Answer: The area is 15 square units
Step-by-step explanation: It is helpful to sketch the coordinates on a graph to get an idea of what the triangle looks like so you can see which side will be the base, and where to get the height. You will see that AB is the hypotenuse, it is a right triangle, so AC can be the base and BC is the height.
Use the differences in x-values of points C & A to get the length of the base: 2-(-3) is 5
Use the differences in y-values of points B & C to get the height:
4-(-2) = 6
Area = bh/2
A = 5×6/2 = 30/2
A = 15 square unts
Answer:
Slope = 2, and y intercept = -5
Answer:
y = x^2 +6x +8
Step-by-step explanation:
The vertex is located at (-3, -1) and the graph rises 1 unit vertically for 1 unit away from the vertex. This means the scale factor is 1 and the vertex form equation can be written as ...
y = a(x -h)^2 +k . . . . . vertex form with scale factor a, vertex (h, k)
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y = (x -(-3))^3 +(-1) . . . fill in the values we know
y = (x +3)^2 -1 . . . . . simplify signs
y = x^2 +6x +9 -1 . . . eliminate parentheses
y = x^2 +6x +8 . . . . . your equation in standard form
$9,300
First, multiply your beginning amount by the percent of interest: 3,000x0.07 = 210
Then, multiply your interest times the number of years:
210x30 = 6,300
Add you interest to your initial amount:
3,000 + 6,300 = 9,300