Answer:23
/180
Step-by-step explanation:
−23/
4
/5
/−9= 23
/180
Step-by-step explanation:
To figure out your x-intercepts and y-intercepts you have to redo the equation and make it equal to zero.
Step 1: 8x + 9y - 72 = 0
Step 2: 8x + 9y = 72
Now you can figure out your intercepts! As long as you use the STANDARD FORM EQUATION which is Ax + By = C
Y-INTERCEPT (vertical line): (
, 0 )
X-INTERCEPT (horizontal line): ( 0 ,
)
Insert your numbers how it shows in the standard form equation and you should get something like this:
Y-INTERCEPT: (
, 0 )
<em>Simplified Y-INTERCEPT: </em>( 8 , 0 )
X-INTERCEPT: ( 0 ,
)
<em>Simplified X-INTERCEPT: </em><em> ( 0 , 9 )</em>
<em />
Insert that into your graph and you should be able to get your answer.
Answer:
y = x / 7
Step-by-step explanation:
For us to get direct variation equation, we must introduce a constant term.
If y varies directly as x:
y ~ x
y = Kx
Where K, is the introduced constant.
Now let's solve to get a direct variation equation.
When y=3 , x=21
We substitute, y=3 and x=21 in the
y = Kx
3 = K 21
Divide both sides by 21
3 / 21 = K 21/ 21
K = 3/21
K = 1 / 7
Therefore, we introduce K = 1 / 7 into the mother equation.
y = 1/7 * x
y = x / 7
The direct variation equation for the situation:
y = x / 7
Table C is a non linear function
Answer:
100 resident/km
Step-by-step explanation:
In order to find the population density, we have to calculate the area of the township first.
We know that:
L = length = 5 km
W = width = 4 km
So the area of the township is
A=L\cdot W = 5 \cdot 4 = 20 km^2A=L⋅W=5⋅4=20km
2
Now we can find the population density by using
d=\frac{N}{A}d=
A
N
where N is the number of residents, and A is the area.
Substituting N = 2000, we find:
d=\frac{2000}{20}=100 res./km^2d=
20
2000
=100res./km
2
so, 100 residents per kilometer squared