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3 years ago

1) Select two answer choices that form a unique triangle.

Mathematics

2 answers:

jolli1 [7]3 years ago

6 0

Answer:

B & D

Step-by-step explanation:

the sum of the shorter two legs must exceed the third leg.

IgorC [24]3 years ago

5 0

Answer:

subscribe to me on you-tube for brainliest custom link since u cant do a you-tube link :/

https://screenshare.host/B7N8NT

Step-by-step explanation:

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What expression is equivalent to ^3 square root of 2y^3 times 7 square root of 18y

Mumz [18]

Answer:

$\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

Step-by-step explanation:

The question is poorly formatted.

Given

$\sqrt[3]{2y^3} * 7\sqrt{18y}$

Required

Derive an equivalent expression

$\sqrt[3]{2y^3} * 7\sqrt{18y}$

Express 18 as 9 * 2

$\sqrt[3]{2y^3} * 7\sqrt{9 * 2y}$

Split the expression as follows:

$\sqrt[3]{2y^3} * 7\sqrt{9} * \sqrt{2y}$

Take positive square root of 9

$\sqrt[3]{2y^3} * 7*3 * \sqrt{2y}$

$\sqrt[3]{2y^3} * 21 * \sqrt{2y}$

$21*\sqrt[3]{2y^3} * \sqrt{2y}$

The cube root can be rewritten to give:

$21*\sqrt[3]{2}*\sqrt[3]{y^3} * \sqrt{2y}$

$\sqrt[3]{y^3} = y^{3*\frac{1}{3}} = y$

So, we have:

$21*\sqrt[3]{2} * y * \sqrt{2y}$

Rewrite as:

$21y *\sqrt[3]{2} * \sqrt{2y}$

Split $\sqrt{2y$

$21y *\sqrt[3]{2} * \sqrt{2} * \sqrt{y}$

Collect Like Terms

$21y*\sqrt{y} *\sqrt[3]{2} * \sqrt{2}$

Represent in index form

$21y*y^{\frac{1}{2}} *2^\frac{1}{3} *2^\frac{1}{2}$

Apply law of indices

$21*y^{1+\frac{1}{2}} *2^{\frac{1}{3} +\frac{1}{2} }$

$21*y^{\frac{2+1}{2}} *2^{\frac{2+3}{6}}$

$21*y^{\frac{3}{2}} *2^{\frac{5}{6}}$

$21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

Hence:

$\sqrt[3]{2y^3} * 7\sqrt{18y} = 21(y^{\frac{3}{2}})(2^{\frac{5}{6}})$

6 0

3 years ago

The expression sin(23°)cos(7°) + cos(23°)sin(7°) is equivalent to

krok68 [10]

<em>-</em><em> </em><em>BRAINLIEST</em><em> answerer</em>

3 0

3 years ago

The area of a rectangle is 56 meters. the lengthe th is 2 cm moran x and the width is 5 cm less than twice x. solve for x

olya-2409 [2.1K]

You can write the dimensions of the rectangle as (x + 2) and (x - 5), and because the area is base × height, you can multiply the brackets together and make it equal to 56:

(x + 2)(2x - 5) = 56
2x² + 4x - 5x - 10 = 56
x² - x - 10 = 56

Now because you have an x², you need to make the equation equal to 0 so you can factorise, so:

2x² - x - 10 = 56
- 56
2x² - x - 66 = 0
(x - 6)(2x + 11)

So x is 6, because the other option is -5.5 and you cannot have a negative length.

I hope this helps!

8 0

3 years ago

Read 2 more answers

Which equation represents a line that is perpendicular to line FG? A. y=-1/2x+5 B. y=1/2x+2 C. y=-2x-3 D. y=2x-6

zheka24 [161]

Answer:

B. y=1/2x+2

Step-by-step explanation:

6 0

3 years ago

lvava is calculating the area of a circle with a radius of 3/4 which of the following gives the BEST estimation of the area?

STALIN [3.7K]

Answer:

28.274

Step-by-step explanation:

8 0

3 years ago