Answer:
c = -5
d = -10
Step-by-step explanation:
A biologist is tracking a bird when it was at A.
Coordinates of point A are (2, 4).
This bird moves from point A to point B.
Coordinates of the point B are (-3, -6).
Vector form of vector represented by 
By substituting the coordinates of points A and B,

= < -5, -10 >

By comparing it with the vector form of [cd]
c = -5
d = -10
Answer: Corn = 200 acres
Wheat= 400 acres
Step-by-step explanation:
Let the number of acres of corn = c
Let the number of acres of wheat = w
The Mulder Farm has 600 acres of land allotted for raising corn and wheat. This will be:
c + w = 600
c = 600 - w
Cultivation cost equals:
= 40c + 25w = 18000
Since c = 600 - w, we slot it into the equation
40c + 25w = 18000
40(600 - w) + 25w = 18000
24000 - 40w + 25w = 18000
Collect like terms
24000 - 18000 = 40w - 25w
6000 = 15w
w = 6000/15
w= 400
400 acres of wheat will be planted
Since c + w = 600
c = 600 - 400
c = 200
200 acres of corn should be planted
Answer:
Her friend gave Sheila a markdown of $15.
Step-by-step explanation:
Given;
Amount paid for 2 tickets = $90
Actual amount for each ticket = $52.50
we need to find the markdown value did her friend gave to Shelia.
Solution:
each ticket = $52.50
2 tickets = Cost of 2 tickets.
By using unitary method we get;
Cost of 2 tickets = 
Now To find the markdown we will subtract the Amount paid for 2 tickets from the actual Amount of 2 tickets.
framing in equation form we get;
Markdown 
Hence her friend gave sheila a markdown of $15.
Answer:
<h2>C (-2, 4)</h2>
Step-by-step explanation:
The point-slope equation of a line:

m - slope
(x₁, y₁) - point
We have the equation

Therefore
m = 3
(x₁, y₁) = (-2, 4)
Congruent means same so the equation is
5x+24=9x-17
Subtract 5x on both sides
24=4x-17
Add 17 to both sides
41=4x
Divide by 4
10.25