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liraira [26]
3 years ago
6

What is the value of x? X= in

Mathematics
2 answers:
IrinaVladis [17]3 years ago
7 0
X = 24 inches because the ratio between the larger triangle and smaller triangle is 3 to 1
dsp733 years ago
4 0
From the small triangle to the larger triangle, there is a scale factor of 3...because 5 * 3 = 15.

so because of this scale factor, x would be : 8 * 3 = 24 <==
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Trevor is analyzing a circle, y2 + x2 = 49, and a linear function g(x). Will they intersect?
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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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