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Alex73 [517]
3 years ago
8

What does the graph line look like with a slope of -2/3 passing through the point (-2,1)

Mathematics
1 answer:
ivolga24 [154]3 years ago
6 0
Slope is (change in y)/(change in x). If you have a slope of -2/3 the change in y is -2 and the change in x is 3. Find the point (-2, 1) on the xy plane. Change the y component by -2 (move down 2 grid lines) then change the x component by 3 (move to the right 3 grid lines). If you repeat this process in both directions then draw a line through the points you'll have a line with slope -2/3 which passes through the point (-2, 1). The equation of this line is: y=-2/3x-1/3
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What is the equation of this circle in standard form?
creativ13 [48]

Answer:

Option C.

Step-by-step explanation:

Note : In the given points one point is (8,-2) instead of (-6,-2).

The standard form of a circle is

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

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

It is given that center of the circle is (-1,-2). So,

h=-1,k=-2

(x-(-1))^2+(y-(-2))^2=r^2

(x+1)^2+(y+2)^2=r^2    ...(1)

It is given that the circle passing through the point (8,-2),(-1,5),(6,-2),(-1,-9).

Substitute x=6 and y=-2 in equation (1).

(6+1)^2+(-2+2)^2=r^2

(7)^2+(0)^2=r^2

49=r^2

Substitute r^2=49 in equation (1).

(x+1)^2+(y+2)^2=49

Therefore, the correct option is C.

8 0
3 years ago
The first question please
konstantin123 [22]
It is the first question u are looking for
6 0
3 years ago
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Easy question, Easy points LIMTED TIME. LOTS OF POINTS<br><br> Topic: Volume
DedPeter [7]

Answer:

V = 77 m^3

Step-by-step explanation:

We want the volume of the cylinder

V = pi r^2 h

We know the diameter not the radius

r = d/2 = 7/2 = 3.5

V = 3.14 * (3.5)^2 (2)

V = 76.93 m^3

To the nearest cubic meter

V = 77 m^3

5 0
2 years ago
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Help! help ! help. help! help!
Serggg [28]
The answer is A..Need an explanation?
7 0
3 years ago
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A spherical tank has a radius of 6 feet. Frankie filled the tank with gasoline at a rate of 23 cubic feet per minute. At this ra
Dennis_Churaev [7]
Volume of the sphere = 4/3 πr³

Volume of the sphere = 4/3 π (6)³

Volume of the sphere = 904.78 ft³ (nearest hundredth)

1 minute = 23 ft³

Find number of minutes :
904.78 ÷ 23 = 40 mins (nearest minutes)

------------------------------------------------------------------------------------
Answer: It takes about 40 minutes to completely fill the tank.
------------------------------------------------------------------------------------
4 0
3 years ago
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