Answer:
2
Step-by-step explanation:
2x – 3y + 5 – (x – 3y) = 11 – 2x . . . . . given
2x -3y +5 -x +3y = 11 -2x . . . . . . . . . . .eliminate parentheses
x +5 = 11 -2x . . . . . . . . . . . . . . . . . . . . . collect terms
3x = 6 . . . . . . . . . . . . . . . . . . . . . . . . . . add 2x-5
x = 2 . . . . . . . . divide by 3
The value of x is 2.
Answer:
x = 12
prism's length = 36 centimeters
Prisms width = 25 centimeters
Step-by-step explanation:
volume of a rectangular prism, V = length × width × height
volume = 10,800 cubic centimeters
prism's length = 3x
Prisms height = 12 centimeters
Prisms width = (2x + 1)
volume of a rectangular prism, V = length × width × height
10,800 = 3x * 2x + 1 * 12
10,800 = 6x² + 3x * 12
10,800 = 72x² + 36x
72x² + 36x - 10,800 = 0
2x² + x - 300 = 0
Using quadratic formula
x = -b ± √b² - 4ac / 2a
= -1 ± √1² - 4*2*-300 / 2*2
= -1 ± √1 - (-2400) / 4
= -1 ± √1 + 2400 / 4
= -1 ± √2401 / 4
= -1 ± 49 / 4
x = (-1 + 49)/4 or (-1 - 49)/4
= 48/4 or -50/4
x = 12 or -12.5
x cannot be a negative value
Therefore, x = 12
prism's length = 3x
= 3(12)
= 36 centimeters
prism's length = 36 centimeters
Prisms width = (2x + 1)
= 2(12) + 1
= 24 + 1
= 25 centimeters
Prisms width = 25 centimeters
After you type in your equations and hit graph you notice that, if you are in the standard window, your parabola is cut off so you have to choose your "window" button to change the viewing window to see the whole graph. Then you would use your 2nd button and "trace" and "intersect" to find the points of intersection of the 2 graphs. The first point is at (-.90901, 16.81812) and the second point is at (5.9090909, 3.1818182). Graphing calculators are quite amazing!
Answer:
The answer is "100 place".
Step-by-step explanation:
In this question, the place value of the 9 is 100 because in the given digit "87,942" the 9 is coming in the 100 places.
In 87,942,
8 is in 10,000 locations and its place value= 80,000.
7 is in 1,000 locations and its place value= 7,000.
9 is in the 100 locations and its place value= 900.
4 is in the 10 locations and its place value= 40.
2 is in the 1 location and its place value= 2.
Please find the attached file.
Answer:
It equals
Step-by-step explanation:
