Given the triangle
PQR
with points
P(8,0)
Q(6,2)
R(-2,-4)
And the triangle
P'Q'R'
with points
P'(4,0)
Q'(3,1)
R'(-1,-2)
Part A. Scale factor
Using the vertex
P( 8, 0)
P'(4,0)
the dilatation factor is given by

The triangle has a dilatation factor of 1/2
Part B:
P''Q''R'' after using P'Q'R' reflected about the y axis
to make a reflection over the y axis
coordinates (x,y) turn into coordinates (-x,y)
as follows



Then triangle P''Q''R'' has coordinates
P''(-4,0)
Q''(-3,1)
R''(1,-2)
Part C:
PQR is congruent to P''Q''R''?
Congruent triangles are triangles that have the same size and shape. This means that the corresponding sides are equal and the corresponding angles are equal.
Then the triangles are not congruent
Tangent is a line that touches the circle at one point going infintiely in both directions
chord is a line that goes from one side of the circle to the other and stays inside the circle, an example would be the diameter which is the longest chord in the circle
secant is a line that goes through the circle at 2 points, it's like a chord but it extends outside the circle
arc length is a section of the circumference
it's like the length of the crust when you cut a slice of pie or the crust of a pizza
Answer:
y
=
3
2
x
Rewrite in slope-intercept form.
Tap for more steps...
y
=
3
2
x
Use the slope-intercept form to find the slope and y-intercept.
Tap for more steps...
Slope:
3
2
y-intercept:
(
0
,
0
)
Any line can be graphed using two points. Select two
x
values, and plug them into the equation to find the corresponding
y
values.
Tap for more steps...
x
y
0
0
2
3
Graph the line using the slope and the y-intercept, or the points.
Slope:
3
2
y-intercept:
(
0
,
0
)
x
y
0
0
2
3
image of graph
Step-by-step explanation:
The answer is 1
explanation:
when dividing exponents you have to subtract them, -5 - (-6) is 1.
2 divided by 2 is 1 so, therefore the answer is 1.
10 / (2/5)...when dividing with fractions, flip what u r dividing by, then multiply
10 * 5/2 = 50/2 = 25...so there are 25 of them