<h2>
Rate at which area is increasing is 1.08 m²/s.</h2>
Step-by-step explanation:
Area of triangle is with side a and b and angle C between them is given by
A = 0.5 ab SinC
Here we need to find how area changes with a and b fixed and C is changing,
We have
a = 8 m
b = 9 m
Substituting
Rate at which area is increasing is 1.08 m²/s.
Answer:
Yes, the relationship can be described by a constant rate of $18.75 per dog
Step-by-step explanation:
see the attached figure to better understand the problem
Let
x ----> the number of dogs
y ---> the amount of money earned
we have the points
step 1
Find the slope with the first and second point
step 2
Find the slope with the first and third point
Compare the slopes
The slopes are the same
That means, that the three points lies on the same line
therefore
Yes, the relationship can be described by a constant rate of $18.75 per dog
Answer:
srry
Step-by-step explanation:
Answer:
0.7
Step-by-step explanation:
10y = 7x + 5
Divide both sides by 10.
y = 7x/10 + 5/10
y = 0.7x + 0.5
On a straight line of the form y = kx + m, k is the slope of the line.
In our line, y = 0.7x + 0.5, k is 0.7. Thus, the slope of our function is 0.7
Answer: 0.7
1)
I:x-y=-7
II:x+y=7
add both equations together to eliminate y:
x-y+(x+y)=-7+7
2x=0
x=0
insert x=0 into II:
0+y=7
y=7
the solution is (0,7)
2)
I: 3x+y=4
II: 2x+y=5
add I+(-1*II) together to eliminate y:
3x+y+(-2x-y)=4+(-5)
x=-1
insert x=-1 into I:
3*-1+y=4
y=7
the solution is (-1,7)
3)
I: 2e-3f=-9
II: e+3f=18
add both equations together to eliminate f:
2e-3f+(e+3f)=-9+18
3e=9
e=3
insert e=3 into I:
2*3-3f=-9
-3f=-9-6
-3f=-15
3f=15
f=5
the solution is (3,5)
4)
I: 3d-e=7
II: d+e=5
add both equations together to eliminate e:
3d-e+(d+e)=7+5
4d=12
d=3
insert d=3 into II:
3+e=5
e=2
the solution is (3,2)
5)
I: 8x+y=14
II: 3x+y=4
add I+(-1*II) together to eliminate y
8x+y+(-3x-y)=14-4
5x=10
x=2
insert x=2 into II:
3*2+y=4
y=4-6
y=-2
the solution is (2,-2)
