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docker41 [41]
3 years ago
5

Write an equation for the line in slope-intercept

Mathematics
1 answer:
statuscvo [17]3 years ago
3 0

Answer:

y = 3x + 5

Step-by-step explanation:

Find the slope using two points on the line, say, (0, 5) and (-3, -4):

Slope (m) = ∆y / ∆x = (-4 - 5) / (-3 - 0) = -9/-3

m = 3

Find y-intercept (b):

y-intercept (b) is the value of y when x = 0. At this point, the line intercepts the y-axis.

When x = 0, y = 5

y-intercept (b) = 5

Write the equation by substituting m = 3 and b = 5 into y = mx + b

Thus:

y = 3x + 5

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Taken time is from 11.00 am to 2.30 pm (14.30) = 14.30 - 11 = 3.30 hours

We know that D = S* T (D - distance, S - speed , T- time)

So, D= \frac{5km}{h}*3.5h=\boxed {17.5 hours}
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3 years ago
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A rectangular pool 12 meters by 8 meters is surrounded by a walkway of width x meters. At what
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X=3

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broderick had 420 dollars in his checking account he made 6 deposits of 35.50 each.He needs to write 4 checks for 310.75 each.Wh
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Type the correct answer in each box. Round your answers to two decimal places. Subtract vector v = <2, -3> from vector u =
expeople1 [14]

u - v = <5, 2> - <2, - 3> = <5 - 2, 2 + 3> = <3, 5>

given a vector <u, v> then the magnitude is √ (u² + v² ) and it's angle of direction is

θ = tan^{-1}(\frac{v}{u})

thus the magnitude of <3, 5> = √(3² + 5²) = √34 ≈ 5.83 ( to 2 dec. places )

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3 0
3 years ago
Explain how you would get the answer please
kompoz [17]
To find the intersection points, you take x^2 - 4x + 9 = -2x + 17

This gives x^2 - 2x - 8 = 0,

which factorises to (x - 4)(x + 2) = 0, giving the solutions x = 4 or x = -2

From the graph, we can see that x is positive, meaning x = 4, so a = 4.

Substituting x = 4 into y = -2x + 17, we get y = -2(4) + 17 = 9, so b = 9.

a + b = 4 + 9 = 13. The answer is B.
3 0
3 years ago
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