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nataly862011 [7]
3 years ago
15

Which expression is equivalent to (-7-4i)(6+7i)?

Mathematics
2 answers:
jolli1 [7]3 years ago
8 0

Answer:

-28i^2-73i-42

Step-by-step explanation:

(−7)(6)+(−7)(7i)+(−4x)(6)+(−4i)(7i)

= −42−49i−24i−28i^2

= <u><em>-28i^2-73i-42</em></u>

goldfiish [28.3K]3 years ago
6 0

Answer:

Step-by-step explanation:

-14 - 73 i

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Drag the tiles to the correct boxes to complete the pairs. Match the systems of equations with their solutions.
Oksanka [162]

Answer:

See explanation for matching pairs

Step-by-step explanation:

Equations

(1)

x - y = 25

2x + 3y = 180  

(2)

2x - 3y = -5

11x + y = 550  

(3)

x - y = 19

-12x + y = 168

Solutions

(-17,-36)

(47, 33)

(51, 26)

Required

Match equations with solutions

(1) x - y = 25 and 2x + 3y = 180

Make x the subject in: x - y = 25

x = 25 + y

Substitute x = 25 + y in 2x + 3y = 180

2(25 + y) + 3y = 180

50 + 2y + 3y = 180

50 + 5y = 180

Collect like terms

5y = 180-50

5y = 130

Solve for y

y =26

Recall that: x = 25 + y

x = 25 + 26

x = 51

So:

(x,y) = (51,26)

(2)  2x - 3y = -5 and 11x + y = 550

Make y the subject in 11x + y = 550

y = 550 - 11x

Substitute y = 550 - 11x in 2x - 3y = -5

2x - 3(550 - 11x) = -5

2x - 1650 + 33x = -5

Collect like terms

2x  + 33x = -5+1650

35x = 1645

Solve for x

x = 47

Solve for y in y = 550 - 11x

y = 550 - 11 * 47

y = 550 - 517

y = 33

So:

(x,y) = (47,33)

(3)

x - y = 19  and -12x + y = 168

Make y the subject in -12x + y = 168

y = 168 + 12x

Substitute y = 168 + 12x in x - y = 19

x - 168 - 12x = 19

Collect like terms

x -12x = 168 + 19

-11x = 187

Solve for x

x = -17

Solve for y in y = 168 + 12x

y =168-12 *17

y =-36

So:

(x,y) = (-17,-36)

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3 years ago
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Arisa [49]
You want it to be greater than and equal to 2.  A closed circle means to include 2 so you want a closed circle and to the right is to bigger numbers so you want to the right.  So the answer is b. Number line with closed circle on 2 and shading to the right.
4 0
3 years ago
3/4 5/6 16/25 9/15 smallest to largest
nydimaria [60]

Answer:

All you need to do is find a common denomianatorand then solve from least to greatest hope this helps!

Step-by-step explanation:

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3 years ago
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5 numbers between 22.32 and 22.33
Vika [28.1K]
22.321
22.322
<span>22.323
</span>22.324
<span>22.325</span>

8 0
3 years ago
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The graph of an exponential function has a y-intercept of 4 and contains the point (3,500). Construct the exponential function t
valentina_108 [34]

Answer:

The "formula" for an exponential function is f(x) = a * bˣ where a is the initial value / y-intercept. Therefore, a = 4 so f(x) = 4 * bˣ. To solve for b, we can plug in the values x = 3 and f(x) = 500 which becomes:

500 = 4 * b³

125 = b³

b = 5 so the answer is f(x) = 4 · 5ˣ.

3 0
3 years ago
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