Pretend these are coordinates that you can use to find the slope of the line.
(10, 40) and (15, 60). Fit these into the slope formula to find the slope of the line you are looking for:
and the slope is 4. Now use one of the points and the slope of 4 to solve for b, the y-intercept:
40 = 4(10) + b so b = 0. The equation of the line then is y = 4x + 0 or just
y = 4x
The general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
<h3>How to determine the circle equation?</h3>
The center of the circle is given as:
Center, (a,b) = (-4,9)
The diameter is given as:
d = 10
Calculate the radius (r)
r = 10/2 = 5
The circle equation is then calculated using:
(x - a)² + (y - b)² = r²
So, we have:
(x + 4)² + (y - 9)² = 5²
Expand
x² + 8x + 16 + y² - 18y + 81 = 25
Collect like terms
x² + y² + 8x - 18y + 16 + 81 - 25 = 0
Evaluate
x² + y² + 8x - 18y + 72 = 0
Hence, the general equation that represents the circle is x² + y² + 8x - 18y + 72 = 0
Read more about circle equations at:
brainly.com/question/1559324
Answer:
a) C(x) = 4x + 350
b) 13x; $13
c) 39
Step-by-step explanation:
a) Initial cost of lawnmower = $350
Maintenance cost for 1 lawn = $4
Maintenance cost for x lawns = 4x
Total cost function, C(x) = 4x + 350
b) Revenue = Cost + Profit
= C(x) + P(x)
= 4x + 350 + 9x - 350
= 13x
Charge per lawn = 
= 
c) For Jimmy to make a profit, P(x) must be greater than zero i.e.
The smallest integer value of x that satisfies this inequality is 39. Therefore, Jimmy needs to mow 39 lawns in order to start making profit.
Answer:
1st one= B 25 cents
2nd one= D 2 miles
Step-by-step explanation:
1.
8x3=24
6/24=25
= 25 cents
2.
1.6 km= 1 mile
so 1/2 of a mile =
0.8 km
1/4 of an hour = 15 minutes
0.8km= 15 minutes
15x3= 45 minutes
0.8km x 3= 2.4km
2.4km = 2 miles
hope it helps hunney xx
Answer: 4(3+1)/4c-q^1/2d i think tht is how you do it...
Step-by-step explanation:
apply the distribuitive property to create an equivalent expression
4
(
3
+
1
)
4
c
−
q
1
2
d
Write the problem as a mathematical expression.
apply the distribuitive property to create an equivalent expression
4
(
3
+
1
)
4
c
−
q
1
2
d
Simplify.
4
(
3
+
1
)
4
c
−
q
2
d
Add
3
and
1
.
4
⋅
4
4
c
−
q
2
d
Simplify the denominator.
Tap for more steps...
4
⋅
4
8
c
d
−
q
2
d
Multiply
4
by
4
.
16
8
c
d
−
q
2
d
Multiply the numerator by the reciprocal of the denominator.
16
2
d
8
c
d
−
q
Multiply
16
2
d
8
c
d
−
q
.
Tap for more steps...
32
d
8
c
d
−
q
