Answer:
x=5
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 + b^2 = c^2
x^2+ ( 2x+2)^2 = (2x+3)^2
FOIL the squared terms
x^2 +(4x^2 + 4x+4x+4) = 4x^2 + 6x+6x +9
Combine like terms
5x^2+8x +4 = 4x^2 +12x +9
Subtract 4x^2 +12x +9 from each side
5x^2+8x +4 -4x^2 -12x -9= 4x^2 +12x +9-4x^2 -12x -9
x^2 -4x -5 =0
Factor
(x-5) (x+1) = 0
Using the zero product property
x=5 x=-1
But x cannot be negative or we would have negative length
x=5
Their could be 14 people who order the deluxe and 18 people who get regular meals
Answer:
29. See table below
30. See attached graph
31. The slope is m= 0.10
The slope represent the cost for every additional call minute.
Step-by-step explanation:
The cost is $0.5 first minute and $0.10 for any additional minutes
If c is the total cost of a call that last t minutes then;
c= 0.10t + 0.5-----where t is the time the call lasted
29. Use the equation above to create the table as;
t {x} c{y}
1 0.6
2 0.7
3 0.8
4 0.9
5 1.0
6 1.1
The graph of this plot is as attached , where the coordinates are
{1,0.6} , {2,0.7} ,{3,0.8} ,{4,0.9} ,{5,1.0}, {6,1.1}
The slope can be found using the formula;
m=Δy/Δx
m= 1.1 - 0.6 / 6-1
m= 0.5 / 5 = 0.10
The slope represent the cost for every additional call minute.
Solution:
<u>Note that:</u>
- Area = Base x Height
- Perimeter = Sum of all sides
<u>Finding the area of the parallelogram:</u>
- Area = Base x Height
- => Area = 9.2 x 3.8
- => Area = 34.96 cm²
<u>Finding the perimeter of the parallelogram:</u>
- Perimeter = Sum of all sides
- => Perimeter = 2(4.1) + 2(9.2)
- => Perimeter = 26.6 cm
Correct option is D.
Answer:
a. €1200;$1667.70
Step-by-step explanation:
a. Number of euros

b. Dollars remaining
Dollars on hand = $1962.00
Less 15 % spent = 0.15 × 1962 = <u> -294.30</u>
Balance remaining = $1667.70