Answer:
x=-2
Step-by-step explanation:
For the 1st fraction, since 14 × 1 = 14,
9
14
=
9 × 1
14 × 1
=
9
14
Likewise, for the 2nd fraction, since 7 × 2 = 14,
6
7
=
6 × 2
7 × 2
=
12
14
Since the denominators are now the same, the fraction with the bigger numerator is the greater fraction
9
14
<
12
14
or
9
14
<
6
7
Answer:
centre = (-5, -4)
radius = 7.42
Step-by-step explanation:
The general form for center-radius is
(x - h)² + (y - k)²= r²
Center = (h, k)
Radius = r
Rearrange the equation.
(x² + 10x) + (y² + 8y) - 14 = 0
Add 14 on both sides.
(x² + 10x) + (y² + 8y) = 14
(10/2)² = 25
(8/2)² = 16
Add 25 and 16 to both sides.
(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16
Factor left side of the equation.
(x+5)² + (x+4)² = 55
(55) = (7.416198)²
(x+5)² + (x+4)² = 7.42²
The radius is 7.42.
The centre is at (-5, -4).
Here is a picture of the graphed function.
The grey dots are, from left to right:
(-3,0)
(-1,-4)
(0,-3)
(1,0)
Yes correct because it manipulated the question and it got 78
