What is the area of the triangle whose vertices are d(−7, 3) , e(−7, 9) , and f(−11, 7) ? enter your answer in the box.

ANSWER

The area of triangle DEF is square units.

EXPLANATION

The area of triangle DEF can be found using the formula,

.

From the diagram, we can see that the height of the triangle is bounded between and .

We use the absolute value method to find the height to be,

.

The base of the triangle is |DE|.

We can again use the absolute value method to to determine the length of the base to be,

We now calculate the area to obtain,

Therefore the area of the triangle 12 square units

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.