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3 years ago

The hypotenuse of a 45°-45°-90° triangle measures units.What is the length of one leg of the triangle?

1 answer:

5 0

Let, length of one leg of triangle = length of other leg of triangle be Xunits

H = 1 unit

H^2 = X^2 + X^2
1×1 = 2×X^2
X^2 = 1/2
X = 1/√2units

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liberstina [14]

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3 years ago

Read 2 more answers

Factor each polynomial. Look for a GCF first

weeeeeb [17]

Answer:

20. $x\left(x-6\right)\left(x+8\right)$

22. $2\left(x+1\right)\left(x+4\right)$

24. $5m\left(m-1\right)\left(m+7\right)$

Step-by-step explanation:

20. $x^3+2x^{2} -48x$

The GCF is x, so you group it out of the equation first.

$x(x^{2} +2x-48)$

Then, you find 2 numbers that will equal to 2 when you add them and will equal to -48 when you multiply them.

$?+?=2\\?*?=-48$

The two numbers would be -6 and 8. You then differentiate the squares.

$x\left(x-6\right)\left(x+8\right)$

22. $2x^{2} +10x+8$

The GCF is 2, so you must group it out.

$2(x^{2} +5x+4)$

Find the two numbers that will equal to 5 when you add them and will equal to 4 when you multiply them.

$?+?=5\\?*?=4$

The two numbers would be 1 and 4. Finally, differentiate the squares.

$2\left(x+1\right)\left(x+4\right)$

24. $5m^{3} +30m^2-35m$

The GCF is 5m, so you must group it out.

$5m(m^2+6m-7)$

Find the two numbers that will equal to 6 when you add them and will equal to -7 when you multiply them.

$?+?=6\\?*?=-7$

The two numbers would be -1 and 7. Finally, differentiate the squares.

$5m\left(m-1\right)\left(m+7\right)$

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2 years ago

A farm is 9 in wide and 6 in tall. if it is redused to a width of 3 in then how tall will it be

lora16 [44]

It will still be 6 units high. Even if the width is reduced, that does not effect the height of the farm.

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3 years ago

How to simplify 40/100

777dan777 [17]

Answer:

40/100=4/10=2/5 2/5 is the simplest form

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3 years ago

What is the axis of symmetry for f(x) = 2x − 8x + 8? (1 point) Select one: a. x = −2 b. x = −3 c. x = 3 d. x = 2

ExtremeBDS [4]

Answer:

x=2

Step-by-step explanation:

F(x) = 2x^2 - 8x +8

Axis of symmetry lies at the x coordinate of vertex

To find x coordinate of vertex use formula

$x=\frac{-b}{2a}$

from the given f(x) , a= 2 and b = -8

Plug in all the values

$x=\frac{-(-8)}{2(2)}$

$x=\frac{8}{4}=2$

x=2

So the axis of symmetry at x=2

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3 years ago