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Elza [17]
3 years ago
10

Which expression is equivalent to

Mathematics
1 answer:
maksim [4K]3 years ago
5 0
The answer is C . -7r^2 + 12r -8
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A line passes through point A (14,21). A second point on the line has an x-value that is 125% of the x-value of point A and a y-
seropon [69]

Answer:

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

Step-by-step explanation:

According to the statement, let A(x,y) = (14,21) and B(x,y) = (1.25\cdot x_{A},0.75\cdot y_{A}). The equation of the line in point-slope form is defined by the following formula:

y-y_{A} = m\cdot (x-x_{A}) (1)

Where:

x_{A}, y_{A} - Coordinates of the point A, dimensionless.

m - Slope, dimensionless.

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

In addition, the slope of the line is defined by:

m = \frac{y_{B}-y_{A}}{x_{B}-x_{A}} (2)

If we know that x_{A} = 14 and y_{A} = 21, then the equation of the line in point-slope form is:

x_{B} = 1.25\cdot (14)

x_{B} = 17.5

y_{B} = 0.75\cdot (21)

y_{B} = 15.75

From (2):

m = \frac{15.75-21}{17.5-14}

m = -\frac{3}{2}

By (1):

y-21 = - \frac{3}{2}\cdot (x-14)

The equation of the line in point-slope form is y-21 = - \frac{3}{2}\cdot (x-14).

5 0
3 years ago
IF 30 Men Car do a piece of Work in 30 days the
kiruha [24]

Answer:

let, the days for 10 men be x

  • 30/10=x/30
  • 900=10x
  • x=900/10
  • x=90

so 10 men can complete the same work in 90days.

Hope it helps.

4 0
3 years ago
Read 2 more answers
What is the product of 3x(x + 4)<br> cOf
Lyrx [107]

Answer:

3x²+12x

Step-by-step explanation:

Expand the brackets

6 0
3 years ago
Cameron bakes two pans of brownies for the school bake sale. She couldn't wait and ate 1/6 of a pan. How many pans of brownies d
torisob [31]

Answer:

1\frac{5}{6}

Step-by-step explanation:

She has one whole pan and 5/6 of a pan left.

8 0
3 years ago
a rectangular fish tank 60 centimeters by 15 centimeters by 34 centimeters is 1/3 full of water. find the volume of water needed
son4ous [18]

Answer:

20,400\ cm^{3}

Step-by-step explanation:

step 1

Find the volume of the tank

V=(60)(15)(34)=30,600\ cm^{3}

step 2

we know that

If the tank is 1/3 full of water

then

the volume of water required to completely fill the tank is equal to 2/3 of the tank capacity

so

(2/3)30,600=20,400\ cm^{3}

5 0
3 years ago
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