Answer:
-58, -57, -56
Step-by-step explanation:
if the first integer is x,
the second integer must be x + 1 (because it's consecutive)
and the third must be x + 2
Therefore:
3 times the sum of the first and third integers is -342:
3 * (x + (x+2) ) = -342
Combine like terms in parentheses
3 * (2x + 2) = -342
Distribute the 3 to the 2x and the 2:
6x + 6 = -342
Subtract 6 on both sides
6x = -348
Divide by 6 on both sides
x = -58
x + 1 = -57
x + 2 = -56
-58, -57, -56
Check:
3 * (-58 + -56) = 3 * -114 = -342
Answer:
a=5, b=15
Step-by-step explanation:
we know that
The figure MNLO is a Kite
so
LO=NO and MN=LM
we have
LO=7a-14, NO=b+6
7a-14=b+6 -----> equation A
MN=b, LM=3a
b=3a -----> equation B
Solve the system of equations by substitution
Substitute equation B in equation A and solve for a
7a-14=(3a)+6
7a-3a=6+14
4a=20
a=5
Find the value of b
b=3a ----> b=3(5)=15
therefore
a=5, b=15
Answer:
-1280
Step-by-step explanation:
Given a₁ = -10, n = 8, r =2
Required to find nᵗʰ term.
From the general formula: aₙ= a₁ (r)ⁿ⁻¹
Therefore nᵗʰ = -10(2)⁸⁻¹
= -10(2)⁷
= - 10(128)
= - 1280
Answer:490pi
Step-by-step explanation:just trust me
