Try this formula
A squared plus B squared equals to C squared
Answer:
Point Form:
(
−
46
/3
,
−
44
/3
)
Equation Form:
x
=
−
46
/3
, y
=
−
44
/3
Step-by-step explanation:
Combine 1
/2
and x
.
y
=
x
/2
−
7
2
x
−
y
=
−
16
Replace all occurrences of y in 2
x
−
y
=
−
16 with x
/2
−
7
.
y
=
x
/2
−
7
2
x
−
(
x
/2
−
7
)
=
−
16
Simplify
2
x
−
(
x
/2
−
7
)
.
y
=
x
/2
−
7
3
x
/2
+
7
=
−
16
Solve for
x
in the second equation.
y
=
x
/2
-
7
x
=
−
46
/3
Replace all occurrences of x in y
=
x
/2
−
7
with −
46
/3
.
y
=
−
46
/3
/2
−
7
x
=
−
46
/3
Simplify −
46
/3
/2
−
7
.
y
=
−
44
/3
x
=
−
46
/3
The solution to the system of equations can be represented as a point.
(
−
46
/3
,
−
44
/3
)
The result can be shown in multiple forms.
Point Form:
(
−
46
/3
,
−
44
/3
)
Equation Form:
x
=
−
46
/3
, y
=
−
44
/3
Answer: 6200pi feet
Step-by-step explanation:
The circumference of a circle is the diameter*pi.
Therefore each circle around the park = 1550 pi feet.
Since he has to walk around the park 4 times, the total distance he walks is 1550 pi feet*4 = 6200pi feet
First blank: 0.1 (since that's the common difference)
Second blank: -3 (-4-(-1)=-3)
The correct answer is C) 1/3 and (0, 1)
The y-intercept part is somewhat simple. In order for it to be a y-intercept, the x value of the ordered pair must be 0. That is only true in B and C, therefore they are the only possible answers.
To find the slope, we must choose two points on the line and use the slope formula. We can start by using the y-intercept (0, 1) and also (3, 2). Now we use the slope formula.
m = (y2 - y1)/(x2 - x1)
In this equation m is equal to slope, the first point is (x1, y1) and the second point is (x2, y2)
m = (y2 - y1)/(x2 - x1)
m = (2 - 1)/(3 - 0)
m = 1/3
Now knowing the slope, you can match this with answer C.