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)
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Answer:
Step-by-step explanation:
Hey B is the correct answer as the x is negative and y is positive
Hope this helps!!!
10LW=V
L/10W= V/10W
L= V/10W
The cost of one shirt is 12.50 and cost of one pair of jeans is 24.75
Step-by-step explanation:
Let,
Cost of one shirt = x
Cost of pair of jeans = y
According to given statement;
4x+3y=124.25 Eqn 1
3x+5y=161.25 Eqn 2
Multiplying Eqn 1 by 3

Multiplying Eqn 2 by 4

Subtracting Eqn 3 from Eqn 4

Dividing both sides by 11

Putting 24.75 in Eqn 1

Dividing both sides by 4

The cost of one shirt is 12.50 and cost of one pair of jeans is 24.75
Keywords: linear equation, elimination method
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Answer:
See below.
Step-by-step explanation:
1.
(a) < PMR
(b) < QMR
(c) < QMN
(d) < RMN
2. m < C = 4x - 6
= 4(25) - 6
= 100 - 6
= 94 so < C is obtuse.
3. 8x + 2 = 90
8x = 90 - 2
8x = 88
x = 11.
4.
(a). < DBA and < DBC are right angles (90 degrees) because BD is perpendicular to AC.
(b) < DBA and < DBC are adjacent and they share the ray BD.
(c) < DBe and < ABE are complementary.
(d) < DBA and < DBC are supplementary
(e) 90 - 40 = 50 degrees
(f) 180 - 40 = 140 degrees.
(g) As the angles are complementary
3x + 2 + 4x + 4 = 90
7x = 90 - 2 - 4
7x = 84
x = 12.