The point-slope form:

m - slope
(x₁, y₁) - the point
The formula of a slope:

We have the points (5, 4) and (2, -2). Substitute:

- <em>point-slope form</em>
<em>add 4 to both sides</em>
- <em>slope-intercept form</em>
<em>subtract 2x from both sides</em>
<em>change the signs</em>
- <em>standard form</em>
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From the table we have two points (1, 3) and (2, 7). SubstituteL

- <em>point-slope form</em>
<em>add 3 to both sides</em>
- <em>slope-intercept form</em>
<em>subtract 4x from both sides</em>
<em>change the signs</em>
- <em>standard form</em>
The current when the resistance is 10 ohms is 24 amps
<h3>What are variations?</h3>
Variations are simply data that change in values (i.e. not constant)
<h3>Types of variation</h3>
The types of variations are:
- Direct variation
- Inverse variation
- Joint variation
- Combine variation
From the complete question (see attachment), we have the following highlights
- The variation is an inverse variation
- When current (I) is 30 amps, the resistance (R) is 8 ohms
An inverse variation is represented as:

Where k represents the constant of variation.
The above equation can be rewritten as:

So, we have:


When the resistance is 10 ohms, we have:

Divide both sides by 10

Rewrite the above equation as:

Hence, the current when the resistance is 10 ohms is 24 amps
Read more about inverse variation at:
brainly.com/question/1327394
Answer:
C and D
Step-by-step explanation:
To determine which pairs are solutions, substitute the coordinates into the left side of the equation and if equal to the right side then they are solutions.
(7, - 2)
2(7) + 10(- 2) = 14 - 20 = - 6 ≠ 12 → (7, - 2) is not a solution
(- 5, - 4)
2(- 5) + 10(- 4) = - 10 - 40 = - 50 ≠ 12 → (- 5, - 4) is not a solution
(4,
)
2(4) + 10(
) = 8 + 4 = 12 → hence solution
(- 5,
)
2(- 5) + 10(
) = - 10 + 22 = 12 → hence solution
Remark
Writing down the givens for these questions is almost a command. You must know which equation of the big 4 to use. The givens + what you want to find will determine the equation.
Givens
vi = 30.7 km/hr = 30.7 km/hr *[1000m/1km]*[1hr/3600sec] = 8.52m/sec
vf = 120 km/hr = 120 km/hr * [1000 m/1 km]*[1h/3600 sec] = 33.3 m/s
t = 4.9 seconds
d = ???
Formula
d = (vi + vf)*t/2
Solve
d = ( 33.3+8.52 )*4.9/2
d = (41.85333)*4.9/2
d = 205.02/2
d = 102.51 m<<<Answer
9514 1404 393
Answer:
₹ 30000
Step-by-step explanation:
The simple interest formula is ...
I = Prt . . . . . . principal P invested at rate r for t years
Fill in the values you know, and solve for the one you don't know.
9000 = P(0.06)(5)
9000/0.30 = P = 30000
The principal that will give ₹9000 in interest is ₹30000.