Use this for the following questions. During their last game, the Miami Dolphins scored 6 times for a total score of 30 points. They scored 7 points for each touchdown and 3 points for each field goal.

Write a system of equations for the situation.

Hint: use x for the number of touchdowns and y for the number of field goals.

Equation 1:

Equation 2:

What is the solution to the system you wrote in question 1?

Solution:

answer: 1 + 1 = 11

step-by-step explanation:

noncoplanar points are points that do not lie on the same line.

answer: (-8,4) are the coordinates of a

step-by-step explanation:

let the side of square abcd is x .

thus the area of square abcd is .

now, by the diagram area of triangle ead= 1/2 × ea × ad = 1/2 × ea × x

( because ad is the side of square)

and, according to the question,

the areas of square abcd and right ead are equal.

⇒

⇒ea=2x

thus, ea: ab=2: 1

therefore, point a divides line segment eb into the ratio 2: 1.

⇒ by sectional formula coordinates of a are,

=

=

=(-8, 4)

thus the coordinates of a are (-8,4)