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Rufina [12.5K]
3 years ago
8

Which equation represents the line that passes through (-6,7) and (-3,6)

Mathematics
1 answer:
astraxan [27]3 years ago
4 0

Answer:

x+3y=15

Step-by-step explanation:

<h2>Formula :- the equation of line which passes through the two points (x1,y1) and (x2,y2)</h2><h2>T-y1/y1-y2=x-x1/x1-x2[/tex]</h2>

therefore, the equation of the line which passes through the two points (-6,7) and (-3,6) is

y1=7,y2=6

x1=-6 ,x2=-3

by using above formula

y-7/7-6=x+6/-6+3

y-7=x+6/-3

by cross multiply

-3y+21=x+6

x+3y=21-6

x+3y=15

hence, this is required of line that passes through (-6,7) and (-3,6).

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This function has 0 real roots because it touches the x-axis 0 times.

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A caterer is making cookie trays for upcoming holiday parties. This morning she mad a 4 small trays and 4 large trays, which con
Levart [38]

Your question is not complete however, I will input what is likely to complete it.

Question:

A caterer is making cookie trays for upcoming holiday parties. This morning she mad a 4 small trays and 4 large trays, which contain a total of 288 cookies. In the evening, she made 1 small tray and 3 large trays, which contain a total of 180 cookies. How many cookies do the different sized trays contain?

Answer:

Each small tray can contain 18 cookies, while each large tray can contain 54 cookies

Step-by-step explanation:

Let assign some variables by denoting S = small trays and L = large trays

In the morning; 4S +4L = 288 --eqn 1

In the evening; 1S + 3L = 180 --eqn 2

From eqn 2, S = 180 - 3L ---eqn 3

Substitute eqn 3 into eqn 1

4(180 - 3L) + 4L = 288

720 - 12L + 4L = 288

8L = 432

L = 432/8 = 54

L = 54

Substitute L = 54 into eqn 3

S = 180 - 3L

S = 180 - 3(54)

S = 180 - 162

S = 18

Therefore, each small tray can contain 18 cookies, while each large tray can contain 54 cookies.

Note:

Use this second part of this question (my framed part of the question) to complete yours. You should get your answer adequately.

4 0
3 years ago
During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $333. The next month, 400 u
Mice21 [21]

Answer: the cost per unit of gas is $0.28

Step-by-step explanation:

Let x represent the cost per unit of electricity.

Let y represent the cost per unit of gas.

During one month, a homeowner used 500 units of electricity and 100 units of gas for a total cost of $333. This is expressed as

500x + 100y = 333 - - - -- - -- - -- -1

The next month, 400 units of electricity and 150 units of gas were used for a total cost of $286. This is expressed as

400x + 150y = 286 - - - - - - - - - --2

Multiplying equation 1 by 400 and equation 2 by 500, it becomes

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Subtracting, it becomes

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y = - 9800/- 35000

y = 0.28

Substituting y = 0.28 into equation 2, it becomes

400x + 150 × 0.28 = 286

400x = 286 - 42 = 244

x = 244/400 = 0.61

7 0
3 years ago
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