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2 years ago

Find the exact value of x

Mathematics

2 answers:

Galina-37 [17]2 years ago

5 0

Answer:

8.94 (Rounded would be 9)

Step-by-step explanation:

By using the Pythagorean Theorem formula,

A^2+B^2 = C^2

You have the hypotenuse (c) = 12

and you have a leg (a) = 8

and you're trying to find another leg (b) = x

In order to find this, you'll have to change up the formula in order to find (B) instead of (C)

B^2 = C^2 - A^2

(B) = (12)^2 - (8)^2

(B) = 144 - 64

(B) = 80

Square root of 80

B = 8.9

nikitadnepr [17]2 years ago

4 0

Answer: 8.94 (pretty sure)

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Evaluate 4(2a – b) when a = –1 and b = 5.

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Hey There!

<h2>Question:-</h2>

$\sf \longmapsto \: 4(2a - b)$

This is a algebraic expression. The values of a and b are given. The values are as follows :-

a = -1

And,

b = +5 .

<h2>Solution:-</h2>

$\sf \longmapsto4(2a - b)$

Note that a is multiplied with 2 that is :-

$\sf \longmapsto4(2 \times a \: - b)$

Now, Insert the values that is a = -1 and b = 5 :-

$\sf \longmapsto4(2 \times - 1 - 5)$

Here,we need to follow BODMAS Rule.

B = Brackets

O = Orders

D = Division

M = Multiplication

A = Addition

S = Subtraction

We need to solve the bracket's calculations first as it is the rule.

So, Firstly Multiply (2 × -1) :-

$\sf \longmapsto4( - 2 - 5)$

Note that, (-) × (-) equals to (+).

So, it will be 5+2,But as 5 is bigger number than 2, 5 contains a minus sign.So the result will be -7.

$\sf \longmapsto4( 5+ 2)$

On Simplification:-

$\sf \longmapsto4( - 7)$

$\sf \longmapsto4 \times (- 7)$

$\sf \longmapsto \: - 28$

______________________________________

Henceforth the solution of the algebraic expression is :-

$\bf \:- 28$

Option B is correct!

______________________________________

I hope this helps!

Please let me know if you have any questions.

~MisterBrian

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