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Lesechka [4]
3 years ago
11

Which linear equations have one solution? Check all that apply.

Mathematics
1 answer:
Nina [5.8K]3 years ago
7 0
Its the third and the fourth one
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R (-3,1) and S (-1,3) are points on a circle. If RS is a diameter, find the equation of the circle.​
ELEN [110]

Answer:

\sf (x+2)^2+(y-2)^2=2

Step-by-step explanation:

If RS is the diameter of the circle, then the midpoint of RS will be the center of the circle.

\sf midpoint=\left(\dfrac{x_s-x_r}{2}+x_r,\dfrac{y_s-y_r}{2}+y_r \right)

             \sf =\left(\dfrac{-1-(-3)}{2}+(-3),\dfrac{3-1}{2}+1 \right)

             \sf =(-2, 2)

Equation of a circle:   \sf (x-h)^2+(y-k)^2=r^2

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

Substituting found center (-2, 2) into the equation of a circle:

\sf \implies (x-(-2))^2+(y-2)^2=r^2

\sf \implies (x+2)^2+(y-2)^2=r^2

To find \sf r^2, simply substitute one of the points into the equation and solve:

\sf \implies (-3+2)^2+(1-2)^2=r^2

\sf \implies 1+1=r^2

\sf \implies r^2=2

Therefore, the equation of the circle is:

\sf (x+2)^2+(y-2)^2=2

4 0
2 years ago
The equation of the graphed line is x + 2y = 5. What is the x-intercept
Nata [24]
The x intercept is  -2y + 5

hope this helps
3 0
3 years ago
Can you solve for me 3ax-n/5= -4
sergeinik [125]

Answer:

If you are solving for n then it would be n=15ax+20

Hope it helps

7 0
1 year ago
Five less than one fourth of my age is 12
Ber [7]
5 less than (-5) of 1/4 of my age (age/4) is 12 (=12)

-5+a/4=12
add 5 to both sides
a/4=17
times 4 both isdes
a=68

your age is 68
6 0
3 years ago
Read 2 more answers
Before leaving to visit Mexico, levant traded 270 american dollars and received 3000 mexican pesos. When he returned from mexico
Makovka662 [10]
Levant will receive about 9 american dollars when he exchanges his pesos.

According to this question, 1 american dollar is worth about 11 pesos. In order to find that, you need to divide 3000/270 which gives you around 11. In order to find out how many dollars he will receive for his pesos, you need to divide 100 by 11 which gives you about 9 dollars.
4 0
3 years ago
Read 2 more answers
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