Answer: See explanation
Step-by-step explanation:
You didn't give the options but let me help out.
First and foremost, we should note that the value of the digit 2 in the number 135,284 is 200. Therefore, the value that is ten times as great as the value of the digit 2 in the number 135,284 would be:
= 10 × 200
= 2000
Therefore, the 2 must be in the thousands place. This can be seen in numbers such as:
172748.
Answer: The system consists of parallel lines
Step-by-step explanation:
Given system of lines :
![3y-x=-7](https://tex.z-dn.net/?f=3y-x%3D-7)
Substitute
in
, we get
, which is not true.
That means , system has no solution.
i.e. they are representing parallel lines. [Parallel lines do not intersect and hence they do not have solution.]
Answer:
![\boxed{ \bold{ \huge{ \boxed{ \sf{25 \: units}}}}}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Cbold%7B%20%5Chuge%7B%20%5Cboxed%7B%20%5Csf%7B25%20%5C%3A%20units%7D%7D%7D%7D%7D)
Step-by-step explanation:
Let M ( 9 , -5 ) be ( x₁ , y₁ ) and N ( - 11 , 10 ) be ( x₂ , y₂ )
<u>Finding</u><u> </u><u>the </u><u>distance </u><u>between</u><u> </u><u>these</u><u> </u><u>points</u>
![\boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}](https://tex.z-dn.net/?f=%20%5Cboxed%7B%20%5Csf%7Bdistance%20%3D%20%20%5Csqrt%7B%20%7B%28x2%20-%20x1%29%7D%5E%7B2%7D%20%2B%20%20%7B%28y2%20-%20y1%29%7D%5E%7B2%7D%20%20%7D%20%7D%7D)
![\longrightarrow{ \sf{ \sqrt{ {( - 11 - 9)}^{2} + {(10 - ( - 5))}^{2} } }}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Csqrt%7B%20%7B%28%20-%2011%20-%209%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%2810%20-%20%28%20-%205%29%29%7D%5E%7B2%7D%20%7D%20%7D%7D)
![\longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} + {(10 + 5)}^{2} } }}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Csqrt%7B%20%7B%28%20-%2020%29%7D%5E%7B2%7D%20%2B%20%20%7B%2810%20%2B%205%29%7D%5E%7B2%7D%20%20%7D%20%7D%7D)
![\longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} + {(15)}^{2} } }}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Csqrt%7B%20%7B%28%20-%2020%29%7D%5E%7B2%7D%20%20%2B%20%20%7B%2815%29%7D%5E%7B2%7D%20%7D%20%7D%7D)
![\longrightarrow{ \sf{ \sqrt{400 + 225}}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Csqrt%7B400%20%2B%20225%7D%7D%7D%20)
![\longrightarrow{ \sf{ \sqrt{625}}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Csqrt%7B625%7D%7D%7D%20)
![\longrightarrow{ \sf{ \sqrt{ {(25)}^{2} } }}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B%20%5Csqrt%7B%20%7B%2825%29%7D%5E%7B2%7D%20%7D%20%7D%7D)
![\longrightarrow{ \sf{25 \: units}}](https://tex.z-dn.net/?f=%20%5Clongrightarrow%7B%20%5Csf%7B25%20%5C%3A%20units%7D%7D)
Hope I helped!
Best regards! :D
Answer:
![f(0)=7.07](https://tex.z-dn.net/?f=f%280%29%3D7.07)
Step-by-step explanation:
We have the function ![f(x)=2(x)^2+5\sqrt{(x+2)}](https://tex.z-dn.net/?f=f%28x%29%3D2%28x%29%5E2%2B5%5Csqrt%7B%28x%2B2%29%7D)
In this case we want to find the value of f0)
To find f(0) you must replace the x in the function with the number 0 and solve as shown below
![f(0)=2(0)^2+5\sqrt{(0+2)}](https://tex.z-dn.net/?f=f%280%29%3D2%280%29%5E2%2B5%5Csqrt%7B%280%2B2%29%7D)
![f(0)=0+5\sqrt{(0+2)}](https://tex.z-dn.net/?f=f%280%29%3D0%2B5%5Csqrt%7B%280%2B2%29%7D)
![f(0)=5\sqrt{(2)}](https://tex.z-dn.net/?f=f%280%29%3D5%5Csqrt%7B%282%29%7D)
Therefore
![f(0)=7.07](https://tex.z-dn.net/?f=f%280%29%3D7.07)
I think the answer would be 15, 8•15=120, leaving 3 points left which would be an multiple choice question, hope this helps:))