Answer:
(a) 
(b) 
Step-by-step explanation:
Given
Solving (a): Reflect across x and y-axis.
Reflection across x-axis has the following rules
So, we have:
Reflection across y-axis has the following rules
So, we have:
Hence, the new point is: (-4,-3)
Solving (b): Rx . Do,2 (2,4)
reflect across the x-axis
Reflection across x-axis has the following rules
So, we have:
---- when P is reflected across the x-axis
dilate by a scale factor of 2
The rule is:
So, we have
Open bracket
Answer:
101
Step-by-step explanation:
According to the Law of Cosines, for any △ABC with side lengths a, b, and c, a2=b2+c2−2bccosA; b2=a2+c2−2accosB; and c2=a2+b2−2abcosC
.
The Law of Cosines can be used because all three side lentghs are known.
Set up the equation for the Law of Cosines:
a2=b2+c2−2bccosA
Substitute the known values into the Law of Cosines:
312=222+182−2(22)(18)cosA
Square the values and multiply:
961=484+324−792cosA
Add:
961=808−792cosA
Subtract 808
from both sides:
153=−792cosA
Divide both sides by −792
:
153−792=cosA
According to this equation m∠A
is equal to the inverse cosine function of −153792
. Write this:
m∠A=cos−1(−153792)
Calculate the value of the inverse cosine −153792
on a calculator:
m∠A≈101°
Therefore, m∠A≈101°
.
8x5=40
So the car is 40 inches long
The sequence is not arithmetic
