Answer:
Number 1: x≈4.9412824
Number 2: x=3√10,−3√10x=310,-310
Decimal Form:
x=9.48683298...−9.48683298...
Number 3: x≈−5.04938819
Number 4: x=−1+2√6,−1−2√6x=-1+26,-1-26
Decimal Form:
x=3.89897948…,−5.89897948…
Number 5: x=−7+√93,−7−√93x=-7+93,-7-93
Decimal Form:
x=2.64365076…,−16.64365076…
Number 6: x=1+i√3910,1−i√3910
A=binomial
B=trinomial
C=polynomial
D=binomial
E=trinomial
F=binomial
The required system of linear equations is y = -4x + 1 and y = 5x - 8.
Given that,
From the graph,
system of linear equation is to be determined.
Here,
The slope-intercept form of linear equation.
y = mx + c - - - - - (1)
Equation of line 1
Since point (-1, 5), (0, 1) lies on the line 1.
The slope of line 1,
m = 1-5 / 0+1
m = -4
Now put this slope and 1 point in the equation.
5 = -4(-1) + c
c = 5 - 4
c = 1
now, put m and c in equation 1
y = - 4x + 1
Similarly, the equation of line 2 is given as y = 5x - 8.
Thus, the required system of linear equations is y = -4x + 1 and y = 5x - 8.
Learn more about lines here:
brainly.com/question/2696693
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Answer:
Step-by-step explanation:
The equation for a parabola can also be written in the "vertex form":

Where,
the vertex of the parabola is the point (h, k).
The value of a is the term that accompanies x ^ 2
Substituting values we have:

Rewriting we have:

For the point (-3, 8) we have:

From here, we clear the value of a:

Then, the equation is given by:
Answer:
The equation of the parabola in vertex form is: