Find the height of a parallelogram with base 6.75 and an area of 218.7 square metrrd
2 answers:
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Answer:
The solution of the system can be given as (5,-8).
Step-by-step explanation:
Given system of equations:
To solve the given system of equations:
Solution:
We will use substitution to solve the given system.
We will substitute the values in terms of
from the equation
into the other equation to solve for
Substituting into
.
We have:
<em>Using distribution.</em>
<em>Combining like terms.</em>
Adding 6 both sides.
Dividing both sides by 3.
∴
<em>Plugging in into
.</em>
We have,
∴
The solution of the system can be given as (5,-8).
Graph made up for the given function f(x)=(1/2)^x
Answer:
The equation of circle is +
= 18
Step-by-step explanation:
Given the endpoints of the diameter of a circle: (-2,-3) and (4,-1)
We know that the equation of circle is
+
=
where (x,y) is any point on the circle, (h,k) is center of the circle and r is radius of circle.
To find (h,k): the center is midpoint of diameter
Midpoint of diameter with end points (x1,y1) and (x2,y2) is given by
( ,
)
( ,
)
(1,2)
Hence (h,k) is (1,2)
Substituting values of (h.k) and (x.y) as (1,2) and (4,-1) respectively in equation of circle, we get
+
=
= 18
Now substituting values of (h,k) and in equation of circle, we get
+
= 18
Hence the equation of circle is +
= 18