The vertex of the graph of y = (x - 1)2 - 5 is (1,-5)
Answer:options B and D are the correct answers.
Step-by-step explanation:
The cost for an upcoming field trip is $30 per student. The cost of the field trip C, in dollars, is a function of the number of students x.
The function is defined by
C(x) = 30x
The values of x must be whole numbers. Therefore, the possible outputs for the defined function would be
B. 30 which means the cost for only one student.
D. 90 which means the total cost for 3 students.
<span>7.25 = 7 and 25/100 = 7 and 1/4</span>
Answer:
Triangle 1: x = 80 degrees, acute
Triangle 2: x = 10 degrees, right
Step-by-step explanation:
Triangle 1:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation:

Solve for x:

So, x = 80 degrees
Because all the angles are less than 90 degrees, this is an acute triangle.
Triangle 2:
By the Sum of Interior Angles Theorem, all the angles inside the triangle adds up to 180 degrees. So, set up this equation (with the right angle given):

Solve for x:

So, x = 10 degrees
Because there is an angle measuring 90 degrees, this is a right triangle.
Answer:
Distance = 8.06
Step-by-step explanation:
We have to use the distance formula
.
coordinates of the first point
coordinates of the second point
To solve, plug the appropriate values into the formula.