G(x) = 6x + 2....the slope here is 6. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal slope, we flip the original slope and change the sign. So our perpendicular line will have a slope of -1/6. (see how I flipped 6 (or 6/1) and made it 1/6, then I changed the sign and made it -1/6)
y = mx + b
slope(m) = -1/6
(42,0)....x = 42 and y = 0
now we sub and find b, the y int
0 = -1/6(42) + b
0 = -7 + b
7 = b
so ur perpendicular equation is : y = -1/6x + 7....or f(x) = -1/6x + 7
Answer:
142 degrees
Step-by-step explanation:
As 38 degree and angle 7 form a linear pair, they are supplementary
Let the measure of angle 7 be x
Hence, x+38=180
x=180-38
x=142 degrees
Let's convert the word descriptions into mathematical equations first for illustration.
f(x) = x^2 - x - 12
g(x) = -2.5x - 2
Then, we equate g(x) and f(x). The final equation becomes
x^2 - x - 12 = -2.5x - 2
Then, we simplify by transposing and combining like terms.
x^2 - x + 2.5x -12 + 2 = 0
x^2 + 1.5x - 10 = 0
Since this is a quadratic equation, we find the roots by using the quadratic formula
where a = 1, b = 1.5 and c=-10
Thus, the answer is x = 2.5, -4.
<span>Inscribed angles on a diameter are right angles; the radius of a circle is perpendicular to the tangent where the radius intersects the circle.</span>
Answer:
its the first table
Step-by-step explanation:
