Answer:
Step-by-step explanation:
Join line EG with a straight edge.
Put a point in the middle of the circle.
Call it O.
GO and EO form a central angle.
GOE = 120 degrees
Any point on the circumference of a circle that is on the same side of EG as the peak of the central angle = 1/2 the central angle. It's much easier to do this with an example
Arc EOG = 120 degrees. The Central angle = the arc.
EFG = 1/2 EOG
EFG = 1/2 120
EFG = 60
11x + 5 = 60 Given
-5 -5 Subtract 5 from both sides.
11x = 55 Divide by 11
x = 55/11
x = 5
Answer:
<h3>Midpoint = (-3 ,-9)</h3>
Step-by-step explanation:
Answer:
g(x)=0 when x= 2 or when x= 5
The graph of g intercepts the x-axis at x= 2 and x= 5
The zeros of g are 2 and 5
Step-by-step explanation:
Answer:
x= -7, y= -5 and
x= 2, y= 13
This may also be written as (-7, -5) and (2, 13).
Step-by-step explanation:
Start by labelling the two given equations:
y= x² +7x -5 -----(1)
2x -y= -9 -----(2)
Let's solve by substitution!
Making y the subject of formula in equation (2):
From (2): y= 2x +9 -----(3)
Substitute (3) into (1):
2x +9= x² +7x -5
x² +7x -5 -2x -9= 0
x² +5x -14= 0
Factorise:
(x +7)(x -2)= 0
x +7= 0 or x -2= 0
x= -7 or x= 2
Find the respective values of y.
Substitute into (1):
y= (-7)² +7(-7) -5 or y= (2)² +7(2) -5
y= 49 -49 -5 or y= 4 +14 -5
y= -5 or y= 13
Thus, the solutions are (-7, -5) and (2, 13).