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ICE Princess25 [194]
3 years ago
14

Find the equation of a line that passes through the point (0,4) and has a gradient of 2.

Mathematics
1 answer:
valina [46]3 years ago
6 0

Answer:

y = 2x + 2

Step-by-step explanation:

y = mx+c

m = slope

c =y -intercept

Therefore, the required equation is:

y = 2x + c

Putting the point (0,4) in it as it lies on a line, we get:

4 = 2 + c

Therefore:

c = 2

So, y = 2x + 2

Brainlist pls!

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The equation of a circle is x^2 + y^2 -4x + 2y -11 =0 . What are the center and the radius of the circle? Show your work.
stira [4]

Answer:

Center: (2,-1)

Radius: 4 units

Step-by-step explanation:

Equation of the circle in standard form is:

x^{2}+y^{2}+2gx+2fy+c=0

The radius of this circle is located at (-g, -f) and its radius is equal to:

r=\sqrt{g^{2}+f^{2}-c}

The given equation of circle is:

x^{2}+y^{2}-4x+2y-11=0

Re-writing this equation in a form similar to the standard equation:

x^{2}+y^{2}+2(-2)x+2(1)y-11=0

Comparing this equation with standard equation we can say:

g= -2

f = 1

c = -11

So, the center of the circle will be located at (-g, -f) = (2, -1)

And the radius will be = \sqrt{g^{2}+f^{2}-c} =\sqrt{(-2)^{2}+(1)^{2}-(-11)} =\sqrt{16} =4

Thus the radius of the given circle is 4 units.

7 0
3 years ago
Mark lives 5,000 feet from school. He walks to school at a steady rate of 250 feet per minute. Use that information and the diag
bonufazy [111]

Answer:

If you are looking for the answer, It will take him 25 miles to walk to school.

Step-by-step explanation:

6 0
3 years ago
HELP FOR NUMBER 16 THROUGH 19 QUICKLY PLEASE
Ymorist [56]
16)  9y+2r     If she bought 1 dog toy and 2 treats: 9(1)+2(2)= 13
17)  5n-3n= 2n
        17-2+7= 22   Combine like terms
         2n+22           Write out expression
        2(8)+22= 38   Plug in 8.
        Answer: 2n+22; 38
18)  5h^3   h represents the # of weeks; Find # of tickets sold in 3 weeks:h=3
       5(3)^3    plug in 3
       5(27)      PEMDAS; Exponents first; 3*3*3= 27
       Answer: 135         
19)  It is true
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       10*10*10=(10)^3
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3 years ago
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