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Fittoniya [83]
3 years ago
5

Write (-3, -5) (-1, -19) in point slope form

Mathematics
1 answer:
stiv31 [10]3 years ago
8 0

Answer:

(y + 5) = -7(x + 3)

Step-by-step explanation:

Point Slope Form:  (y - y1) = m(x - x1)

<u>Step 1:  Find Slope</u>

m = \frac{y2 - y1}{x2 - x1}

m = \frac{-19 - (-5)}{-1 - (-3)}

m = \frac{-19 + 5}{-1 + 3}

m = \frac{-14}{2}

m = -7

<u>Step 2:  Put into point slope form</u>

Point Slope Form:  (y - y1) = m(x - x1)

(y - (-5)) = -7(x - (-3))

(y + 5) = -7(x + 3)

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The number of chairs on a ski lift is inversely proportional to the distance between them a lift has 70 chairs when there’s spac
zhannawk [14.2K]

Answer:

Space between 80 evenly spaced chairs = 21m

Step-by-step explanation:

So, according to the given statement, we have the following expression:

No. of chairs ∝ \frac{1}{Distance.Between.chairs}

70 chairs are 24m apart, so it can be written as:

70  ∝ \frac{1}{24}

For, 1 chair , we divide both sides by 70

\frac{70}{70} ∝ \frac{1}{24(70)}

1 ∝ \frac{1}{24 (70)}               -----------------------(Equation 1)

<u>For 80 chairs:</u>

Multiply both sides of <em>Equation.1</em> by 80

80  ∝ \frac{80}{24 (70)}      

80  ∝ \frac{1}{21}      

So according to the above relation,

<em>80 evenly spaced chairs will have a space of </em><em>21 m</em><em> between them.</em>

7 0
3 years ago
3. Find the selling price for a $700 computer if the store has a 30% markup rate.
MArishka [77]

Answer:

$910

Step-by-step explanation:

700 x 0.30 = 210

700 + 210 = $910

4 0
2 years ago
Please help it’s easy, State the property that is used. 10=10•1
Molodets [167]

The property identity of multiplication is applied in the given statement.

<h3>Properties of Multiplication</h3>

The properties of multiplication are:

  • Distributive:  a(b±c)=  ab±ac
  • Comutative:   a . b = b. a
  • Associative:    a(b+c)=  c(a+b)
  • Identity: b.1=b

From the property identity, you know that the product between any number by the number 1 equals that number. Example: 3 • 1=3.

The question shows 10=10•1. Like, it was shown previously, this occurs due to the identity property of multiplication.

Read more about the identity property here:

brainly.com/question/23977324

#SPJ1

5 0
1 year ago
Which expression represents the number 5i4+2i3+8i2+−4  rewritten in a+bi  form?
aniked [119]
Remember
i²=-1 so
i³=-i
i⁴=1

so
5i⁴+2i³+8i²-4
5(1)+2(-i)+8(-1)-4
5-2i-8-4
-7-2i is the form
8 0
3 years ago
Read 2 more answers
Given a graph, with no equation, how can you graph the inverse?
patriot [66]

There are two different ways you can do this, I have provided both below.

Answer: You can switch all the x and y coordinate values.

   For example, if you have (2, 1) you would graph (1, 2).

       Another example, if you have (677, 83) you would graph (83, 677)

Answer: Flip the graph over the line of y = x

   I have attached an example from<em> lumenlearning.com</em>.

4 0
2 years ago
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