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DedPeter [7]
1 year ago
13

Which equation described a line parallel to the line that connects points (-8 ,9) and (3, -4)?

Mathematics
1 answer:
musickatia [10]1 year ago
8 0

Answer:

y = (-13/11)x - 5/11

Step-by-step explanation:

Where's the list of equations from which you're to choose?

The line that connects points (-8 ,9) and (3, -4) has the following slope:

          9 - (-4)

m = ----------------- = -13/11

          -8 - 3

Then the new line with this slope is y = (-13/11)x + c

and because (-8, 9) satisfies this equation, 9 = (-13/11)(-8) + c, and we need to calculate c from this.                                 9 = 104/11 + c, or

                                                                        -c = 104/11 - 99/11, or - 5/11

Then the desired equation is y = (-13/11)x - 5/11

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So the answer is v=112 sa=165

Step-by-step explanation:

Try using formulas such as 1

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7 0
3 years ago
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Can someone help me 10 points
Elanso [62]

The two angles form a right triangle which is 90 degrees.

Add the two to equal 90:

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simplify:

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3 0
3 years ago
Write an expression in simplest form that represents the area (in square feet) of the banner.
Agata [3.3K]

The area of the banner, expressed in simplest form, is: <em>(9 + 3x) ft²</em>

<h3>How to Determine the Area of a Rectangle</h3>
  • The area of a rectangle = length × width

The banner given in the image below has a rectangular shape. So, the area of the banner will be determined using the area of a rectangle.

  • length = (3 + x) ft
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Area of the banner = (3 + x)3

Area = (9 + 3x) ft²

Therefore, the area of the banner, expressed in simplest form, is: <em>(9 + 3x) ft²</em>

<em />

Learn more about area of rectangle on:

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3 years ago
What is the solution to log2 (9x)- log2^3=3?
Svet_ta [14]

Answer:

x = \frac{8}{3}

Step-by-step explanation:

Using the rule of logarithms

log x - log y = log (\frac{x}{y} )

log_{b} x = n ⇒ x = b^{n}

Given

log_{2} (9x) - log_{2} 3 = 3

log_{2} (\frac{9x}{3} ) = 3

log_{2} 3x = 3

3x = 2³ = 8 ( divide both sides by 3 )

x = \frac{8}{3}

3 0
4 years ago
The 18 faculty members in a college math department range in age from 32 to 68. A stem plot follows: The first and third quartil
valentina_108 [34]

Answer:

Q_{1}=39, \:and\: Q_{3}=58

Step-by-step explanation:

1) This Stem and Leaf plot works like a Histogram. Completing the question, check below the Stem plot. Look the data out of the Stem plot and within (in the graph below)

32, 34 , 38 , 39 , 39 , 40 , 43 , 45 , 46 , 49 , 53 , 54 , 57 , 58 , 59 , 59 , 63 , 68

2) Notice how the first digit is on the Stem column (check below)

3) To find the first and Third Quartiles

Let's use the formulas to find the position, then the value. As it follows:

Q_3=\frac{3}{4}(n+1) \Rightarrow  Q_3=\frac{3}{4}(18+1) Q_3=14.25 \approx14th =58

Q_1=\frac{(n+1)}{4} \Rightarrow Q_1=4.75 th \approx Q_1 =5th =39

4 0
3 years ago
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