Answer:
51
Step-by-step explanation:
area of the triangle= 1/2 (6-3)(13-7)
=1/2 (3)(6)
=9
area of rectangle= 6×7
= 42
therefore, area of shape = 42+9
=51
Answer:
$ 900
Step-by-step explanation:
Simple interest = Principle * Time * Rate / 100
Now by substituting :
27 = Principle * 2 * 1.5 / 100
Principle = 27 * 100 / 2 * 1.5
Principle = 2700 / 3
So Principle = $ 900
Hope it helps
Answer:
4/5 mile
Step-by-step explanation:
14/15 - 2/15 = 12/15 or 4/5
Answer:

Step-by-step explanation:
Hi there!

Solve -2^2:

Divide both sides by -4:

Subtract 10 from both sides:

Divide both sides by -5:

Therefore, x = 7.
I hope this helps!
Answer:
Part A) The graph in the attached figure
Part B) see the explanation
Step-by-step explanation:
Part A) Graph the function
we have the quadratic function

This is a vertical parabola open upward
The vertex is a minimum
using a graphing tool
The graph in the attached figure
Part B) What are the values of a, b and c?
we know that
The values of a and b represent the x-intercepts of the quadratic equation
The x-intercepts are
(-2,0) and (6,0)
so

Find the value of c
we know that
The x-coordinate of the vertex in a vertical parabola is equal to the midpoint of the roots
so
The value of c is equal to

substitute the given values

see the attached figure