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tester [92]
3 years ago
7

What is the x-coordinate of the solution to the following system of equations?

Mathematics
1 answer:
tatyana61 [14]3 years ago
8 0

Answer

X-2y = 2

3x + y = 6

Ox=-2

Ox=0

Ox=2

Ox=3

= 0

Step-by-step explanation:

easy

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Trevor is analyzing a circle, y2 + x2 = 49, and a linear function g(x). Will they intersect?
melomori [17]
We have a circumference that is given by the following equation:

x^{2}+y^{2}=49

We can write this equation in its standard form as follows:

 x^{2}+y^{2}=7^{2} \\ where \ the \ radius \ r=7

On the other hand, the linear function is given as the following table:

x \ \ \ \ \ \ \ \ g(x) \\ -1 \ \ -9.2 \\ 0 \ \ \ \ \ -9 \\ 1 \ \ \ \ \ -8.8

To check if the circle and the line intersects, let's substitute the equation of the line into the equation of the circle to see if there is a real solution, so:

x^{2}+(0.2x-9)^{2}=49 \\ \\ \therefore x^{2}+0.04x^{2}-3.6x+81=49 \\ \\ \therefore 1.04x^{2}-36x+32=0 \\ \\ Solving \ for \ x: \\ x_{1}=33.70 \\ x_{2}=0.91 \\ \\ Solving \ for \ y: \\ y_{1}=0.2(33.70)-9=-2.26 \\ y_{2}=0.2(0.91)-9=-8.18

 Finally the intersects are:

 P_{1}(33.70, -2.26) \ and \ P_{2}(0.91, -8.18)
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7 0
3 years ago
Read 2 more answers
If (a^3+27)=(a+3)(a^2+ma+9) then m equals
Ronch [10]

Answer:

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Step-by-step explanation:

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3 years ago
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The other 4 expressions match with the written descriptions.

So, you can choose those other 4 expressions.
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4 years ago
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inessss [21]

Answer:

b

Step-by-step explanation:

4 0
3 years ago
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<em>T= 250 + 45a.</em>

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