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2 years ago

True or False: The hypotenuse is the longest side of a right triangle. A) yes B) no

Mathematics

1 answer:

Eva8 [605]2 years ago

4 0

Answer = A.) yes!
This statement is True
The hypotenuse is the longest side of a triangle.

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How do you simplify this? x²y+xy² / y²+2/5 × xy

polet [3.4K]

$\huge \boxed{\mathbb{QUESTION} \downarrow}$

How do you simplify this?
x²y+xy² / y²+2/5 × xy

$\large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}$

$\sf\frac{ { x }^{ 2 } y+x { y }^{ 2 } }{ { y }^{ 2 } + \frac{ 2 }{ 5 } \times xy } \\$

Factor the expressions that are not already factored.

_____

How to factorise :-

NUMERATOR $\downarrow$

$\sf \: x ^ { 2 } y + x y ^ { 2 }$

Factor out xy.

$\sf \: xy\left(x+y\right)$

DENOMINATOR $\downarrow$

$\sf{ y }^{ 2 } + \frac{ 2 }{ 5 } \times xy \\$

Factor out 1/5.

$\sf \: {\frac{1}{5}y\left(2x+5y\right)} \\$

_____

Continuing...

$\sf\frac{xy\left(x+y\right)}{\frac{1}{5}y\left(2x+5y\right)} \\$

Cancel out y in both the numerator and denominator.

$\sf\frac{x\left(x+y\right)}{\frac{1}{5}\left(2x+5y\right)} \\$

Expand the expression.

$\sf\frac{x^{2}+xy}{\frac{2}{5}x+y} \\$

This can further simplified to as $\downarrow$

$= \boxed{\boxed{\bf\frac{5x\left(x +y\right)}{2x+5y}}}$

3 0

2 years ago

Can someone help me I don't know how to do it?Please and thank u Expand - 2 (1 - 2x + 2)

Softa [21]

-2 + 4x - 4
= 4x-6
Make sure to distribute everything and then combine like terms.

Answer: 4x-6

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2 years ago

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marusya05 [52]

D is the answer because the circle has no sides so it’s 157/200

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2 years ago

Solve for (2/5)^8x=25/4

Levart [38]

Answer:

X=-1/4

Step-by-step explanation:

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2 years ago

Solve this inequality: 3p – 6 > 21.

Wittaler [7]

To solve for p:
3p – 6 > 21
3p - 6 + 6 > 21 + 6 (add 6 to both sides)
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3p/3 > 27/3 (divide both sides by 3 to get p by itself)
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3 years ago