3 years ago

State the quadrant or axis that each point lies in. (-5,2)

Mathematics

1 answer:

charle [14.2K]3 years ago

7 0

The point lies in the second quadrant

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at the drive in it cost 5 dollars per vehicle plus 2 dollars per person in the vehicle construct an equations from this informat

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Step-by-step explanation:

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3 years ago

Find the equation of the line that contains the given point and the given slope. Write the equation in slope-intercept form.

stealth61 [152]

The slope-point form of a line:

$y-y_0=m(x-x_0)$

The slope-intercept form of a line:

$y=mx+b$

$m=6,\ (4,\ 1)\to x_0=4,\ y_0=1$

Substitute

$y-1=6(x-4)\qquad|\text{use distributive property}\\\\y-1=6x-24\qquad|\text{add 1 to both sides}\\\\\boxed{y=6x-23}$

$m=-5,\ (6,\ -3)$

Substitute

$y-(-3)=-5(x-6)\qquad|\text{use distributive property}\\\\y+3=-5x+30\qquad|\text{subtract 5 from both sides}\\\\\boxed{y=-5x+24}$

$m=-\dfrac{1}{2},\ (-8,\ 2)\\\\y-2=-\dfrac{1}{2}(x-(-8))\\\\y-2=-\dfrac{1}{2}(x+8)\\\\y-2=-\dfrac{1}{2}x-4\qquad|\text{add 2 to both sides}\\\\\boxed{y=-\dfrac{1}{2}x-2}$

$m=0,\ (-7,\ -1)\\\\y-(-1)=0(x-(-7))\\\\y+1=0\qquad|\text{subtract 1 from both sides}\\\\\boxed{y=-1}$

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3 years ago

What is the value of 16 - 3k + 5 when k = 4?

DENIUS [597]

Answer:

Step-by-step explanation:

Substitute 4 as k into the equation.

16 - 3(4) + 5

simplify

16 - 12 + 5

4 + 5

The answer is 9.

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3 years ago

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66.67%

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