Answer:
The answer is <u>g = 0.5</u>
Step-by-step explanation:
1. Your equation is :
<em>9+3.5g=11-0.5g</em>
2. First, multiply both sides by ten
<em>9 * 10 + 3.5 * 10 = 11 * 10 - 0.5 * 10</em>
3. Next we refine the equation
<em>90 + 35g = 110 - 5g</em>
4. Now, lets subtract 90 from both sides
<em>90 + 35g - 90 = 110 - 5g - 90</em>
5. Simplify
<em>35g + 5g = -5g + 20 + 5g</em>
6. We then add 5g to both sides
<em>35g + 5g = -5g + 20 + 5g</em>
7. Simplify again
<em>40g = 20</em>
8. Now, divide both sides by 40
<em>40g/40 = 20/40</em>
9. And finally, simplify once again to get your final answer.
<em>g = 1/2 or 0.5</em>
I hope this helped :)
Answer:
1. R and Z 2. AC and AE
Step-by-step explanation:
Hello from MrBillDoesMath!
Answer:
(x-8)^(1/3) +2
Discussion:
To find the inverse of a function swap the values of x and y in the original equation y = (x-2)^3 +8 and solve for y.
y = (x-2)^3 +8 => original function. swap x and y values
x = (y-2)^3 + 8 => subtract 8 from both sides
x - 8 = (y -2)^3 => take cube root of both sides
(x-8)^(1/3) = y - 2 => add 2 to both sides
(x-8)^(1/3) +2 = y => y is the inverse
Thank you,
MrB
So the problem ask to calculate and covert the said equation or expression to the form of ca^pb^q where as all of the variables is a number. So base in that information and following some formula, the answer would be a^(-3/2)b. I hope you are satisfied with my answer
Answer:
1)Area; A = ¼πr²
Perimeter; P = πr/2 + 2r
2)A = 19.63 cm²
P = 17.85 cm
3) r = 8.885 cm
4) r = 14 cm
Step-by-step explanation:
This is a quadrant of a circle. Thus;
Area of a circle is πr². A quadrant is a quarter of a circle. Thus;
Formula for Quadrant Area is; A = ¼πr²
A) Perimeter of a circle is 2πr. Thus, perimeter of a quadrant is a quarter of the full circle perimeter.
Formula for the quadrant perimeter in the image given is;
P = 2πr/4 + 2r
P = πr/2 + 2r
B) When r is 5 cm;
A = ¼π(5)²
A = 19.63 cm²
P = π(5)/2 + 2(5)
P = 17.85 cm
C) when A is 100cm²:
¼πr² = 100
r² = 100 × 4/π
r² = 78.9358
r = √78.9358
r = 8.885 cm
D) when P = 50 cm.
50 = πr/2 + 2r
50 = (½π + 2)r
r = 50/(½π + 2)
r = 14 cm
