Given:
The equation of a linear function is:
To find:
The y-intercept and slope of the given equation, then draw the graph of the equation.
Solution:
Slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept
We have,
...(ii)
On comparing (i) and (ii), we get
Therefore, the y-intercept is -1 and the slope of the line is 
.
It means the graph intersect the y-axis at point (0,-1) and having slope . So, the graph of the equation is shown below.
For A) the answer is 0.51. For B) 1445
F = final amount = unknown
P = 7000 is the principal (amount loaned)
i = 0.05 is the decimal form of 5% interest rate
t = 3 years go by
Plug those three values into the formula below and simplify
F = P*(1+i)^t
F = 7000*(1+0.05)^3
F = 7000*(1.05)^3
F = 7000*(1.157625)
F = 8103.375
F = 8103.38
<h3>Answer: Choice A) $8,103.38</h3>
Answer:
see image...
start with Graphing Form: y = a(x-h)²+ k
knowing that h is the x value (negative of it) of the vertex , and k is the y value of the vertex
Graphing Form Equation: y = a(x+3)²+32
you are also given that when the x value is 5 the y value has to be 0
0 = a(4)^2 + 32
a has to be - 1/2
Step-by-step explanation:
<u>Given</u>:
Given that the circle with center O.
The radius of the circle is OB.
The chord of the circle O is PQ and the length of PQ is 12 cm.
We need to determine the length of the segment PA.
<u>Length of the segment PA:</u>
We know that, "if a radius is perpendicular to the chord, then it bisects the chord and its arc".
Thus, we have;
Substituting the value PQ = 12, we get;
Thus, the length of the segment PA is 6 cm.
Hence, Option d is the correct answer.
