The graph of the circle equation is graph (d)
<h3>How to determine the circle?</h3>
The equation is given as:
x^2 + y^2 - 4x + 9y -7 = 0
Rewrite as:
x^2 - 4x + y^2 + 9y = 7
Express (x^2 - 4x) and (y^2 + 9y) as perfect squares.
So, we have:
(x - 2)^2 + (y + 3)^2 = 7 + 4 + 20.25
Evaluate the sum
(x - 2)^2 + (y + 3)^2 = 31.25
A circle equation is represented as:
(x - h)^2 + (y - k)^2 = r^2
Where
Center = (h, k)
Radius = r
So, we have:
(h, k) = (2, -3)
r^2 = 31.25
r = 5.5
The circle that has a center of (2, -3) and a radius of 5.5 is graph d
Hence, the graph of the circle equation is graph (d)
Read more about circle equation at:
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Answer:
oh thats cool
Step-by-step explanation:
In mathematics, the irrational numbers are all the real numbers which are not rational numbers, the latter being the numbers constructed from ratios (or fractions) of integers.
Answer:
a) A student travelling to school on public transport: 15/52 or 0.231
b) A student walking to school: 16/52 or 0.308
c) A student not cycling to school: 43/52 or 0.827
Step-by-step explanation:
Total people = 52
Travel Method Frequency
Public Transport 12
Car 15
Cycle 9
Walk 16
Find the relative frequency of.
The formula used will be: 
a) A student travelling to school on public transport:
Given Frequency: 12
Size of sample space: 52
Apply formula: 
Fraction = 12/52
Decimal = 0.231
b) A student walking to school
Given Frequency: 16
Size of sample space. 52
Apply formula: 
Fraction = 16/52
Decimal = 0.308
c) A student not cycling to school.
We will consider all students except those who cycle.
12+15+16 = 43
Given Frequency: 43
Size of sample space. 52
Apply formula: 
Fraction = 43/52
Decimal = 0.827
Answer:
Step-by-step explanation:
hello:
D. (9,13) because when x=9 so y=9+4 = 13.....(right)