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3 years ago

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What is the equation of the lines -6,-4 & 4,6

1 answer:

Jet001 [13]3 years ago

6 0

1. use the equation y -y1 = m(x-x1)
2. (-6,-4) is x1,y1 and (4,-6) is x2,y2
3. y-(-4) = m(x-(-6)
m is the gradient, 10/10, which is 1. make two negatives into a positive.
4. y+4 = x+6

therefore the equation of the lines is y = x+2

substitute the points back into the equation to double check.

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Use the distributive property to remove the parentheses.<br> -3(-6y +3w-2)

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Answer:

18y-9w+6

Step-by-step explanation:

-3*-6y=18y

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-3-2=6

so, 18y-9w+6

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2 years ago

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Complete the table of values to find the solutions of the equation -x + y = 6.

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Answer:

Answer:

<u>X l Y</u>

<u>-2 l 4</u>

<u>-1 l 5</u>

<u>0</u><u> </u><u> </u><u> </u><u> </u><u> </u><u>l</u><u> </u><u> </u><u> </u><u>6</u>

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<u>2 l 8</u>

Step-by-step explanation:

<u>X </u><u> </u><u>l </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u>Y</u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u>

<u>-2 l </u><u>-</u><u> </u><u>(</u><u>-</u><u>2</u><u>)</u><u> </u><u>+</u><u> </u><u>y</u><u> </u><u>=</u><u>6</u><u> </u><u>=</u><u>></u><u> </u><u>y</u><u> </u><u>=</u><u> </u><u>6</u><u> </u><u>-</u><u> </u><u>2</u><u>=</u><u>></u><u> </u><em><u>y</u><u> </u><u>=</u><u> </u><u>4</u></em>

<u>-1 l </u><u>- (-</u><u>1</u><u>) + y =6 => y = 6 - </u><u>1</u><u>=> <em>y = </em></u><u>5</u>

<u>0 l </u><u>- (</u><u>0</u><u>) + y =6 => y = 6 </u><u>+</u><u> </u><u>0</u><u>=> <em>y = </em></u><u>6</u>

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<u>2 l </u><u>- (</u><u>2</u><u>) + y =6 => y = 6 </u><u>+</u><u> 2=> <em>y = </em></u><u>8</u>

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Cindy is buying a new car and wants to learn how the value of her car will change over time. Insurance actuaries predict the fut

lawyer [7]

Answer:

$C=10000(0.852)^t$

Step-by-step explanation:

Let the exponential function be,

$C=a(b)^t$

Here, C = cost of the car

t = Duration or period in years

From the given table,

Two points representing cost of the car and time are (10000, 0) and (8520, 1),

For (10000, 0),

$10000=a(b)^0$

a = 10000

For (8520, 1)

8520 = $10000(b)^1$

$b=\frac{8520}{10000}$

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Therefore, exponential equation will be,

$C=10000(0.852)^t$

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