Answer:
w= 7/4 +1/4 √89 OR w= 7/4 -1/4 √89
Step-by-step explanation:
2w^2-8w-1= (w-2)^2
Multiply (w-2)^2 by (-1)
2w^2-8w-1= -w+2^2
Add w to both sides
2w^2-7w-1= 4
Add 1 to both sides therefore that -1 cancels
2w^2-7w=5
Get the equation equal to 0 by subtracting 5 from both sides
2w^2-7w-5=0
Use the quadratic formula to solve
x= -(-7) plus or minus √(-7)-4(2)(-5)/2(2)
7 plus or minus √89/4
The two numbers are 22 and 7.
22 + 7 = 29
22 - 7 = 15
here is how we can find these numbers;
let a and b are two numbers
a + b = 29
a - b = 15
a = 15 + b
now put this value of a in any of the equation
a + b = 29
15 + b + b = 29
15 + 2b = 29
2b = 29 - 15
2b = 14
b = 7
now put the value of b to find the value of a;
a = 15 + b = 15 + 7 = 22
a = 22
Answer:
Step-by-step explanation:
Rhombus: All sides are congruent, 2 pairs of parallel sides,
Parallelogram: 2 pairs of parallel sides,
Square: All sides are congruent, 2 pairs of parallel sides, four right angles
Answer:
The time it will take Kalin will be 2h 33m
Step-by-step explanation:
First we will transform the numbers to work more comfortable
d = distance
v = velocity
v = 3 2/3 miles per hour = 3.33 mi/h
d = 4 1/4 milles = 4.25 mi
As the time it takes to go to the beach and back asks us, we have to do the distance 2 times
d = 4.25 mi * 2
d = 8.5 mi
To calculate the time it takes, we simply have to divide the distance by the velocity
t = d/v
t = 8.5 (mi) / 3.33(mi/h)
t = 2.55h
if we also want to express the minutes we can divide after the point .55 by 100 and multiply it by 60
(55/100)*60 = 33
t = 2h 33m
The time it will take Kalin will be 2h 33m
Answer:
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Step-by-step explanation:
