Answer:
The area of this triangle would be 24.
Step-by-step explanation:
In order to find this, we need to first determine what to use as the base of the triangle. Since when we draw it, the line between G and H is a flat line, it is the easiest to use as a base. Finding the length of the base is easy because we are simply looking for the difference in the x values.
6 - -2 = 8 = base
Now that we have the base, we need to find the height. The height is always the perpendicular line from the 3rd point to the base line. In this case, this would just be the change in y from the other two.
5 - -1 = 6 = height
Now that we have those two distances, we can just use the triangle formula.
A = 1/2bh
A = 1/2(8)(6)
A = 24
Answer:
Hya, The vertex of the function is at (1,-25) and the Graph is negative on the entire interval -4 < x < 6.
Step-by-step explanation:
1. the vertex of the function:
f(x)= (x + 4)(x - 6) = x^2 - 2x - 24
x₀= 2/2= 1 y₀= 1^2 - 2*1 - 24= -25
(1; -25)
2. the Graph is negative on the entire interval -4 < x < 6
To find k, you would add 16 to 11.
k = 27
these two bars | | mean <u>absolute value</u>
here's how to find x
| x - 7| = 2
first apply the absolute rule
x - 7 = 2 x - 7 = -2
in both equations add 7 on both sides
x - 7 + 7 = 2 + 7 x - 7 + 7 = -2 + 7
then simplify the expressions
x = 9 x = 5
now combine these two solutions to get your answer
x = 9 or x = 5
hopefully my explanation helps
Answer:
- $223.84 at the end of the month, or
- $223.31 at the beginning of the month
Step-by-step explanation:
The annuity formula is used for this.
A = P((1+r/12)^(12t) -1)/(r/12)
gives the balance A resulting from payments P being compounded monthly at annual rate r. (Payments are made at the end of the month.)
50,000 = P((1 +.028/12)^(12·15) -1)/(0.028/12) ≈ 223.378772P
P ≈ 50,000/223.378772 ≈ 223.84
To achieve the desired balance, Tometeo must deposit $223.84 at the end of every month.
_____
If Tometeo makes his deposits at the beginning of the month, then the amount is less by the interest earned for the month:
$223.84/(1 +.028/12) ≈ $223.31 . . . . beginning of the month deposit amount