Answer:
16.7
Step-by-step explanation:
We can use the Pythagorean theorem, a^2 + b^2 = c^2.
a = 11
c = 20
11^2 + b^2 = 20^2
121 + b^2 = 400
b^2 = 279
b = sqrt(279) = 16.7
Answer: The budget of Alexa is increased by $100.
Explanation:
It is given that the current income of Alexa is 3 times of her previous income.
Her previous salary was $800 and current salary was $2400.
Expenses = Rent + Utilities + Groceries + Savings + Bus
The sum of previous expenses is,
Previous expenses = $300 + $60 + $200 + $100 + $30 = $690
The sum of current expenses is,
Current expenses = $300 + $60 + $250 + $150+ $30 = $790
Effect of income on expenses is the difference of current expenses and previous expenses.
Effect of income on expenses = $790 - $690 = $100
Therefore, the budget of Alexa is increased by $100.
X+x^2=2
x^2+x-2=0
(x+2)(x-1)=0
So x=-2, 1
If you graph y=7x-9 and y=3x-1 the two lines will intersect at one point. That is how you graphically "solve" the system of equations.
Both of these lines are of the form y=mx+b where m is the slope and b is the y-intercept.
So for y=7x-9, the slope is 7 and the y-intercept is -9
For y=3x-1, the slope is 3 and the y-intercept is -1
....
The solution for this system occurs when both coordinates are equal to each other so we can say:
7x-9=3x-1 subtract 3x from both sides
4x-9=-1 add 9 to both sides
4x=8 divide both sides by 4
x=2, making y=3x-1 become:
y=3(2)-1=6-1=5, so the solution to the system of equations is:
(2,5)
Answer:
A ≈ 380.13in²
Or A= 379.94in²
Step-by-step explanation:
Formula for area:
A = π r²
A=π ·11² ≈ 380.13in²
If π is used as 3.14 then
A=3.14·11² = 379.94
