3.2 over 0.4 is equivalent to 8
Answer:
Step-by-step explanation:
The standard form equation of a circle with radius r is expressed as
( x − h )^2 + ( y − k )^2 =r ^2 ,
where r represents the radius
h and k are the coordinates of the center of the circle C( h , k )
To determine the coordinates at the center of the circle, the midpoint formula would be used. It is expressed as
[(x1 + x2)/2 , (y1 + y2)/2]
Midpoint of the circle =
(6 - 4)/2 , (2 + 7)/2 = (1, 4.5)
h coordinate of the center = 1
k coordinate of the center = 4.5
r^2 = (x - h)^2 + (2 - k)^2
r^2 = (6 - 1)^2 + (2 - 4.5)^2
r^2 = 5^2 + (- 2.5)^2 = 25 + 6.25
r^2 = 31.25
Substituting r^2 = 31.25, h = 1 and k = 4.5 into (x − h )^2 + ( y − k )^2 = r^2, the standard equation of the circle becomes
(x − 1 )^2 + ( y − 4.5 )^2 = 31.25
Hi there!
These can probably be done on your own. You just gotta know what to do! :)
Let's take #1 for example. You (or maybe a classmate/teacher showed you?) plotted the points. Mark each point with the given letter, so you don't get lost. Then, you reflected it over the y-axis.
Think of it as a mirror. Say you held a picture of a rhombus up to it. You would see the rhombus, yourself, and whatever was in the background reflected back at you. You step closer, the image steps closer. You turn the rhombus, and the image also turns. This principle can be used here!
So, keep doing what you're doing. Here's a step-by-step:
1.) Plot each point, and mark its name. For example, 'B' is (-6,7), and you write 'B' next to the point.
2.) Double check the point are exactly where they need to be
3.) Connect each point with a straight line. You can use a ruler, student ID, whatever as a straightedge, but it looks neater
4.) Draw a line for the axis. For example, if y=0, draw a straight line again there. (hint: that's the y-axis!)
5.) Double check that everything is right so far again. This is easy to mess up!
6.) Reflect each point over the axis. Another example, (-3, 2) becomes (3, 2). Mark this with an apostrophe (') to signal the point as prime, or the reflected point. For example, B becomes B' (B prime)
7.) Check one final time
If you found this especially helpful, I'd appreciate if you'd vote me Brainliest for your answer. I want to be able to assist more users one-on-one! :)
Answer:
<XWZ is a right angle
Step-by-step explanation:
Since <YWZ and <XWY both equal 45 degrees, So, <XWZ is a right angle.
Answer:
The three consecutive integers are 42,44 and 46
Step-by-step explanation:
n-2 n and n+2. n=44
or
(X) + (X + 1) + (X + 2) = 132
X + X + 1 + X + 2 = 132
3X + 3 = 132
3X + 3 - 3 = 132 - 3
3X = 129
3X/3 = 129/3
X = 43
43 + 44 + 45 = 132
