Answer:
x = 6
Step-by-step explanation:
The line of reflection is x = 6.
Answer:
the distance between the points is about 9.2 units
Step-by-step explanation:
It is well you should not understand it. <em>No question is asked</em>.
__
The answer choices suggest you are to find the distance between the two points. There is only one choice in a reasonable range: 9.2 units.
Each point is more than 2 units from any axis, so 2 units is clearly not the answer. The size of the graph is much less than 81 units, so clearly that is not the answer.
The difference of coordinates in the x-direction is 6; in the y-direction the difference is 7 units. The distance between the points will be more than the longest of these (7) and less than about 1.5 times that (10.5). Only one choice is in this range: 9.2 units.
__
The Pythagorean theorem is used to calculate the distance between points. The distance is considered to be the hypotenuse of a right triangle with legs of lengths equal to the differences of coordinates. Here, that means the distance (d) is ...
d² = 6² + 7² = 36 +49 = 85
d = √85 ≈ 9.2 . . . . grid squares, or "units"
from the question, (-2,2) and (1,2) have the same y value so you can use that as your base and easily find the perpendicular height using the y axis since it's parallel to the x axis.
the third point, (0,-6), to the base is your height
use the sum of the positive of the y values to find your height (because height can't be negative): 6+2 = 8
area of a triangle = 1/2 bh = 1/2 x 3 x 8 = 12
Note: 1/2 bh only works because (-2,2) and (1,2) form a line parallel to the x axis
The Traingle XYZ and ACB are similar triangles. tanX = tanA = 5 over 2 and 5 tenths,
AC = 2 * XY; CB = 2 * YZ
<h3>What is an equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB, hence XYZ and ACB are similar triangles.
Angles Y and C both measure 90 degrees, and angles A and X are congruent. Hence:
tanX = tanA = 5 over 2 and 5 tenths
AC = 2 * XY; CB = 2 * YZ
Find out more on equations at:
brainly.com/question/2972832
#SPJ1
solve for "w" to get the width
what's the area of a rectangle? length * width, or lw
