Answer: 12 miles
Step-by-step explanation: Stright from her house to luke is 5 miles back ti brianna is 4 miles and back home is 3 miles all together 5+4+3=12
we have

Group terms that contain the same variable, and move the constant to the opposite side of the equation

Factor the leading coefficient

Complete the square. Remember to balance the equation by adding the same constants to each side


Rewrite as perfect squares

-----> equation in vertex form
therefore
the answer is the option C

Answer: C
Step-by-step explanation: The square root of 67 is 8.18
Answer:
r = 105
Step-by-step explanation:
Given quadratic equation:
x² − 9x − 6
Quadratic formula is given by:
(-b ± √b² - 4ac) ÷ 2a
For the equation: x² - 9x - 6
a = 1, b = -9 and c = -6
Substitute in the quadratic formula:
(-b ± √b² - 4ac) ÷ 2a
(-(-9) ± √(-9)² - 4(1*-6)) ÷ 2*1
= 9 ± √105 / 2
The solution of x² − 9x − 6 is expressed as 9 plus or minus the square root of r, all over 2
Therefore, the value of r is 105
To solve this problem, we just have to use trigonometric ratios and apply which of the ratios is needed here and proceed to solve. The value of side AC is 2.85 units
<h3>Trigonometric Ratio</h3>
In the given diagram, we have the value of angle and hypothenuse and we are required to find the adjacent side of the triangle.
Data;
- Angle = 32.9 degrees
- Hypothenuse = 3.4
Let's use cosine rule for this.

Proceed to substitute the values into the equation and solve.

From the calculations above, the value of side AC is 2.85 units
Learn more on trigonometric ratio here;
brainly.com/question/11967894
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