Answer:
32 notebooks will fit.
Step-by-step explanation:
Answer:
Correct answer: x = - 3 and y = - 5
Step-by-step explanation:
Given:
2 x - y = - 1
3 x - 2 y = 1
We will multiply first equation with number (- 2) and get:
- 4 x + 2 y = 2
then we add this equation to another and get:
- 4 x + 3 x = 2 + 1
- x = 3 / · (- 1)
x = - 3
now we replace x = - 3 in the first equation and get:
2 (- 3) - y = - 1 ⇒ - 6 - y = - 1 / ·(- 1) ⇒ 6 + y = 1 y = 1 - 6 = - 5
y =- 5
God is with you!!!
<h3>
Answer:</h3>
x = 77.56 cm
y = 69.71 cm
<h3>
Step-by-step explanation:</h3>
The mnemonic SOH CAH TOA reminds you that ...
... Cos = Adjacent/Hypotenuse
so ...
... cos(64°) = (34 cm)/x
... x = (34 cm)/cos(64°) ≈ 77.56 cm
___
It also reminds you ...
... Tan = Opposite/Adjacent
so ...
... tan(64°) = y/(34 cm)
... (34 cm)·tan(64°) = y ≈ 69.71 cm
To solve for a variable, you need to get it (x) by itself.
2x² - 4x + 5 = 6 Subtract 6 from both sides
2x² - 4x - 1 = 0 Plug this into the Quadratic Formula
a = 2 , b = -4 , c = -1
x =
Plug in your values
x =
Simplify
x =
Simplify
x =
Simplify by removing a 2 from every term
x =
Simplify by taking the fraction apart
x =
Change
to 1
x = 1
Simplify
to
x = 1