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3 years ago

Given A(8,3), B(4,8), C(4,4) and D(8,-1) find the slope of AB

Mathematics

1 answer:

Snezhnost [94]3 years ago

4 0

Answer:

Step-by-step explanation:

Slope: $\frac{y_2-y_1}{x_2-x_1}$ when the given points are $(x_1,y_1)$ and $(x_2,y_2)$

Plug in A(8,3) and B(4,8)

$=\frac{8-3}{4-8} \\=\frac{5}{-4}\\=-\frac{5}{4}$

Therefore, the slope of AB is $-\frac{5}{4}$ .

I hope this helps!

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Justify each step in solving the equation 5(y+3)-11=-y-6 by writing a reason for each statement.

liubo4ka [24]

Explanation:

5(y+3)-11=-y-6 Given

5(y+3)=-y+5 . . . . addition property of equality (11 is added)

5y+15=y+5 . . . . . distributive property (5 is distributed)

5y=-y-10 . . . . . . . addition property of equality (-15 is added)

6y=-10 . . . . . . . . . addition property of equality (y is added)

y=-5/3 Division Property of Equality/Reduce

6 0

3 years ago

2x - 3 > 15 or 3 + 7x < 17

Viktor [21]

Answer:

2x-3>15 and 3-7x>17 =

3-7x>17

-7x>14

x<-2

Step-by-step explanation:

Sorry this is not a proper equation. I think you meant this equation.

2x-3>15 and 3-7x>17

for this equation the answer is

3-7x>17

-7x>14

x<-2

6 0

3 years ago

Please help with the question above :)!!! ^^

zhannawk [14.2K]

(-1,-9) because if we substituted 1 into x y would be 9 and if we substituted 1/2 into x y would be 3 but if we substituted -1 into x y would be 1/9 so therefore that value is incorrect

7 0

3 years ago

How would I do this? What would it be?

Igoryamba

Answer: $x=80$

Step-by-step explanation:

By definition, the sum of the exterior angles of a polygon is 360 degrees.

Knowing this, you can write the following equation:

$(x+8)+(2x+12)+(x+20)=360$

Then, you must solve for "x" in order to find its value. To do it, you can follow these steps:

1. You need to add the like terms:

$(x+8)+(2x+12)+(x+20)=360\\\\4x+40=360$

2. Now, subtract 40 from both sides of the equation:

$4x+40-(40)=360-(40)\\\\4x=320$

3. Finally, you must divide both sides of the equation by 4. Then:

$\frac{4x}{4}=\frac{320}{4}\\\\x=80$

7 0

3 years ago

Sally can paint a room in 7 hours while it takes Steve 6 hours to paint the same room. How long would it take them to paint the

mash [69]

Sally paints at a rate of 1/7th room / hour

Steve paints at a rate of 1/6th room / hour

If they both painted together, they would paint 1/7 + 1/6 = 13/42 room/hour

so to paint the whole room, it would take 1/(13/42) = 42/13 =
<u>
3.23 hours (3 significant figures)</u>

5 0

3 years ago