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2 years ago

Write an equation in slope-intercept form of the line that passes throught the point and given slope:

Mathematics

1 answer:

ludmilkaskok [199]2 years ago

6 0

y = mx + b
5 = 12(-3) + b
5 = -36 + b
b = 41

y = -3x + 41

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Which of the following equations is in equation formed when completing the square on y^2 - 12 y= -27

bogdanovich [222]

Answer:

$(y-6)^2=9$

Step-by-step explanation:

Given

$y^2 - 12y = -27$

Required

Get equivalent expression using completing the square

<em>Follow these steps:</em>

<em>Take the coefficient of y; That is -12</em>

<em>Divide it by 2; That is (-12/2)</em>

<em>Square it: (-12/2)^2</em>

<em />

Add to both sides of the equation

$y^2 - 12y + (\frac{-12}{2})^2= -27 + (\frac{-12}{2})^2$

$y^2 - 12y + (-6)^2= -27 + (-6)^2$

$y^2 - 12y + 36= -27 + 36$

$y^2 - 12y + 36= 9$

Expand the right-hand side

$y^2 - 6y - 6y + 36= 9$

Factorize:

$y(y-6)-6(y-6) =9$

$(y-6)(y-6)=9$

$(y-6)^2=9$

5 0

2 years ago

The table below shows the outputs y for different inputs x:

Nutka1998 [239]

Part A: The table does not represent y as a function of x. We can not input 1 and get 4 and 2 as outputs ( or input 3 and get 12 and 6 as outputs ).
Part B : f (120) is a cost for renting a peddleboat for 120 hours;
f (120) = 20 + 10 * 120 = 20 + 1,200 = 1,220.

3 0

3 years ago

The 3 sides of a triangle have lengths of (4x+3) cm, (2x+8) cm, and (3x-10) cm. What is the length of the shortest side if the p

galina1969 [7]

Answer:

The shortest sides is 3x-10

Step-by-step explanation:

This is because if you do the algebra which is 4x+3+2x+8+3x-10=136, x=15. Now that you have 15 you plug it into each sides x value. First, 4x+3= 4*15+3=63

Second, 2x+8=30+8=38

Lastly, 3x-10=45-10=35

So, as you can see here 35 is the lowest value which means the side (3x-10) is the shortest.

3 0

3 years ago

Subtract 8.3 – 2.57 =

likoan [24]

Answer:

5.73

Best of luck

Step-by-step explanation:

4 0

2 years ago

The difference between 12 and ten times a number is -28

aev [14]

Answer:

Step-by-step explanation:

$n-\text{the number}\\\\12-10n=-28\qquad|\text{subtract 12 from both sides}\\\\12-12-10n=-28-12\\\\-10n=-40\qquad|\text{divide both sides by (-10)}\\\\\dfrac{-10n}{-10}=\dfrac{-40}{-10}\\\\\boxed{n=4}$

8 0

2 years ago