Answer:
8/3 or 2.6666
Step-by-step explanation:
You have divided the first equation by 3 -- all except the 8. So you must divide the 8 by 3 giving you 8/3 which is 2 2/3 or 2.66666
Answer (x - 2y) = 8/3
Answer:
11.2 feet
Step-by-step explanation:
The two furthest corners of the bed are at (8, 6) and (5, 10). To determine which is the furthest from the origin, use the distance formula.
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((8 − 0)² + (6 − 0)²)
d = 10
d = √((x₂ − x₁)² + (y₂ − y₁)²)
d = √((5 − 0)² + (10 − 0)²)
d = 5√5
d ≈ 11.2
Therefore, the corner at (5, 10) is the furthest from the origin, about 11.2 feet away.
Answer:
x = e^2/2 + 3
Step-by-step explanation:
Solve for x:
log(2 x - 6) = 2
Hint: | Eliminate the logarithm from the left hand side.
Cancel logarithms by taking exp of both sides:
2 x - 6 = e^2
Hint: | Isolate terms with x to the left hand side.
Add 6 to both sides:
2 x = e^2 + 6
Hint: | Solve for x.
Divide both sides by 2:
Answer: x = e^2/2 + 3
- Quadratic Formula:
, with a = x^2 coefficient, b = x coefficient, and c = constant
With our equation, plug in the values:
Next, solve the exponent and multiplications:
Next, solve the subtraction:
Next, factor out i (i = √-1):
Next, solve the square root:
Lastly, divide and <u>your answer is:</u>
Answer:
See below ~
Step-by-step explanation:
Sides of a rhombus are equal.
⇒ QT = TS
⇒ x² - 4x - 10 = 6x + 14
⇒ x² - 10x - 24 = 0
⇒ x² + 2x - 12x - 24 = 0
⇒ x (x + 2) - 12 (x + 2) = 0
⇒ (x + 2)(x - 12) = 0
⇒ x = -2 or x = 12
Substitute both values and see which gives a positive value for QT :
<u>When x = -2</u> :
- QT = (-2)² - 4(-2) - 10
- QT = 4 + 8 - 10
- QT = 2
<u>When x = 12</u> :
- QT = (12)² - 4(12) - 10
- QT = 144 - 48 - 10
- QT = 86
The 2 possible answers are :
- x = -2, QT = 2
- x = 12, QT = 86
