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3 years ago

Without simplifying, identify the slope of the line given by the equation y-5=-2(x+5)

Mathematics

1 answer:

CaHeK987 [17]3 years ago

7 0

Slope is a number in front of x, so slope is (-2)

y-y1=m(x-x1)
y-5= -2(x+5)
y-5= -2(x-(-5))
so y1=5, x1=-5, a point is (x1,y1), so the point is (-5,5)

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Using Slopes of Parallel Lines Quick Check

Semenov [28]

Answer:

The answer is (B) ⇒ Yes. AB is parallel to CD and AD is parallel to BC

Step-by-step explanation:

There is an important fact about the parallel lines:

Parallel lines have equal slopes

The rule of the slope of a line is:

$m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}$ , where $(x_{1},y_{1})$ and $(x_{2},y_{2})$ are two points on the line

Let us use the fact and the rule to solve the question

∵ ABCD is a quadrilateral

∵ A = (0, 2) , B = (2, 6), C = (9, 6), D = (7, 2)

∵ The opposite sides are AB, CD and AD, BC

Find the slopes of the four sides to check the parallel sides

∵ $m_{AB}=\frac{6-2}{2-0}=\frac{4}{2}=2$

∵ $m_{CD}=\frac{2-6}{7-9}=\frac{-4}{-2}=2$

∵ The slope of AB = The slope of CD

∴ AB // CD

∵ $m_{AD}=\frac{2-2}{7-0}=\frac{0}{7}=0$

∵ $m_{BC}=\frac{6-6}{9-2}=\frac{0}{7}=0$

∵ The slope of AB = The slope of CD

∴ AD // BC

The correct answer is:

Yes. AB is parallel to CD and AD is parallel to BC ⇒ (B)

5 0

3 years ago

pls help !! I need help with these few math problems !! Ily :) PLS SIMET WITH A LINK OF A PEICE OF PAPER WITH THE WORK :)

N76 [4]

Answer:

a.) 32 miles per gallon

divide by two to get one gallon

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use the info from part a

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multiply 32 by 12 to get 12 gallons

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3 years ago

Read 2 more answers

Courtney belongs to a health club that charges a monthly fee of $20, plus $85 to join. Write a function to represent her costs.

sineoko [7]

Answer:

Step-by-step explanation:

20x+85=

20(6)+85=

120+85= $205

5 0

3 years ago

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Andru [333]

Y is 15 :)

Explanation:
If you divide 3/2, you get 1.5. 15/10 is also get 1.5

Another way of doing this is by cross multiplying. Multiply 3 by 10 to get 30 on the right side of the equation. Multiply 2 by y to get 2y. Then divide both sides by 2 and you get y = 15.

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3 years ago

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Mice21 [21]

Answer:

1) graph b

2)appears to decrease more

Step-by-step explanation:

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4 years ago