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3 years ago

What is the equation of the line in point slope form given a slope of -3 and a point of (-2,-5)?

Mathematics

1 answer:

Lelu [443]3 years ago

7 0

Answer:

y = -3x - 11

Step-by-step explanation:

Use the given slope and point in the point-slope equation. Solving this will give us the y-intercept equation.

Point-slope formula: y - y = m(x - x)

Plug in the slope and point

y - (-5) = -3(x - (-2))

Subtracting negatives will make them positive. Multiply out the -3 to what is in the parentheses.

y + 5 = -3x - 6

Subtract the 5 from both sides

y = -3x - 11

The equation of the line is y = -3x - 11

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The price of a watch was increased by 20% to £162. <br> What was the price before the increase?

Inessa [10]

Answer:

The answer is 135

Step-by-step explanation:

We can use formula: 162...120% since the price was increased by 20% which means it is 120%

So: 162...120%

x.... 100%

120x = 16200 => x = 135

4 0

3 years ago

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Stolb23 [73]

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3 years ago

Help plz i really appreciate it

yuradex [85]

Answer:

Variant A

Step-by-step explanation:

1)y= - 3x+1

2)y+5= - 3(x-2)

y+5= - 3x+6

y= -3x+1

They are equal

6 0

3 years ago

A large rectangular movie screen in an IMAX theater has an area of 8,364 square feet. Find the dimensions of the screen if it is

jeyben [28]

Answer:

The dimensions of the screen are

Length:102 feet

Width: 82 feet

Step-by-step explanation:

we know that

The area of the rectangle (movie screen) is equal to

$A=LW$

where

L is the length

W is the width

we have

$A=8,364\ ft^2$

$8,364=LW$ ----> equation A

The screen is 20 feet longer than it is wide.

$L=W+20$ ---> equation B

substitute equation B in equation A

$8,364=(W+20)W$

solve for W

$8,364=W^2+20W\\W^2+20W-8,364=0$

solve the quadratic equation by graphing

the solution is W=82 ft

see the attached figure

Find the value of L

$L=82+20=102\ ft$

therefore

The dimensions of the screen are

Length:102 feet

Width: 82 feet

7 0

4 years ago

Negative nine is greater than or equal to the sum of two - fifths times a number and 9.

Bumek [7]

Answer:

W is either -22.5, or less than -22.5

Step-by-step explanation:

-9>=2/5 times w (I wasn't sure what you meant by "and" 9. Like 9w?)

W has to be a negative number, or else it would be greater than 9, which would make the equation wrong.

2/5 times -22 1/2=-9. So w can be -22 1/2 or -22.5

W can then be anything "lower" (on the left side) of -22.5.

W<-22.5

5 0

3 years ago

What is the equation of the line in point slope form given a slope of -3 and a point of (-2,-5)?​

What is the equation of the line in point slope form given a slope of -3 and a point of (-2,-5)?