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fgiga [73]
3 years ago
7

Write the equation of the line described in point-slope form. Then, change to Standard Form. Contains points (3/2,-1/2) and (-1/

2,5/2). ?
Point slope form is y−y1 =m(x−x1) and standard form is Ax + By = C. Please explain.
Mathematics
1 answer:
larisa [96]3 years ago
4 0
Slope point form :
To put in slope point form, label any of the points as either X1,y1 and X and y, then plug in those values into the following equation form.
Y - y1 = m(X-X1)

But before, we must solve for the m value or slope.
M = y2-y1/x2-X1
M = 5/2 - -1/2 / -1/2 - 3/2.
M = 5/2 + 1/2 / -(1/2+3/2)
M = 6/2 / -(4/2)
M = 3/-2

Now we can place it in slope point and also in standard form of a line.

Y-y1 = m(X -X1)

Y - -1/2 = -3/2(X - 3/2)

Y + 1/2 = -3/2(X - 3/2)

This is in slope point form.

Y + 1/2 = -3/2x + 9/4
Y + 1/2 - 1/2 = -3/2x + 9/4 - 1/2
1/2 = 2/4
Y = -3/2x + 7/4
-3/2x = -6/4x
Y = -6/4x + 7/4
Y • 4 = 4( -6/4 X + 7/4)
4y = -6x + 7
4y + 6x = -6x + 6x +7

6x + 4y = 7

This is in standard form. If you have any questions of the steps just ask.
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tatyana61 [14]
<span>20(−1.5r + 0.75)

here, you need to distribute the "20" to the inside of your parentheses. you'll be multiplying 20 and -1.5 first:

-30r

then 20*0.75 second:

-30r + 15 is your expanded expression. you can't combine like terms any further.</span>
6 0
3 years ago
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Find the area of the entire surface of the prism. <br> 5 4 3
Vikki [24]

Answer:

A=94

Step-by-step explanation:

Length: 5

Width: 4

Height: 3

Shape: Rectangle prism

Solved for surface area

Formula: A=2(wl+hl+hw)

Formula: L*W*H

Answer: A=94

<em><u>Hope this helps.</u></em>

4 0
3 years ago
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The math club sold roses and tulips this year for Valentine's day. The number of roses sold was 8 more and 4 times the number of
Kipish [7]

Answer: 76 roses were sold.

Step-by-step explanation:

Let x represent the number of tulips that the math club sold.

Let y represent the number of roses that the math club sold.

The number of roses sold was 8 more than 4 times the number of tulips sold. This means that

y = 4x + 8

Tulips were sold for $2 each and roses for $5 each. The club made $414.00. This means that

2x + 5y = 414- - - - - - - - - 1

Substituting y = 4x + 8 into equation 1, it becomes

2x + 5(4x + 8) = 414

2x + 20x + 40 = 414

22x = 414 - 40

22x = 374

x = 374/22

x = 17

y = 4x + 8 = 4 × 17 + 8

y = 76

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3 years ago
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A nonnative fern species is introduced into an area and quickly begins to spread. The number of plants can be modeled by
ivolga24 [154]

Based on the information, there were initially 1200 ferns; the monthly percent rate of change is 68% and this situation is modeled by an exponential growth function

<h3>How to complete the information?</h3>

The given parameters from the question are:

P(n) = 1200(1.68)^n

Where

n represent the number of months

An exponential growth function is represented as:

P(n) = a * (1 + r)^n

Where

a represents the initial value

r represents the rate

By comparison, we have

a = 1200

1 + r = 1.68

This gives

r = 0.68 = 68%

Hence, there were initially 1200 ferns; the monthly percent rate of change is 68% and this situation is modeled by an exponential growth function

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Tamara says that 15÷3=5. is she correct? Explain
Alex787 [66]
There are 5 groups of 3 in the number 15, so 15/3=5
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