Which graph correctly solves the system of equations below? x2 + y2 = 4 y = x + 2

Mathematics

2 answers:

Maru [420]3 years ago

6 0

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$x^{2} +y^{2}=4$ -----> equation A

This is the equation of a circle centered at the origin with radius equal to $2\ units$

$y=x+2$ -----> equation B

This is a linear equation

we know that

The solution of the system of equations is the intersection points both graphs

using a graphing tool

see the attached figure

the solution are the points $(-2,0)$ and $(0,2)$

melamori03 [73]3 years ago

5 0

This graph correctly finds the solutions to be
.. (x, y) = (0, 2) or (-2, 0)

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Stolb23 [73]

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3 years ago

In circle A below, chord BC and diameter DAE intersect at F. If arc CD = 46° and arc BE = 78°, what is m_BFE? D B А

wel

Given:

Consider the below figure attached with this question.

In circle A below, chord BC and diameter DAE intersect at F.

The arc CD = 46° and arc BE = 78°.

To find:

The measure of angle BFE.

Solution:

According to intersecting chords theorem, if two chords intersect inside the circle then the angle on the intersection is the average of intercepted arcs.

Using intersecting chords theorem, we get

$m\angle BFE=\dfrac{1}{2}(m(arcCD)+m(arcBE))$