Answer:
<h3>(x+8)² + (y - 9)² = 100</h3>
Step-by-step explanation:
The general equation of a circle is expressed as;
(x-a)² + (y - b)² = r² where;
(a, b) is the centre of the circle
r is the radius
Given
Centre (-8, 9) where a = -8, b = 9
radius r = 10
Substitute into the formula to get the required equation;
(x-(-8))² + (y - 9)² = 10²
(x+8))² + (y - 9)² = 10²
(x+8)² + (y - 9)² = 100
Hence the required equation is (x+8)² + (y - 9)² = 100
Step-by-step explanation:
<u>The standard form of linear equation:</u>
<u>Convert each equation into standard form:</u>
<h3>#5</h3>
- 3x = 18
- 3x + 0y - 18 = 0
- A = 3, B = 0, C = - 18
<h3>#6</h3>
- y/2 = - 5
- 0x + 1/2y + 5 = 0
- A = 0, B = 1/2, C = 5
Answer:
11.4 and/or 11 2/5
Step-by-step explanation:
You can turn 22 4/5 into a decimal which is 22.8 and divide that by 2 and it gets you 11.4. You can also turn 22 4/5 into an improper fraction which is 114/5. Multiply that by 1/2 which is 11 2/5.
Answer:
4(3x2y4)3/(2x3y5)4
Final result :
27
—————
4x6y8
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(((3•(x2))•(y4))3)
4•——————————————————
((2x3•(y5))4)
Step 2 :
Equation at the end of step 2 :
((3x2 • (y4))3)
4 • ———————————————
24x12y20
Step 3 :
33x6y12
Simplify ————————
24x12y20
Dividing exponential expressions :
3.1 x6 divided by x12 = x(6 - 12) = x(-6) = 1/x6
Dividing exponential expressions :
3.2 y12 divided by y20 = y(12 - 20) = y(-8) = 1/y8
Equation at the end of step 3 :
27
4 • ——————
16x6y8
Step 4 :
Final result :
27
—————
4x6y8
If you add a value to the outcome of the function (as in case a), you will just shift the graph up along the y-axis. Makes sense, right, since you're adding an extra 2 to the value you will plot on the y axis.
If you subtract (in this example) a value to the input of the function, you're actually "looking back" into the past of the graph (i.e., the left side). For example, for x=4 you're now plotting the value that used to be at x=1. So this shifts the graph to the right.
That may be confusing at first. But I hope with a little thought experiment, you get it.
