Answer:
A general line is written as:
y = a*x + b
where:
a is the slope
b is the y-intercept.
a) y-intercept = 2 and slope = 7.
This line is:
y = 7*x + 2
b) y-intercept = -1 and is parallel to y= 5x - 7.
Now, if two linear equations are parallel if they have the same slope and different y-intercept. Then if we want a line parallel to y= 5x - 7, this means that the slope of this line must also be equal to 5.
y = 5*x + (-1)
c) y-intercept 2 and is inclined at 45° to the x- axis.
When we have an inclination of A degrees from the x-axis, the slope of the equation is given by: a = Tan(A)
In this case, we have A = 45°
Then the slope is a = Tan(45°) = 1
Then the equation of this line is:
y = 1*x + 2
I Believe That The Answer Is 4
Question:
Katy makes 48 cookies an hour. If she has 24 already, how long would it take her to make 120?
Answer:
It takes 2.5 hours for Katy to make 120 cookies
Step-by-step explanation:
Given:
Time taken to make 48 cookies = 1 hour
To Find:
Time taken to make 120 cookies = ?
Solution:
Time taken to make 48 cookies = i hour
So now time taken to make 1 cookie = 
So time taken to make 120 cookies
= Number of cookies X time taken to make one cookie
=>
=>
=> 2.5 hours
Answer:
x = 7 , -1
Step-by-step explanation:
<u>SOLUTION :-</u>

- Add 11 to both the sides.


- Divide both the sides by 4.


- Root square both the sides.


Here , x will have two values -
1) 

2) 

<u>VERIFICATION :-</u>
When x = 7 ,





When x = -1 ,





Answer:
15.62
Step-by-step explanation:
The length XY is found from the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((4 -(-8))² +(-6 -4)²) = √(12² +(-10)²) = √244
d ≈ 15.62 . . . units
The length of XY is approximately 15.62 units.