You have to use y=mx+b
so you plug it in 4=6(3)+b
subtract 18 from both sides
-14=b
b is the y-intercept so it would be .... y=6x-14
you plug 27 in for x
y=6(27)-14
y=148
The correct answer is B)x =
.
In order to find this, we need for follow the order of operations.
y - p = m(x - q) ----> Divide both sides by m
= x - q ----> add q to both sides
= x ---> now we need to give it a common denominator. Multiply the q term by m/m
= x
This is our final answer.
The function g(x) is created by applying an <em>horizontal</em> translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)
<h3>How to determine the characteristics of rigid transformations by comparing two functions</h3>
In this problem we have two functions related to each other because of the existence of <em>rigid</em> transformations. <em>Rigid</em> transformations are transformations applied to <em>geometric</em> loci such that <em>Euclidean</em> distance is conserved at every point of the <em>geometric</em> locus.
Let be f(x) = - 2 · cos (x - 1) + 3, then we use the concept of <em>horizontal</em> translation 4 units in the + x direction:
f'(x) = - 2 · cos (x - 1 + 4) + 3
f'(x) = - 2 · cos (x + 3) + 3 (1)
Now we apply a reflection over the x-axis:
g(x) = - [- 2 · cos (x + 3) + 3]
g(x) = 2 · cos (x + 3) - 3
Therefore, the function g(x) is created by applying an <em>horizontal</em> translation 4 units left and a reflection over the x-axis. (Correct choices: Third option, fifth option)
To learn more on rigid transformations: brainly.com/question/1761538
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Answer:
the answer is 3/8
Step-by-step explanation:
multiply 9/10 by 5/12 then you get the answer 3/8
Radius would be 19.9151730644