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3 years ago

Applying the Pythagorean Theorem Warm-up What is the value of x? 10 8

Mathematics

1 answer:

sukhopar [10]3 years ago

8 0

Answer:

Step-by-step explanation:

According to pythagorean theorem

a² = b² + x²

a is the hypotenuse

b and x are the opposite and adjacent

Let a = 10

b = 8

Substitute and get x:

10² = 8²+x²

x² = 10²-8²

x² = 100-64

x² = 36

x = √36

x = 6

<em>Hence the value of x is 6</em>

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3 years ago

Which number is a factor of 24 but not a multiple of 6

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Step-by-step explanation:

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Step-by-step explanation:

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2 years ago

What is the exact distance from (-5,1) to (3,0).

Ilya [14]

Answer:

The distance between the two points is $\sqrt{65} \ \text{units}.$

Step-by-step explanation:

In order to find the distance between two coordinate pairs, we can use the distance formula:

$\displaystyle \bullet \ \ \ d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Our coordinate pairs need to be labeled accordingly, so we can use this naming system:

$\bullet \ \ \ (x_1, y_1), (x_2, y_2)$

This assigns a name to our points:

$x_1 = -5$
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$y_2 = 0$

Therefore, we can plug these into the formula and solve:

$d=\sqrt{(3-(-5))^2+(0-1)^2}\\\\d=\sqrt{(8)^2+(-1)^2}\\\\d=\sqrt{8^2+1^2}\\\\d=\sqrt{64+1}\\\\d=\sqrt{65}$

Therefore, the distance between the two points is $\sqrt{65} \ \text{units}$ .

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2 years ago

Applying the Pythagorean Theorem Warm-up What is the value of x? 10 8​

Applying the Pythagorean Theorem Warm-up What is the value of x? 10 8