All categories

2 years ago

What is the equation of a circle centered at (-3,1) with radius 7?

1 answer:

8 0

The standard form of a circle is $(x-h)^2+(y-k)^2=r^2$ , where h and k are the coordinates of the center and r is the radius. We will fill in accordingly with what we have. $(x-(-3))^2+(y-1)^2=7^2$ . Simplifying a bit we have $(x+3)^2+(y-1)^2=49$ . That's the equation for your circle.

You might be interested in

Mis Meyer's paid $3600 all together for the equipment, furniture and decorations for her restaurant. The equipment cost $500 mor

Tju [1.3M]

Answer:

The equipment will cost $1740.

Step-by-step explanation:

Let the Cost of equipment, furniture and decoration be x, y and z.

Now, According to question,

x + y + z = 3600 ...... (1) (cost of all items)

x = 500 + y (∵ equipment cost 500 more than furniture)

and y = 2z ( ∵ furniture twice as much as decoration)

so, z = y/2

Now substituting the value of x and z in eq (1)

$x + y + z = 3600$

$500 + y + y + \frac{y}{2} = 3600$

$2y + \frac{y}{2} = 3600 - 500$

$\frac{5y}{2} = 3100$

$y = \frac{3100\times 2}{5} = 1240$

So, the cost of furniture (y) = 1240

∴ Cost of equipment = y + 500 = 1240 + 500 = 1740

Therefore the cost of equipment was $1740.

3 0

2 years ago

Given: 3x + y = 1 Solve for y. A. y=-3x + 1 B. y=-3x - 1 C. y= 3x - 1

g100num [7]

The answer is c. y=3x -1

7 0

3 years ago

Angela bought a bookmark in the shape of an arrow as shown below. The base and height of the triangle are both 3 inches.

Lina20 [59]

The area of a 2D form is the amount of space within its perimeter. The area of the arrow is 11.25 in².

The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm2, m2, and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.

For the given problem, the image is given below.

The area of the arrow is,

Area = Area of rectangle + Area of triangle

= (1.5 in × 4.5 in) + (0.5×3×3)

= 6.75 in² + 4.5 in²

= 11.25 in²

Hence, the area of the arrow is 11.25 in².

Learn more about the Area:

brainly.com/question/1631786

#SPJ1

7 0

1 year ago

Help me out hereeeeeeeeee

vova2212 [387]

Answer:

0.28

Step-by-step explanation:

8 0

2 years ago

Find the equation of the line using the point-slope formula. Write the final equation using slope-intercept form. (1,2) with a s

Lilit [14]

Answer:

$y-2=\displaystyle -\frac{3}{4}(x-1)$

$y=\displaystyle -\frac{3}{4}x+\frac{11}{4}$

Step-by-step explanation:

Hi there!

Point-slope form: $y-y_1=m(x-x_1)$ where m is the slope of the line and $(x_1,y_1)$ is a given point

Given that the slope is -3/4, we can plug it into $y-y_1=m(x-x_1)$ as m:

$y-y_1=\displaystyle -\frac{3}{4}(x-x_1)$

We can also plug in the given point (1,2):

$y-2=\displaystyle -\frac{3}{4}(x-1)$

Slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

To write the equation in slope-intercept form, isolate y:

$y-2=\displaystyle -\frac{3}{4}(x-1)\\\\y=\displaystyle -\frac{3}{4}(x-1)+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{3}{4}+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{11}{4}$

I hope this helps!

8 0

2 years ago