Answer:
D = 18 miles
Step-by-step explanation:
The coordinate of a library = (4,3)
The coordinate of the school = (-5,3)
We need to find the distance between the library and the school. We can use the distance formula i.e.

As the distance between each unit represents 2 miles. It means the distance is 2(9) = 18 miles
So, the correct option is (c).
Answer:
% error = 3.3%
Step-by-step explanation:
Percent Error Formula:
% error = ( (MeasuredValue - AcceptedValue) / AcceptedValue ) * 100
% error = ( (12.7 - 12.3) / 12.3 ) * 100
% error = (0.4/12.3) * 100
% error = (0.03252033) * 100
% error = 3.25203252
% error = 3.3%
Answer:
The pin number is 1147
Step-by-step explanation:
We have given that:
Maritza remembers her PIN because it is the product of two consecutive prime numbers that is between 1000 and 1500.
Pin number is between 1000 and 1500
PIN is the product of two consecutive prime numbers.
Prime numbers are those numbers which are divisible by one or itself only.
So,
prime numbers are 1, 3, 5, 7,………29, 31,37, 41, …..
Multiply 29 x 31 = 899 which does not come in the range of 1000 and 1500.
Next,
31 x 37 = 1147 this is between 1000 and 1500
Next
37 x 41 = 1517, which is above 1500.
Thus the pin number is 1147....
Ok so first you would create a proportion.
8/x=4/1. Next you cross multiply and divide,
1 • 8÷4=x. Ratios are fractions with the first number being the numerator and the second being the denominator. If you think of it this way, you just find an equivalent fraction. Your answer would be 8:2 because in your proportion x=2.
Answer:
f(7) = -113
Step-by-step explanation:
Hello!
Substitute 7 for x in the equation.
<h3>Evaluate</h3>
- f(x) = -4x² + 10x + 13
- f(7) = -4(7)² + 10(7) + 13
- f(7) = -4(49) + 70 + 13
- f(7) = -196 + 70 + 13
- f(7) = -113
f(7) is -113.