Answer:
1) 18 yards
2) x = 24
3) 36 yards
4) y = (-9/98)(x - 24)² + 18
Step-by-step explanation:
The path is symmetrical about x = h
h = (10+38)/2 = 24
x = 24
Distance = 18 + 18 = 36
Vertex: (24,18)
y = a(x - 24)² + 18
At t = 10, y = 0
0 = a(10 - 24)² + 18
a = -18/14²
a = -18/196 = -9/98
y = (-9/98)(x - 24)² + 18
Answer:
(f(x) -f(a))/(x -a) = x +a +1
Step-by-step explanation:
(f(x) -f(a))/(x -a) = ((x^2 +x +5) -(a^2 +a +5))/(x -a) = (x^2 -a^2 +x -a)/(x -a)
= ((x -a)(x +a) +(x -a))/(x -a) = x +a +1
(f(x) -f(a))/(x -a) = x +a +1
Answer:
Make tables of equivalent ratios relating quantities with whole-number measurements, find missing values in the tables, and plot the pairs of values on the coordinate plane.
Step-by-step explanation:
5a+3b
5(2)+3(4)
10+12
22
(5+a)(3+b)
(5+2)(3+4)
(7)(7)
49
The order of the steps differ for the two expressions because for the first expression, you multiply 5a and 3b first. Then, you add them together. However, for the second expression, you add what's inside the parenthesis first then multiply them. So, the order of the steps is the opposite of the other expression.
Answer:
The Cost of wallet was $26.30.
Step-by-step explanation:
Given:
Total billed after redeeming voucher = $34.45
Voucher worth = $5
We need to find the cost of Wallet.
Solution:
Let the amount paid for groceries be 'x'.
Now Given:
She purchases a wallet that amounted to double the price she paid for the groceries she bought.
Cost of wallet = 
Now to find the cost of wallet we will consider the amount before redeeming the voucher.
Hence Total bill before redeeming the voucher = 
Now We can say that;
Total bill is equal to sum of Cost of wallet and Cost of groceries.
framing in equation form we get;

Dividing both side by 3 we get;

Cost paid for groceries = $13.15
Cost paid for wallet = 
Hence the Cost of wallet was $26.30.