Write an equation in slope intercept form that passes through the point (4,-7) and is perpendicular to the equation y=-2x+1.

The equation of a circle C, with centre O, is:

Nataliya [291]

Answer:

a) The center coordinates O is (0,0)

b) The radius C = 15

Step-by-step explanation:

The given equation of the circle is : $x^{2} + y^{2} = 225$

Now, general form of the equation of the circle is:

$(x-h)^{2} + (y - k)^{2} = r^{2}$

where (h,k) are the center co -ordinates and r is the radius of the circle.

Comparing the general equation with the given equation, we get

$(x-0)^{2} + (y - 0)^{2} = (15)^{2}$

So, here the center coordinates (h,k) = (0,0)

And the radius of the given circle is r = 15

8 0

3 years ago

Kinda want to cry right now.. Someone PLEASE help me.. I know there is someone out there smart enough.... 25 points and Brainlie

Svetlanka [38]

Answer:

a) Infinite solutions

b) No solutions

Step-by-step explanation:

First, know the following:

If the graphs intersect, there's only one solution.

If the graphs are parallel, there are no solutions.

If the graphs are the exact same line, there are infinite solutions.

For a):

Change the first equation into a linear one.

2x+3y=6

3y=-2x+6

$y=-\frac{2}{3} x+2$

Change the second equation into a linear one.

4x+6y=12
6y=-4x+12
$y=-\frac{2}{3} x+2$

Boom. You have two equations which are equal. As stated above, graphs on the exact same line have infinite solutions.

For b)

They are already in linear form so hurray.

$y=\frac{1}{5} x+2\\y=\frac{1}{5} x+10\\$

These lines are parallel since they have the SAME slope but a different y-intercept. As stated above, parallel lines have no solutions.

5 0

3 years ago

The animal shelter has both male and female Labrador retrievers in yellow, brown, or black. There is and equal number of each ki

Illusion [34]

Answer:

Step-by-step explanation:

There are choices when it comes to color (3). Then there is the choice between a boy dog or a girl dog (2). Multiply the number of colors by the number of genders. (6)

When choosing a dog from random, you can either choose:

Brown/M

Brown/F

Black/M

Black/F

Yellow/M

Yellow/F

(This list is called the Sample Space, a list of all possible outcomes)

Because the text says that all types of dogs are found in even numbers, it would not matter if there was 6, 12, 18, ... amount of dogs.

When looking at this sample space, you can see that the chance of choosing a Yellow/F dog, is 1 in 6.

5 0

2 years ago

C6H12O2 + O2 --> 6H2O + 6CO2 + 2800 kJ

DIA [1.3K]

Answer:

This is the equation for cellular respiration.

Step-by-step explanation:

C6H1206 is glucose. O2 is oxygen. They react to produce 6H20, which is water, and 6CO2, which is carbon dioxide. Energy is also produced which is represented by 2800 kJ. Energy is created in the form of ATP and heat.

3 0

2 years ago

Can someone go to the next grade with 2.2 gpa

Vlada [557]

Answer: 2.2 I think is a 70 % C. It might depend on the school district though.

Step-by-step explanation:

7 0

3 years ago