-7(4d+9c) use c=-6 and d=4

Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.) Center at the origin

Elanso [62]

Answer:

The equation of circle is $x^2+y^2=65$ .

Step-by-step explanation:

It is given that the circle passes through the point (8,1) and center at the origin.

The distance between any point and the circle and center is called radius. it means radius of the given circle is the distance between (0,0) and (8,1).

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula the radius of circle is

$r=\sqrt{\left(8-0\right)^2+\left(1-0\right)^2}=\sqrt{65}$

The standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$ .... (1)

where, (h,k) is center and r is radius.

The center of the circle is (0,0). So h=0 and k=0.

Substitute h=0, k=0 and $r=\sqrt{65}$ in equation (1).

$(x-0)^2+(y-0)^2=(\sqrt{65})^2$

$x^2+y^2=65$

Therefore the equation of circle is $x^2+y^2=65$ .

5 0

3 years ago

10. Write an inequality relating the measure of angle 1 to the measure of angle 2

patriot [66]

The two triangles are isosceles.

Both triangles have the equals sides equal to 6

Both ∠ 1 and the ∠2 are the opposite angles to the different side of their respective triangles.

The opposite side to ∠ 1 is shorter than the opposite side to ∠ 2, which implies that ∠1 is less than ∠2.

Then the inequality that relates those angles is

∠1 < ∠2

3 0

3 years ago

Gabriel went to the grocery store and bought bottles of soda and bottles of juice. Each bottle of soda has 35 grams of sugar and

kupik [55]

Answer:

9 bottles of soda and 7 bottles of juice

Step-by-step explanation:

Let x be the number of bottles of soda purchased and y be the number of bottles of juice purchased.

1. Gabriel purchased 2 more bottles of soda than bottles of juice, then

$x=y+2$