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3 years ago

What is the value of the hypotenuse below

Mathematics

2 answers:

Tanzania [10]3 years ago

8 0

The pythagorean theorem can be used to find any side of a right triangle. The formula is a^2+b^2=c^2. The legs are a& b. the hypotenuse is c. Let's fill in the variables. 6^2+8^2=c^2. Then square the legs. 36+64=c^2 Lets combine like terms. 100=c^2 Then, find the square root to cancel out the square on both sides. Leaving us with 10=c.

The hypotenuse is 10 centimeters long.

Dmitry [639]3 years ago

3 0

Answer:

H= 10

Step-by-step explanation:

Hypotenuse formula if you have the other 2 sides.

$\sqrt{a^{2} }+b^{2}$

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3 years ago

Finding the slope in y- intercept form 2×+7y=21

astraxan [27]

To find the slope from an equation, solve the equation for y.
The equation will have the form y = mx + b, called the slope-intercept form.
Then m = slope.

Let's solve your equation for y.

$2x + 7y = 21$

Subtract 2x from both sides.

$7y = -2x + 21$

Divide both sides by 7.

$y = -\dfrac{2}{7} x + \dfrac{21}{7}$

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3 years ago

There are some people on a train

Kitty [74]

<h3>Answer: 62</h3>

======================================================

Explanation:

18 people get off, and 21 get on

We can write the 18 as -18 to indicate a loss of 18 people. The 21 as +21 to mean we gained 21 people.

The net change is -18+21 = +3 or simply 3.

After the first stop, 3 more people are on the train compared to before reaching this stop.

If x is the number of people before the stop, then x+3 is the number of people after the stop. Set this equal to 65 and solve for x.

x+3 = 65

x = 65-3

x = 62 people were on the train to begin with.

-----------

Check:

62 people to start off

62-18 = 44 people after the 18 people get off

44+21 = 65 people after the 21 new people get on

The answer is confirmed.

7 0

2 years ago