Answer:
(2,0)
Step-by-step explanation:
For given line AB:
y-intercept = b = -2
slope = m = y₂-y₁/x₂-x₁
= -3/2-(-4) = -3/6 = -1/2
Equation of line AB:
y = (-1/2)x - 2
Finding equation of line that is parallel to line AB and passes through the point C(2,2):
Substituting the slope from line AB into the equation of the line
y = (-1/2)x + b.
Substituting the given point (-2,2) into the x and y values 2 = (-1/2)-2 + b.
Solving for b (the y-intercept)
, we get b = 1
Substitute this value for 'b' in the slope intercept form equation y = (-1/2)x + 1.
For x-intercept of the line, we let y = 0
0 = (-1/2)x + 1
x = -1(-2/1)
x = +2
So, the point on the x-axis that lies on the line that passes
through point C and is parallel to line AB is (2,0).
Answer:
D. $56
Step-by-step explanation:
Sandra's taxable income is $39,250.
That amount works for range 2 ($39,250 - $39,300), so her tax is $5,944.
Sandra paid $6,000 in FWT (federal withholding tax), which is greater than $5,944, so we need the refund here.
Subtract 5,944 from 6,000 to get the refund.
6,000 - 5,944
We can go on ahead and just make this 100 - 44 (5,900 - 5,900 = 0).
100 - 44
Her refund is $56.
Answer:
Step-by-step explanation:
The standard form of a circle's equation is
where h and k are the circle's center and r is the radius. We are told, and we can see, that the center of the circle is (0, 0) so h = 0 and k = 0. The radius, given as 4, goes into the equation squared, so the equation is
which simplifies down to
, choice C.
The correct answers are A C and B
I’m a little confused by the question and the problem, is there a picture of the problem you could add?
