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1 year ago

What is the Value Of X,

Mathematics

1 answer:

Zina [86]1 year ago

7 0

The value of x in the figure is 9.72

<h3>How to determine the value of x?</h3>

The given shape is a triangle, and the value of x can be calculated using the following laws of cosine

a^2 = b^2 + c^2 - 2bc * cos(a)

So, the equation becomes

x^2 = 14^2 + 10^2 - 2 * 14 * 10 * cos(44)

Evaluate the value of cos(44)

x^2 = 14^2 + 10^2 - 2 * 14 * 10 * 0.7193

Evaluate the product

x^2 = 296 - 201.404

Evaluate the difference

x^2 = 94.596

Evaluate the exponent

x = 9.72

Hence, the value of x in the figure is 9.72

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Which number line shows the solution set for |p-3|=9?

Mademuasel [1]

Answer:

Option b

$p = -6$ or $p = 12$

Step-by-step explanation:

The absolute value is a function that transforms any value x into a positive number.

Therefore, for the function $f(x) = |x|$ x> 0 for all real numbers.

Then the equation:

$|p-3| = 9$ has two cases

$(p-3) = 9$ if $h > 3$ (i)

$-(p-3) = 9$ if $h < 3$ (ii)

We solve the case (i)

$p = 9 + 3\\p = 12$

We solve the case (ii)

$-p +3 = 9\\p = 3-9\\p = -6$

Then the solution is:

$p = -6$ or $p = 12$

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