Answer:
irrational
irrational
rational
irrational
rational
Step-by-step explanation:
The answer would be (6,8)
Answer:
There are an infinite number of solutions to this equation. One of which would be (-2, -1)
Step-by-step explanation:
In order to find any solution, start by picking a value for x. For the purpose of this exercise, we'll select -2. Now input that in for x and solve for y. The resulting ordered pair is a solution.
4x - 7y = -1
4(-2) - 7y = -1
-8 - 7y = -1
-7y = 7
y = -1
Answer: y = (x +2)² + 5
<u>Step-by-step explanation:</u>
y = a(x - h)² + k <em>where "a" is the leading coefficient and (h, k) is the vertex</em>
Since we don't know "a", we need to plug in the point (x, y) and the vertex (h, k) to solve for "a": (x, y) = (0, 9) and (h, k) = (-2, 5)
y = a(x - h)² + k
9 = a(0 - (-2))² + 5
9 = a(0 + 2)² + 5
9 = a(2)² + 5
<u>-5 </u> <u> -5 </u>
4 = a(4)
<u>÷4 </u> <u> ÷4 </u>
1 = a
Next, plug in "a" and the vertex (h, k):
y = a(x - h)² + k
y = 1(x +2)² + 5
y = (x +2)² + 5
(0,2)(4,6)
slope = (6 - 2) / (4 - 0) = 4/4 = 1
y = mx + b
slope(m) = 1
use either of ur points (0,2)...x = 0 and y = 2
sub and find b, the y int
2 = 1(0) + b
2 = b
ur equation is : y = x + 2 <==
