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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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X+2&gt;7 write the solution set in interval notation
REY [17]

Answer:

(5, infinitysymbol)

Step-by-step explanation:

First solve the inequality. Subtract 2 from both sides.

x + 2 > 7

x > 5

So that is one way of writing the answer and it is hopefully kind of understandable. X>5 means all the numbers greater (bigger) than 5, forever to infinity.

Interval notation is a way of writing a set or group of numbers. Interval notation uses ( ) parenthesis or [ ] square brackets. Then two numbers go inside with a comma in between. The first number is where the set of numbers start and the second number is where the set ends. You always put parenthesis around the infinity symbol or negative infinity symbol. You only use a square bracket if the inequality symbols have the "or equal to" underline under the > or <.

So x > 5 in interval notation is:

(5, infinitysymbol)

This shows that 5 is not included in the solution; and all the numbers forever bigger than five are solutions as well.

5 0
2 years ago
HELP I only need these two problems answered
fomenos

Formula d = vt

1 3/4= 1.75

1/4=0.25


So now plug into equation

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d = (7 miles/hr)(1 hr) = 7 miles


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6 0
4 years ago
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X<-2 is the solution 
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3 years ago
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For the picture of the kite below, how would you prove that triangle BCE is congruent to triangle DCE if ∠1 is congruent to ∠2 a
aleksandrvk [35]

Answer:

∆ adc is congruent to ∆ abc by asa congruence rule where CA is common side,

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Answer:

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In this case, we have a function M(p) = $2*p

This function represents the amount of money collected depending on the number of people who ride on the ferris whell.

Then p can be only a whole number (we can not have 1.5 people, only whole numbers of people).

And we also know that the maximum capacity of the ferris is 64 people.

Then:

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And we also should add the restriction:

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Such that p should also be an integer, then, the domain is:

D: p ∈ Z, p ∈ {0, 1, 2, ..., 64}

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