Answer:
Each point (or pair in a proportional relationship) must share the same difference
Step-by-step explanation:
The graph of a proportional relation is a straight line through the origin. Such a line has the same ratio of y/x everywhere.
A relation in which the difference is constant will be a straight line, but it won't be through the origin. Such a relation is not proportional.
Answer:
10 squared units
Step-by-step explanation:
This triangle is pretty easy since it creates a right triangle. So the base length and height length are pretty easy to identify.
The area of a triangle is .5*base*height.
The base length after drawing the points is a horizontal so just count it or do 4-0=4.
The height length after drawing the points is a vertical so just count it or do 4-(-1)=4+1=5.
So the area of the triangle is .5*4*5=.5(20)=10 units squared.
Now if you didn't fill like drawing it and you knew how to find the determinant.
You just compute
.5 times det| 0 -1 1 |
| 0 4 1 |
| 4 -1 1 |
.5[ 0 det| 4 1 | - -1 det| 0 1 | + 1 det | 0 4 | ]
| -1 1 | | 4 1 | | 4 -1 |
.5[ 0 - -1(0-4) + 1(0-16)]
.5[ 0 -4 -16]
.5[-20]
-10
And if you get a negative just take the absolute value of it giving you 10.
Rate of 3 every 10 minutes.
In 10 minutes there are 3 buses.
In 1 minute it is (3/10). For 1 hour = 60 minutes.
For 60 minutes = 3/10 * 60 = 18.
18 buses.
Answer:
x=49750
Step-by-step explanation:
0.1(x + 250) = 5,000
Divide each side by .1
0.1(x + 250)/.1 = 5,000/.1
x+250 =50000
Subtract 250 from each side
x+250-250 = 50000-250
x=49750
Answer:
2 a
Step-by-step explanation:
Possible derivation:
d/dx(2 a x + 2 a y)
Differentiate the sum term by term and factor out constants:
= 2 a (d/dx(x)) + d/dx(2 a y)
The derivative of x is 1:
= d/dx(2 a y) + 1 2 a
The derivative of 2 a y is zero:
= 2 a + 0
Simplify the expression:
Answer: 2 a
