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3 years ago

Find the equation of the line that passes through (1,3) and is perpendicular to y=1−2x. Leave your answer in the form y=mx+c

Mathematics

1 answer:

IgorLugansk [536]3 years ago

7 0

Answer:

The equation of the line that passes through (1,3) and is perpendicular to y=1−2x is y=1/2x+5/2

Step-by-step explanation:

We can rewrite the original equation as y=-2x+1

To find an equation's perpendicular slope, you take the reciprocal of it and negate it, therefore the perpendicular slope is -2 -> 1/-2 -> 1/2

So far, we have y=1/2x+b, but to find the y-intercept, b, we would need to plug in (1,3) and solve for b:

y=1/2x+b

3=1/2(1)+b

3=1/2+b

5/2=b

Therefore, your final equation is y=1/2x+5/2

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Answer:

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3 years ago

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Answer:

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Step-by-step explanation:

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3 years ago

Simplify 7 – (–12) – 5

kherson [118]

Answer:

Step-by-step explanation:

1. Do the "Two Mark" Rule

- 7 + (+12) - 5

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3 years ago

In the United States, there are 59 different species of mammals that are endangered,

jolli1 [7]

Given Information:

Number of endangered mammal species = 59

Number of endangered bird species = 75

Number of endangered fish species = 68

Required Information:

Probability of either a mammal or a fish = ?

Answer:

P(mammal or fish) = 127/202 = 0.6287 = 62.87%

Step-by-step explanation:

We want to randomly select one animal and find out the probability of either a mammal or a fish.

The total number of endangered species of animals is given by

Total animals = mammal species + bird species + fish species

Total animals = 59 + 75 + 68 = 202

The probability of selecting a endangered mammal is

P(mammal) = no. of endangered mammal/total no. of endangered animals

P(mammal) = 59/202

The probability of selecting a endangered fish is

P(fish) = no. of endangered fish/total no. of endangered animals

P(fish) = 68/202

Finally, the probability of selecting either a mammal or a fish is

P(mammal or fish) = 59/202 + 68/202

P(mammal or fish) = 127/202

P(mammal or fish) = 0.6287

P(mammal or fish) = 62.87%

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3 years ago

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soldi70 [24.7K]

15 times 3 equals 45 hoped i helped

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Read 2 more answers