Answer:
The answer is
<h2>

</h2>
Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(4,2) and (7,6)
The midpoint is

We have the final answer as

Hope this helps you
Answer:
-1/3
Step-by-step explanation:
Taking two points on the graph (I took (0,9) and (6,7)
Slope=(y2-y1)/(x2-x1)
(7-9)/(6-0)=-2/6
=-1/3
Answer:
is the required equation.
Therefore, the second option is true.
Step-by-step explanation:
We know that the slope-intercept form of the line equation of a linear function is given by

where m is the slope and b is the y-intercept
Taking two points (0, -2) and (1, 0) from the table to determine the slope using the formula




substituting the point (0, -2) and the slope m=2 in the slope-intercept form to determine the y-intercept i.e. 'b'.




Now, substituting the values of m=2 and b=-2 in the slope-intercept form to determine the equation of a linear function



Thus,
is the required equation.
Therefore, the second option is true.
Answer:
16 cm
Step-by-step explanation:
Suppose that x is the original width. If that original width is enlarged by a scale factor 5/2 that means that x is multiplied by 5/2 and after that multiplication we obtained new width, 40 cm.
Therefore,
x*(5/2) = 40
We multiply the equation by 2 and obtain:
x*5 = 40*2
5x = 80
Now we divide the equation by 5 and obtain:
x = 80/5
x = 16
We obtained that x, the original width was 16 cm
Answer:
1. QR- PT given
2. <QPR=<STR given
3. <QRP and <SRT (are right angles) def. of perpendicular
4. <QRP = <SRT all right angles are =
5. PQR~ TSR AA similarity theorem
Step-by-step explanation:
edge 2021