The formula for midpoint is
(
, 
)
Look at the image below to see the line segment of Estefani's (A), Jasmin's (M), and Preston's (B) houses. Keep in mind that the segment shown below is not accurate in regards to how the line segment formed by Estefani's, Jasmin's, and Preston's houses. It is simply there so you can picture the segment better.
In this case:
^^^Plug in these number into the formula given above...
(
, 
)
To find what x is (a coordinate of Preston's house) you must take the x-value part of the midpoint equation () and set it equal to the x-value of the midpoint (-5). Then you must solve for x:
= -5
3 + x = -5 * 2
3 + x = -10
x = -10 - 3
x = -13
To find what y is (a coordinate of Preston's house) you must take the y-value part of the midpoint equation() and set it equal to the y-value of the midpoint (3). Then you must solve for y:
= 3
-2 + y = 3 * 2
-2 + y = 6
y = 6 + 2
y = 8
The coordinate of Preston's house is:
(-13, 8)
Hope this helped!
~Just a girl in love with Shawn Mendes
Answer:
The System of linear equations are:
Step-by-step explanation:
Here, a represents the number of 2-points and b represent the number of 3-point basket.
As per the statement:
The basketball team scored 82 points from 2- points and 3-points baskets.
⇒
It is also given that: They make 38 baskets altogether.
⇒
therefore, the system of linear equations are:
Always true .
Negative a is always<0
B<0 so b is negative. Negative times negative is positive > 0 so
-b > -a
Answer:
x = 8, y = 4
Step-by-step explanation:
To find x use the sine ratio in the right triangle and the exact value
sin60° = 
, thus
sin60° = 
= 
= ( cross- multiply )
x × 
= 8 ( divide both sides by )
x = 8
--------------------------------------------------------------
To find y use the tangent ratio in the right triangle and the exact value
tan60° = , thus
tan60° = 
= 
= ( multiply both sides by y )
4 = y × ( divide both sides by )
y = 4
