Answer:
w=1 5/24
Step-by-step explanation:
7/9-4/3w=-5/6
-4/3w=-5/6-7/9
-4/3w=-15/18-14/18
-4/3w=-29/18
w=-29/18:(-4/3)
w=29/18*(3/4)
w=29*3/18*4
w=29/6*4
w=29/24
w=1 5/24
Answer:
x = a/(a² + b²) or x = -1/a
Step-by-step explanation:
a(a²+ b²)x² + b²x - a =0
Use the quadratic equation formula:

1. Evaluate the discriminant D
D = b² - 4ac = b⁴ - 4a(a² + b²)(-a) = b⁴ + 4a⁴ + 4a²b² = (b² + 2a²)²
2. Solve for x


Answer:
x = 4
Step-by-step explanation:
A trapezium is a quadrilateral (has four sides and four angles) with one pair of parallel sides. A trapezium is said to be isosceles if the bases are parallel, the two other sides known as the legs are equal and diagonals of the trapezium are equal to each other.
In trapezoid ABCD, BC and AD are the diagonals.
Hence BC = AD (property of isosceles trapezoid)
9x + 1 = 12x - 11
Simplifying:
12x - 9x = 1 + 11
3x = 12
Dividing both sides by 2:
x = 4
Answer:
100 in is the answer.
Step-by-step explanation:
a = 60 in
b = 80 in
c = ?
According to the Pythagorean theorem,
a² + b² = c²
60² + 80² = c²
3600 + 6400 = c²
c² = 10000
c = 100 in
∴ the distance between the opposite corners of the bed is 100 in
Answer:
?
Step-by-step explanation: