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Lana71 [14]
3 years ago
14

A line segment AB has the coordinates A (2,3) and B ( 8,11). Answer the following question. What is the slope of AB?

Mathematics
2 answers:
vivado [14]3 years ago
8 0

Answer: The slope is m = 4/3

Vlad [161]3 years ago
5 0

Answer:

4/3

Step-by-step explanation:

(Y2-y1)/(x2-×1) is slope for 2 points

(11-3)/(8-2)

11-3=8

8-2=6

8/6=4/3

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Lines l and m are parallel
soldi70 [24.7K]

Answer:

  • m∠ABC = 15°

Step-by-step explanation:

<u>Given</u>

  • m∠ABC = x°
  • m∠BCD = 25°
  • m∠CDE = 55°
  • m∠DEF = 3x°

Add two more parallel lines passing through points C and D.

Consider alternate interior angles formed by the four parallel lines.

<u>The angles between the two middle lines are equal to:</u>

  • m∠BCD - m∠ABC  = m∠CDE - m∠DEF

<u>Substitute values and solve for x:</u>

  • 25 - x = 55 - 3x
  • 3x - x = 55 - 25
  • 2x = 30
  • x = 15

m∠ABC = 15°

4 0
3 years ago
A rectangle with an area of 120 in 2 has a length 8 inches longer than two times its width. What is the width of the rectangle?
nlexa [21]

width = x

length = 2x+8

area = l x w

x<span>(2x+8)</span>=120

<span><span>2<span>x^2</span>+8x−120=0 </span> </span>

<span><span><span>x^2</span>+4−60=0 </span></span>

<span><span><span>(x+10)</span><span>(x−6)</span>=0</span> </span>

<span><span>x=−10 and x=6 </span></span>

<span><span> width has to be a positive number</span></span>

Width = <span>6 </span> inches.

5 0
3 years ago
A flying disc was originally marked at 5$ and has been sold at $3.50. What was the percent of discount?
Otrada [13]

Answer:

30%

Step-by-step explanation:

Percentage discount

=  \frac{discount}{original \: price}  \times 100\% \\  =  \frac{5 - 3.50}{5}  \times 100\% \\  = 30\%

☆ Discount= original price -selling price

7 0
2 years ago
Find the missing lengths of the sides.
Irina18 [472]

Answer:

The choice third ; a=9 , c= 18

Step-by-step explanation:

\sin(60)  =  \frac{9 \sqrt{3} }{c} \\  \\ c = 18

\tan(30)  =  \frac{a}{9 \sqrt{3} }  \\  \\ a = 9

3 0
2 years ago
Identify the vertex, focus, and directrix. y=1/8y^2
Brut [27]
If all the equations for the directrix are "x = " lines then this is a y^2 parabola.  The actual equation is x= \frac{1}{8}y^2.  The standard form for a positive sideways-opening parabola is  (y-k)^2=4p(x-h).  We know from the equation that the vertex of the parabola is at the origin, or else the translation would be reflected within the parenthesis in the equation.  Our equation has no parenthesis to indicate movement from the origin.  The vertex is (0, 0).  Got that out of the way.  That simplifies our standard form down to  y^2=4p(x).  Let's take a look at our equation now.  It is  x= \frac{1}{8}y^2.  We could rewrite it and make it a closer match to the standard form if we multiply both sides by 8 to get rid of the fraction.  That gives us an equation that looks like this:  y^2=8x.  That means that 4p = 8, and p = 2.  p is the distance that the focus and the directrix are from the vertex.  Since this is a positive parabola, it opens up to the right.  Which means, then, that the focus is to the right of the vertex, 2 units to be exact, and the directrix is 2 units to the left of the vertex.  The formula for the focus is (h + p, k).  Our h is 0, our k is 0 and our p is 2, so the coordinates of the focus are (2, 0).  Going 2 units to the left of the origin then puts our directrix at the line x = -2.  Your choice then as your answer is b. 
6 0
3 years ago
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