Answer:
equation;

Center (-4,2)
Radius is

Step-by-step explanation:
Since the x^2 and y^2 have the same coeffiecent this will be a circle in a form of

Where (h,k) is center
r is the radius
So first we group like Terms together

Add 7 to both sides


Since the orginal form of the equation of the circle has a perfect square we need to complete the square for each problem

and

so we have



To find our center, h is -4 and k is 2
so the center is (-4,2)
The radius is

So the radius is 3 times sqr root of 3.
Answer:
12 miles
Step-by-step explanation:
Your car uses 1/12th of its entire gas to go a single mile. This means that you need to drive 12 miles to run out of gas.
Angle A is 2x + 3
Angle B is 4x + 2
Angle C is 2x - 1
The three angles add up to 180
So:
2x + 3 + 4x + 2 + 2x - 1 = 180
Combine terms
8x + 4 = 180
Subtract 4
8x = 176
x = 22
Now we solve for the angles:
Angle A is 2(22) + 3 = 44 + 3 = 47
Angle B is 4(22) + 2 = 88 + 2 = 90
Angle C is 2(22) - 1 = 44 - 1 = 43
Quick check: 47 + 90 + 43 = 180
The difference from distance and displacement is <u>the direction</u>
<h3>Further explanation</h3>
Distance is a scalar quantity that indicates the length of the trajectory that is traveled by an object within a certain interval. Distance has no direction, only has magnitude
Can be simplified distance = total meters traveled
displacement is a vector quantity that shows changes in the position of objects in a certain interval of time. Displacement has magnitude and direction
Can be simplified displacement = distanced traveled from starting point to ending point
Some examples of distanced and displacement
1. first move: move 4 meters north
second move: move 2 meters south
Distanced: 6 meters
Displacement: 2 meters north
2. first move: move 2 meters east
second move: move 4 meters west
Distanced: 6 meters
Displacement: 2 meters west
etc
<h3>Learn more</h3>
uniformly accelerated motion
brainly.com/question/13750982
Keywords: distance and displacement lab activity
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