Answer:
x374874593893
Step-by-step explanation:
eaddthemalltogethertogethtatjbifmwhumebry38578494029 aso add the m
The y-intercept is (0,-1)
Answer:
D.) because it cannot be expressed as a ratio of integers
Step-by-step explanation:
The root of any integer that is not a perfect square is irrational. 5 is not a perfect square, so is irrational—it cannot be expressed as the ratio of integers.
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<em>Proof</em>
Suppose √5 = p/q, where p and q are mutually prime. Then p² = 5q².
If p is even, then q² must be even. We know that √2 is irrational, so the only way for q² to be even is for q to be even—contradicting our requirement on p and q.
If p is odd, then both p² and q² will be odd. We can say p = 2n+1, and q = 2m+1, so we have ...
p² = 5q²
(2n+1)² = 5(2m+1)²
4n² +4n +1 = 20m² +20m +5
4n² +4n = 4(4m² +4m +1)
n(n+1) = (2m+1)²
The expression on the left will be even for any integer n; the expression on the right will be odd for any integer m. This equation cannot be satisfied for any integers m and n, so contradicting our assumption √5 = p/q.
We have shown using "proof by contradiction" that √5 cannot be the ratio of integers.
y = mx + b "m" is the slope, "b" is the y-intercept (the y value when x = 0)
1. slope: -3
y-intercept: 7
y = -3x + 7
Your answer is B
y + 3x = 7 Subtract 3x on both sides
y = -3x + 7
2. y + 9(x + 3) = 0 Multiply/distribute 9 into (x + 3)
y + 9x + 27 = 0 Subtract 9x and 27 on both sides to get "y" by itself
y = -9x - 27
slope: -9
y-intercept: -27 or (0,-27)
Your answer is D
3. Point-slope form: y - y₁ = m(x - x₁)
slope: -11
(x₁ , y₁) = (-5, 7)
y - 7 = -11(x - (-5)) The two negative signs becomes a positive
y - 7 = -11(x + 5)
Your answer is C
4. For this question, I think you get it from point-slope form to slope-intercept form (I'm not sure, but you still get the same answer if you just do slope-intercept form)
slope: -4
(x₁ , y₁) = (2, -8)
y - y₁ = m(x - x₁)
y - (-8) = -4(x - 2)
y + 8 = -4(x - 2) Multiply/distribute -4 into (x - 2)
y + 8 = -4x + 8 Subtract 8 on both sides to get "y" by itself
y = -4x
Your answer is A
Answer:
7
Step-by-step explanation:
if you meant hundredths it would be 9, but 7 is in the hundreds place
