Much as you would like it to be D, it isn't. D has its center at (3,4). You must change the sign on both numbers inside the brackets.
You need something that looks like (x + 3)^2 + (y + 4)^2. So it could be A or B. How do you know which? The graph should give you an answer, then we'll talk about it. The red circle is A the blue circle is B. Which one is correct?
The answer to that is that the center is 5 units away from the origin. The radius of this circle is the sqrt(25) = 5 units away from the center. The blue one has a radius of sqrt(5) which is something over 2. It is not enough. So what's the answer?
Answer:
y=5x-11
Step-by-step explanation:
parallel lines have the same slope 5
y-4=5(x-3)
y-4=5x-15
y=5x-15+4
y=5x-11
Answer:
4.25 km (See Below)
Step-by-step explanation:
<em>The question is:</em>
<em>How many kilometers did Nathan walk and jog?</em>
<u>Solution:</u>
He walked 1/4th of 5 kilometer race
He jogged 3/5th of 5 kilometers race
Rest, he ran.
We need total km he ran and jog. That is (1/4) + (3/5)th:
So, we find 17/20th of 5, which is:
So, Nathan walked and jogged 4.25 km of the race.
Answer:
x = 10
Step-by-step explanation:
Form the information given, we can deduce that:
m<OPQ is an exterior angle of ∆NOP = (6x - 15)°
m<PNO = (2x + 18)° and m<NOP = (2x - 13)° are both interior angles that are opposite to the exterior angle.
Therefore, based on the exterior angle theorem:
m<OPQ = m<PNO + m<NOP
(6x - 15)° = (2x + 18)° + (2x - 13)°
Solve for x
6x - 15 = 2x + 18 + 2x - 13
6x - 15 = 4x + 5
6x - 15 - 4x = 4x + 5 - 4x (Subtraction property of equality)
2x - 15 = 5
2x - 15 + 15 = 5 + 15 (addition property of equality)
2x = 20
2x/2 = 20/2 (division property of equality)
x = 10
Answer:
C
Step-by-step explanation:
different size wedges would be the most visibly different
