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rodikova [14]
2 years ago
7

Find the equation of a line that is parallel to the line x= - 3 and contains the point (-8,6)

Mathematics
1 answer:
jeyben [28]2 years ago
5 0

m =  \frac{y - y1}{x - x1}  \\  - 3 =  \frac{y - 6}{x - ( - 8)}  \\  - 3 =  \frac{y - 6}{x + 8} \\ y - 6 =  - 3(x + 8) \\ y - 6 =  - 3x - 24 \\ y =  - 3x - 24 + 6 \\ y =  - 3x - 18

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(Picture) easy expressions and equations
Allisa [31]

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6 0
2 years ago
Could you help me on this please !
Sergeu [11.5K]

Answer:

1 is allowed on the elevator.

2 is allowed on the elevator.

3 is allowed on the elevator.

4 is not allowed on the elevator.

5 is allowed on the elevator.

Step-by-step explanation:

If the maximum weight capacity of the elevator is 750 pounds, then that means every weight that is 750 pounds or less is allowed on the elevator.

1 is allowed because 700lbs is lower than 750lbs, therefore it is safe.

2 is allowed for the same reason, 620lbs is lower than 750lbs.

etc, etc.

So that's all you need to look for :)

4 0
3 years ago
Rewrite the equation y^2 – 4y – 2x – 4 = 0 in standard form.
patriot [66]

y² - 4y - 2x - 4 = 0

<u>            +2x +4 </u>   <u>+2x + 4 </u>

y² - 4y              = 2x + 4

<u>             +4    </u>      <u>       +4 </u>      

 (y - 2)²          = 2x + 8

<u>              -8   </u>      <u>      -8 </u>

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\frac{(y - 2)^{2}}{2} - \frac{8}{2} = \frac{2x}{2}

\frac{1}{2}(y - 2)² - 4 = x

x = \frac{1}{2}(y - 2)² - 4

<em>Note: this is a parabola whose axis of symmetry is y = 2 and vertex is (-4, 2)</em>

8 0
3 years ago
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kirill115 [55]

Answer:

(3,-1)

Step-by-step explanation:

1) Solve equation for y

2) Plug into other equation

3) Solve for x

4) Plug in the value found for x

5) Solve for y

5 0
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Carson uses cubes to make a pattern of shapes. The first shape has a height of
KIM [24]

Answer:

The length of each shape will alternate  between even numbers and odd

numbers.​

Step-by-step explanation:

A cube is a 3 dimensional object that has equal length, width and height. It is has area of a cube.

Carson uses 2 cubes for the height and length for a start. He adds 1 cube to the length and height with respect to each stage. Since the length of each cube is the same, then consistent addition increases the length by same factor.

The length of each cube equals 1 unit, then he starts with 2 (length equals 2 units), next stage add 1 to make up 3(length equals 3 units). He add another 1 more for another stage to make up 4 (length equals 4 units)... This addition continues depending on the number of stages required.

Therefore, it can be deduced that the length of each shape will alternate

between even numbers and odd  numbers.

8 0
2 years ago
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