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3 years ago

Write an equivalent expression for each of the following. Express your answers in the form a + bi or a - bi

Mathematics

1 answer:

Lana71 [14]3 years ago

6 0

Answer:

44 +14i

Step-by-step explanation:

(5 + i)(9 + i)

FOIL

first 5*9 = 45

inner: 9i

outer :5i

last: i*i = i^2 = -1

Add togheter

45 + 9i+5i -1

Combine like terms

44 +14i

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What is equivalent to -6 to the -5 power?

Anarel [89]

Answer:

$-\frac{1}{7776}$

Step-by-step explanation:

Put negative exponents in the denominator to make them positive.

$\frac{1}{-6^5}$

$\frac{1}{-6*-6*-6*-6*-6}$

$\frac{1}{-7776}$

$-\frac{1}{7776}$

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3 years ago

Find the slope of the line that passes through (50, -70) and (77, 62). Simplify your answer and write it as a proper fraction, i

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Answer:

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Step-by-step explanation: ¯\_(ツ)_/¯

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3 years ago

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Clara wants to cover the top of her jewelry box. The top of the box is a rectangle with a length of 9.4 cm and a width of 8.3 cm

Pavlova-9 [17]

Answer: 78.02 cm²

Step-by-step explanation:

1. To solve this problem you need to apply the formula for calculate the area of a rectangle, which is shown below:

$A=l*w$

Where $A$ is the area of the rectangle, $l$ is its lenght and $w$ is its width.

2. You know that the rectangle has a length of 9.4 cm and a width of 8.3 cm, therefore, you must substitute these values into the formula. Then, you obtain the following result:

$A=(9.4cm)(8.3cm)\\A=78.02cm^{2}$

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3 years ago

the bakers at Healthy bakery can make 170 bagels in 5 hours. how many bagels can they bake in 13 hours? what was the rate per ho

Degger [83]

Answer:

442

Step-by-step explanation:

170/5 (to find per hour)

34*13 = 442

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3 years ago

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6x^2+9x+3 factor trinomial

qwelly [4]

Answer:

(x+1) ( x+(1/2))

Step-by-step explanation:

6x² +9x +3 , divide all terms by 6 to have the first term with coefficient 1

x² + (9/6)x + (3/6) , simplify the fractions

x² + (3/2)x + (1/2)

To get x² the first term we should have

(x.....)(x.....)

To get the last term (1/2) we should have

(x...1)(x...(1/2))

To get the middle term (3/2)x we should have

+1*x +(1/2) x = (2/2)x +(1/2)x = (3/2)x

(x+1) ( x+(1/2))

6 0

2 years ago