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2 years ago

What's the answer to both when simplifying the two radical expression?

Mathematics

1 answer:

OlgaM077 [116]2 years ago

7 0

$( \sqrt{x} +2 \sqrt{5})*( \sqrt{x} -2 \sqrt{5}) = \\ \\ ( \sqrt{x})^2- (\sqrt{x} *2 \sqrt{5})+(2 \sqrt{5}* \sqrt{x}) -(2 \sqrt{5})^2 = \\ \\ x- 2\sqrt{5} \sqrt{x}+2 \sqrt{5} \sqrt{x} -(4*5)= \\ \\ x -(4*5)= \boxed{x-20} \\ \\$

$( \sqrt{x}+ \sqrt{5}) ^2= \\ \\ ( \sqrt{x})^2+2* \sqrt{x}* \sqrt{5} + (\sqrt{5}) ^2= \\ \\ \boxed{ x +2 \sqrt{5x}+5}$

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11111nata11111 [884]

Answer:

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Step-by-step explanation:

7 0

2 years ago

When will these two lines intersect <br>C. y=-2x +3<br>y = x

Andrej [43]

Answer:

The intersection point of the given lines is (1,1).

Step-by-step explanation:

Here, the given equations are:

y = - 2 x + 3

y = x

Substitute y = x in the first equation,

y = -2 x + 3 becomes y = -2 (y) + 3

or, y + 2 y = 3

or, 3 y = 3 ⇒ y = 3/3 = 1

⇒ y = 1

Now, as x = y ⇒ x = 1

Hence, the intersection points of the given lines is (1,1).

8 0

3 years ago

Daniel and Edwin went to lunch. Daniel’s meal cost $20 and Edwin’s meal cost $18.50. They each left an 18% tip on the price of t

Neporo4naja [7]

Answer:

$45.43

Step-by-step explanation:

20 × 0.18 = 3.60

18.50 × 0.18 = 3.33

3.60 + 3.33 = 6.93

The total in tips is 6.93

20 + 18.50 = 38.50

The total meal cost is 38.50

38.50 + 6.93 = 45.43

The total of everything is 45.43

4 0

2 years ago

Read 2 more answers

Anyone know how to solve this??

Tom [10]

$Given : \frac{(x^\frac{2}{5})^9\;.\;(x^\frac{-4}{15})}{x^\frac{1}{3}}$

$\implies {(x^\frac{18}{5})\;.\; (x^\frac{-4}{15})}\;.\;(x^\frac{-1}{3})$

$\implies x^(^\frac{18}{5} ^-^\frac{4}{15}^-^\frac{1}{3}^)$

$\implies x^(^(^\frac{54 - 4}{15}^)^-^\frac{1}{3}^) = x^(^(^\frac{50}{15}^)^-^\frac{1}{3}^) = x^(^(^\frac{10}{3}^)^-^\frac{1}{3}^) = x^(^\frac{9}{3}^) = x^3$