Answer:
An equation of the circle with centre (-2,1) and radius 3 is 
Option D is correct.
Step-by-step explanation:
Looking at the figure we get centre of circle C (-2,1) and radius of circle r = 3
The equation of circle is of form: 
where (h,k) is centre and r is radius.
We have centre C (-2,1) so, we have h = -2 and k = 1
We have radius = 3 so, r = 3
Putting values in the equation and finding the required equation:
So, an equation of the circle with centre (-2,1) and radius 3 is
Option D is correct.
Given: Volume of brains in cubic centimeters.
Because it is talking about volume it is something you can ordered, difference can be found and are meaningful. There is also a natural starting zero point because something can have 0 volume. Like an empty cup. It has no water in it for volume.
Answer:
D. The ratio level of measurement is most appropriate because the data can be ordered, differences can be found and are meaningful, and there is a natural starting zero point
X = -4y+3
-x-4y = -3
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x+4y = 3
-x-4y = -3
0 = 0
Possible and determined system (single solution)
Answer:
45
Step-by-step explanation:
c^2*b
We know that c is 3, and b is 5, so we can substitute them in
3^2*5
Solve the exponent first
9*5
Multiply
45
Question 14, Part (i)
Focus on quadrilateral ABCD. The interior angles add to 360 (this is true for any quadrilateral), so,
A+B+C+D = 360
A+90+C+90 = 360
A+C+180 = 360
A+C = 360-180
A+C = 180
Since angles A and C add to 180, this shows they are supplementary. This is the same as saying angles 2 and 3 are supplementary.
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Question 14, Part (ii)
Let
x = measure of angle 1
y = measure of angle 2
z = measure of angle 3
Back in part (i) above, we showed that y + z = 180
Note that angles 1 and 2 are adjacent to form a straight line, so we can say
x+y = 180
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We have the two equations x+y = 180 and y+z = 180 to form this system of equations
Which is really the same as this system
The 0s help align the y terms up. Subtracting straight down leads to the equation x-z = 0 and we can solve to get x = z. Therefore showing that angle 1 and angle 3 are congruent. We could also use the substitution rule to end up with x = z as well.
