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3 years ago

Find the values of x and y

Mathematics

1 answer:

Zina [86]3 years ago

3 0

Answer:

see below

Step-by-step explanation:

• find x

use tan rule

tan( 60 degrees) = x / 7

tan ( 60 ) x 7 = 12 . 1

x = 12. 1

• find y

you can either use Pythagoras theorem or the sin rule

let's use sin

sin ( 30 ) = 7 / y

y = 14.0

hope this helps, please mark it

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Will give brainliest, please help fast

Gekata [30.6K]

Answer:

Converting the equation $x^2-20x+13=0$ into completing the square method we get: $\mathbf{(x-10)^2=87}$

Step-by-step explanation:

we are given quadratic equation: $x^2-20x+13=0$

And we need to convert it into completing the square method.

Completing the square method is of form: $a^2-2ab+b^2=(a-b)^2$

Looking at the given equation $x^2-20x+13=0$

We have a = x

then we have middle term 20x that can be written in form of 2ab So, we have a=x and b=? Multiplying 10 with 2 we get 20 so, we can say that b = 20

So, 20x in form of 2ab can be written as: 2(x)(10)

So, we need to add and subtract (10)^2 on both sides

$x^2-20x+13=0\\x^2-2(x)(10)+(10)^2-(10)^2+13=0\\(x^2-2(x)(10)+(10)^2) \:can\: be\: written\: as\: (x-10)^2 \\(x-10)^2-100+13=0\\(x-10)^2-87=0\\(x-10)^2=87$

So, converting the equation $x^2-20x+13=0$ into completing the square method we get: $\mathbf{(x-10)^2=87}$

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3 years ago

Which value satisfies the inequality 5x + 7 ≤ 8x - 3 + 2x?

QveST [7]

Answer:

D) 2

Step-by-step explanation:

5x + 7 $\leq$ 8x -3 +2x

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7 + 3 $\leq$ 10x - 5x

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What’s the greatest common factor of 22 99

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The greatest common factor of 22 and 99 would be 11. :)

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