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Charra [1.4K]
3 years ago
13

Find the value of x in each case.

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
5 0
62 is the awnser for this
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A line has a slope of -6 and includes the points (g,-8) and (0,-2). What is the value of g?​
Travka [436]

Answer:

Step-by-step explanation:

Equation for line of slope -6 that passes through (0,-2):

y+2 = -6(x-0)

y = -6x - 2

Plug in (g,-8) and solve for g:

-8 = -6g - 2

g = 1

7 0
3 years ago
The equation of a circle C, with centre O, is:
Nataliya [291]

Answer:

a) The center coordinates O is  (0,0)

b) The radius C = 15

Step-by-step explanation:

The given equation of the circle is : x^{2}  +  y^{2}  = 225

Now, general form of the equation of the circle is:

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

where (h,k) are the center co -ordinates and r is the radius of the circle.

Comparing the general equation with the given equation, we get

(x-0)^{2}  + (y - 0)^{2}   = (15)^{2}

So, here the center coordinates (h,k) = (0,0)

And the radius of the given circle is r = 15

8 0
3 years ago
Describe how to write 3x+2y=12 in function notation. Assume that y represents the dependant variable.
kotegsom [21]
Im not so sure but, 3x2=6; 2x3=6; 6+6=12
5 0
4 years ago
-3x+3y=12<br> Y=x+4<br> Whats the soultion
lisov135 [29]

The system of equations has infinitely many solutions

<em><u>Solution:</u></em>

<em><u>Given system of equations are:</u></em>

-3x + 3y = 12 ------- eqn 1

y = x + 4 --------- eqn 2

We have to find the solution to the system of equations

We can use substitution method

Substitute eqn 2 in eqn 1

-3x + 3(x + 4) = 12

-3x + 3x + 12 = 12

-3x + 12 = -3x + 12

If we have terms with same terms on both sides of equal sign, then we have infinitely many solutions

Thus the system of equations has infinitely many solutions

5 0
3 years ago
X² + y² = 8
ohaa [14]

Answer:

(2,2)~ \text{and}~ (-2,-2)

Step by step explanation:

x^2 +y^2 =8~~~~~~...(i)\\\\x-y=0~~~~~~~~~...(ii)\\\\\text{From (ii):}\\\\x-y = 0 \implies x = y\\\\\text{Substitute x = y  in eq (i):}\\\\~~~~~~y^2 +y^2 =8\\\\\implies 2y^2 = 8\\ \\\implies y^2 = \dfrac 82\\\\\implies y^2 = 4\\\\\implies y = \pm\sqrt 4\\\\\implies y = \pm 2\\\\\text{Substitute y = x  in equation (i):}\\ \\~~~~~~x^2 +x^2 = 8\\ \\\implies 2x^2 = 8\\\\\implies x^2 = \dfrac 82\\\\\implies x^2 = 4\\\\\implies x = \pm\sqrt 4\\\\\implies x = \pm2\\\\

\text{Hence,}~ (x,y) = (\pm2, \pm 2)

3 0
2 years ago
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