Answer:
an = a1 + d(n - 1)
a88 = 4 + (-5)(88 - 1)
a88 = 4 + (-5)(87)
a88 = 4 - 435
a88 = -431
So, the 88th term of the arithmetic sequence is -431.
y = -2x + 9
y = 4x - 3
y is isolated in both equations, thus you may set the expressions (-2x + 9) and (4x - 3) equal to each other and solve for x.
-2x + 9 = 4x - 3
Subtract 9 from both sides.
-2x + 9 - 9 = 4x - 3 - 9
-2x = 4x - 12
Subtract 4x from both sides.
-2x - 4x = 4x - 12 - 4x
-6x = -12
Divide both sides by -6.
-6x/-6 = -12/-6
x = 2
Substitute 2 for x into one of the original equations to find y.
y = 4x - 3 (given)
y = 4(2) - 3 (substitute)
y = 8 - 3 (multiply)
y = 5 (subtract)
Plug x- and y-values into original equations to check work.
5 = -2(2) + 9
5 = - 4 + 9
5 = 5
5 = 4(2) - 3
5 = 8 - 3
5 = 5
Answer:
x = 2 and y = 5; (2, 5).
Angle B=118 degrees
angle D=118 degrees
angles C=62 degrees
angle A=62 degrees
angle G=118 degrees
angle K=62 degrees
angle P=62 degrees
angle L=62 degrees
angle N=118 degrees
angle M=118 degrees
angle W=62 degrees
angle I=118 degrees
angle F=62 degrees
angle J=62 degrees
angle E=49 degrees
angle H=118 degrees
angle R=53 degrees
angle U=71 degrees
angle T=109 degrees
angle V=109 degrees
angle S=35.5
angle Q=35.5
Answer:
Amplitude = 4
Step-by-step explanation:
The general form of a sine curve would be 
where A is the <u>"amplitude"</u>, or the "tallness" or "shortness" of the graph.
Technically, amplitude is the absolute value of the number that is multiplied in front of "Sin". So the amplitude is 4.
<u>Note:</u> The negative sign in front of 4 plays the role of "flipping" the curve upside down.
Answer:
Step-by-step explanation:
The starting equation is
12-(3x+13)=0
First add 3x+13 to both sides so that only 12 is on the left
12=3x+13
now subtract 13 from both sides to isolate your variable
-1=3x
Finally divide both sides by 3 to get your final answer
x=-1/3
