Which of the following coordinate points is the point of intersection of these two lines? y - 6x = -4 y - 2x = 8

For this case we have a system of two equations with two variables:

Rewriting the system we have:

Equaling the equations we have:

Subtracting 2x from both sides of the equation we have:

Adding 4 to both sides of the equation we have:

Dividing by 4 on both sides of the equation we have:

We find the value of the variable y:

Thus, the system solution is:

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

d. 145*2 is 290 than the total angle is 360 then minus 290 then divide by two