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gayaneshka [121]

2 years ago

7

Three concentric circles have radii of lengths 2, 4, and 8 feet. What is the length of the shortest line segment that has at lea

st one point in common with each of the three circles?

1 answer:

Kisachek [45]2 years ago

5 0

The shortest distance between 2 concentric circles is the difference of their radii. Thus the answer is 8-2=6

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Solve the following system of equations by substitution. Show all steps.

Alinara [238K]

Answer:

Given system of equations:

$\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}$

To solve by substitution, equate the equations and solve for x:

$\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}$

Therefore, the x-values of the solution are $x = 0$ and $x = 4$ .

To find the y-values of the solution, substitute the found values of x into the functions:

$f(0)=-(0)^2+2(0)+3=3$

$g(0)=-2(0)+3=3$

$f(4)=-(4)^2+2(4)+3=-5$

$g(4)=-2(4)+3=-5$

Therefore, the solutions to the given system of equations are:

$(0, 3)$ and $(4, -5)$

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2 years ago

Please help me!!!! brainliest

dimaraw [331]

Answer:

2/5in x 3/5in

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6/25

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Use substitution to solve the system of equations. Write your solution in decimal form

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Step-by-step explanation:

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2 years ago

Use the graph to state the solution for the system.

Alenkasestr [34]

Your answer would be (3,0)

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3 years ago

Which one is correct

Alexandra [31]

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i believe its false good Sir

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