MATHEMATICS HIGH SCHOOL

What is the length of the radius of a circle with a center at 2 + 3i and a point on the circle at 7 + 2i?

Answers

Answer 1

Answer: Hello,

A=2+3i
B=7+2i
AB=B-A=7+2i-(2+3i)=5-i

Radius=√(5²+1²)=√26

Answer 2

Answer:

Answer:

b. squareroot 26

Step-by-step explanation:

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Find the product of (4x + 3y)(4x − 3y).16x2 − 24xy + 9y2
16x2 − 9y2
16x2 + 24xy + 9y2
16x2 + 9y2

Answers

Answer:

Option B is correct

$16x^2-9y^2$

Step-by-step explanation:

The distributive property says that:

$a \cdot (b+c) = a\cdot b+ a\cdot c$

To find the product of (4x + 3y)(4x − 3y).

Distribute the first term of the first expression to the second expression and second term of the first expression to the second expression we have;

$4x(4x-3y)+3y(4x-3y)$

Apply the distributive property;

$16x^2-12xy+12xy-9y^2$

Combine like terms we have;

$16x^2-9y^2$

therefore, the product of (4x + 3y)(4x − 3y) is, $16x^2-9y^2$

Answer:

Correct Answer: 16x^2 - 9y^2

Step-by-step explanation:

If
x + 2y = 1
x-2y = 13'
then y =

Answers

On solving the given set of equations, we get the value of y = 3.

What do we mean by simultaneous equations?

A set of equations having two or more variables whose values can satisfy all the equations in the set at the same time, with the number of variables equal to or fewer than the number of equations in the set is called simultaneous equations.

How do we solve the given question?

We are given a set of simultaneous equations in x and y,

x + 2y = 1

x - 2y = 13.

We are asked to find the value of y.

Let the equations

x + 2y = 1... (i)

x 2y = 13 ... (ii).

To solve for y, we subtract (i) from (ii) to get,

$x - 2y = 13\nx+2y=1\n(-)(-)(-)\n------\n-4y = 12$

∴ We get -4y = 12.

Dividing both sides of this equation by -4, we get,

(-4y)/(-4) = 12/(-4)

or, y = -3.

∴ On solving the given set of the equation we get the value of y = 3.

Learn more about simultaneous equations at

brainly.com/question/148035

#SPJ2

Answer:

y= -3

Step-by-step explanation:

adding both the equation we get x= 7

and then put value of x in any one equation u will get y as -3

If water and oil are combined in a container, the resulting liquid is a(n)A. solution.
B. mixture.
C. emulsion.
D. suspension.

Answers

If water and oil are combined in a container, the resulting liquid is a(n) C) emulsion

Hope I helped:P

A colony of bacteria is growing exponentially according to the function below, where t is in hours. What will the approximate number of bacteria be after 6 hours?

Answers

the approximate number of bacteria be after 6 hours will be 400
B(t) = (4)(e^(0.8t))

Answer:

486

Step-by-step explanation:

Just answered it

In January, a bookstore sells 450 books, but in February, it sells only 300 books. What is the percent of change from January to February?66.7%
-33.3%
50%
-50%

Answers

Answer:

- 33.33%

Step-by-step explanation:

Given,

The number of books sold on January = 450,

While, the number of books sold on February = 300

Thus, the percent of change from January to February = $\frac{\text{books sold on February-books sold on January}}{\text{books sold on January}}* 100$