Answer:
The answer to your question is 10 units
Step-by-step explanation:
Data
A (-3, -1)
B (-3 , 5)
length of a side = 8 units
Process
1.- Calculate the distance between A and B
dAB =
x1 = -3 y1 = -1
x2 = -3 y2 = 5
-Substitution
dAB =
dAB =
dAB =
dAB = 6 u
2.- Calculate the diagonal using the Pythagorean theorem.
c² = a² + b²
c² = 6² + 8²
c² = 36 + 64
c² = 100
c = 10 units
- Conclusion
The diagonal of the rectangle measures 10 units
Answer: -1 and 1
Step-by-step explanation:
i gotchu, no worries!
first, move the constant to the right. then, you calculate that. then change the signs, and simplify the expression. (i can't type out square root signs, so thats why there's no work shown.)
then, evaluate it.
x^2 - 9 = -2^3
next, move the constant to the right.
x^2 - 9 = -8
next, calculate it.
x^2 = -8 + 9
simplify it.
x^2 = 1
finally separate the solutions.
x = 1
x = -1
Answer:
Taxable income is $16600 .
Step-by-step explanation:
As given
Nick and Nora are married and have three children in college.
They have an adjusted gross income of $47,400.
If their standard deduction is $12,600 itemized deductions are $14,200 and they get an exemption of $4000 for each adult and each dependent .
Total exemption amount = Total number of adult and each dependent × Amount of exemption .
= 5 × 4000
= $ 20000
Thus
Taxable income = Adjusted gross income - Standard deduction - Itemized deductions - Total exemption amount
= $47400 - $12600 - $ 14200 - $4000
= $ 47400 - $ 30800
= $ 16600
Therefore the taxable income is $16600 .
Answer:
True
Step-by-step explanation:
I think i am correct dear
Answer: 45 = 5t
Step-by-step explanation:
From the question, Jamahl wants to celebrate his birthday by roller skating with his friends and he has a total of $45dollar to buy t tickets.
We are further told that the ticket costs $5. The equation that matches the situation will be:
45 = (5 × t)
45 = 5t
t = 45/5
t = 9
He can buy 9 tickets