Answer:
Distance between the points A and B is 15.52 units.
Step-by-step explanation:
It has been given in the question that an airplane flies along a straight line from City A to City B.
Map has been laid out in the (x, y) coordinate plane and the coordinates of these cities are A(20, 14) and B(5, 10).
Distance between two points A'(x, y) and B'(x', y') is represented by the formula,
d = 
So we plug in the values of (x, y) and (x', y') in the formula,
d = 
d = 
d = 
d = 15.52
Therefore, distance between the points A and B is 15.52 units.
Answer:
Represents
Step-by-step explanation:
Going over the basic definition of polynomial, an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division, we can see that the expression is indeed a polynomial.
Answer:
T = 0.29p
Step-by-step explanation:
From the table Given :
We can obtain the uint cost per pound of wood :
Cost of 12 pounds of wood = $3.48
Cost per pound = Cost / weight
Cost per pound = $3.48 / 12 = $0.29
Hence, the proportional relationship cost, T in dollars and p pounds of wood is ;
Cost = unit cost per pound * number of pounds
T = 0.29 * p
T = 0.29p
Answer:
e = 5/3
Step-by-step explanation:
3(2e+8) = 34
Distribute
6e +24 = 34
Subtract 24 from each side
6e +24-24 = 34-24
6e = 10
Divide each side by 6
6e/6 = 10/6
e = 10/6
Divide the top and bottom by 2
e = 5/3
Answer:
This is an example of equation with two unknowns. Andre bought x pounds of zucchini and y pounds of broccoli and we also know that there was 10 pounds of veggies in total. So, we can write:
$1.5 • x + $2 • y = $17
x + y = 10
From the second equation we can say that:
y = 10 - x
We can now enter this value of y into the first equation:
1.5 • x + 2 • (10-x) = 17
1.5 • x + 20 - 2 • x = 17
1.5x - 2x = 17 - 20
-0.5x = -3
0.5x = 3
x = 6
If x=6, then y=10-6, which is 4.
That means that Andre bought 6 pounds of zucchini and 4 pounds of broccoli.
