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3 years ago

Please help me. will give brainlist

Mathematics

2 answers:

jolli1 [7]3 years ago

8 0

Answer:

x= 2.2

Step-by-step explanation:

10/11 = 2/x

cross multiply to get

10x=22

x=2.2

ser-zykov [4K]3 years ago

4 0

Answer:

<h2>x = 2.2 (Verified Answer) ✅</h2>

Step-by-step explanation:

We need to set up a proportion where the triangle with side x is proportional to the triangle with a side measure of 2.

So, 10/2 = 11/x

We cross multiply to get 10x = 22

Dividing gives us x = 2.2

We can check our answer by substituting our answer in for x.

10/2 = 11/2.2

22 = 22 ✅

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Apply the Pythagorean Theorem to find the distance between these two endpoints:

$\begin{aligned}&\text{Distance}\cr &= \sqrt{\left(x_2 - x_1\right)^2 + \left(y_2 - y_1\right)^2 + \left(z_2 - z_1\right)^2} \cr &= \sqrt{(6 - 4)^2 + (6 - 2)^2 + ((-3) - (-9))^2 \cr &= \sqrt{56}}\end{aligned}$ .

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$\begin{aligned} r &= \frac{1}{2} \, \sqrt{56} \cr &= \sqrt{\left(\frac{1}{2}\right)^2 \times 56} \cr &= \sqrt{\frac{1}{4} \times 56} \cr &= \sqrt{14} \end{aligned}$ .

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$\displaystyle \left(\frac{x_1 + x_2}{2},\, \frac{y_1 + y_2}{2}, \, \frac{z_1 + z_2}{2}\right)$ .

In this case, the midpoint of the diameter, which is the same as the center of the sphere, would be at:

$\begin{aligned}&\left(\frac{x_1 + x_2}{2},\, \frac{y_1 + y_2}{2}, \, \frac{z_1 + z_2}{2}\right) \cr &= \left(\frac{4 + 6}{2},\, \frac{2 + 6}{2}, \, \frac{(-9) + (-3)}{2}\right) \cr &= (5,\, 4\, -6)\end{aligned}$ .