2l+2w=100
2(w+20)+2w=100
2w+40+2w=100
4w+40=100
4w=60
w=15
l=w+20
l=15+20
Greatest length is 35ft.
Answer:
-8
Step-by-step explanation:
If we let x and y represent the first and second numbers, respectively, we can write the problem statement as the equations ...
We can multiply the first equation by -9 and add 4 times the second equation to get an equation in y alone:
-9(4x +5y) +4(9x +2y) = -9(-28) +4(11)
-37y = 296 . . . . . simplify
296/-37 = y = -8 . . . . . divide by the coefficient of y
The second number is -8.
Answer:
x=14, x=1
Step-by-step explanation:
View Image.
First factor the equation. Which numbers multiplies to 14 and adds up to -15? It's -14 and -1 so the equation is factored to (x-14)(x-1). I assume that you know how to do this.
Then set the values inside the parentheses equal to 0 and solve for x.
Answer: See each part below.
Part A: The y-intercept is the first value, or 12. That means that they bird is 12 miles from its nest when the time started.
Part B: The average rate of change is the slope. From 1 to 3 hours, the bird went from 20 to 36 or 16 miles. 16 miles in 2 hours is the same as 8 miles in 1 hour.
Part C: To find the extent of the domain, write and solve the following equation for 172 miles.
172 = 8x + 12
160 = 8x
20 = x
The domain will go up to 20 hours.
EXPLANATION:
1.We must locate the points that the exercise gives us in the Cartesian plane.
2.The figure that it gives us must be moved 3 units to the left and then 2 units up.
3.To correctly translate a figure, we must add the units that the exercise indicates and towards the correct direction, if it tells us that to the left is towards the negative axis, then each of the points given in the exercise we will transfer 3 units towards the left and then add each of the points two units up, then we see that the triangle takes new coordinates for the points.
4.The new coordinates for point E are (3,6)