Answer:
The equation for the line in the form of is
Step-by-step explanation:
Given point is . And equation of perpendicular line is
First, we will slope of line . Let us call it .
, that is slope of line .
Let us call slope of line perpendicular to x+y=6 is .
We know,
So, the slope of line perpendicular to is
Also, the line passes through point
So, the equation for the line in the form of is
The equation of a circle is:
where center is (h,k) and radius is r. Therefore, in this question, you need to check if the (h,k) values are the same. Let's view each option and judge accordingly:
A. (0,-4) and (-4,0) : Nope
B (-3,3) and (3,-3) : Nope
C. (7,2) and (-7,-2) : Nope
D. (2,5) and (2,5): Yes, the centers are equal.
Therefore, your answer is option D.
Answer: 6/23 mph
Step-by-step explanation: We change the 1/3 of an hour to 1 hour by multiplying 1/3 and 2/23 by 3. 1/3 times 3 is 1(hour) and 2/23 x 3 is 6/23(miles). So the unit rate the turtle is traveling at is 6/23 mph.
To find CD use the trig ratio that relates that side you're looking for to the angle you have and the other side you're given. We have that the reference angle is 30, and we also have the hypotenuse of that right triangle on the left. Solving for AC, which is the side opposite, we will use the sin ratio:
. 10 sin(30) = AC. Therefore, AC = 5. Now that have that side measure, we can use that along with the reference angle in the right triangle on the right of 25 to find CD, which happens to be the side adjacent to the reference angle. That satisfies our tangent ratio requirements. Our ratio looks like this then:
. Solving for CD,
and CD = 10.7, the third choice above.
as you can see you have to use commutative property given !!!!!!!!!