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Katen [24]
3 years ago
10

Find the slope of the line represented by the data below

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
7 0

Answer:

Slope = -4

Step-by-step explanation:

Let us solve the question

∵ The slope of the line is m = Δy/Δx

∵ Δy is the change of y ⇒ Δy = y2 - y1

∵ Δx is the change of x ⇒ Δx = x2 - x1

→ Choose from the table x1, y1 and x2, y2

∵ x1 = -3 and y1 = 12

∵ x2 = -2 and y2 = 8

→ Use them to find Δx and Δy

∵ Δx = -2 - (-3) = -2 + 3 = 1

∴ Δx = 1

∵ Δy = 8 - 12 = -4

∴ Δy = -4

→ Use them to find the slope

∵ m = Δy/Δx

∴ m = \frac{-4}{1}

∴ m = -4

∵ m is the slope of the line

∴ The slope of the line is -4

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If the diameter of circle O is 20 and CE = 4, then determine the length of AB. Show how you arrived at your answer.
Aneli [31]

Answer:  Length of AB is 16 cm

Step-by-step explanation:

Given: Diameter of a circle is 20 cm and CE = 4 cm

Now as shown in figure AO, BO, CO are radii

\text { Radius } =\dfrac{\text {Diameter}}{2} = \dfrac{20}{2} = 10 cm

Therefore

AO=BO=CO= 10 cm

Now

OE = CO- CE  \Rightarrow OE= 10 -4 = 6 cm

Now in Δ OEB

∠OEB =90°

Therefore by Pythagoras theorem : In a right angle triangle the square of hypotenuse is equal to the sum of square of other two sides.

So we have

BO^2=BE^2+EO^2\\\\\Rightarrow 10^2= BE^2 +6^2\\\\\Rightarrow BE^2= 100-36\\\\\Rightarrow BE^2 = 64 \\\\\Rightarrow BE= 8 cm

Now as we know perpendicular to the chord from the center of a circle bisect the chord.

Therefore

AB= 2\times BE = 2\times 8=16 cm

Hence , the  length of AB is 16 cm .

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How can you use equations to model problems about unknown numbers?
Aleks04 [339]

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8 0
3 years ago
How to find a,b and c
alina1380 [7]
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33(a+44) = 44*54
33a+ 1452 =  2376
33a = 924
    a = 28

c = sqrt (33^2 + 44^2)
c = sqrt(1089 + 1936)
c = sqrt(3025)
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33/54 = 55/(b+55)
33(b+55) = 55*54
33b+ 1815 =  2970
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answer
a = 28, b = 35, c = 55
3 0
3 years ago
Please help and thank you
egoroff_w [7]

Answer:

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Step-by-step explanation:

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7 0
3 years ago
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