9514 1404 393
Answer:
a4 = 14
Step-by-step explanation:
Use the recursive definition repeatedly.
a1 = 8
a2 = a1 +2 = 8 +2 = 10
a3 = 10 +2 = 12
a4 = 12 +2 = 14
_____
The recursive definition tells you the terms of the sequence have a common difference of 2. The explicit formula for a term of the sequence can be written as ...
an = 8 + 2(n-1)
Then a4 is ...
a4 = 8 +2(4 -1) = 8+6
a4 = 14
Answer:
m∠V = 28°
Step-by-step explanation:
In ΔUVW:
- m∠U = (9x - 8)°
- m∠V = (2x + 2)°
- m∠W = (3x + 4)°
To find the measure of angle V, first find the value of x.
<u>Interior angles of a triangle sum to 180°</u>.
⇒ m∠U + m∠V + m∠W = 180°
⇒ (9x - 8) + (2x + 2) + (3x + 4) = 180
⇒ 9x + 2x + 3x - 8 + 2 + 4 = 180
⇒ 14x - 2 = 180
⇒ 14x = 182
⇒ x = 13
<u>Substitute</u> the found value of x into the expression for angle V:
⇒ m∠V = 2(13) + 2
⇒ m∠V = 26 + 2
⇒ m∠V = 28°
Therefore, the measure of angle V is 28°.
Learn more about interior angles of a triangle here:
brainly.com/question/27682937
-2(2x-1/2)/3 <= 1/5x-1
-2(2x-1/2)/3 <= x/5-1
-10(2x-1/2)<= 3x-15
-20x+5<=3x-15
5<=3x-15+20
5<=23x-15
5+15<=23x
20<=23
20/23 <=x
x>=20/23
Decimal Form: 0.869565
Hey there! :)
Answer:
B. 0
Step-by-step explanation:
On the graph, the line is a horizontal line. This means that there is no change in the y-value across the domain.
Thus, the graph has a slope of 0.
