Answer:
x = 8 or x = 2
Step-by-step explanation:
We know x - 5 = 3 or x - 5 = -3.
<u>Possibility 1:</u>
Step 1: Add 5 to both sides.
<u>Possibility 2:</u>
Step 1: Add 5 to both sides.
Step 2: Check if both solutions apply to original equation.
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Answer:
Option A. x = 8
Step-by-step explanation:
Please see attached photo.
From the attached photo,
we shall determine the value of y. This can be obtained by using pythagoras theory as illustrated below:
(√80)² = 8² + y²
80 = 64 + y²
Collect like terms
80 – 64 = y²
16 = y²
Take the square root of both side
y = √16
y = 4
Finally, we shall determine the value of x. This can be obtained as follow:
From the attached photo,
x = 2y
but:
y = 4
Therefore,
x = 2y
x = 2 × 4
x = 8
Answer:
Step-by-step explanation:
Given sin²∅ + sin∅ = 1, we are to find the value of sin²∅ + sin⁴∅. ... 2
From sin²∅ + sin∅. = 1; sin²∅ = 1 - sin∅. ... 3
Substitute equation 3 into 1
sin²∅ + sin⁴∅
= sin²∅ + (sin²∅)²
= (1 - sin∅)+( 1 - sin∅)²
open the parenthesis
= 1 - sin∅+ (1-2sin∅+ sin²∅)
= 1 - sin∅+ 1-2sin∅+ sin²∅
= 1+1-sin∅-2sin∅+sin²∅
= 2 - 3sin∅+sin²∅
Since sin²∅ = 1 - sin∅, the resulting equation becomes;
= 2 - 3sin∅+(1 - sin∅)
= 2 - 3sin∅+1-sin∅
= 3-4sin∅