It would be 0.95 you judt divide the top jumberto thebottom one
Answer:
<u>Laura has to walk at 2 1/4 miles per hour or faster to arrive to her job on time.</u>
Step-by-step explanation:
1. Let's review the data given to us for solving the question:
Distance from Laura's home to her job = 4 1/2 miles
Time when Laura starts to walk to her job : 9:00 a.m.
Time when Laura is scheduled to start working : 11:00 a.m.
2. Will she arrive at her job on time?
Time Laura has to complete the distance from her home to her job = 2 hours (11 -9)
Speed that Laura need to walk to arrive to her job on time = Distance from Laura's home to her job/Time Laura has to complete the distance from her home to her job
Speed that Laura need to walk to arrive to her job on time = 4 1/2 miles/2 hours = (4 1/2)/2 = (9/2)/2 = 9/2 * 1/2 = 9/4 = 2 1/4
Speed that Laura need to walk to arrive to her job on time = 2 1/4 miles per hour.
<u>Laura has to walk at 2 1/4 miles per hour or faster to arrive to her job on time.</u>
Answer:
Step-by-step explanation:
6
Substitute y = -x into the first equation:
-8x - 7(-x) = -5
-8x + 7x = -5
-x = -5
x = 5
Substitute x = 5 into y = -x
y = -(5)
y = -5
Answer: x = 5, y = -5
Answer:
The center is -1,5 and the radius is 2
Step-by-step explanation:
Subtract 22 from both sides of the equation. x 2 + y 2 + 2 x − 10 y = − 22 Complete the square for x 2 + 2 x . ( x + 1 ) 2 − 1 Substitute ( x + 1 ) 2 − 1 for x 2 + 2 x in the equation x 2 + y 2 + 2 x − 10 y = − 22 . ( x + 1 ) 2 − 1 + y 2 − 10 y = − 22 Move − 1 to the right side of the equation by adding 1 to both sides. ( x + 1 ) 2 + y 2 − 10 y = − 22 + 1 Complete the square for y 2 − 10 y . ( y − 5 ) 2 − 25 Substitute ( y − 5 ) 2 − 25 for y 2 − 10 y in the equation x 2 + y 2 + 2 x − 10 y = − 22 . ( x + 1 ) 2 + ( y − 5 ) 2 − 25 = − 22 + 1 Move − 25 to the right side of the equation by adding 25 to both sides. ( x + 1 ) 2 + ( y − 5 ) 2 = − 22 + 1 + 25 Simplify − 22 + 1 + 25 . ( x + 1 ) 2 + ( y − 5 ) 2 = 4 This is the form of a circle. Use this form to determine the center and radius of the circle. ( x − h ) 2 + ( y − k ) 2 = r 2 Match the values in this circle to those of the standard form. The variable r represents the radius of the circle, h represents the x-offset from the origin, and k represents the y-offset from origin. r = 2 h = − 1 k = 5 The center of the circle is found at ( h , k ) . Center: ( − 1 , 5 ) These values represent the important values for graphing and analyzing a circle.
