Slope intercept form is y = mx + b...ur slope will be in the m position and ur y int will be in the b position
examples : slope = 2 , (1,3)....x = 1 and y = 3
y = mx + b
slope(m) = 2
(1,3)...x = 1 and y = 3
now we sub and find b, the y int
3 = 2(1) + b
3 = 2 + b
3 - 2 = b
1 = b
so in slope intercept form, ur equation is : y = 2x + 1
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another example : slope = 3 , (-2,-4)
y = mx + b
slope(m) = 3
(-2,-4)...x = -2 and y = -4
now sub and find b, the y int
-4 = 3(-2) + b
-4 = - 6 + b
-4 + 6 = b
2 = b
so ur equation is : y = 3x + 2
Answer: A = 4 P = π PS = -π/2
<u>Step-by-step explanation:</u>
y = A sin(Bx - C) + D where
- A is the amplitude
- Period = 2π/B
- Phase Shift = C/B
- D is the vertical shift
Given: y = -4 sin(2x + π) - 3
- A (amplitude) = 4 <em>the negative sign is a reflection, not amplitude</em>
- B = 2
- C = -π
- D = -3
Amplitude = 4
<span>x – 12 ≥ 18
Let's break down the sentence and create an inequality from it. We'll use X to represent the number.
"Twelve fewer than a number is at least 18."
The "Twelve fewer than a number" indicates subtraction, so let's do that.
X - 12
"is at least 18." would be a greater than or equal relationship. So we have
X - 12 ≥ 18
And we're done. The desired equation is:
x – 12 ≥ 18</span>
Answer:
x = 10 cm
Step-by-step explanation:
(3x + 2) + (3x + 2) + (4x - 5) + (4x - 5) = 134 cm
combine like terms:
14x - 6 = 134
add 6 to each side of the equation:
14x = 140
divide both sides by 14:
x = 10
