Answer:
Look below
Step-by-step explanation:
To verify that the solution is (3,4) we can plug the numbers back into the equation.
Remember that the solution to a linear equation is represented in the form (x,y). Therefore we plug 3 in for x and 4 in for y.
4=3+1
4=4 Correct!
Now we need to check the second equation
4=-2(3)+10
4=-6+10
4=4 Correct!
Therefore the solution is (3,4)
Answer:
1. More magnets are longer than 2 1/2
2. 10 magnets measure in whole numbers and 5 magnets between 2 whole numbers
3. Because the shortest magnet is 1 inch and the longest magnet is 4 inches.
Step-by-step explanation:
1. There are 7 magnets that are longer than 7 1/2 and only 6 magnets that are shorter than 2 1/2. (The 2 magnets that are exactly 2 1/2 are neither longer nor shorter therefore they do not apply to the question.)
Answer:
The correct option is;
A total of forty hours a week
Step-by-step explanation:
The given information in the question are;
The number of hours of sleep Nina gets during weeknights = five hours
The number of hours of sleep Nina gets per night on weekends = ten hours
The number of days in a week = 5 days
The number of days in a weekend = 2 days
Therefore;
The number of hours of sleep Nina gets per week = 5 days × 5 hours/day + 2 days × 10 hours/day
∴ The number of hours of sleep Nina gets per week = 25 hours + 20 hours = 45 hours
The number of hours of sleep Nina gets per week = 45 hours
To better concentrate on schoolwork, Nina could get a total of forty hours a week of sleep a week to increase the number of hours she spends weekly on her schoolwork by up to 5 hours (45 hours - 40 hours).
Answer:
see explanation
Step-by-step explanation:
Using the trig identity
sin²x + cos²x = 1 , then
sin²x = 1 - cos²x
cos²x = 1 - sin²x
Consider the left side
sin²A - cos²B
= (1 - cos²A) - (1 - sin²B) ← distribute parenthesis
= 1 - cos²A - 1 + sin²B
= sin²B - cos²A
= right side , thus verified
Answer:
it's a bit blurry but if I aint wrong it's the 2nd one that say 2/5