John's share of the money is 12.75.
38.25 ÷ 4.5 = 8.5
8.5 · 1.5 = 12.75
Answer: sin
= ± 
Step-by-step explanation:
We very well know that,
cos2A=1−2sin²A
⟹ sinA = ±
As required, set A = & cos a= 
,thus we get
sin =± 
∴ sin =±
= ±
since ,360° < <450°
,180° < <225°
Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.
hope it helped!
Answer:
Step-by-step explanation:
Let that number be 
. We can build an equation, and solve for .
less than half of is 
.
more than is 
.
We are given that the two quantities are equal, so we have that 
.
Adding to both sides gives 
.
Multiplying both sides by gives 
.
Subtracting 
from both sides gives 
.
Multiplying both sides by 
gives 
.
So, the number is 
and we're done!
The check is left as an exercise to the reader.
Answer:
1
Step-by-step explanation:
First, we can find the equation of the parabola. The standard form of a parabola is ax^2 + bx + c,
where c is the y-intercept. The y-intercept on the graph is -5, and every option starts with x^2, so the equation must be x^2 - 5. This rules out options 3 and 4.
Next, we can find the equation of the line. The options are all given in slope-intercept form: y = mx + b, where b is the y-intercept. The y-intercept on the graph is 1, and option 1 has 1 in the place of b. Therefore, option 1 is the answer.
Answer:
(0,0)
Step-by-step explanation:
y= -3x
The y intercept is the y value when x =0
Let x =0
y = -3(0)
y = 0
(0,0)
