Answer:
(
, -
)
Step-by-step explanation:
given the 2 equations
2x + 3y = - 4 → (1)
4x - y = 11 → (2)
Rearrange (2) expressing y in terms of x, that is
y = 4x - 11 → (3)
Substitute y = 4x - 11 into (1)
2x + 3(4x - 11) = - 4
2x + 12x - 33 = - 4
14x - 33 = - 4 ( add 33 to both sides )
14x = 29 ( divide both sides by 14 )
x = 
Substitute this value into (3) for corresponding value of y
y = (4 ×
) - 11 =
-
= -
= - 
solution is (
, -
)
The nth term of the geometric sequence is:
an=ar^(n-1)
where
a=first term
r=common ratio
n=nth term
from the question:
120=ar(3-1)
120=ar^2
a=120/(r^2)....i
also:
76.8=ar^(5-1)
76.8=ar^4
a=76.8/r^4.....i
thus from i and ii
120/r^2=76.8/r^4
from above we can have:
120=76.8/r²
120r²=76.8
r²=76.8/120
r²=0.64
r=√0.64
r=0.8
hence:
a=120/(0.64)=187.5
therefore the formula for the series will be:
an=187.5r^0.8
The problem to solve is:
[14]-[-14]
Because of the minus sign
14 becomes - 14
The answer is -14
[14]-[-14] evaluates to 28
The final answer is
28
mark brailiest please
Answer:
Both angles are 51°
Step-by-step explanation:
By the Vertical Angles Theorem, both angles are congruent.
Step 1: Set up equation
68 - x = 3x
Step 2: Solve for <em>x</em>
68 = 4x
x = 17
Step 3: Find angles
68 - 17 = 51°
Answer:
-1 and 3
Step-by-step explanation:
The x intercepts are where the graph crosses the x axis.
Looking at the graph it crosses at two points
x = -1 and x=3