Answer:
Therefore (x,y)=(3,7)
Step-by-step explanation:
put the second equation into the first
x+4=3x-2
x-3x=-2-4
-2x=-6
x=3
plug x=3 into the second equation
y=3+4=7
To factor a difference of squares, the following steps are undertaken: Check if the terms have the greatest common factor (GCF) and factor it out. Remember to include the GCF in your final answer. Determine the numbers that will produce the same results and apply the formula: a2– b2 = (a + b) (a – b) or (a – b) (a + b)
Answer:
4.5 miles per hour is her rate in miles per hour
Step-by-step explanation:
We want to convert 20 ft per second to miles per hour
If she jogs 20 ft in 3 seconds , then in one second , she will jog 20/3 ft
So convert 20/3 ft/second to miles per hour
Mathematically;
1 mile = 5280 feet
So one feet = 1/5280 mile
1 hour = 3600 seconds
1 second = 1/3600 hour
So, to go from miles/hour to ft/second ; we shall multiply by 1/5280 and divide by 1/3600
Hence; we have;
(20/3 * 1/5280)/1/3600
= 20/3 * 1/5280 * 3600/1
= 4.4545 which is 4.5 miles per hour
Answer:
480 feet.
Step-by-step explanation:
We are told that the function 
models Jason's height above ocean measured in feet as a function of time and t is the time in seconds from jumping off.
To find the height of cliff we need to substitute t=0 in our given function as at t=0 we will get Jason's height above ocean which is same as the height of the cliff.
Upon substituting t=0 in our function we will get,
Since, the function gives Jason's height above ocean in feet, therefore, the cliff was 480 feet high.
Answer:
Similar - Top center, bottom left
Not similar, different shape - Top left, bottom right
Not similar, different ratio of side lengths - Top right, bottom center
Step-by-step explanation:
We can see automatically that the top left and bottom right are not similar because they are a triangle and a trapezoid, not a rectangle.
Top right is not similar because of its different ratio of sides. The ratio for the sides of the original rectangle is 3:7, while the ratio of the top right is 2:3.5 .
Bottom center is not similar because of its different ratio of sides as well, as its ratio is 6:12
