Graphing is one way to do the problem.But sometimes, graphing it is hard to do.So here’s an algebraic method.
If M(m1, m2) is the midpoint of two points A(x1, y1) and B(x2, y2),then m1 = (x1 + x2)/2 and m2 = (y1 + y2)/2.In other words, the x-coordinate of the midpointis the average of the x-coordinates of the two points,and the y-coordinate of the midpointis the average of the y-coordinates of the two points.
Let B have coordinates (x2, y2) in our problem.Then we have that 6 = (2 + x2)/2 and 8 = (3 + y2)/2.
Solving for the coordinates gives x2 = 10, y2 = 13
Answer:
9 yards
Step-by-step explanation:
THE QUESTION ABOVE ISN'T COMPLETE THEN I FIND THE SAME QUESTION WITH JUST CHANGE IN VALUES. CHECK IT BELOW;
A 208-yard-long road is divided into 16 parts of equal length. Mr. Ward paints a 4-yard-long strip in each part. How long is the unpainted strip of each part of the road?
EXPLANATION:
From the question, a 208-yard-long road is been parted into into 16 parts and they all have equal length.
Then we can determine the Length of each part as
(208-yard-long road/16 parts )
= 13
Then each part has a length of 13 yards
From the question, we know that 4-yard-long strip was painted in each part by Mr. Ward. Which means to determine the
unpainted strip of each part, we are going to use the expresion below.
(Length of each strip - length of painted strip)
= (13 yards - 4-yard-long strip )
= 9 yards
Therefore, the length of unpainted strip of each part of the road is 9 yards
75/200 movie goers watching 3D were students. 37.5% were students
50/100 movie goers watching 2D were students. 50% were students.
Answer:
y = root under 24 (evaluate it if necessary)
or y = 2 root 6
Step-by-step explanation:
Let the reference angle be x
for the triangle in left,
b = 6-4 = 2
Now,
taking x as refrence angle,
cosx = b/h
or, cosx = 2/h
again,
for the bigger triangle,
taking x as reference angle,
cosx = b/h
or, cosx = b/6
As we can see base of bigger triangle is equal to hypotenuse of triangle at the left,
Let's suppose its a
so, cosx = a/6 = 2/a
now,
a/6 = 2/a
or, a² = 12
now,
for bigger triangle, using pythagoras theorem,
h² = p²+b²
or, 6² = y² + a²
or, 36 = y² + 12
or, y² = 24
so, y = root under 24
