Answer:
C. x = 1 + 3i or x = 1 - 3i
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:

<u>Algebra II</u>
Step-by-step explanation:
<u>Step 1: Define</u>
x² - 2x + 10 = 0
<u>Step 2: Identify Variables</u>
a = 1
b = -2
c = 10
<u>Step 3: Find roots</u>
- Substitute [Quad Formula]:

- Exponents:

- Multiply:

- Subtract:

- Factor:

- Simplify:

- Factor:

- Divide:

<span>The ramp's horizontal distance is the distance in the x-axis. So the ramp's vertical distance I.e y-axis is 14 inches. And its length which is actually the hypotenuse ofthe right angled triangle 16 feet. But let's convert feet to inches first.
1 feet makes 12 inches
Hence 16 feet makes 192 inches.
From pythagoras
a^2 =b^2 + c^2 where a the hypotenuse is 192 and b is 14. C is the ramp's horizontal distance.
So we have (192)^2 = (14)^2 + c^2
C^2 = 192^2 - 14^2 = 36668
C = 191.48
From SOHCAHTOA. We have to use Sin
So sin theta = (14/192)
Theta = sin^(-1) (14/192) = 4.1815.
Yes, it meets the FAC standard since the ramp's angle is less than 4.78</span>
32 3/10, 71 1/10, 73 9/10, 28 3/10, and 60
Answer:
48
Step-by-step explanation:
Remark
Use a^2 + b^2 = c^2 to solve for the height.
Givens
c = 10
b = 6
h = ?
Solution
b^2 + h^2 = c^2
6^2 + h^2 = 10^2
36 + h^2 = 100 Subtract 36
h^2 = 100 - 36
h^2 = 64 Take the square root of both sides
sqrt(h^2) = sqrt(64)
h = 8
The height = 8
Area = 1/2 * b * h
Area = 1/2 *12 * 8
Area = 48
Comment
You might wonder where the 12 came from. It wasn't given The base is the whole line across the bottom. 1/2 of it is six. The whole base = 12
The number of students would not change between before the test and after the test. 3+8 and 4+7 both = 11 so finding out how many students would equal one ratio can then be used to find how many equal 3 and 8.
If 92 students are equal to 4 in the ratio, then 1 in the ratio is worth 23 students. This is important as then when you times 23 by 7 you find out how many students there are in the regular maths class, 161 students. Plussing these two together gives you a total of 253 students.
Using this 253 you can divide it by 11 to find out how much 1 number would be in the ratio, it equals 23. Using this you can then times 23 by both 3 and 8 to find the original class sizes, 3x23 = 69, and 23x8 = 184.
Making the origional class size of the advaced class 69 studnets, and the regular maths class size 184.