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bogdanovich [222]
3 years ago
12

Which property of equality would be used to isolate the variable a in this equation?. a – 4 = 12. A. addition property of equali

ty. B. subtraction property of equality. C. multiplication property of equality. D. division property of equality
Mathematics
2 answers:
BARSIC [14]3 years ago
5 0
The property of equality that would be used to isolate the variable "a" in this equation is addition property of equality. he correct option among all the options that are given in the question is the first option or option "A". Adding 4 in both sides of the equation will easily isolate the variable "a". I hope the answer helps you.
Minchanka [31]3 years ago
4 0
A - 4 = 12...add 4 to both sides
a = 12 + 4...addition property of equality
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The sum of two numbers is 41. The larger number is one less than twice the smaller number. Find the numbers.
Arte-miy333 [17]
I hope this helps you



small a

larger 2a-1


a+2a-1=41


3a=42


a=14

2a-1=2.14-1=27
6 0
4 years ago
Alex wants to fence in an area for a dog park. He has plotted three sides of the fenced area at the points E (1, 5), F (3, 5), a
kobusy [5.1K]

Answer:

(1,1)

Step-by-step explanation:

I just finished the exam and got it correct, as you can see in the picture.

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2 years ago
Find the probability and interpret the results. if​ convenient, use technology to find the probability. during a certain week th
salantis [7]
From the given question:

\mu=\$2.715 \\  \\ \sigma=\$0.049

The probability of a normally distributed data between two values (a, b) is given by:

P(a\ \textless \ \bar{x}\ \textless \ b)=P\left( \frac{b-\mu}{\sigma/\sqrt{n}} \right)-P\left( \frac{a-\mu}{\sigma/\sqrt{n}} \right)

Thus,

P(\$2.691\ \textless \ \bar{x}\ \textless \ \$2.732)=P\left( \frac{\$2.732-\$2.715}{\$0.049/\sqrt{32}} \right)-P\left( \frac{\$2.691-\$2.715}{\$0.049/\sqrt{32}} \right) \\  \\ =P(1.963)-P(-2.771)=0.97515-0.0028=\bold{0.97235}
8 0
4 years ago
The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by: P(c)=-12c^2
g100num [7]

Answer:

5 amperes will produce the maximum power of 300 watts.

Step-by-step explanation:

The general form of a quadratic function presents the function in the form

f(x)=ax^2+bx+c

The vertex of a quadratic function is the highest or lowest point, also known as the maximum or minimum of a quadratic function.

We can define the vertex by doing the following:

  • Identify a, b, and c
  • Find, the x-coordinate of the vertex, by substituting a and b into

x-coordinate =-\frac{b}{2a}

  • Find, the y-coordinate of the vertex, by evaluating

y-coordinate =f(x-coordinate )=f(-\frac{b}{2a} )

We know that the power generated by an electrical circuit is modeled by

P(c)=-12c^{2}+120c

This function is a quadratic function.

To find the current that produce the maximum power you must

  • Identify a and b

a = -12 and b = 120

  • Find, the maximum current of the vertex, by substituting a and b into

maximum-current =-\frac{b}{2a}

maximum-current =-\frac{120}{2(-12)}\\\\maximum-current = 5

  • Find, the maximum-power, by evaluating

maximum-power =P(maximum-current)=P(-\frac{b}{2a} )

P(5)=-12(5)^{2}+120(5)=300

5 amperes will produce the maximum power of 300 watts.

We can check our work with the graph of the function P(c)=-12c^{2}+120c and see that the maximum is (5, 300).

5 0
4 years ago
What is the value of the expression below when x = -5 and y = -10 <br> |3x - y| +4
Oksanka [162]

Answer:

-1 is your answer for this mate

7 0
3 years ago
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