The y-intercept is the value of y when the graph intersects the y-axis. Graphs intersect the y-axis when x=0, so we just substitute in x=0 to get:
y=2(0+3)(0+4)
y=2(3)(4)
y=24
Therefore, 24 is our answer.
Hope I helped :)
Answer:
The answer to the question is a rectangle.
Step-by-step explanation:
It takes Mercury <span>approximately 58 days, 15 h, and 30 min to complete a full rotation..
We are going to write the time not in days, hours and minutes, but only hours.
This means that we have to write 58 days as hours and 30 minutes as hours.
1 day is 24 hours, so 58 days are
58*24=(50+8)*(20+4)=50*20+50*4+8*20+8*4=1,000+200+160+32
=1,200+192=1,392 (hours)
60 minutes are 1 hour, so 30 minutes are 0.5 hours.
Thus
</span>58 days, 15 h, and 30 min are (1,392+15+0.5) hours = 1,407.5 hours
Answer: 1,407.5 hours
Answer x = 12 and y = 9
Step by step
First identify the equations
The sum of two numbers is 21
x + y = 21
Change to y intercept for ease of math
y = 21 - x ( call this equation a)
Three times the larger is equal to four times the smaller
3x = 4y (call this equation b)
Now substitute the value of y = 21 -x into equation b
3x = 4(21-x)
Distribute
3x = 84 - 4x
Now we want to isolate x by adding 4x to each side
3x + 4x = 84 -4x + 4x
Combine like terms
7x = 84
Now solve for x by dividing both sides by 7
x = 12
Now to find y
Using equation a from above
y = 21 - x
Substitute our x value of 12 into equation
y = 21 - 12
solve for y
y = 9
Now check your work
x = 12 and y = 9
The sum of two numbers is 21
12 + 9 = 21
Three times the larger (x) is equal to four times the smaller (y)
3x12 = 4x9
36 = 36
Problem solved!!
