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2 years ago

What is the simplified form of (4p - 2) (p - 4)?

Mathematics

1 answer:

gladu [14]2 years ago

3 0

Answer:

4p² -18p + 8

Step-by-step explanation:

= (4p - 2) (p-4)

= p (4p - 2) -4 (4p - 2)

= 4p²- 2p - 16p + 8

= 4p² -18p + 8

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What is the additive inverse of non complex 9

svet-max [94.6K]

the additive inverse of non complex 9 is -9 .

<u>Step-by-step explanation:</u>

Complex number is said to be the sum of whole numbers and imaginary numbers.The additive inverse of the any number is the changing the sign of the number. That is instead –ve sign is positive and vice versa.

Additive Inverse of Complex Numbers:

Let take the complex numbers $Z = X + iy$ and its inverse be $Z^{-1} = a + ib$

Step 1: Now add the Z and Z-1, we get

$Z + Z^{-1} = (X + iy) + (a + ib) = 0$

Step 2: Combine Like term, we get

$(X + a) + i (y + b) = 0$

Step 3: By using zero product property, we can equating as

$X + a = 0$ and $i (y + b) = 0$

$X = -a$ and $y = -b$

Thus, the additive inverse of the complex numbers $X + iy = -X - iy$ .

Now, additive inverse of $9+0i$ = $-9-0i=-9$ .

Therefore , the additive inverse of non complex 9 is -9 .

4 0

3 years ago

Which proportion could be used to find the length of side b?

yan [13]

Answer:

A) $\frac{\sin{23}}{6.2}=\frac{\sin{85}}{b}$

Step-by-step explanation:

In order to use the Law of Sines, we must have a known angle and the known side opposite it.

The only side measure we have is that of AB, which is 6.2. The angle opposite this is ∠C, which we do not have the measurement of.

We do have the measurement of ∠A and ∠B; we can use these to find the measure of ∠C. We know that the sum of the measures of the angles in a triangle is 180°; this means

m∠C = 180-(72+85) = 180-157 = 23°

This makes the first ratio in the Law of Sines

$\frac{\sin{23}}{6.2}$

We are trying to find the measure of b. This means we use the angle opposite b, ∠B; m∠B = 85°. This gives us the ratio

$\frac{\sin{85}}{b}$

Together, this gives us the proportion

$\frac{\sin{23}}{6.2}=\frac{\sin{85}}{b}$

3 0

3 years ago

Read 2 more answers

PLS HELP NO LINKS PLS I NEED THIS IN AN HOUR

ahrayia [7]

Answer:

V= 3 1/2 x 3 x 1 1/2

Step-by-step explanation:

8 0

2 years ago

Patrick can paint a house by himself in t+4 hours. Karen can paint the same house by herself in t+9 hours. If they work together

vladimir2022 [97]

Patrick will be able to paint the home on his own after a ten-hour effort.

This is further explained below.

<h3>How much time will it take for Patrick to paint the house by himself?</h3>

Generally, the equation for time is mathematically given as

1/(t+4) + 1/(t+9) = 1/t

Therefore

[1/(t+4)] (t+4)(t+9)(t) + [1/(t+9)](t+4)(t+9)(t) = (1/t)(t+4)(t+9)(t)

(t² + 9t) + (t² + 4t) = t² + 13t + 36

Place the equation on the left side of the page and make it equal to 0. Use the additive inverse property as follows:

t² + t² - t² + 9t + 4t - 13t - 36 = 0

2t² - t² + 13t - 13t - 36 = 0

t² - 36 = 0

Calculate the product of the difference of two squares using the formula t2 - 36 = 0.

Both the total and the difference between the two terms constitute the factors.

(t + 6) (t - 6) = 0

t + 6 = 0

t = -6

t - 6 = 0

t = 6

Choose the positive value for time, t = 6 hours.

It will take 10 hours for Patrick to paint the house alone.

Patrick will be able to paint the home on his own after a ten-hour effort.