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3 years ago

11. One number is five less than seven times

Mathematics

1 answer:

Neporo4naja [7]3 years ago

6 0

Answer:

-26, and -3

Step-by-step explanation:

Let's say one number is A, and the other is B

A + B = -29

A = 7B - 5

8B - 5 = -29

8B = -24

B = -3

-3 * 7 - 5 = A

A= - 26

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Given that x = -2 - 3i and y = 4 + 2i , Match The Expressions.

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Answer:

$3y-2x=16+12i$

$-3x \cdot y=6+48i$

$x \cdot 2y=-4-32i$

$x-y=-6-5i$

Step-by-step explanation:

Given:

$x=-2-3i$

$y=4+2i$

---

1st problem:

$3y-2x$

$3(4+2i)-2(-2-3i)$

Distribute:

$12+6i+4+6i$

Combine like terms:

$16+12i$

---

2nd problem:

$-3x \cdot y$

$-3(-2-3i) cdot (4+2i)$

$-3(-2-3i)(4+2i)$

Distribute -3 to first factor:

$(6+9i)(4+2i)$

Use foil to simplify:

$24+12i+36i+18i^2$

Replace $i^2$ with -1:

$24+48i-18$

Combine like terms:

$6+48i$

---

3rd problem:

$x \cdot 2y$

$(-2-3i) \cdot 2(4+2i)$

Distribute 2 to the second factor:

$(-2-3i) \cdot (8+4i)$

$(-2-3i)(8+4i)$

Use foil to simplify:

$-16-8i-24i-12i^2$

Replace $i^2$ with -1:

$-16-32i+12$

Combine like terms:

$-4-32i$

----

4th problem:

$(-2-3i)-(4+2i)$

Distribute:

$-2-3i-4-2i$

Combine like terms:

$-2-4-3i-2i$

Simplify:

$-6-5i$

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Answer:

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