7 x² + 7 y² - 28 x + 42 y - 35 = 0 /: 7
x² + y² - 4 x + 6 y - 5 = 0
( x² - 4 x + 4 ) + ( y² + 6 y + 9 ) - 4 - 9 - 5 = 0
The equation in the standard form is:
( x - 2 )² + ( y + 3 )² = 18
The center is at the point ( 2, - 3 ).
Its radius is: √18 = 3√2 units.
Answer:
x=-9
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−6(x+1)−18=26+4
(−6)(x)+(−6)(1)+−18=26+4(Distribute)
−6x+−6+−18=26+4
(−6x)+(−6+−18)=(26+4)(Combine Like Terms)
−6x+−24=30
−6x−24=30
Step 2: Add 24 to both sides.
−6x−24+24=30+24
−6x=54
Step 3: Divide both sides by -6.
−6x
−6
=
54
−6
x=−9
Answer:
x=−9
Answer:
30
Step-by-step explanation:
Split the trapezoid into parts, a rectangle and a triangle. The dimensions of the rectangle will be 3 and 8, so 3*8=24. 24 is part of the answer. The dimensions of the triangle are 4 and 3, and 4*3/2 is 6, so 6 is the other part of the answer. 24 + 6 = 30.
It should be the second option i’m positive
Multpiply first equation by 3 and second by 5 to clear nasty faractions
-13x-6y=21
15x+2y=25
now see which ones we can clear
we can clear y
multiply second equation by 3 and add to the first equation
-13x-6y=21
<u>45x+6y=75 +</u>
32x+0y=96
32x=96
divide both sides by 32
x=3
sub back
15x+2y=25
15(3)+2y=25
45+2y=25
minus 45 from both sides
2y=-20
divide both sides by 2
y=-10
x=3
y=-10
(3,-10)
