Let's solve the sine equation.
1. Express sine function in the left side of equation:
.
2. Use the genereal solution to get the solution of your equation:
, where 
.
3. Find 
:
.
4. Substitute part 3 into part 2 and express x:
, where 
, where 
.
5. Solutions of your equation are:
, where .
Answer:
No. Rob was correct to extend the lines to the origin, but the points should be on a single straight line. He made two straight lines.
Step-by-step explanation:
this is from the sample responds so you can see what they want
Answer:
She will have $25 per week Stacey's rate of change is $25.
She will have $300 After 12 weeks.
Step-by-step explanation:
Given : Stacey has a part-time job at the bike shop. She saves $100 every four weeks for a new car.
To find : Her rate of change After four weeks, she will have $ After 12 weeks , she will have $ per week Stacey's rate of change is $ ?
Solution :
In every four weeks she saves $100.
In every one week she save 
.
In every one week she save $25.
After 12 week she save 
.
After 12 week she save $300.
The rate of change is 
She will have $25 per week Stacey's rate of change is $25.
She will have $300 After 12 weeks.
This is a linear relationship because:
(20-10)/(4-2)=(35-20)/(7-4)=m=5
So we have a line with a slope of 5, and the slope intercept form of a line is:
y=mx+b, and we have found that m=5
y=5x+b, now using any point we can solve for b, use (2,10)
10=5(2)+b
10=10+b
0=b so the line is:
y=5x
Answer:
(Choice A) A 16:10
(Choice C) C 48:30
(Choice D) D 32:20
Step-by-step explanation:
Given ratio
8 : 5
Select three ratios that are equivalent to 8:5
Check all options
(Choice A) A 16:10
= 16 / 10
Dividing by 2
= 8 / 5
= 8 : 5
(Choice B) B 50:80
= 50 / 80
Dividing by 10
= 5 / 8
= 5 : 8
(Choice C) C 48:30
= 48 / 30
Dividing by 6
= 8 / 5
= 8 : 5
(Choice D) D 32:20
= 32 / 20
Dividing by 4
= 8 / 5
= 8 : 5
(Choice E) E 64:35
= 64 / 35
The equivalent ratios to 8 : 5 are
(Choice A) A 16:10
(Choice C) C 48:30
(Choice D) D 32:20
