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Yuri [45]
3 years ago
5

Barbie is analyzing a circle, y2 + x2 = 16, and a linear function g(x). Will they intersect?

Mathematics
2 answers:
Sergeu [11.5K]3 years ago
5 0

Answer:

Yes,they will intersect at (0.686,3.941) and (2.914,-2.741)

Step-by-step explanation:

Given the values that represent the function g(x) you can plot them directly on a graph tool and plot the function y²+x²=16 then visualize

You can also determine the equation of the linear function as then graph both equations on the graph tool

<u>Finding gradient m</u>

Given (0,6) and (1,3)

m=change in value of y/change in value of x

m=\frac{3-6}{1-0} =\frac{-3}{1} =-3

Finding the equation of the linear function

Taking points (2,0)   and (x,y)

m=\frac{y-0}{x-2} \\\\-3=\frac{y-0}{x-2} \\\\\\-3(x-2)=y-0\\\\\\-3x+6=y-0\\\\\\y=-3x+6

From the graph,they intersect at

(0.686,3.941) and (2.914,-2.741)

saw5 [17]3 years ago
5 0

Answer:

Yes, at positive x coordinates

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I would say 50 because 50 is between 40 and 60 50 is half of 100 so that is why I would say 50
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The ratio of the area of a circle, P , to the area of another circle, Q , is 16/81 .
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7 0
2 years ago
Solve for x.<br> x^2 + 6 = 10
Ostrovityanka [42]

Steps To Solve:

x² + 6 = 10

~Subtract 6 to both sides

x² + 6 - 6 = 10 - 6

~Simplify

x² = 4

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5 0
3 years ago
Surface area of this right prism
Sphinxa [80]

\qquad\qquad\huge\underline{{\sf Answer}}

\textsf{Let's calculate the surface area of given right prism}

\textbf{Area of Triangles :}

  • \sf{\dfrac{1}{2}\cdot 16\cdot 12}

  • \sf{8×12}

  • \sf96 \:  \: cm {}^{2}

\textsf{Since there are two triangles, }

\textsf{Area of Triangles = 96 × 2 = 192 cm²}

\textbf{Now, calculate the Areas of rectangles :}

  • \textsf{Area - 1 = 12 × 10 = 120 cm²}

  • \textsf{Area - 2 = 16 × 10 = 160 cm²}

  • \textsf{Area - 3 = 20 × 10 = 200 cm²}

\textsf{Now add them all :}

  • \textsf{120 + 160 + 200 + 192}

  • \textsf{672 cm²}

7 0
2 years ago
Read 2 more answers
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