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Vlada [557]
3 years ago
12

PLEASE PLESE HELP I WILL MARK BRAINLIEST!!!

Mathematics
1 answer:
kiruha [24]3 years ago
3 0
AB+BC+AC-12=AC+CD+AD
AB+BC-12=CD+AD
AB+BD+CD-12=CD+AD=BD
AB+BD-12=0
AB=12cm
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Which situations can be modeled by a linear function?
AlexFokin [52]

Answer:

the answer is a

Step-by-step explanation:

3 0
3 years ago
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Find the multiplicative inverse of 6 + 2i
Marina CMI [18]
If you're using the app, try seeing this answer through your browser:  brainly.com/question/2774989

________________


Find the multiplicative inverse of

\mathsf{z=6+2i}

________


The inverse multiplicative of  \mathsf{z=a+bi}  is

\mathsf{\dfrac{1}{z}}\\\\\\
=\mathsf{\dfrac{1}{a+bi}\qquad\quad(a\ne 0~~and~~b\ne 0)}\\\\\\
=\mathsf{\dfrac{1}{a+bi}\cdot \dfrac{a-bi}{a-bi}}\\\\\\
=\mathsf{\dfrac{1\cdot (a-bi)}{(a+bi)\cdot (a-bi)}}\\\\\\
=\mathsf{\dfrac{a-bi}{a^2-\,\diagup\hspace{-10}abi+\,\diagup\hspace{-10}abi-(bi)^2}}

=\mathsf{\dfrac{a-bi}{a^2-b^2\cdot i^2}}\\\\\\
=\mathsf{\dfrac{a-bi}{a^2-b^2\cdot (-1)}}\\\\\\
=\mathsf{\dfrac{a-bi}{a^2+b^2}}\\\\\\\\
\therefore~~\mathsf{\dfrac{1}{a+bi}=\dfrac{a}{a^2+b^2}-\dfrac{b}{a^2+b^2}\,i\qquad\quad\checkmark}

________


For this question,

\mathsf{z=6+2i}


So,

\mathsf{\dfrac{1}{z}}\\\\\\
=\mathsf{\dfrac{1}{6+2i}}\\\\\\
=\mathsf{\dfrac{6}{6^2+2^2}-\dfrac{2}{6^2+2^2}\,i}\\\\\\
=\mathsf{\dfrac{6}{36+4}-\dfrac{2}{36+4}\,i}\\\\\\
=\mathsf{\dfrac{6}{40}-\dfrac{2}{40}\,i}


\therefore~~\mathsf{\dfrac{1}{z}=\dfrac{3}{20}-\dfrac{1}{20}\,i}\quad\longleftarrow\quad\textsf{this is the answer.}


I hope this helps. =)

6 0
3 years ago
Read 2 more answers
A bag contains 9 marbles: 4 are green, 2 are red, and 3 are blue Yoko chooses a marble at random, and without putting it back, c
Virty [35]

Answer:

1/12

Step-by-step explanation:

Probability of first marble being red is 2/9.

Then since he is not replacing the marble, there is only 8 marbles left in the bag. So the probability of choosing blue is 3/8. Then you multiply 2/9 × 3/8 = 6/72.

In simplest form: 1/12

5 0
3 years ago
An electronics company is changing its internet advertising from a banner advertisement to a pop-up advertisement. The cost of t
Dafna1 [17]

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Cost function of banner advertisement:

C(n) = 0.30n + 5.00

n = average number of hits per hour

5 = flat rate

From the function, C(n), the cost per hit is the slope value of the function ; which is 0.30

1.) If the cost of pop-up advert will double the cost per hit, the cost function for pop-up advert will be :

D(n) = 2(0.30n) + 5

D(n) = 0.60n + 5.00

B.) This change in cost per hit has resulted in change in slope which is defined as :

[Rise / run = vertical change / horizontal change].

Hence, both vertical and horizontal change has occurred.

6 0
3 years ago
Fill in the space to make the equation true 3y5*__y—=12y2
serg [7]

Answer:

The second blank, which is the exponent on the y there, is -3.

3y^5 \cdot 4y^{-3}

Step-by-step explanation:

3(?)=12 implies ?=4 since 3(4)=12.

y^5 \cdot y^{?}=y^{5+?}=y^{2} implies 5+?=2.

5+?=2 can be solved by subtracting 5 on both sides. This gives you:

?=2-5

?=-3

Let's put it altogether:

3y^5 \cdot 4y^{-3}

12y^{5+(-3)}

12y^{2}

So the first blank is 4.

The second blank, which is the exponent on the y there, is -3.

3 0
3 years ago
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