Remove the radical by raising each side
6^2= square root 8x-4 ^2
36= 8x-4
40= 8x
X=5
Answer:
The value of y when x is 0 is 3
The value of x when y is 0 is 2
Step-by-step explanation:
3x + 2y = 6
3(0) +2y=6—> replace x with 0
2y=6—> divide both sides by 2
y=6
And do the same for y!
Answer:
12
Step-by-step explanation:
4-2x=-18
-4 -4
-2x=-24
-2 -2
x=12
Answer:
2a: (c)
5o: (1, 3) and (1,1)
3a: (b)
1a: (d)
4o: (b)
Step-by-step explanation:
2a: the equation of a circle circumference needs to be transformable to the form
where
is the center and <em>r</em> is the radius. (a) and (d) can’t be it because they contain non-zero factors on <em>xy</em>. (b) isn’t an equation.
5o: just put the given (<em>x</em>, <em>y</em>) into the equations and see if it holds. (2, 3) isn’t on the circumference of (1) because
, (3, 1) isn’t on it either because
.
3a: calculate the value of the left-hand side term of the equation using (<em>x</em>, <em>y</em>) from the given point <em>M</em>. That’s the difference of square distance to the center to the square radius
. Thus it’s 0 if the point is on the circumference, negative if inside and positive if outside. You get
, positive, so it’s outside the circle.
1a: see definition from 2a. Here,
.
4o: insert the y from the straight line equation (r) (which can be equivalently transformed to
) into the circumference equation. If it yields no solution, that’s outside, it there’s exactly one solution, that’s a tangent and if there are two solutions, it’s a secant.
There are two solutions, so it’s a secant.
Answer:
4,500 items are made every 4 hours.
5,625 items are made every 5 hours.
Step-by-step explanation:
when you multiply 1125 by for it will equal 4500 and when you multiply 1125 by 5 it will equal 5625