Answer:
below
Step-by-step explanation:
The point N is at (-7, -8)
The point N’ is at (4, -4)
On the x-axis, -7 to 4 is a shift of 11 units to the right.
On the y-axis, -8 to -4 is a shift of 4 units upward.
To find the scale factor, we need to find the change in radius size.
As previously identified, the center of Circle N is (-7, -8). If we draw a vertical line from the center to the edge of the circle, the line will be 2 units long.
As previously identified, the center of Circle N’ is (-4, -4). If we draw a vertical line from the center to the edge of the circle, the line will be 6 units long.
6 is 3 times the amount of 2, meaning the scale factor is 3.
Hope this helps!
Answer:
Coordinates of point P is 
.
Step-by-step explanation:
Given that mid point of line segment 
is at <em>M(-9, 8.5).</em>
Q is at <em>(-4, 14)</em>.
Let coordinate of P be 
.
Using the ratio, we can say the following:
<em>The coordinates of mid point</em> 
of a line with endpoints 
and 
is given as:
Using the formula for above given dimensions:
So, the <em>coordinates of point P are</em> .
Answer:
the scale factor is 4 to 1, or just 4.
Step-by-step explanation:
Answer:
40 minutes
Step-by-step explanation:
Given 1 mile = 8 minutes
5 miles = (5 × 8) minutes
5 miles = 40 minutes
It would take 40 minutes to run 5 miles
A quadratic equation is set up in the form of ax² + bx +c
First set equation = to 0
0= x² - 5x - 24
Next plug into quadratic formula( -b Plus or minus the √b²-4ac) ÷ 2a
[10 plus or minus √(25² - 4×1×24)] ÷ 2
Solve for inner parenthesis first
√625- 96 = √529
Now set up two equations
(10 + √529) ÷2 = x = 16.5
(10 - √529) ÷2 = x = -6.5
So therefore x = 16.5 and -6.5
