3(-6+2)
3(-4)
12
;( the correct
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).
The measure of the three missing angles in the given rhombus are:
x = 122°
z = 58°
y = 122°
<h3>What is a Rhombus?</h3>
A rhombus is a quadrilateral with four interior angles. In a rhombus, the opposite angles are congruent while the adjacent angles are supplementary to each other.
x and 58° are adjacent angles and are therefore supplementary.
x = 180 - 58 = 122°
z = 58° (opposite angles)
y = x = 122° (opposite angles)
Learn more about a rhombus on:
brainly.com/question/20627264
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Answer:
We know that, a³ - b³ = (a - b)(a² + ab + b²)
Now,
- x³ - 27
- (x)³ - (3)³
- (x - 3)(x² + 3x + 9)
Therefore,
- <u>(x² + 3x + 9)</u> is the other factor.
Answer: $126.00, the difference is 54.00
Step-by-step explanation: