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Oliga [24]
3 years ago
9

What is simplest form of sqrt 2 + sqrt 5 / sqrt 2 - sqrt -5? √2 + √5 / √2 - √-5

Mathematics
1 answer:
Leni [432]3 years ago
6 0

Answer:

\frac{-7-2\sqrt{10}}{3}

Step-by-step explanation:

we have

\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}-\sqrt{5}}

Simplify

Multiply the expression by  \frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}+\sqrt{5}}

(\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}-\sqrt{5}})(\frac{\sqrt{2}+\sqrt{5}}{\sqrt{2}+\sqrt{5}})

Apply difference of squares in the denominator

\frac{(\sqrt{2}+\sqrt{5})^2}{(\sqrt{2})^2-(\sqrt{5})^2}

\frac{2+2\sqrt{10}+5}{2-5}

\frac{7+2\sqrt{10}}{-3}

\frac{-7-2\sqrt{10}}{3}

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Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. a. How many times larger is the are
PSYCHO15rus [73]

Answer:

The answer is below

Step-by-step explanation:

a) Triangle A is attached in the image below.

The base of triangle A is 3 units and its height is 3 units. The area of a triangle  is given as:

Area = (1/2) × base × height

Area of triangle A = (1/2) × base × height = (1/2) × 3 × 3 = 4.5 unit²

Area of the scaled copy = 72 unit²

Ratio of area = Area of the scaled copy / Area of triangle A = 72 unit² / 4.5 unit² = 16

Hence the scaled copy area is 16 times larger than that of triangle A.

b) For the scaled copy:

Area of the scaled copy = (1/2) × base × height = 72 unit²

base × height = 144

Since the base and height are equal

base² = 144

base = 12, also height = 12

Base of scaled copy = 12 = 4 × base of triangle A

Therefore the scale factor used is 4

7 0
3 years ago
Translation: 6 units right and 3 units down<br> s(-3, 3), C(-1, 4), W(-2,-1)
sdas [7]
S (3, 0)
C (5, 1)
W (4, -4)

Explanation
You take the first number and add 6 to it and you get the new number and then you take the second number and subtract 3 from it

S: -3 + 6 = 3
S- 3 - 3 = 0

C: -1 + 6 = 5
C: 4 - 3 = 1

W: -2 + 6 = 4
W: -1 - 3 = -4
3 0
2 years ago
PLEASE HELP ASAP IF YOU RIGHT YOU GET BRAINLLEST
ratelena [41]

Answer:

its number 3

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
A door has an area of 21 square feet. It is 7 feet tall. How wide is the door?
Sati [7]

Answer:

3 feet wide

Step-by-step explanation:

21/7= 3

8 0
3 years ago
Does anyone know what the √2.25 is when rewritten as a fraction?
Zinaida [17]

Answer:  \sqrt{\frac{9}{4} }

Step-by-step explanation:

This is what it is as a mixed number

\sqrt{2.25}

= \sqrt{2\frac{1}{4} }

= \sqrt{\frac{9}{4} }

If you want it written in exponential form it would look like this:

(\frac{9}{4}) ^{\frac{1}{2} }

5 0
1 year ago
Read 2 more answers
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