Answer:
Step-by-step explanation:
If XY bisects DF at point E, then DE = EF.
Given DE = 2y and EF = 8y-3
2y = 8y-3
subtract 8y from both sides
2y-8y = 8y-8y-3
-6y = -3
y = 3/6
y = 1/2
y = 0.5
DF = DE+EF
DF= 2y+8y-3
DF = 10y - 3
DF = 10(0.5)-3
DF = 5-3
DF = 2
Answer:
first one, -4+-5=-9
second one, is d, -6 14/15
Step-by-step explanation:
i hope this helps. :)
Answer:
He should plant 100 acres of corn and 400 acres of wheat.
Step-by-step explanation:
This problem can be solved by a siple system of equations.
]x denotes the number of acres of corn
y denotes the number of acres of wheat
Building the system:
The Johnson Farm has 500 acres of land allotted for cultivating corn and wheat. This means that:

The cost of cultivating corn and wheat (including seeds and labor) is $42 and $30 per acre, respectively. Jacob Johnson has $16,200 available for cultivating these crops. This means that:

So, we have the following system


If he wishes to use all the allotted land and his entire budget for cultivating these two crops, how many acres of each crop should he plant?


I am going to write y as a function of x in 1), and replace in 2). So:
means that 






Now, going back to 1:

He should plant 100 acres of corn and 400 acres of wheat.
Answer:
4:30
Explanation:
Three hours before 7:35 is 4:35, but you also have to subtract the extra 5 minutes to make it 4:30
Answer:
To find the scale factor for a dilation, we find the center point of dilation and measure the distance from this center point to a point on the preimage and also the distance from the center point to a point on the image.
Step-by-step explanation: