Will give brainliest to whoever answers first and is right What is the solution of V. x2+49 = x+5?
O X=
=
x=1
0 x 12
O x=-6 or x=-3
no solution

12/5

Step-by-step explanation:

sqrt( x^2+49) = x+5

Square each side

(sqrt( x^2+49))^2 = (x+5)^2

x^2+49 = (x+5)(x+5)

Foil the right side

x^2+49 = x^2 +5x+5x+25

Combine like terms

x^2+49 = x^2 +10x +25

Subtract x^2 from each side

49 = 10x+25

Subtract 25 from each side

49 -25 = 10x

24 = 10x

Divide by 10

24/10 = 10x/10

12/5 =x

Check since we squared, we need to check for extraneous solutions

sqrt( (12/5)^2+49) = 12/5+5

sqrt(144/25 +1225/25) = 12/5+25/5

sqrt(1369/25) = 37/5

3. parallelogram

step-by-step explanation:

we turn each of our sides into direction vectors

ab=b-a=(3 - 7, 1 - 0) = (-4, 1)

bc=c-b=(1,6)

cd=d-c=(4,-1)

da=a-d=(-1,-6)

we see how the opposite sides have negated direction vectors; this is characteristic of a parallelogram.   we have congruent sides ab=cd and bc=da with unequal lengths because 1^2+6^2 is different from (-4)^2+1^2.   so it's not a square or a rhombus.  

we check the dot product of direction vectors of adjacent sides.   we have

ab dot bc = -4(1) + 1(6) = 2

that's not zero so the sides are not perpendicular.   we've ruled out rectangle.

the direction vectors indicate two pairs of congruent parallel sides, so we choose parallelogram over trapezoid.

answer: the equation matches the regression

step-by-step explanation: