Answer:
Step-by-step explanation:
y = 6x − 4
y = 5x − 3
A: chose a value for x(input) and get the out put (y) because the equation already in the slope intercept mode:y=mx+b
x y=6x-4 y=5x-3
1 y=2 y=2
2 y=8 y=7
0 -4 -3
slope :
y=6x-4 slope is 6 y intercept(0,-4)
y=5x-3 slope is 5 y intercept (0,-3)
solution of the pair of equation is the point of intersection :
6x-4=5x-3
6x-5x=-3+4
x=1 and y=6x-4 ⇒ y=6-4=2
<h2>(1,2)</h2>
Answer:
a ≠ 2
Step-by-step explanation:
Given

The denominator of the rational function cannot be zero as this would make it undefined. Equating the denominator to zero and solving gives the value that a cannot be, that is
- 3a + 6 = 0 ( subtract 6 from both sides )
- 3a = - 6 ( divide both sides by - 3 )
a = 2 ← excluded value
Answer:
d
Step-by-step explanation:
when cut you can see that the cutout will be a square
the base is a square and the cut is parallel to the base
therefore the cutout will be a square
Answer:
y = 9/5x +12/5
Step-by-step explanation:
First find the slope using the two points
(2,6) and (-3,-3)
m = ( y2-y1)/(x2-x1)
= (-3-6)/(-3-2)
= -9/-5
= 9/5
Using the slope intercept form of the line
y = mx+b where m is the slope and b is the y intercept
y = 9/5x +b
Using one of the points and substituting for x and y
6 = 9/5(2) +b
Getting a common denominator
30/5 = 18/5+b
30/5 -18/5 = b
12/5 = b
y = 9/5x +12/5
Yay
so
this is going to be
(x-h)^2=4p(y-k)
(h,k) is the vertex
p is the distance from the vertex to the focus and the vertex to directix
half of the distance between directix and focus is p
if the directix is above the focus, p is negative
if the directix is below the focus, p is positive
so
we see
y=15/8 is the directix
focus is above directix (p is positive)
it is 2/8 or 1/4 above it
so
half of 1/4 is 1/8
p=1/8
the vertex is 1/8 below vertex so it is it at (-4,16/8) or (-4,2)
the equation is
(x-(-4))^2=4(1/8)(y-2) or
(x+4)^2=4(1/8)(y-2) is the equation