Answer: 33 square units
Step-by-step explanation:
Given: Sides lengths of the triangle : 16 units, 10 units, 8 units.
Heron's formula:-
, where s is the semiperter and a,b and c are the side-lengths of the triangle.
Let a=16 , b=10 and c=8
Then,

Using Heron's formula:-

Answer: 9
Step-by-step explanation: In this problem, we're going to evaluate a² + b knowing that <em>a</em> = -2 and <em>b</em> = 5.
So the first thing we want to do is substitute these numbers into our problem.
Since <em>a</em> = -2, we will replace <em>a</em> with a -2 and as we do that, we will put that -2 in parentheses and square it since we have a². Squaring a number just means multiplying a number by itself so (-2)² is equal to 4 since a negative multiplied by a negative gives us a positive.
Now we will replace <em>b</em> with 5 and now we have the following.
4 + 5 simplifies to 9.
Answer:
The y-intercept moves 13 spaces lower
Step-by-step explanation:
Answer:
D.3
Step-by-step explanation:
We are going to use the Slope Formula --> (y2-y1)/(x2-x1)
(9-3)/(3-1)=6/2=3
The linear equation used to solve the problem is t = 2 + 1.29a and total cost to download 30 songs is $ 40.7
<em><u>Solution:</u></em>
Given that music app charges $2 to download the app plus $1.29 per song downloaded
To find: write and solve a linear equation to find the total cost to download 30 songs
Let us first write a expression for total cost
Let "a" be the number of songs downloaded
So we can frame a equation as:
total cost = initial charge + cost of 1 song download x number of songs downloaded

total cost = 2 + 1.29a
If "t" represents the total cost, then the linear equation is:
t = 2 + 1.29a
<em><u>finding the total cost to download 30 songs:</u></em>
Here a = 30
Substitute a = 30 in above formula
total cost = 2 + 1.29(30)
total cost = 2 + 38.7
total cost = 40.7
Thus total cost to download 30 songs is $ 40.7