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3 years ago

find an equation of the line satisfying the given condition in standard form . Vertical: through (-8,2)

Mathematics

1 answer:

Ilya [14]3 years ago

4 0

Answer:

x = - 8

Step-by-step explanation:

vertical line : x = -8

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What is the only solution of 2x2 + 8x = x2 – 16?

Irina18 [472]

Answer:

the only sulition is 900000000000000000000000000000000000ueuy91

Step-by-step explanation:

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3 years ago

Read 2 more answers

The function f(x)= 1 divided by x is an example of an exponential function.<br> true<br> false

tensa zangetsu [6.8K]

This is a false statement.

Exponential functions are when there is a variable in the exponent. With x being in the denominator, this is the same as the function x^-1. Since the exponent is a number and not a variable, it is not a exponential function.

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3 years ago

19. Find the current in a circuit if the power is 500 W (watts) and the resistance is 25 ohms. Round off your answer to two deci

HACTEHA [7]

Answer:

Step-by-step explanation:

The formula that relates current, power and resistance is

$I=\sqrt{\frac{P}{R}}$

Where

I is the current (in amperes)

P is the power (in watts)

R is the resistance (in ohms)

We know P = 500 and R = 25, we plug them into the formula and solve for I:

$I=\sqrt{\frac{P}{R}}\\I=\sqrt{\frac{500}{25}}\\I=\sqrt{20}\\ I=4.47$

Correct answer is 4.47 Amperes, or choice A.

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3 years ago

John mows lawns. He can mow 7 lawns in 5 hours. At this rate, how long would it

sweet [91]

It will take him 30 hours

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3 years ago

Using properties of sets show that : a) A ∩ (A’ U B) = A ∩ B b) A ∩ (A U B )’ = Ф

asambeis [7]

Answer:

a) From A ∩ A' = ∅, we have;

A ∩ (A' ∪ B) = A ∩ B

b) From A ∩ (A' ∩ B') = (A ∩ A') ∩ B' and A ∩ A' = ∅, we have;

A ∩ (A ∪ B)' = ∅

Step-by-step explanation:

a) By distributive law of sets, we have;

A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)

From the complementary law of sets, we have;

A ∩ A' = ∅

Therefore, for A ∩ (A' ∪ B) = A ∩ B, we have

A ∩ (A' ∪ B) = (A ∩ A') ∪ (A ∩ B) (distributive law of sets)

A ∩ A' = ∅ (complementary law of sets)

Therefore;

(A ∩ A') ∪ (A ∩ B) = ∅ ∪ (A ∩ B) = (A ∩ B) (Addition to zero identity property)

∴ A ∩ (A' ∪ B) = A ∩ B

b) By De Morgan's law

(A ∪ B)' = A' ∩ B'

Therefore, A ∩ (A ∪ B)' = A ∩ (A' ∩ B')

By associative law of sets, we have;

A ∩ (A' ∩ B') = (A ∩ A') ∩ B'

A ∩ A' = ∅ (complementary law of sets)

Therefore, (A ∩ A') ∩ B' = ∅ ∩ B' = ∅

Which gives;

A ∩ (A ∪ B)' = ∅.

4 0

3 years ago