Answer:
- x^2+y
- 3(n-7)
- 37x-9.85
Step-by-step explanation:
1. If x represents a number, then x^2 represents its square. If y represents a second number, then the sum of that square and the second number is ...
x^2 + y
__
2. The difference of a number (n) and 7 is (n-7). Three times that difference is ...
3(n - 7)
__
3. If x represents a number, then the product of 37 and a number is 37x. 9.85 less than that is ...
37x - 9.85
Step-by-step explanation:
let the integer be x .
three consecutive integers : x, x+1, x+2.
according to the problem,.
Let the first of the 3 consecutive numbers be X.
Therefore the second number is (X + 1)
The third number is therefore (X + 2)
The product of the 3 consecutive numbers is:
( X )( X + 1 )( X + 2 ) = 3360 Equation( 1 )
Expanding Equation ( 1 ) gives
X³ + 3X² + 2X - 3360 = 0 Equation (2)
Solve Equation (2 ) which gives the following values for X
X1 = 14
X2 = - 8.5 + i (12.951834)
X3 = - 8.5 - i (12.951834).
the numbers are 14,15,16.
sum is 14+15+16 = 45.
hope this helps you.
Answer:
11.91
Step-by-step explanation:
The question says there is a new line that connects V and T. If this line is drawn, the diagram would have a right-angle triangle. This triangle is called TUV.
In triangle TUV, the side length created by the points VT is the hypotenuse.
For right-angle triangles, you can use the Pythagorean theorem to find any side.
It's in the format side² + side² = hypotenuse².
To use the formula, you need to know the length of the other two sides. The length of these sides, because they are exactly horizontal or vertical, is found by subtracting the smaller coordinate from the other (that is not the same).
The lengths of other sides:
VU:
-3 is the same. The length is 3.5 - (-5.75) = 9.25
UT:
-5.75 is the same. The length is 4.5 - (-3) = 7.5
Substitute the lengths into the Pythagorean theorem:
a² + b² = c²
9.25² + 7.5² = c² Simplify
141.8125 = c² Find the square root of both sides to isolate c
c = 11.91 Final answer, length of VT
Answer:
I think it's 7
Step-by-step explanation:
-6 < 2T (-5+5) < 3+5
-6 < 2T < 8
+6 < 2T < 8 + 6
0 < 2T < 14
0 < ÷ 2 < ÷ 2
0 < T < 7
-0 < T < -0
T = 7
