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mihalych1998 [28]
3 years ago
10

The graph shows two lines, A and B.

Mathematics
2 answers:
scoundrel [369]3 years ago
8 0

Answer:

second option: (4, 4) is the solution to both lines A and B.

Step-by-step explanation:

You know that the equation of line A is:

y=-3x+15

and the equation of line B is:

y=\frac{1}{2}x+2

The point in which the line A intersects with the line B is the solution of the sytstem of equations.

You can observe in given graph that the point of intersection of Line A and Line B is: (4,4)

Therefore (4, 4) is the solution to both lines A and B.

Svetach [21]3 years ago
6 0

Answer:

(4, 4) is the solution to both lines A and B.

Step-by-step explanation:

Given graph shows two lines, A and B.

Based on the graph, we need to find about which statement is correct about the solution to the system of equations for lines A and B. Where give choices are:

(4, 4) is the solution to line A but not to line B.

(4, 4) is the solution to both lines A and B.

(5, 1) is the solution to line B but not to line A.

(0, 2) is the solution to both lines A and B.

From graph we can see that both lines intersect at point (4,4). Since solution lies on both lines so the correct choice is:

(4, 4) is the solution to both lines A and B.

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The circumference of a circle is 65?. In terms of pi, what is the area of the circle?
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Answer:

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Step-by-step explanation:

A few formulas an definitions which will help us:

(1) \pi=\frac{c}{d}, where c is the circumference of a circle and d is its diameter

(2) A=\pi r^2, where A is the area of a circle with radius r. To put it in terms of d, remember that a circle's diameter is simply twice its radius, or mathematically, (3) d=2r \rightarrow r=\frac{d}{2}.

We can rearrange equation (1) to put d in terms of π and c, giving us (4) d = \frac{c}{\pi}, and we can make a few substitutions in (2) using (3) and (4) to get use the area in terms of the circumference and π:

A=\pi r^2\\=\pi\left(\frac{d}{2}\right)^2\\=\pi\left(\frac{d^2}{4}\right)\\=\pi\left(\frac{(c/\pi)^2}{4}\right)\\=\pi\left(\frac{c^2/\pi^2}{4}\right)\\=\pi\left(\frac{c^2}{4\pi^2}\right)\\\\=\frac{\pi c^2}{4\pi^2}\\ =\frac{c^2}{4\pi}

We can now substitute c for our circumference, 65, to get our answer in terms of π:

A=\dfrac{65^2}{4\pi}=\dfrac{4225}{4\pi}=1056.25\pi

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Answer:

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Step-by-step explanation:

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