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Alborosie
2 years ago
7

The charge for electricity consumption E is partly constant and partly varies as the number N of units used. The charge for 82 u

nits is N 3,655 while the charge for 42 units is N 2055:
a) calculate the charge per unit of electricity
b) obtain a formula for E in terms of N​
Mathematics
1 answer:
balandron [24]2 years ago
3 0

The charge per unit of electricity is #415

The formula for E in terms of N is E = 375 + 40N

<h3>What is variation?</h3>

Variation is a mathematical term that establishes the relationship between quantities and variables in an equation.

Analysis:

E = K + CN

where K and C are constants

When E = 3655, N = 82 and when E = 2055, N = 42

3655 = K + 82C ---------------1

2055 = K + 42C----------------2

subtract equation 2 from 1

40C = 1600

C = 40

substitute C in equation 1

3655 = K + 82(40)

3655 = K + 3280

K = 3655 - 3280 = 375

charge per unit is N = 1

E = 375 + 40(1) = #415

Formula for E in terms of N is E = 375 + 40N

In conclusion, the charge per unit of electricity is 415 and the equation connecting E and N is E = 375 + 40N

Learn more about Variation: brainly.com/question/6499629

SPJ1

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4 0
3 years ago
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ACTIVITY #1
qaws [65]

What completes the proof are:

1. LC ≅ CU; CU ≅ UK

2. Given

3. Unequal angle theorem (Aa → Ss)

<h3>What is the Unequal Angle Theorem?</h3>

The unequal angle theorem states that the longer side of a triangle will always be directly opposite the largest angle measure. This implies that, if an angle that is opposite a side is greater than another another, the side it is opposite will also be longer than the side opposite the other angle (Aa → Ss).

From the image given, statement 1 was given as well as statement 2.

Statement 1 would be: LC ≅ CU; CU ≅ UK.

The reason for statement 2 will also be "given".

Then, UL > CK using the unequal angle theorem (Aa → Ss).

Learn more about the unequal angle theorem on:

brainly.com/question/2403556

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