Answer:
x = 7 cm
Step-by-step explanation:
12x9 + 3x = 129
108 + 3x = 129
3x = 21
x = 7 cm
Area of a pyramid is ⅓ * area of Base * height
or ⅓ * 144 * 42 or 2016 cm³
First find the slope of the given line. 6x+4y=3. Isolate y. 4y=-6x+3, y=-3/2x+3/4.
The slope is -3/2. A perpendicular slope would equal the negative reciprocal of -3/2, which is 2/3.
The answer would be any line with a slope of 2/3 (ie y=2/3x-1).
To check, graph the given and derived equation.
The answer is 56.5 you take pie times the radius squared
Answer:
The answer is -1 or 9
The quadratic equation is ax² + bx + c = 0. But, by completing the square we turn it into: a(x + d)² + e = 0, where:
d = b/2a
e = c - b²/4a
Our quadratic equation is x² - 8x = 9, which is after rearrangement:
x² - 8x - 9 = 0
So, a = 1, b = -8, c = -9
Let's first calculate d and e:
d = b/2a = -8/(2 * 1) = -8/2 = -4
e = c - b²/4a = -9 - (-8)²/(4 * 1) = -9 - 64/4 = -9 - 16 = -25
By completing the square we have:
a(x + d)² + e = 0
1(x + (-4))² + (-25) = 0
(x - 4)² - 25 = 0
(x - 4)² = 25
⇒ x - 4 = √25
Since √25 can be either -5 or +5 , then:
x - 4 = -5 or x - 4 = 5
x = -5 + 4 or x = 5 + 4
x = -1 or x = 9
Step-by-step explanation:
