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jenyasd209 [6]
3 years ago
7

what is the equation of the line that is parallel to the given line and passes through the point (2, 3) ? a. x + 2y = 4 b. x + 2

y = 8 c. 2x + y =4 d. 2x + y = 8

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
3 0

Answer:

see explanations

Step-by-step explanation:

The given blue line has a slope of m = -1/2.

The line parallel to the given line passing through point (x0,y0)=(2,3) is given by the point-slope form:

(y-y0)=m(x-x0)

substitute values

(y-3) = (-1/2)(x-2)

Expand and transpose

y = (-1/2)x + 1 + 3

y = (-1/2)x + 4  ....................(1)

We choose the second equation b. x+2y=8 and convert to slope-intercept form:

2y=-x+8

y = (-1/2)x + 4, which is exactly equation (1)

So

b. x+2y=8 is the correct answer.

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A dozen eggs cosy $1.32 at the grocery store .how much profit would a restaurant make if the sold 1 scramble egg for 99 cent
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What we know: A dozen costs 1.32; there are 12 in a dozen.
What we need to know: How much a restaurant makes selling 1 egg at 0.99.
First, find the value of one egg; you can do that by dividing the total cost (1.32) by the amount (12):
1.32 / 12 = 0.11    <--    The cost per egg is 11 cents. To find the profit of the restaurant, just subtract the cost from the price they sell it for:
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Hope this helps.
5 0
2 years ago
Am i right or am i wrong
frutty [35]

Answer:

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6 0
2 years ago
Look at the factors of 18 and 30. What is the greatest common factor? factors of 18: 1, 2, 3, 6, 9, 18 factors of 30: 1, 2, 3, 5
kifflom [539]

Answer:

is number 6

Step-by-step explanation:

the greatest common factor is the largest common factor of those.

3 0
2 years ago
Determine which of the following equations, when graphed, intersect at the point (4, 0).
dexar [7]

Answer:

x - y = 4

x + y = 4

Step-by-step explanation:

Substitute x=4 and y=0 in every equation. If both sides of the equal sign are equal, (LS=RS, left side equals right side) then the graph intersects at (4,0).

- x - y = 4

- (4) - 0 = 4

-4 = 4

LS≠RS

x - y = 4

4 - 0 = 4

4 = 4

LS=RS

2 x + y = 7

2(4) + 0 = 7

8 = 7

LS≠RS

2 x + y = -7

2(4) + 0 = -7

8 = -7

LS≠RS

x + y = 4

4 + 0 = 4

4 = 4

LS=RS

2 x - y = 7

2(4) - 0 = 7

8 - 0 = 7

8 = 7

LS≠RS

Only x - y = 4  and x + y = 4  intersect at (4, 0).

4 0
3 years ago
The data in the table represents the volume of helium, in cubic feet, inside a balloon relative to the elapsed time in minutes.
tigry1 [53]

The slope of this linear equation that models the data indicate: B. the volume of helium in the balloon decreases at a rate of 0.1 cubic per minute.

<h3>What is a linear function?</h3>

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

<h3>What is a slope?</h3>

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

<h3>How to calculate the slope of a line?</h3>

Mathematically, the slope of any straight line can be calculated by using this formula;

Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}

Substituting the given points into the formula, we have;

Slope = (5 - 5.5)/(10 - 5)

Slope = -0.5/5

Slope = -0.1.

In conclusion, we can infer and logically deduce that the slope of this linear equation that models the data indicate the volume of helium in the balloon decreases at a rate of 0.1 cubic per minute.

Read more on linear function here: brainly.com/question/6978079

#SPJ1

7 0
9 months ago
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