Answer:
0.86
Step-by-step explanation:
Its just multiplication
1)
x^2 - 49 = 0
factor
(x+7)(x-7) = 0
x+7 = 0; x = -7
x -7 = 0; x = 7
2)x^2 - 18x + 81 = 0
factor
(x- 9)(x - 9) = 0
x - 9=0; x = 9
3)
x^2 + 3x = 40
x^2+3x - 40 = 0
factor
(x + 8)(x - 5) = 0
x+8 = 0; x = -8
x -5 = 0; x = 5
4)
3x^2 - 75 = 0
3(x^2 - 25) = 0
3(x+5)(x-5) = 0
x + 5 = 0; x = -5
x - 5 = 0; x = 5
5)
2x^2 - 15 = 7x
2x^2 - 7x - 15 = 0
(2x + 3)(x - 5) = 0
2x+3 = 0; x = -3/2
x - 5= 0; x = 5
6)
4x^2 + 16x - 48 = 0
4(x^2 + 4x - 12) = 0
4(x + 6)(x - 2) = 0
x + 6 = 0; x = -6
x - 2 = 0 ; x = 2
Answer: 4 m
Step-by-step explanation:
Let the amount each dimension was increased by be x.
Now we can set up a equation.
(2+x)(4+x) = 48
8 + 2x + 4x + x^2 = 48
x^2 + 6x - 40 = 0.
We can factor the left side of the equation.
(x+10)(x-4) = 0.
Therefore, x equals either -10 or 4. Since you can't increase a dimension by a negative amount, x must equal to 4.
Julio began at a 4 mile elevation. Kathy began at 0 elevation. Kathy made it to 8 miles first. Kathy experienced a greater elevation change. Hope that helps :)
The velocity or speed of the kayaker going north at a speed of 3 m/s and that of the current going east at a speed of 2 m/s create a resultant speed of √13 m/s. The new distance that has to be traveled by the kayaker in order to move 100 m north is calculated through the equation,
3 / √13 = 100 / x
The value of x is 120 m. The total time it will take for the kayaker to reach the destination is,
t = 120 / √13 = 33.33 s