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2 years ago

Fine the length of the hypotenuse of a Right triangle with legs pf 20cm and21cm

Mathematics

1 answer:

Arisa [49]2 years ago

3 0

Hypotenuse² = perpendicular² + base²

H² = 20²+21²

H²= 400+441 = 841

H = √841

H = 29 cm

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MaRussiya [10]

Answer:

$y=-\frac{1}{4}x+2$

Step-by-step explanation:

Hi there!

What we need to know:

Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when x is 0)
Parallel lines always have the same slope

1) Determine the slope of line S using line R (m)

$y=-\frac{1}{4} x+3$

We can identify clearly that the slope of the line is $-\frac{1}{4}$ , as it is in the place of m. Because parallel lines always have the same slope, the slope of line S would also be $-\frac{1}{4}$ . Plug this into $y=mx+b$ :

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2) Determine the y-intercept of line S (b)

$y=-\frac{1}{4}x+b$

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Subtract 1 from both sides to isolate b

$3-1=1+b-1\\2=b$

Therefore, the y-intercept is 2. Plug this back into $y=-\frac{1}{4}x+b$ :

$y=-\frac{1}{4}x+2$

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2 years ago

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7nadin3 [17]

Answer:

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Step-by-step explanation:

First, we can start out by finding the slope of Line M and Line N. The slope formula is (y_2 - y_1)/(x_ 2- x_1)

Slope of Line M:

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The slope of Line N is -1!

Since the slopes of Line N and M are different, they intersect. The answer is Yes, lines M and N intersect because their slopes are different.

If the slopes were the same, Line N and M would NEVER intersect because they are parallel.

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3 years ago