2 years ago

Find the GCF of each set of numbers 150, 200, and 300

Mathematics

1 answer:

jolli1 [7]2 years ago

3 0

Your GCF is 50 of each set of numbers

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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

the graph of the equation below is a circle. what is the length of the radius of the cirlce? (x+5)2+(y+7)2=21^2

zloy xaker [14]

the radii would equal 7.5

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3 years ago

Solve 2(3-a)=18 for a

Alinara [238K]

Answer:

a=-6

Step-by-step explanation:

2(3-a)=18

3-a=18/2

3-a=9

a=3-9

a=-6

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3 years ago

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Answer:

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Step-by-step explanation:

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2 years ago

Please help.<br> Algebra.

Anuta_ua [19.1K]

Answer:

The answer is sometimes.

If the two lines have the same slope, then there will be 0 solutions, and if the two lines are the same, then there will be infinite solutions.

Hope this helps!

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3 years ago