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34kurt
3 years ago
9

Can somebody help me with (a) and (b)? Thanks! :D

Mathematics
2 answers:
Pachacha [2.7K]3 years ago
6 0

Answer:

PART A:

Line m: 1/2x + 6

Line n: 1/2x - 3

PART B:

The slope is the same in both lines

MakcuM [25]3 years ago
6 0

Answer:

see explanation

Step-by-step explanation:

Since the lines are parallel they have the same slopes

Calculate the slope of line m using the slope formula

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

with (x₁, y₁ ) = (0, 6) and (x₂, y₂ ) = (2, 7) ← 2 points on the line

m = \frac{7-6}{2-0} = \frac{1}{2}

Note the line crosses the y- axis at (0, 6) ⇒ b = 6

Thus

y = \frac{1}{2} x + 6 ← equation of line m

Note for line n the line crosses the y- axis at (0, - 3) ⇒ b = - 3

Thus

y = \frac{1}{2} x - 3 ← equation of line n

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Katena32 [7]

Answer:

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5 0
3 years ago
An oil tank is leaking into a lake at a rate of 0.1 m3/day. The oil slick forms a semicircular disk whose center is at the leak
gregori [183]

Answer:

17.9  m/s

Step-by-step explanation:

Volume of the slick =  0.5 x π r² h--------------------------------- (1)

Where r = radius of slick

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V  =  0.5 x π r² h

0.5=  0.5 x  π x  r² x 10⁻⁶

r²   =  10⁶/ π

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Asumming the film thickness is constant , equation (2) becomes

dV/dt =   πrh dr/dt-------------------------------- (3)

dV/dt = 0.1m³/day

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Substituting  into (3);

0.1 =  π x 10³/√π x 10⁻⁶ x dr/dt

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8 0
4 years ago
The temperature at noon at a ski resort is 3 F . The temperature drops 8 F by midnight what is the temperature at midnight
DIA [1.3K]

Answer:

-5

Step-by-step explanation:

3 minus 8 equals -5

(20 characters needed)

4 0
3 years ago
Read 2 more answers
A line thru (5,1) with slope of 3.
VladimirAG [237]
<span>A line thru (5,1) with slope of 3

y - 1 = 3(x - 5)
y = 3x - 15 + 1
y = 3x - 14

hope it helps</span>
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3 years ago
An olympic-size swimming pool is a rectangle that measures 50 meters in length and 25 meters in width. Make a scale drawing of a
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Answer:

Length: 10 cm

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Step-by-step explanation:

8 0
3 years ago
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