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3 years ago

Which expression represents the phrase the sum of twice a number and 7

Mathematics

1 answer:

bixtya [17]3 years ago

3 0

Answer:

2n+7

Step-by-step explanation:

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Line 1 passes through the points A(-15,-8) and B(-3,0). Line 2 has

Katyanochek1 [597]

Answer:

The equation of line 3 is;

y = $\frac{2}{3} x$ + 6

Step-by-step explanation:

Line 1 passes through the points A(-15,-8) andn B(-3,0)

Line 2 has equation shown below;

5x - 3y + 18 = 0

Line 3 is parallel to line 1 and has the same y-intercept as line 2.

We are to determine the equation of line 3.

Equation of line 1:

Slope = change in y-axis ÷ change in x-axis

The slope of line 1 = $\frac{0 - -8}{-3 - -15} = \frac{8}{12} = \frac{2}{3}$

Picking another point (x,y) on the line;

Slope = $\frac{y - 0}{x - -3} = \frac{2}{3}$

y = $\frac{2}{3} x$ + 2 (this is the equation of line 1)

Equation of line 2:

We put the equation given, of line 2, in the cartesian plane format;

3y = 5x + 18

y = $\frac{5}{3} x$ + 6

Finally, the equation of line 2 is;

y = 1 $\frac{2}{3} x$ + 6

Equation of line 3:

Given: Line 3 is parallel to line 1

The slopes of two parallel lines are the same so line 3 has a slope of $\frac{2}{3}$

Given: Line 3 has the same y-intercept as line 2

The y-intecept of line 2 is 6 (y-intercept is the value of y when x = 0)

So the equation of line 3 is;

y = $\frac{2}{3} x$ + 6

3 0

2 years ago

Find all the missing measurement

Allushta [10]

H 32 and k is 50 this is right because I had this and passed.

6 0

2 years ago

An electric company charges an initial monthly fee for service and a fixed rate per kilowatt-hours (kWh) used. This table shows

Vlada [557]

Here we are required to determine the initial monthly fee charged by the electric company.

The initial fee charged by the electric company is; C = $10

To solve this, we need to evaluate the slope and intercepts of the equation of the straight line graph of the relation.

y = mx + c.

where m = slope of the relation.

and c = intercept = the initial fee charged by the electric company.

y = Monthly charge at each time.

x = Usage

To find the slope;

m = (y2 - y1)/(X2 - x1)

m = (28 -22)/(150 - 100)

m = 6/50

m = 0.12.

By substituting m into the equation y = mx + c, alongside a pair of values of usage and monthly charge, we can obtain the intercept, c (i.e the initial fee charged).

Therefore, m = 0.12 , y = 82 and X = 600;

we then have;

82 = 0.12(600) + c.

C = 82 -72

C = $10.

Therefore, the initial fee charged by the electric company is; C = $10.

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8 0

2 years ago

Find the LCM of this set of numbers. 135 and 225

Gennadij [26K]

Answer:675

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Pi + pi/2 bằng bao nhiêu

ki77a [65]

3/2pi nha má, bấm máy đi

8 0

3 years ago