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2 years ago

Please help me out with this here is a screen shot

Mathematics

1 answer:

Flura [38]2 years ago

7 0

Corresponding sides of similar triangles are in same proportion.

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Find the root of <img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B2x%20%7B%20%7D%5E%7B2%7D%20%7D%20%20%2B%20x%20%2B%20%20%5Csq

artcher [175]

Answer:

The root of x = -2 + √2

Step-by-step explanation:

Step(i):-

Given $\sqrt{2x^{2} } + x +\sqrt{2} = 0$

⇒ $\sqrt{2} } ( x^2 ) ^{\frac{1}{2} } + x +\sqrt{2} = 0$

⇒ $\sqrt{2}x + x +\sqrt{2} = 0$

⇒ $(\sqrt{2} + 1) x = - \sqrt{2}$

$x = \frac{-\sqrt{2} }{(\sqrt{2} + 1)}$

Step(ii):-

Rationalizing

$x = \frac{-\sqrt{2} }{(\sqrt{2} + 1)} X \frac{(\sqrt{2} - 1)}{(\sqrt{2} - 1)}$

Apply ( a-b ) ( a+b) = a²-b²

$x = \frac{-\sqrt{2}(\sqrt{2} -1) }{(\sqrt{2})^{2} - 1^{2} )} = \frac{-(2-\sqrt{2} }{2-1}$

The root of x = -2 + √2

6 0

3 years ago

I NEED HELP PLEASE

Elan Coil [88]

Answer:

y=x+8 because your friend's allowance is y but also $8 more than yours, x. x+8 is her allowance so x+8=y

3 0

3 years ago

Just Number 15? Please

Damm [24]

15)
an exterior angle equals the sum of the remote interior angles
so
m<XYT = m<X + m<Z
4x - 25 = x + 15 + 50 - 3x
4x - 25 = -2x + 65
6x = 90
x = 15

answer
x = 15

8 0

3 years ago

(K-10) divided by 2 = -7 What’s the answer for the variable k?

stira [4]

Answer:

k = -4

Step-by-step explanation:

(k - 10)/2 = -7

First: multiply by 2 to get rid of the denominator

2(k - 10)/2 = 2(-7)

k - 10 = -14

Next: add 10 to both sides to isolate k

k - 10 + 10 = -14 + 10

k = -4

7 0

4 years ago

the cost to rent skis at a local sporting goods store is $15 plus $20 per day. which equation models the relationship between th

Juli2301 [7.4K]

Answer:

c = 20d + 15

Step-by-step explanation:

answer choices may help if the answer is not one of the choices; but here is the answer that it should be:

20 dollars per day is 20 times the length of rental.

15 is a cost that is added and does not change.

c = the total cost therefore:

c = 20d + 15

8 0

3 years ago