The distance between (3, 2) and (-3, -6) is 10 units
The correct answer is B) 10
Further explanation:
Given points are:
(x1,y1) = (3,2)
(x2,y2)=(-3,-6)
The distance formula is given by:
![d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Putting the values
![d=\sqrt{(-3-3)^2+(-6-2)^2}\\=\sqrt{(-6)^2+(-8)^2} \\=\sqrt{36+64}\\ =\sqrt{100}\\d=10](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%28-3-3%29%5E2%2B%28-6-2%29%5E2%7D%5C%5C%3D%5Csqrt%7B%28-6%29%5E2%2B%28-8%29%5E2%7D%20%5C%5C%3D%5Csqrt%7B36%2B64%7D%5C%5C%20%3D%5Csqrt%7B100%7D%5C%5Cd%3D10)
The distance between (3, 2) and (-3, -6) is 10 units
Keywords: Magnitude, Distance
Learn more about magnitude at:
#LearnwithBrainly
<span>data: 2, 5, 9, 11, 17, 19
</span>
median is the middle number
median = (9+11)/2 = 10
mean = average
mean = (2 + 5 + 9 + 11+ 17 + 19)/6
mean = 63/6
mean = 10.5
Answer:
x = 180 - (37 + 53)
Step-by-step explanation:
x + 37 + 53 = 180
x = 180 - (37 + 53)
All of the angles have to equal 180 due to the supplementary angles thm
Answer:
D is correct option.![g(x)=\frac{3}{8}\cdot (4)^{-x}](https://tex.z-dn.net/?f=g%28x%29%3D%5Cfrac%7B3%7D%7B8%7D%5Ccdot%20%284%29%5E%7B-x%7D)
Step-by-step explanation:
We are given a function ![f(x)=\frac{3}{8}\cdot (4)^x](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7B3%7D%7B8%7D%5Ccdot%20%284%29%5Ex)
We need to find new function reflection of f(x) across the y-axis.
When function reflection across y-axis ![x\rightarrow -x](https://tex.z-dn.net/?f=x%5Crightarrow%20-x)
![\text{Reflection across y-axis}f(x)\rightarrow f(-x)](https://tex.z-dn.net/?f=%5Ctext%7BReflection%20across%20y-axis%7Df%28x%29%5Crightarrow%20f%28-x%29)
Therefore, ![f(-x)=\frac{3}{8}\cdot (4)^{-x}](https://tex.z-dn.net/?f=f%28-x%29%3D%5Cfrac%7B3%7D%7B8%7D%5Ccdot%20%284%29%5E%7B-x%7D)
New function, ![g(x)=f(-x)](https://tex.z-dn.net/?f=g%28x%29%3Df%28-x%29)
![g(x)=\frac{3}{8}\cdot (4)^{-x}](https://tex.z-dn.net/?f=g%28x%29%3D%5Cfrac%7B3%7D%7B8%7D%5Ccdot%20%284%29%5E%7B-x%7D)
Thus, D is correct option.