Answer:
x = 5
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = 
bh ( b is the base and h is height )
Here A = 20, b = (x + 3) and h = (2x - 5) , then
(x + 3)(2x - 5) = 20 ← multiply both sides by 2
(x + 3)(2x - 5) = 40 ← expand left side using FOIL
2x² + x - 15 = 40 ( subtract 40 from both sides )
2x² + x - 55 = 0 ← in standard form
(x - 5)(2x + 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
2x + 11 = 0 ⇒ 2x = - 11 ⇒ x = - 5.5
But x > 0 , so x = 5
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
The sum of angle measures in a quadrilateral is 360°.
(8x-5)° +107° +83° +119° = 360°
8x = 56 . . . . . . . divide by °, subtract 304
x = 7 . . . . . . . . . . divide by 8
Answer:
1. There is a vertical shift.
Step-by-step explanation:
The component +60 translates the original function in the 
direction. The operation is described by following formula:
(1)
Where:
- Original function.
- Resulting function.
- Vertical translation distance.
Since resulting function is a consequence of a translation in direction, then 
. Hence, correct answer is 1.
Answer: The explicit rule for the geometric sequence is:
an=(2/5) (5)^(n-1), for n=1, 2, 3, 4, ...
Solution:
a1=2/5
an=5 (an-1)
n=2→a2=5 (a2-1)= 5 (a1)= 5 (2/5)→a2= (2/5) (5)
n=3→a3= 5 (a3-1)= 5 (a2)= 5 [(2/5) (5)]=(2/5) (5)^(1+1)→ a3=(2/5) (5)^2
n=4→a4= 5 (a4-1)= 5 (a3)= 5 [(2/5) (5)^2]= (2/5) (5)^(2+1)→ a4=(2/5) (5)^3
a1=2/5=(2/5) (1)=(2/5) (5)^0→a1=(2/5) (5)^(1-1)
a2=(2/5) (5)=(2/5) (5)^1→a2=(2/5) (5)^(2-1)
a3=(2/5) (5)^2→a3=(2/5) (5)^(3-1)
a4=(2/5) (5)^3→a4=(2/5) (5)^(4-1)
Then:
an=(2/5) (5)^(n-1), for n=1, 2, 3, 4, ...
Answer:
1024
Step-by-step explanation:
well i really do not know
