Answer:
Step-by-step explanation:
1,200 because 4x 3 is 12 and 40 x 30=1,200
Answer:
x=y
Step-by-step explanation:
let x be the number of tennis balls and y the number of rackets.
-We divide the number of balls by the number of rackets to find out their ratio of proportionality:

-Hence, for each one ball there is one racket, so;

-This relationship is linear in nature, a direct variation, and can be graphed as attached below:
<u>Given:</u>
It is given that the ridge is 360 inches tall.
<u>Assumptions:</u>
Assume you are 170.1 cm tall which equals 67 inches tall, the height from your eye to the floor is
inches.
The distance from your eye level to the bottom of the ridge is 427 inches.
Assume the angle A is 60°.
<u>To find the distance from you to your dog.</u>
<u>Solution:</u>
A right-angled triangle can be formed where the angle is 60°, the distance between you and the dog is the hypotenuse of the triangle and your height from the floor is the adjacent side of the triangle.
Assume the hypotenuse of the triangle measures x inches.
To determine the length of the hypotenuse, we determine the cos of the angle.



So if the ridge is 360 inches tall and you are 67 inches tall and the angle A is 60°, the distance between your dog and you is 854 inches.
Step-by-step explanation:
<u>Given equation:</u>
a. write a second equation so that (1,3) is the only solution of the system
To have only one solution the equation must have a different slope.
<u>Let it be 10, then the y-intercept of y = 10x + b is:</u>
<u>And the equation:</u>
b. Write a second equation so that the system has infinitely many solutions
<u>To have infinitely many solutions, both equations must be same:</u>
c. Write a second equation so that the system has no solutions.
<u>To have no solutions, the equations must have same slope but different y-intercepts:</u>