Answer:
Step-by-step explanation:
We have to find the points that are on the graph by finding the order pair (x, y) We are given the x value, so substitute x in the given equation f(x) and find y.
The graph is a line
When f(x) = -3, what is x?
1 answer:
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ANSWER
(3, 11) and (−3, −7)
EXPLANATION
The given system of equations are:
and
or
We equate the two equations to obtain,
We rewrite in standard quadratic form to obtain,
This simplifies to
We solve for x to obtain,
When
When x=-3,
Therefore the solution for the system is (3, 11) and (−3, −7).
(3, 11) and (−3, −7)
EXPLANATION
The given system of equations are:
and
or
We equate the two equations to obtain,
We rewrite in standard quadratic form to obtain,
This simplifies to
We solve for x to obtain,
When
When x=-3,
Therefore the solution for the system is (3, 11) and (−3, −7).
Answer:
- arc BF = 76°
- ∠M = 31°
- ∠BGE = 121°
- ∠MFB = 111°
Step-by-step explanation:
(a) ∠FBM is the complement of ∠FBC, so is ...
∠FBM = 90° -52° = 38°
The measure of arc BF is twice this angle, so is ...
arc BF = 2∠FBM = 2(38°)
arc BF = 76°
__
(b) ∠M is half the difference between the measures of arcs BE and BF, so is ...
∠M = (1/2)(138° -76°) = 62°/2
∠M = 31°
__
(c) arc FC is the supplement to arc BF, so has measure ...
arc FC = 180° -arc BF = 180° -76° = 104°
∠BGE is half the sum of arcs BE and FC, so is ...
∠BGE = (1/2)(arc BE +arc FC) = (138° +104°)/2
∠BGE = 121°
__
(d) ∠MFB is the remaining angle in ∆MFB, so has measure ...
∠MFB = 180° -∠M -∠FBM = 180° -31° -38°
∠MFB = 111°
