Answer:
y = -3/2x +10
Step-by-step explanation:
y = mx+b where m is the slope and b is the y intercept
y = 2/3x +b
The slope is 2/3
We want a line perpendicular
Slopes of perpendicular lines multiply to -1
m * 2/3 = -1
Multiply by 3/2
m * 2/3 * 3/2 = -1 * 3/2
m = -3/2
The slope of the perpendicular line is -3/2
We have the slope and a point (4,4)
y = -3/2 x +b
4 = -3/2(4) +b
4 = -6+b
Add 6 to each side
4+6 = -6+6+b
10 =b
y = -3/2x +10
2y+10x-6, just distribute the 2!
T=V/I
multiply both sides by I to get rid of fraction
tI=V
Answer:
The height of the right circular cylinder is 4.55 inches ⇒ b
Step-by-step explanation:
The formula of the surface area of a right circular cylinder is
S.A = 2πrh + 2πr², where
∵ The surface area of a right circular cylinder is 300 square inches
∴ S.A = 300 in.²
∵ Its radius is 5 inches
∴ r = 5 in.
∵ π = 3.14
→ Substitute them in the rule above
∵ 300 = 2(3.14)(5)(h) + 2(3.14)(5)²
∴ 300 = 31.4h + 157
→ Subtract 157 from both sides
∵ 300 - 157 = 31.4h + 157 - 157
∴ 143 = 31.4h
→ Divide both sides by 31.4
∵ 4.554140127 = h
∴ 4.55 = h
∴ The height of the right circular cylinder is 4.55 inches
Answer:
p(x) = (x - 5)(x + 1)(x + 4)
General Formulas and Concepts:
<u>Algebra I</u>
- Terms/Coefficients
- Factoring
<u>Algebra II</u>
- Factoring Cubes:
- Long Division
- Synthetic Division
Step-by-step explanation:
*Note:
<em>Please excuse my bad handwriting :)</em>
<u>Step 1: Define</u>
<em>Identify</em>
p(x) = x³ - 21x - 20
Linear factor (x - 5)
<u>Step 2: Factor</u>
<em>Option 1: Factoring cubes formula</em>
- Factor [Factoring Cubes]: p(x) = (x - 5)(x² + 5x + 4)
- Factor: p(x) = (x - 5)(x + 4)(x + 1)
<em>Option 2: Long Division</em>
See Attachment
<em>Option 3: Synthetic Division</em>
See Attachment #2
