To reflect in the line y = -x + 6, we translate everything down 6 first.
This will make it seem like we are reflecting in the line y = -x
(x,y) → (x, y-6)
Then, to reflect in the line y = -x, we switch the x- and y-coordinates and then make them negative
(x,y) → (-(y-6), -x)
Then we move everything back up again
(x,y) → (-(y-6), -x + 6)
I will present to you an example. Reflect the point (-4, 8) in the line y = -x + 6.
(-4,8) → (-(8-6), -(-4) + 6) → (-2, 10)
You should graph this out to confirm with the reflection line.
Answer:
Step-by-step explanation:
<u>Area of triangle:</u>
We have the value of b but not h.
Added auxiliary segments which help to find the value of h.
<em>See attached for details</em>
- sin 40° = h/4
- h = 4 sin 40°
- h = 2.57 km
<u>The area is:</u>
- A = 1/2*6*2.57 = 7.71 km²
Answer:
SEE BELOW
Step-by-step explanation:
Since, △ABC is a right angled triangle. We can apply Pythagoras' Theorem to find the length of AB.
According to Pythagoras’ theorem, “In a right angled triangle: The square of the hypotenuse is equal to the sum of the squares of the other two sides.”
Applying Pythagoras’ theorem in △ABC, we get
AB2=AC2+BC2
⇒AB2=52+122
⇒AB2=25+144
⇒AB2=169
⇒AB=169−−−√
⇒AB=13 cm
Answer:
5 blocks in each group
Step-by-step explanation:
You are dividing 10 into 2 groups, so 10/2 is your equation and 5 is your answer