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3 years ago

Write an equation for the hanger diagram and then us the sketch to show how to solve the equation algebraically.

Mathematics

1 answer:

Art [367]3 years ago

8 0

Answer:

2y + 3 = 6

Step-by-step explanation:

2y + 3 = 6 Subtract 3 from both sides

2y = 3 Divide 2 from both sides

y = 3/2

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Solve the equation: k^2+5k+13=0

mr_godi [17]

Step-by-step explanation:

k² + 5k + 13 = 0

Using the quadratic formula which is

$x = \frac{ - b \pm \sqrt{ {b}^{2} - 4ac } }{2a} \\$

From the question

a = 1 , b = 5 , c = 13

So we have

$k = \frac{ - 5 \pm \sqrt{ {5}^{2} - 4(1)(13) } }{2(1)} \\ = \frac{ - 5 \pm \sqrt{25 - 52} }{2} \\ = \frac{ - 5 \pm \sqrt{ - 27} }{2} \: \: \: \: \: \: \\ = \frac{ - 5 \pm3 \sqrt{3} \: i}{2} \: \: \: \: \: \:$

Separate the solutions

$k_1 = \frac{ - 5 + 3 \sqrt{3} \: i }{2} \: \: \: \: or \\ k_2 = \frac{ - 5 - 3 \sqrt{3} \: i}{2}$

The equation has complex roots

Separate the real and imaginary parts

We have the final answer as

$k_1 = - \frac{5}{2} + \frac{3 \sqrt{3} }{2} \: i \: \: \: \: or \\ k_2 = - \frac{5}{2} - \frac{3 \sqrt{3} }{2} \: i$

Hope this helps you

8 0

3 years ago

A new washing machine uses 45% less water than an older

enot [183]

Answer:The family will use 792 gallons of water in the new washing machine

Step-by-step explanation:

1440 X 0.55=792

100-45=55

5 0

3 years ago

Points frreeeeeeeeeeeee :)

Gala2k [10]

Answer:

thx m8

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

What is the exact decimal equivalent of 7 half’s 12

Ivenika [448]

The decimal equivalent of 7 half’s is the number in decimal form

The exact decimal equivalent of 7 half’s is 3.5

<h3>What is a decimal number?</h3>

A decimal number is a number represented by an integer and a fractional part

<h3>How to determine the decimal equivalant?</h3>

The number is given as:

7 halves

Express as product

7 * 1/2

Evaluate the product

3.5

Hence, the exact decimal equivalent of 7 half’s is 3.5