Answer:
2x^2 + 2x - 83 = 0
Step-by-step explanation:
Consecutive integers differ by 1
Let the first number be x
The next will be (x+1)
The sum of the squares of these two numbers is 85
so we have;
x^2 + (x + 1)^2 =85
= x^2 + x^2 + 2x + 2 = 85
2x^2 + 2x + 2-85 = 0
2x^2 + 2x - 83 = 0
Answer: 117cm^2
Step-by-step explanation:
Arectangle = L*W
= 54cm^2
Atrapezoid = 1/2 (a+b) (h)
= 1/2 (15+6) (6)
= 1/2 (21) (6)
= 1/2 (126)
= 63cm^2

⇒ Multiply both sides by A

⇒ The terms 'A' on the LHS cancel each other

⇒ Divide both sides by 'L'

⇒ The terms 'L' on the LHS cancel each other to '1' and the terms 'L' on the RHS will also cancel each other

The correct answer is the last option = none of the above
Answer:
<u>The correct answer is x = 7.05</u>
Step-by-step explanation:
1. Let's review the information given for answering the question:
7. 9x = 55.68
2. For solving the equation, we should proceed this way:
x = 55.68/7.9
x = 7.0481
<u>x = 7.05 (Rounding to two decimal places)</u>
<u>3. </u>Let's prove if the value of x is correct
7.9 * 7.05 = 55.68
55.69 = 55.68
<u>The value is correct because we rounded the value of x</u>
Four times (x plus three) equals four times two