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3 years ago

If two figures are similar but not congruent, which of the following transformations must have occurred?

Mathematics

1 answer:

ANEK [815]3 years ago

7 0

Answer:

Step-by-step explanation:

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Simplify the expression 5+6i/4+6i A) 56-6i/-20 B) -16-6i/-20 C)56-6i/52 D) -16-6i/52

IRISSAK [1]

Answer:

$The\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.$

Option (C) is correct .

Step-by-step explanation:

As the expression given in the question as follows.

$= \frac{5 + 6i}{4 + 6i}$

Now rationalize the expression.

$= \frac{5 + 6i\times 4 - 6i}{4 + 6i\times 4 - 6i}$

Using the formula

a² - b² = (a - b) (a + b)

Using in the above

$= \frac{5 + 6i\times 4 - 6i}{(4)^{2} - (6i)^{2}}$

$= \frac{5\times 4-5\times 6i+6i\times 4-36\ i^{2}}{16 - 36(i)^{2}}$

As i² = -1

$= \frac{20-30i+24i+36}{16 + 36}$

$= \frac{56-6i}{52}$

$Therefore\ the\ simplified\ form\ of\ the\ \frac{5 + 6i}{4 + 6i}\ is\ \frac{56-6i}{52}.$

Option (C) is correct .

8 0

3 years ago

Read 2 more answers

Can you factories them

Fittoniya [83]

For each part A through D below, the idea is to find the common factor between the terms, which you'll then use the distributive property to pull out.

==================================

Part A

3x + 18 = 3(x+6)

Note how we pulled out a 3. If we distribute it back in, we end up with 3x+18 again. The other problems are done in a similar fashion

==================================

Part B

2x - 14 = 2(x - 7)

==================================

Part C

6x + 4 = 2(3x + 2)

==================================

Part D

9x - 15 = 3(3x - 5)

4 0

3 years ago

two cars start from two towns 400 miles apart and travel towards each other. They pass each other after 4 hours. find the speed

Gemiola [76]

use an expression
s = speed of the slower car
then
(s+20) = speed of the faster car

When they meet is after 400 miles

Write distance equation

slow car d + fast car d = 400 mi
4s + 4(s+20) = 400

8s + 80 = 400

8s = 400 - 80

8s = 320

s = 40 m/H

5 0

3 years ago

Read 2 more answers

As a large truck fills its gas tank, the volume of gas, in gallons, can be modeled with the linear function v = 4.8m + 8.2, wher

jek_recluse [69]

Step-by-step explanation:

Step one:

given data

we are told that the expression is

v = 4.8m + 8.2

where v is the volume of gas and

m is the number of minutes it has been filling.

Step two:

Required

Asumming the volume is in Liters

the interpretation of the terms in the expression for the volume

4.8 means that for every minute 4.8L of gas enters the gas tank

hence the rate of filling is 4.8L/min

8.2 means that there is 8.2L of gas already in the tank before the filling started.

3 0

3 years ago

How do I solve this

MatroZZZ [7]

Answer:

Step-by-step explanation:

First do -1 - 5, which is -6.

then square -6.

so 6 x 6 equals 36.

4 0

3 years ago