Answer:
x = -8
Step-by-step explanation:
y = 3x + 14
2x - 3y = -14
So, what is the substitution? Y of course, this is because y is equal to 3x + 14.
2x - 3 (3x + 14) = -14
Multiply 3 with the numbers in the parentheses.
2x - 9x + 42 = -14
So you maybe be wondering why it is a negative 7 instead of subtracting 9 with 2. Using PEMDAS, we always read from left to right. So it is basically 2 -9 and you get -7.
-7x + 42 = -14
Then subtract 42 from both sides.
-7x + 42 - 42 = -14 - 42
Simplify
-7x = -56
Divide 7 by both sides.
-7x / 7 = -56 / 7
x = -8
And you might ask, why we get x instead afterwards. This is because both -7 and 7 cancel each other out leaving us with x.
The equation of circle is:
(x-a)^2+(y-b)^2=r^2 where C(a, b) is the center.
In order to find r you have to find the distance between C(-2, 1) and let's say A(-4, 1)
The formula for distance is:

r = 2
The equation of circle is
(x+2)^2+(y-1)^2=4
I hope that this is the answer that you were looking for and it has helped you.

<h3><u>Analysis </u><u>of </u><u>graph </u><u>:</u><u>-</u></h3>
We have given one graph which is plot between distance and time. where time is in minutes and distance is in seconds.
<u>According </u><u>to </u><u>the </u><u>graph </u>
- For the first 5 minute ( O to A) , The distance is continously increasing 2m / per minute .
- For the 5 minute that is from 5 minute to 13 minute ( A to B) both marellize and her dog wally moving with the constant speed .
- For next 3 minutes that is from 10 minutes to 13 minutes ( B to C) , The distance is continously decreasing with time .
- For next 3 minutes that is from 13 to 16 minutes ( C to D) , Again they moved with constant speed .
- For next 6 minute that is from 16 to 21 minutes ( D to E) . Again, There distance is increasing with time .
- Again For next 4 minutes that is 21 to 25 minutes , they are moving with constant velocity .
<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u></h3>
1) Between O and A
- The marellize and wally when moving between O to A , The distance is constantly increasing with time.
- The graph is Straight line
2) Between A and B
- The marellize and wally when moving between A to B, The distance remains the same with time that is they moving with constant speed.
- The graph is constant or steady
3) Between B to C
- The marellize and wally when moving between B to C, The distance is constantly decreasing with time .
- The graph is straight line but it follows decreasing function .
4) For covering the First 6 km ,
<u>According </u><u>to </u><u>the </u><u>graph</u><u>, </u>
- For covering first 6 km, They took 3 minutes.
5) No, Marellize and wally walk does not from where they have started.
<u>According </u><u>to </u><u>the </u><u>graph </u>
- It is end at 5 m instead of 0m .
Answer:
Rise: 200.25
Descent 300.2
Minutes
Step-by-step explanation:
A) We are using the Pythagorean theorem for the climb and descent. (a^2 + b^2 = c^2)
For climb a = 200, b = 10 c = ?
200^2 + 10^2 = c^2 = 40000 + 100 = c^2 = 40100 = c^2
c = about 200.25
For the descent: a = 300, b = 10
300²+10² = c²
90000 + 100 = c²
90100 = c²
c = about 300.2
B) If a plane is going 600 km/h and it goes about 10 km that means the plane is only going for 10/600 of an hour.
10/600 is 1/60, so only a couple minutes difference.
Distributive
Communative
Associative
☆is the order.