The question is telling you that the length of the rectangle is 3 metres more than twice the width.
So let:
<em>w= width</em>
<em>L= length</em>
Because the length is 3 metres more than twice<em> </em>the width: <em>L= </em><em>2</em><em>w+</em><em>3</em>
They also tell you the perimeter is 48 metres.
<em>P= L+L+w+w</em>
So the equation of the perimeter is:
<em>48= (2w+3)+(2w+3)+2w +2w</em>
<em>48= 2(2w+3) + 4w</em>
To find w, expand and simplify.
<em>48= 4w+6+4w</em>
<em>48= 8w + 6</em>
<em>42= 8w</em>
<em>5.25=w</em>
Now that you know the width, plug in the value into the length equation:
<em>L= 2w+3</em>
<em>L=2(5.25)+3</em>
<em>L=10.50+3</em>
<em>L=13.5</em>
If I am wrong let me know! I hope this helps.
12 pieces i think sorry for the uncertainty
Answer:
g(f(2)) = 11
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = 3x - 2
g(x) = x² - 5
<u>Step 2: Find g(f(2))</u>
f(2)
- Substitute in <em>x</em>: f(2) = 3(2) - 2
- Multiply: f(2) = 6 - 2
- Subtract: f(2) = 4
g(f(2))
- Substitute in <em>x</em>: g(4) = 4² - 5
- Exponents: g(4) = 16 - 5
- Subtract: g(4) = 11
Answer:
40,000 baldosas
Step-by-step explanation:
Lo primero que debemos hacer aquí es calcular el área del patio rectangular.
El mejor enfoque para esto es convertir primero sus medidas a centímetros
Matemáticamente, 100 cm = 1 m, entonces 10 m se convierten en 1000 cm y 12 m se convierten en 1200 m.
El área de un rectángulo es L * B y, por lo tanto, tenemos 1200 * 1000 = 1,200,000 cm ^ 2
Ahora, para saber la cantidad de azulejos que tendrá el patio, necesitaremos dividir el área del patio por el área de los azulejos
Matemáticamente, eso sería 1,200,000 / 30 = 40,000 fichas
Answer:
y = -3x + 1
Step-by-step explanation:
slope = -3
y = mx + b
7 = -3(-2) + b
7 = 6 + b
1 = b
y = -3x + 1
