According to the secant-tangent theorem, we have the following expression:

Now, we solve for <em>x</em>.

Then, we use the quadratic formula:
![x_{1,2}=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x_%7B1%2C2%7D%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
Where a = 1, b = 6, and c = -315.
![\begin{gathered} x_{1,2}=\frac{-6\pm\sqrt[]{6^2-4\cdot1\cdot(-315)}}{2\cdot1} \\ x_{1,2}=\frac{-6\pm\sqrt[]{36+1260}}{2}=\frac{-6\pm\sqrt[]{1296}}{2} \\ x_{1,2}=\frac{-6\pm36}{2} \\ x_1=\frac{-6+36}{2}=\frac{30}{2}=15 \\ x_2=\frac{-6-36}{2}=\frac{-42}{2}=-21 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x_%7B1%2C2%7D%3D%5Cfrac%7B-6%5Cpm%5Csqrt%5B%5D%7B6%5E2-4%5Ccdot1%5Ccdot%28-315%29%7D%7D%7B2%5Ccdot1%7D%20%5C%5C%20x_%7B1%2C2%7D%3D%5Cfrac%7B-6%5Cpm%5Csqrt%5B%5D%7B36%2B1260%7D%7D%7B2%7D%3D%5Cfrac%7B-6%5Cpm%5Csqrt%5B%5D%7B1296%7D%7D%7B2%7D%20%5C%5C%20x_%7B1%2C2%7D%3D%5Cfrac%7B-6%5Cpm36%7D%7B2%7D%20%5C%5C%20x_1%3D%5Cfrac%7B-6%2B36%7D%7B2%7D%3D%5Cfrac%7B30%7D%7B2%7D%3D15%20%5C%5C%20x_2%3D%5Cfrac%7B-6-36%7D%7B2%7D%3D%5Cfrac%7B-42%7D%7B2%7D%3D-21%20%5Cend%7Bgathered%7D)
<h2>Hence, the answer is 15 because lengths can't be negative.</h2>
Answer:
The correct answer is third option
x = 3
Step-by-step explanation:
It is given that,
4ˣ = 8⁽ˣ ⁻ ¹⁾
<u>To find the value of x</u>
4ˣ = (2²)ˣ
8⁽ˣ ⁻ ¹⁾ = (2³)⁽ˣ ⁻ ¹⁾
4ˣ = 8⁽ˣ ⁻ ¹⁾
(2²)ˣ = (2³)⁽ˣ ⁻ ¹⁾
2²ˣ = 2⁽³ˣ ⁻ ³⁾
2x = 3x - 3
3x - 2x = 3
x = 3
The correct answer is third option
x = 3
Answer:
C
Step-by-step explanation:
C is not a function because 5 has two y values
Answer:
that other person is right
The mean length (rounded to 2 DP) of these 8 people's index finger is 5.83
<h3>What is the mean length (rounded to 2 DP) of these 8 people's index finger?</h3>
The given parameters are:
<u>Children</u>
Mean = 5.6 cm
Frequency = 5
<u>Adult</u>
Mean = 6.2 cm
Frequency = 3
The mean length of these 8 people's index finger is calculated as:

So, we have
Mean = (5.6 * 5 + 6.2 * 3)/(5 + 3)
Evaluate
Mean = 5.83
Hence, the mean length (rounded to 2 DP) of these 8 people's index finger is 5.83
Read more about mean at
brainly.com/question/20118982
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