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Arturiano [62]
3 years ago
12

Which equation in slope intercept form represents the line that passes through (-1,5) and (5,8)

Mathematics
1 answer:
max2010maxim [7]3 years ago
4 0
Find slope
slope between (x1,y1) and (x2,y2) is (y2-y1)/(x2-x1)
given
(-1,5) and (5,8)
slope=(8-5)/(5-(-1))=3/(5+1)=3/6=1/2

y=1/2x+b
sub a point
(-1,5)
x=-1, y=5
5=1/2(-1)+b
5=-1/2+b
add 1/2
5 and 1/2=b

y=1/2x+5 and 1/2
y=1/2x+11/2
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Which equation shows that z is directly proportion to the cube of x and inversely
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Answer:

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Step-by-step explanation:

Given that z is directly proportional to x³ and inversely proportional to y²

Then the equation relating them is

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3 0
3 years ago
A police officer records the speeds of vehicles on a road. What percent of the vehicles were traveling between 41 and 45 miles p
olya-2409 [2.1K]

Answer:

28%

Step-by-step explanation:

Here is the missing table from the question:

Speed (mph) Number of Vehicles

36-40                2

41-45               14

46-50               18

51-55               12

56-60                4

Given: A police officer records the speeds of vehicles on a road.

Now, finding the percent of vehicles traveling between 41 and 45 miles per hour.

First, calculating the total number of vehicles.

Total vehicles= 2+14+18+12+4= 50

Vehicles travelling at speed of 41-45 mph= 14

Formula;  percent of vehicles traveling between 41 and 45 mph= \frac{vehicles\ travelling\ 41-45\ mph}{Total\ number\ of\ vehicles} \times 100

⇒ Percent of vehicles traveling between 41-45 mph= \frac{14}{50} \times 100= 14\times 2

∴ Percent of vehicles traveling between 41-45 mph is 28%

4 0
3 years ago
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erastova [34]

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D

Step-by-step explanation:

3 0
3 years ago
What is the surface area of the pyramid
Shalnov [3]

Answer:

S= 36.76

Step-by-step explanation:

S = area of base +(base of perimeter*Slant height)*1/2

S = 4*4+((4+4+4)/2)*3.46

S = 16+((12/2)*3.46)

S = 16+6*3.46

S = 16 + 20.76

S = 36.76 cm^2

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3 years ago
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4/12 are vanilla or 2/6 8/12 are chocolate or 4/6
6 0
3 years ago
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