + b

10 = -2 + 5b

12 = 5b

b = 12/5

Now that we know the y-intercept, we can write the equation of the line.

y = 1/5 x + 12/5

5 0
3 years ago
Convert 3.4 radians into degrees
Dafna11 [192]

Answer:

194.806

Step-by-step explanation:

To convert radians to degrees, the key is knowing that 180 degrees is equal to pi radians. Then multiply the measurement in radians by 180 divided by pi. For example, pi over 3 radians would be equal to 60 degrees.

to convert radians to degrees you first need to know that 180 degrees is equal to pi radians. then multiply the measurement in radians by 180 divided by pi. for example, pi over 3 radians would be equal to 60 degrees.

3 0
3 years ago
Read 2 more answers
In an electric circuit, two resistors with resistances x and y are connected in parallel. In this case, if r is the combined res
Vladimir [108]

Answer:

(D) xy/(x + y)

Step-by-step explanation:

To find r in terms of x and y

Given,

  • two resistors with resistances x and y are connected in parallel
  • r is the combined resistance of these two resistors
  • the reciprocal of r is equal to the sum of the reciprocals of x and y

Then,

1/r = 1/x + 1/y

1/r = (y + x)/xy

Find the reciprocal of both sides

r = xy/(x + y)

The right answer is option (D)  xy/(x + y)

5 0
3 years ago
| 15. Write an equation and solve.
docker41 [41]

Answer:

The value x in the equation 50=14+x+7+2x-1 is 10

Step-by-step explanation:

Given that the length of one side of a triangle is 14 inches

Let a be the length of one side

Therefore a=14 inches

The length of second side in x+7 inches

Let b be the length of second side

b=x+7 inches.

The length of third side is 2x-1 inches

Let c be the length of third side

c=2x-1 inches

And perimeter of the triangle =50 inches

Perimeter of a triangle =a+b+c

Equation can be written as

50=14+x+7+2x-1

50=20+3x ( adding the like terms )

Rewritting as below

3x+20=50

3x+20-50=50-50

3x-30=0

3x-30+30=0+30

3x=30

x=\frac{30}{3}

Therefore x=10

The value of x is 10

4 0
3 years ago
Applying probability concepts
sergey [27]

Answer:

See below ↓

Step-by-step explanation:

  • Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true
  • Probability can range in from 0 to 1
  • The probability Choosing a card from the deck of card

<u>Applications</u>

  • Flipping a coin
  • Throwing a dice in the air
  • Pulling a red ball out of a bucket of red and white balls
  • Winning a lucky draw
  • Of all the events in a sample space adds up to 1
4 0
2 years ago
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