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garri49 [273]
3 years ago
13

Find the slope of (-8.-4) and (-4,-9

Mathematics
2 answers:
mel-nik [20]3 years ago
8 0

Answer: -5/4

Step-by-step explanation:

Alexandra [31]3 years ago
4 0

Answer:

= -5/4

Step-by-step explanation:

To find the slope, we can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -9 - -4)/( -4 - -8)

   = ( -9 +4)/( -4 +8)

    = -5/4

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Answer: 7/26

Step-by-step explanation:

7 red and 7 blue = 14 total

7/14 or 1/2 chance of getting red first

7/13 chance of getting red the second time

7/13*1/2 = 7/26

7/26 chance

sorry if it’s wrong but I hope it helps

3 0
3 years ago
Please help 100 points and brainlest for all the answers
masha68 [24]

Answer:

See explanation

Step-by-step explanation:

Q1. The graph of given data is attached.

The relationship is directly proportional as the line connecting all points is straight line passing through the origin.

For every 1 unit change in x, the change of y is 16.

Therefore, the equation that represents this line is

y=16x

If x=10, then y=16\cdot 10=160 square feet.

Q2. Yes, the relationship shows the direct proportionality as the line connecting all points is straight line passing through the origin (see second attached graph).

For every 1 unit change in x, the change of y is 0.45.

Therefore, the equation of the line is

y=0.45x

Q3. Yes, the relationship shows the direct proportionality as the line connecting all points is straight line passing through the origin.

Find the constant of proportionality:

If x = 2, y = 25, then

when x = 1, y = 12.5

so k = 12.5

and the equation of the line is

y=12.5x

When x=14, then y=12.5\cdot 14=175

Hence, the cost of 14 tickets is $175

Q4. This table does not show the direct variation because

if x = 500 and y = 40, then

for x = 100, y is 40\div 5=8

and for x = 700, y must be 7\cdot 8=56 not 50.

Hence, this relationship does not show the direct proportionality between x and y.

Q5. This elationship shows the direct proportionality as the line connecting all points is straight line passing through the origin.

The constant of proportionality is k=1.75

The equation of proportionality is y=1.75x

When y=28, then

28=1.75x\\ \\x=\dfrac{28}{1.75}\\ \\x=16

This means for $28 you could buy 16 ice cream scoops.

Q6. The line passes through the point (2,61), so the constant of proportionality is

k=\dfrac{61}{2}=30.5

The equation of proportional relationship is

y=30.5x

When y=274.50, then

274.50=30.5x\\ \\x=\dfrac{274.5}{30.5}\\ \\x=9

This means you could buy 9 tickets for $274.50

Q7. The equation which represent proportional relationship should have the equation of the form

y=kx

Circle all equations in this form:

y=5x\\ \\p=0.5m\\ \\y=\dfrac{1}{2}x\\ \\M=3n\\ \\y=2x

Q8. A relationship between two variables in which one is a constant multiple of the other. In particular, when one variable changes the other changes in proportion to the first. If y is directly proportional to x, the equation is of the form y = kx (where k is a constant).

This means that the graph of direct variation is always a straight line passing through the origin (because x = 0 and y = 0 satisfy the equation for all k).

Not all lines represent the proportional relationship. Only those, which pass through the origin.

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Answer:

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x = weight of the object on earth

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y = k*x

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378.2 = 150k

k = 378.2/150

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y = k*x

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x = 12.64 / 2.52

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