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Marina86 [1]
3 years ago
6

Find the equation of the line shown. please I need it soon as possible​

Mathematics
2 answers:
Taya2010 [7]3 years ago
6 0

Answer:

y = \frac{1}{2} x + \frac{1}{2}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (1, 1) ← 2 points on the line

m = \frac{1-0}{1-(-1)} = \frac{1}{1+1} = \frac{1}{2} , then

y = \frac{1}{2} x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (1, 1 ) , then

1 = \frac{1}{2} + c ⇒ c = 1 - \frac{1}{2} = \frac{1}{2}

y = \frac{1}{2} x + \frac{1}{2} ← equation of line

Anna35 [415]3 years ago
5 0

Answer:

Y=2x+0.5

Step-by-step explanation:

The gradient is 2/1=2x

The y-intercept looks to be around 0.5

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Answer:

<u>Oliver and Lenny reached the top of the hill at the same time</u>

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Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Oliver's speed = 5 km/h during the first half, then decreased his speed to 4 km/h during the second half.

Lenny's speed = 4 km/h during the first half, then increased his speed to 5 km/h in the second half.

2. Who reached the top of the hill first? What is the proportion of time he spent hiking to that of his friend?

Let's assume the distance from the bottom to the top of the hill is 10 kilometers for calculating the time it will take Oliver and Lenny to reach the top of the hill:

Speed = Distance/Time

Time = Distance/Speed

Oliver = Time of hiking first 5 km + Time of hiking second 5 km

Lenny = Time of hiking first 5 km + Time of hiking second 5 km

Oliver = 5/5 + 5/4

Oliver = 1 + 5/4 = 2 1/4 hours

Lenny = 5/4 + 5/5

Lenny = 5/4 + 1 = 2 1/4 hours

<u>Oliver and Lenny reached the top of the hill at the same time</u>

<u>The proportion of time Oliver spent hiking to that of Lenny is 1:1</u>

4 0
3 years ago
A dolphin is swimming 18 feet below the surface of the ocean.There is a coast guard helicopter 75.5 feet above the surface of th
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Answer: Distance between dolphin and helicopter = 93.5 feet

Explanation:

Distance at which dolphin swimming below the ocean= (-) 18 feet

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(it is represented as the positive number as it denotes the distance above the ocean)

Distance between dolphin and helicopter = 75.5 - (-18) feet

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Here are some solutions: (there are actually an infinite amount of them)

x = 0 ,  y = 7

x = 1  ,  y = 8

x = 2 ,  y = 9

x = 3 ,  y = 10

x = 4 ,  y = 11

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F(x)=-2x^2+4x+5<br> Find the critical numbers
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Answer:

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Alternatively, if you mean zeros, or where the x intersects, you can use the quadratic equation.

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Step-by-step explanation:

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