All categories

3 years ago

12. A circle has a center at C(2,5) and a point on the circle has coordinates A(8, 13). Could the point B lie on

Mathematics

1 answer:

marishachu [46]3 years ago

7 0

Answer:

No.

Step-by-step explanation:

A circle is defined as a figure in which all points are equidistant from the center, or C. In order to determine how far points A and B are from the center, we must first find the difference in positioning from (2,5) to each point and then use Pythagorean Theorem to calculate the length of the hypotenuse. Point A establishes that the radius of the circle must be 10 units, and Point Bis only about 8 units away.

You might be interested in

Which of the following expressions is this one equivalent to?

schepotkina [342]

Answer: C. x-2

Step-by-step explanation:

We have the following expression:

$\frac{x^{4} -2x^{3} +x-2}{x^{3}+1}$

Factoring in the numerator:

$\frac{x(x^{3}+1)-2(x^{3}+1)}{x^{3}+1}$

Factoring again in the numerator with common factor $x^{3}+1$ :

$\frac{(x^{3}+1)(x-2)}{x^{3}+1}$

Simplifying:

$x-2$

Hence, the correct option is C. x-2

3 0

3 years ago

What is the area of a rectangle with length 5 inch and width 2.7 inch

Paha777 [63]

The area of the rectangle would be 13.5 inches.

7 0

3 years ago

Given an equilateral triangle that has an area of 1959 cm2. What is the length of its sides?

Nina [5.8K]

Equilateral
equi means equal
lateral means sides

all sides are equal
triangle has 3 sides

perimiter=side1+side2+side3
side1=side2=side3

area=1/2 times base times height
base=side
draw a line down the middle of te tiangle so you get 2 right triangles side by side
1/2base is one leg
base is hypotonuse
height is unknown
equilateral means that it is a 30-60-90 triangle with hypotonuse equal to 2x, height=x√3, bottom is x
1/2 times base times height=1959
1/2 times x times x√3=1959
multiply both sides by 2
(x^2)√3=3918
divide both sides by √3
x^2=3918/√3
square root both sides
x=47.5611
side=hypotonuse=2x
2x=2*47.5611
side=95.12222

legnth of each side is $2\sqrt{ \frac{3918}{ \sqrt{3} } }$ cm or about 95.12222 cm

7 0

3 years ago

What is the square root of 6 divided by root 456 multiplied by 23

irakobra [83]

Answer:

0.30263157894493828288

5 0

4 years ago

Marie heated water in a beaker. When she began, the water had a temperature of 40 degrees, and she heated it at a rate of 2.5 de

kykrilka [37]

Answer:

2.5x + 40 = 1.5x + 50

Step-by-step explanation:

To find how many minutes passed before the water temperature in both beakers are the same, you need to set both of the expressions that show how hot the water in each beaker is to be equal to each other

4 0

2 years ago