Answer:
Step-by-step explanation:
(x+3)² -5 =0 , use the formula (a+b) ² = a²+b²+2ab
x²+9 +6x -5 =0 , combine like terms
x²+6x +4 =0, use the quadratic formula x = (-b±√b²-4ac)/2a
x= (-6 ±√6²-4*1*4)/2*1
x= (-6 ± √36-16) /2
x= (-6±√20)/2
x=(-6 +2√5)/2 and x=( -6-2√5) /2, factor 2 in the numerator and simplify
x= -3 +√5 and x= -3 -√5
Answer:
w = 6
RS = 13
Step-by-step explanation:
RS + ST = RT
(2w + 1) + (w - 1) = 18
3w = 18
; w = 6
Hence the value of RS = 2(6) + 1
; RS = 13
AC = AB + BC
56 = (x + 16) + (5x + 10)
56 = 6x + 26....then rearrange the equation to form...;
56 - 26 = 6x
30 = 6x...
where...; x = 5
AB = 5 + 16 and BC = 5(5) + 10
;AB = 21 ;BC = 35
Jack's mom is purchasing thirteen tickets at a price of $11 each. This
equals a total of $143 in total spent. If Jack's mom has a credit card
limit of $500, then after purchasing $143 with the card, her available
amount to purchase additional things is $357. This impact on her
available credit is due to credit cards working on an available balance
system. When Jack's mom first received her credit card, a set balance or
total amount she could purchase with the card was set. In this example,
her total amount she could purchase with the card was $500. After her
purchase of the tickets for $143 was completed, she subtracted that
amount from her total available of $500 and that is why her available
amount to purchase is now $357.
Answer: x= -6
Step-by-step explanation:
It will be a vertical line parallel to the y-axis at -6 on the x-axis. It passes through every y-value, including the given -5 and -2
3.75
10 ft - 2.5
Half of 2.5 is 1.25.
2.5 + 1.25 = 3.75
