Answer:
Step-by-step explanation:
1.Find X
x^2 +8x+15 = (x+5)
-x -x
x^2+7x+15=5
-5 -5
x^2 +7x+10=0
Do the quadralic formula
a=1 b=7 c=10
<u>-7±√7^2-4(1)(10)</u>
2(1)
<u>-7±√49-40</u>
2
<u>-7±√9</u>
2
-7±3
divide 2 by each number
-3.5 ± 1.5
-3.5+1.5 -3.5-1.5
-2 -5
x= -2 x=-5
2. find the length of the garden
-2+5 =3
the length is 3
3. plug in the length to the area of the garden
-5^2+8(-5)+15=3
solve
25-40+15=3
0=3
the width of the garden is 3 square feet
S = (n-2) * 180
s = (14-2) * 180
s = 2160
2160/ 14 = 154.3
The answer is A
Answer:
x=3
y=-1
Step-by-step explanation:
x=4+y
by substitution it in equation 1
weget
(4+y)+y=2
4+2y=2
y=-1
x=3
The 30th term of the given sequence is 82.
<u>Step-by-step explanation</u>:
- The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on.
- The given linear sequence (-5,-2,1,4,7) is in the form of Arithmetic Progression with a common difference of 3.
- -5, -5+3 = -2, -2+3 = 1, 1+3 = 4 and so on.
The nth term is given by the formula nth term = a + (n - 1) d
where
a = first term
d = common difference
<u>To find the 30th term in the given sequence :</u>
The first term, a = -5 and the common difference, d = 3.
30th term = -5 + (30-1) 3
⇒ -5 + (29) 3
⇒ -5 + 87
⇒ 82
Therefore, the 30th term in the given sequence is 82.
