Answer:
1. F
2. G
3. H
4. E
5. C
6. B
7. A
8. D
Step-by-step explanation:
1. For a horizontal line, this is zero. F. Slope
2. These lines have the same slope. G Parallel Lines
3. These lines meet at 90°. H Perpendicular Lines
4. This is where two lines meet. E. Point of Intersection
5. For the line 3 2 6 x y , this is −3. C. Y-intercept
6. The numbers 10 and 1 /10 are examples. B Reciprocals
7. This is the name for an equation of a line in the form Ax By C 0. A. Standard Form
8. For a vertical line, the value of x is constant and equal to this D. x-intercept
Infinity mah.
Explanation
Energy in Watt-hours (Wh) to electric charge in milliamp-hours (mAh).
Answer:
Step-by-step explanation:
13.
<h3>Given</h3>
<u>Quadratic equation</u>
- 4x² - 3x - 4 = 0
- With the roots of α and β
<h3>To Find </h3>
- The quadratic equation with roots of 1/(3α) and 1/(3β)
<h3>Solution</h3>
<u>The sum and the product of the roots of the given equation:</u>
- α + β = -b/a ⇒ α + β = -(-3)/4 = 3/4
- αβ = c/a ⇒ αβ = -4/4 = - 1
<u>New equation is:</u>
- (x - 1/(3α))(x - 1/(3β)) = 0
- x² - (1/(3α) + 1/(3αβ))x + 1/(3α3β) = 0
- x² - ((3α + 3 β)/(3α3β))x + 1/(3α3β) = 0
- x² - ((α + β)/(3αβ))x + 1/(9αβ) = 0
- x² - (3/4)/(3(-1))x + 1/(9(-1)) = 0
- x² + 1/4x - 1/9 = 0
- 36x² + 9x - 4 = 0
===================
14.
<h3>Given</h3>
<u>Quadratic equation</u>
- 3x² +2x + 7 = 0
- With the roots of α and β
<h3>To Find </h3>
- The quadratic equation with roots of α + 1/β and β + 1/α
<h3>Solution</h3>
<u>The sum and the product of the roots of the given equation:</u>
- α + β = -b/a ⇒ α + β = -2/3
- αβ = c/a ⇒ αβ = 7/3
<u>New equation is:</u>
- (x - (α + 1/β))(x - (β + 1/α)) = 0
- x² - (α + 1/β + β + 1/α)x + (α + 1/β) (β + 1/α) = 0
- x² - (α + β + (α + β)/αβ )x + αβ + 1/αβ + 2 = 0
- x² - (-2/3 - (2/3)/(7/3))x + 7/3 + 1/(7/3) + 2 = 0
- x² - (-2/3 - 2/7)x + 7/3 + 3/7 + 2 = 0
- x² + (14 + 6)/21x + (49 + 9 + 42/21) = 0
- x² + 20/21x + 100/21 = 0
- 21x² + 20x + 100 = 0
Answer:
91.8 ft
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp/ adj
tan 42 = x/102
102 tan 42 =x
91.84121252 =x
Answer:
k = 4
Step-by-step explanation:
if direct variation exists,
input * k = output
here, number of baskets = input and cost = output
3 * k = 12
5 * k = 20
6 * k = 24
8 * k = 32
15 * k = 60
does this always work for one k?
let's try it out
3 * k = 12
divide both sides by 3 to solve for k
k = 4
5 * k = 20
divide both sides by 5 to solve for k
k = 4
6 * k = 24
divide both sides by 6 to solve for k
k = 4
8 * k = 32
divide both sides by 8 to solve for k
k = 4
15 * k = 60
divide both sides by 15 to solve for k
k = 4
as k = 4 no matter what, there is a direct variation with k = 4
