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3 years ago

Write this product in standard form ( 7 + 7i)( 6 + 7i)

Mathematics

2 answers:

vichka [17]3 years ago

8 0

Distribute it

42+49i+42i+49^2 (i^2=-1)

49i^2+91i+42

-49+91i+42

It equal to -7+91i

Mashutka [201]3 years ago

5 0

The correct answer is -7 + 91i

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Given the m<8=45, find the other angle measures. Be able to say how you found each angle measure. PLEASE help!

iris [78.8K]

Answer:

m<1 = 135°, m<2 = 45°, m<3 = 135°, m<4 = 45°, m<5 = 135°, m<6 = 45°, m<7 = 135°

Step-by-step explanation:

We know that a straight line always gives us a measure of 180° total. This would mean 180° = m<8 + m<7. So, if we plug in the real value of m<8, we get 180 = 45 + m<7. From there, we can subtract 180 by 45, and we get 135° = m<7.

We know that vertical angles are congruent - so m<5 is the same as m<7 - making m<5 = 135° as well. This could also apply to m<8 and m<6, so m<6= 45°.

From there, we can also say that alternate interior angles are congruent to each other - meaning m<5 = m<3, and m<6 = m<4. So, m<3 = 135° and m<4 = 45°.

Alternate exterior angles are congruent too, which means m<8 = m<2, and m<7 = m<1. So, m<2 = 45° and m<1 = 135°.

In summary,

m<7 = 135° because angle subtraction.

m<5 = 135° and m<6= 45° because vertical angles are congruent.

m<3 = 135° and m<4 = 45° because alternate interior angles are congruent.

m<1 = 135° and m<2 = 45° because alternate exterior angles are congruent!

Hope this makes sense! Not sure if I explained it well.

3 0

4 years ago

Please simplify this, I will mark you brainliest and give thanks. Thank you

den301095 [7]

Answer:

The answer is either $\frac{1}{x^23(x-5)^2}$ or $\frac{x+5}{x-5}$

You can make x into

Step-by-step explanation:

8 0

2 years ago

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What is the inverse of the function f(x) = 2x + 1?

Luda [366]

Answer:

$f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}$ ⇒ answer 1

Step-by-step explanation:

* Lets explain how to find the inverse of a function

- To find the inverse of a function :

# Write y = f(x)

# Switch the x and y

# Solve to find the new y

# The new y is $f^{-1}$

* Lets solve the problem

∵ f(x) = 2x + 1

- Put y = f(x)

∴ y = 2x + 1

- Switch x and y

∴ x = 2y + 1

- Solve to find the new y

∵ x = 2y + 1

- Subtract 1 from both sides

∴ x - 1 = 2y

- Divide both sides by 2

∴ (x - 1)/2 = y

- Divide each term in the left hand side by 2

∴ y = 1/2 x - 1/2

- Replace y by $f^{-1}$

∴ $f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}$

* The inverse of the function is $f^{-1}(x)=\frac{1}{2}x-\frac{1}{2}$

7 0

4 years ago

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Lexi made 14 sandwiches for a group picnic. The number of ham sandwiches she made was 4 less than the twice the number of turkey

shutvik [7]

x = # of ham sandwiches

14-x = # of turkey sandwiches ( as Lexi made 14 sandwiches)

as the question said that the number of ha sandwiches are 4 less than twice number of turkey sandwiches,

x = 2 * (14-x) - 4 = 24 - 2x

3x=24

x = 8

the number of ham sandwiches is 8, and the number of turkey sandwiches is 14-8=6

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3 years ago

1.5x-6=9 what is the number for x

Svet_ta [14]

Answer:

x=10

Step-by-step explanation:

1.5x-6=9

+6 +6

1.5x=15

/1.5 /1.5

x=10

5 0

4 years ago

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