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Dennis_Churaev [7]
3 years ago
5

Find the distance between the points (0, –3) and (4, 0).

Mathematics
2 answers:
Brilliant_brown [7]3 years ago
7 0

Step-by-step explanation:

d=√)(x2-x1)²+(y2-y1)²

d=√(4-0)²+(-3+0)²

d=√(4)²+(-3)²

d=√16+9

d=√25

d=25

solong [7]3 years ago
4 0

Step-by-step explanation:

➜√(4-0)^2+(0+3)^2

➜√4^2+3^2

➜√16+9

➜√25

➜5units

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In triangle XYZ, angle Y = 45º and angle Z = 60º. If XZ = 4, then what is XY?
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Answer:

XY = 4.9

Step-by-step explanation:

Given

XZ= 4

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\angle Z = 60

Required

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To do this, we make use of sine law. This is as follows:

\frac{a}{\sin\ A} = \frac{b}{\sin\ B} = \frac{c}{\sin\ C}

In this case:

\frac{4}{\sin(45)} = \frac{XY}{\sin(60)}

Cross Multiply

XY * \sin(45) = 4 * \sin(60)

XY * 0.7071 = 4 * 0.8660

Make XY the subject

XY = \frac{4 * 0.8660}{0.7071}

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3 years ago
6.1.3 quiz pythagorean theorem question 9
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Answer: 14.73

Step-by-step explanation:

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We can then apply the Pythagoras Theorem to find the length of EF.

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Then (16/3) = m(1) + b
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If we assume that the y-intercept (b) is zero, then y = mx, and 

16/3 = 1m, so that m = 16/3, and so   y = (16/3)x.
4 0
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