Answer:
Option B. (x+3) ^2+(y+4)^2=25
Step-by-step explanation:
we know that
The equation of the circle in standard form is equal to

where
(h,k) is the center and r is the radius
step 1
Find the radius of the circle
Remember that the distance of the center and any point on the circle is equal to the radius of the circle
so
Find the distance between the points (-3,-4) and (0,0)
the formula to calculate the distance between two points is equal to

substitute




step 2
Find the equation of the circle

the center is the point (-3,-4) and the radius is r=5 units
substitute


Answer: Sam and Morgan met up at 18:00. Sam left Exeter at 10:00, and was on the road for 7 hours. I know this because 175 / 25 = 7. 10:00 + 7:00 = 17:00 meaning Sam got there at 17:00. Morgan on the other hand left at 13:00 and had an average speed of 35 mph. 175/35=5. 13:00 + 5:00 = 18:00. By 18:00 both Sam and Morgan had arrived in London thus 18:00 us your answer.
Step-by-step explanation:
For this case, the first thing we must do is define variables.
We have then:
x: cost of tacos
y: cost of enchiladas.
We write the system of equations:
2x + 3y = 7.80
3x + 5y = 12.70
Solving the system we have:
x = 0.9 $
y = 2 $
Answer:
each taco and each enchilada was:
x = 0.9 $
y = 2 $
Answer:
I think it is the third one.
Step-by-step explanation:
Answer: Area is 1840units²
Step-by-step explanation:
From the given information,
Firstly, area of a rectangle is given as
A = l × b ie, length multiply by the breadth.
One of the side of the rectangle is known , AD = 16 , now to calculate the other side, we need some calculations.Since FE = 23 and
FD = DE ,,therefore,
DE = 23/2.
From the information, DE = 1/10 of DC. We now find DC the required side for finding the area of the rectangle by simple equation. Since DE = 23/2 , the equation now looks like this to get DC
23/2 = DC/10. Now , solving this
2DC = 23 × 10
2DC = 230
DC = 230/2
= 115.
Now the area of the rectangle will be
A = 16 × 115
= 1840units²