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2 years ago

What values of a and b make this equation true?

Mathematics

1 answer:

Fynjy0 [20]2 years ago

5 0

Answer:

a = -4

b=-29

Step-by-step explanation:

<h3>Complex number:</h3>

First write the radicals in simplest form.

i² = -1

$\sf (4 + \sqrt{-49}) -2\left(\sqrt{(-4)^2}+\sqrt{-324}\right)=4 + \sqrt{49i^2} - 2\left(\\\sqrt{16}+\sqrt{324i^2}\right)$

$\sf =4 + \sqrt{7*7*i*i}-2\left(\sqrt{4*4}+\sqrt{18*18*i*i}\right)\\\\= 4 + 7i - 2(4 + 18i)\\\\= 4 + 7i - 2*4 - 2*18i\\\\= 4 + 7i -8-36i\\\\= 4 - 8 +7i - 36i\\\\= -4 - 29i$

$\sf \boxed{a = -4 }\\\\\boxed{b=-29}$

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Help Use the distributive property to demonstrate that the product of 10 and -(1)/(5) is a negative number. Make sure to include

marissa [1.9K]

Answer:

-2

Step-by-step explanation:

We have to multiply 10 and $\frac{-(1)}{(5)}$

Here we have to distribute the negative sign.

Distributive property = -(a) = -a

Using the above property, we get $\frac{-(1)}{(5)}$ = $\frac{-1}{5}$

Now we have to multiply 10 and $\frac{-1}{5}$

= 10 × $\frac{-1}{5}$

= $\frac{10 times -1}{5}$

= $\frac{-10}{5}$

Now we have to divide -10 by 5.

= -2

3 0

3 years ago

The original rectangle has a perimeter of 16

zaharov [31]

As we can see that the sides of the rectangle have been doubled

6.2 ft changed to 12.4 ft

Now when the sides have been doubled

the Perimeter will also be doubled

So the perimeter of new rectangle should be the double the perimeter of old rectangle

So perimeter of new rectangle = 2 (16 ) = 32 feet

Option C is correct

7 0

3 years ago

Dr. Goodrich wanted to demonstrate that his tires were better than those of his competitor, Dr. Goodyear. From car registration

dem82 [27]

Answer:

Dependent Variable : Tire tread wear ; Independent Variable : Tire Brand ; Confounding Variable : Person driving

Step-by-step explanation:

Dependent Variable is the variable being affected by independent variable(s). Independent Variable(s) are the causal variable, bring change in dependent variable.

Goodrich wants to demonstrate that his tires were better than those of his competitor (Goodyear). For that, he has got conducted an independent research on tires worn quality - brand wise & various factors affecting wear

Dependent Variable is the 'Tire tread wear '.
Independent Variables determining it is primarily brand : Goodrich / Goodyear ; secondarily - price, mileage, time etc

Confounding variable is an extraneous influence variable; that changes the relationship between independent & dependent variable, outcome of experimental research.

In this case : Individuals driving the vehicles could be a confounding variable. A particular person could wear out tire more than another person.

6 0

3 years ago

Pls answer and thanks!!

Keith_Richards [23]

Answer:

Problem:

Solve 3x−y=6;y=x−4

Steps:

I will try to solve your system of equations.

y=x−4;3x−y=6

Step: Solvey=x−4for y:

Step: Substitutex−4foryin3x−y=6:

3x−y=6

3x−(x−4)=6

2x+4=6(Simplify both sides of the equation)

2x+4+−4=6+−4(Add -4 to both sides)

2x=2

(Divide both sides by 2)

x=1

Step: Substitute1forxiny=x−4:

y=x−4

y=1−4

y=−3(Simplify both sides of the equation)

Answer:

y=−3 and x=1

Step-by-step explanation:

Hope this helped you

3 0

3 years ago

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Rope is 5 meters long. It is cut into 8 equal parts. How long are each piece?

Murljashka [212]

Answer:

0.625m PLEASE GIVE BRAINLIEST

Step-by-step explanation:

5 ÷ 8 = 0.625

So.... each piece is 0.625m long.

4 0

3 years ago

Read 2 more answers