<h3>
First Method:</h3>
<u>Using cosine rule</u>:
<h3>
Second Method:</h3>
<u>First find XY using sine rule</u>:
Then use Pythagoras Theorem:
⇒ XY² + YZ² = XZ²
⇒ (6)² + YZ² = 12²
⇒ YZ² = 144 - 36
⇒ YZ = √108
⇒ YZ = 6√3
⇒ YZ = 10.4
AB + BC = AC <em>Segment Addition Postulate</em>
(x + 10) + (x + 14) = 22 <em>Substitution</em>
2x + 24 = 22 <em>Simplify (added like terms)</em>
2x = -2 <em>Subtraction Property of Equality</em>
x = -1 <em>Divison Property of Equality</em>
Answer: x = -1
Answer:
y=4x+5
Step-by-step explanation:
You have your mx already: (mx is slope)
y=4x
And you have your b already: (b is y-intercept)
+5
Combine equations: (Solve)
y=4x+5
Hence, the correct answer is y=4x+5
From the Pythagorean Theorem, we know that a^2+b^2=c^2
28^2+21^2=(5x)^2
784+441=25x^2
1225=25x^2
49=x^2
x=7
The length of the hypotenuse would be 35m.
The answer in scientific notation is 9.345 x 10^2