Given:
The distance between the two points (11, 1) and (x, 17) is 20.
To find:
The possible values of x.
Solution:
Distance formula is:
![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)
Using this formula, the distance between (11, 1) and (x, 17) is
![D=\sqrt{(x-11)^2+(17-1)^2}](https://tex.z-dn.net/?f=D%3D%5Csqrt%7B%28x-11%29%5E2%2B%2817-1%29%5E2%7D)
![20=\sqrt{x^2-22x+121+(16)^2}](https://tex.z-dn.net/?f=20%3D%5Csqrt%7Bx%5E2-22x%2B121%2B%2816%29%5E2%7D)
![20=\sqrt{x^2-22x+121+256}](https://tex.z-dn.net/?f=20%3D%5Csqrt%7Bx%5E2-22x%2B121%2B256%7D)
Taking square on both sides.
![400=x^2-22x+377](https://tex.z-dn.net/?f=400%3Dx%5E2-22x%2B377)
![0=x^2-22x+377-400](https://tex.z-dn.net/?f=0%3Dx%5E2-22x%2B377-400)
![x^2-22x-23=0](https://tex.z-dn.net/?f=x%5E2-22x-23%3D0)
Splitting the middle term, we get
![x^2-23x+x-23=0](https://tex.z-dn.net/?f=x%5E2-23x%2Bx-23%3D0)
![x(x-23)+(x-23)=0](https://tex.z-dn.net/?f=x%28x-23%29%2B%28x-23%29%3D0)
![(x-23)(x+1)=0](https://tex.z-dn.net/?f=%28x-23%29%28x%2B1%29%3D0)
Using zero product property, we get
![x=-1,23](https://tex.z-dn.net/?f=x%3D-1%2C23)
Therefore, the possible values of x are -1 and 23.
An exponential function is such that it involves the input to be present as an exponent (power) of some constant. The growth rate is n%, while the Initial Amount is 312.
<h3>What are exponential functions?</h3>
When the expression of function is such that it involves the input to be present as an exponent (power) of some constant, then such function is called exponential function. Their usual form is specified below. They are written in several such equivalent forms.
Given the exponential equation y = 312(1.13)ⁿ, therefore, the growth rate is n%, while the Initial Amount is 312.
Learn more about Exponential Function:
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A) Toys R Us - 6.25 / 5 = 1.25
b) Walmart - 12.64 / 10 = 1.264
c) Target - 2.76 / 2 = 1.38
So Toys R Us has the best unit rate (cheapest)
Answer:
B
Step-by-step explanation:
This is the correct answer ;)
If the circumference of a circle was, for example, 25, to find the diameter, well have to divide 25 from pie to get it.
The answer would've been <em>7.957747</em><em>.</em><em> </em>
Therefore B is the right answer :)
<em>PLEASE</em><em> </em><em>DO MARK</em><em> </em><em>ME AS</em><em> </em><em>BRAINLIEST</em><em> </em><em>IF</em><em> </em><em>MY</em><em> </em><em>ANSWER IS</em><em> </em><em>HELPFUL</em><em> </em>
Answer:The answer is 24
Step-by-step explanation: