I don’t remember how to do a and b but A is 39
Answer:
-2 (x + 3z) + 4x - 3y + 2z
-2x-6x+4x-3y+2z
2x-4z-3y
hope it helps...
have a nice day!
Answers:
x = 24
y = 8√3
Explanation:
1) Since, the given triangle is a right triangle, and you have both an angle and the hypotenuse length, you can use some trigonometric ratios to find the variables.
2) The variables given represent:
x: adjacent-leg to angle 30°
y: opposite length to angle 30°
3) sine ratio:
sin 30° = opposite-leg / hypotenuse = y / (16√3)
⇒ y = 16√3 sin 30° = 16√3 × (1/2) = 8√3
4) cosine ratio
cos 30° = adjacent-leg / hypotenuse = x / (16√3)
⇒ x = 16√3 cos 30° = 16√3 (√3 / 2) = 16 × 3 / 2 = 24
Answer:
f(g(x)) = 15x + 2
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Distributive Property
<u>Algebra I</u>
- Functions
- Function Notation
- Composite Functions
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
f(x) = 5x + 7
g(x) = 3x - 1
<u>Step 2: Find</u>
- Substitute in functions: f(g(x)) = 5(3x - 1) + 7
- [Distributive Property] Distribute 5: f(g(x)) = 15x - 5 + 7
- [Addition] Combine like terms: f(g(x)) = 15x + 2
Answer:
2.) 2703
4.) 9
Step-by-step explanation:
2.)
5327 - 2624 = ?
We subtract from left to right to get;
(7 - 4 = 3) then (2 - 2 = 0) then carrying 1 from 5, (13 - 6 = 7) and (4 - 2 = 2)
So writing the answer;
2 then 7 then 0 then 3
i.e Answer = 2703
4.)
648 ÷ 72 = ?
72 × 10 = 720
So we must multiply 72 by a number less than 10 since 720 > 648
We should look for a number such that 2 in 72 times the number should give an answer with 8 in the end.
Such a number can be 9;
Manually multiplying 72 and 9 we get 648 and we are right!
