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adoni [48]
3 years ago
8

Write an equation in standard form that has a slip of 6 and passes through (-1,3)

Mathematics
1 answer:
tamaranim1 [39]3 years ago
7 0

Answer:

<h2>6x - y = -9</h2>

Step-by-step explanation:

The point-slope form of an equation of a line:

y-y_1=m(x-x_1)

<em>m</em><em> - slope</em>

<em>(x₁, y₁)</em><em> - point on a line</em>

<em />

We have

m=6,\ (-1,\ 3)\to x_1=-1,\ y_1=3

Substitute:

y-3=6(x-(-1))

y-3=6(x+1)

Convert to the standard form <em>Ax + By = C</em>:

y-3=6(x+1)         <em>use the distributive property </em><em>a(b + c) = ab + ac</em>

y-3=6x+6          <em>add 3 to both sides</em>

y=6x+9         <em>subtract 6x from both sides</em>

-6x+y=9          <em>change all signs</em>

6x-y=-9

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Harman [31]

Answer:

A. 2x-4y=\pi
B.  x=1

C. 2x-4y=3

Step-by-step explanation:

A. 2x-4y=\pi. Any number could work as long as the coefficients for x and y stays the same. You are basically imposing that the quantity 2x-4y (if you bring 4y to the LHS) is equal to both -3 AND \pi, or any number you like. But yesterday was 3/14 so let's pick a fun number!

B.  x=1 Or y=1. Or as long as you don't pick the same ratios of x and y you're golden. But x=1 is the easiest that comes to mind

C. 2x-4y=3. To get infinitely many solutions you just have to rewrite the equation again. Maybe move things around if you prefer, or multiply everything by a number you lile.

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2 years ago
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Airida [17]

Group up the like terms and combine them

2x^2 and -7x^2 add up to -5x^2

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We end up with -5x^2 + 8x - 2

<h3>Answer: Choice B</h3>
7 0
3 years ago
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The cone had a radius of 4.5 inches and a height of 6 inches. What is the volume of this cone?
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Answer:

125.8983

Step-by-step explanation:

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5. Find the solutions of x^2 – X-30 = 0.<br><br> please show work on how to do it
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Answer:

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Step-by-step explanation:

Factor the equation

x^2 - x - 30 = 0 ----> (x-6)(x+5)=0

Next find the solution by setting those in the paranthesis equal to zero.

x-6=0 ----> x= 6

x+5=0 ----> x= -5

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3 years ago
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