X + x+1 = 79
2x + 1 - 1 = 79 - 1
2x = 78
2x/2 = 78/2
x=39
Nick's number was 39
Answer:
sin(-pi/2) = -1
Step-by-step explanation:
sin (pi/12) cos((7pi)/12) -cos (pi/12) sin((7pi)/12) = -1
cos(-pi/2) = 0
sin(-pi/2) = -1
cos((2pi)/3) = -1/2
sin((2pi)/3) = (√3)/2
The point where a graph intersects the y-axis is called the y-intercept.
Hope this helps!
Your fortune is "You will find something that you have lost before."
Answer:
HA = 16.2 m
DE = 17 m
Step-by-step explanation:
From the base of the cuboid, HDA will form a right angle triangle, where;
DA = 15 m
HA = 6 m
HA is the hypotenuse
Using pythagoras theorem;
HA = √(15² + 6²)
HA = √(225 + 36)
HA = √261
HA = 16.155 m
Approximating to 1 decimal place gives;
HA = 16.2 m
Similarly, HDE will also form a right angle triangle.
Thus;
DE = √((HD)² + (HE)²)
HD = 16.2 m
HE = 5 m
Thus;
DE = √(16.2² + 5²)
DE = 16.95 m
Approximating to 1 decimal place gives
DE = 17 m
Writing both in slope intercept form:
Line 1:
2x + 2y = 4 Subtract 2x
2y = -2x + 4 Divide both sides by 2
y = -x + 2
Line 2:
y = -x + 5
The lines have the same slope, -1, and different y-intercepts.
They are parallel lines
