Answer:
+(1/3), assuming a corerection is made in the equation. (see below)
Step-by-step explanation:
The formaula provided is not a function. It simply states that f(x) = -(2/9) + (1/3). My response will assume that an "x" was intended after the -(2/9):
f(x) = -(2/9)<u>x</u>+1/3
A straight line have the form y = mx + b. IIt is comprised of the slope of the line, m (-2/9) and the y-intercept b (1/3). The y-intercept is the value of y when x is 0. That would be (1/3). Thus, (1/3) is the y-intercept.
The image of the point (0,5) after a rotation of 180° counterclockwise about the origin is (0, -5).
<h3>What is geometric transformation?</h3>
It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
The question is incomplete.
The complete question is:
What is the image of the point (0,5) after a rotation of 180° counterclockwise about the origin?
The rule for the above transformation:
(x, y) → (-x, -y)
(0, 5) → (0, -5)
Thus, the image of the point (0,5) after a rotation of 180° counterclockwise about the origin is (0, -5).
Learn more about the geometric transformation here:
brainly.com/question/16156895
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Answer:
aₙ = a₁ - 6* (n-1)
Step-by-step explanation:
a₁ = 13 = 13 - 6* (1-1)
a₂ = 7 = 13 - 6 * 1 = 13- 6*(2-1)
a₃ = 1 = 7 - 1 = 13 - 6 * 2 = 13 - 6 * (3-1)
........
aₙ = a₁ - 6* (n-1)
check: a₅ = 13 - 6*4 = -11
9514 1404 393
Answer:
x = 8
y = 4sqrt(3)
Step-by-step explanation:
Your knowledge of special triangles tells you the side ratios of a 30°-60°-90° right triangle are ...
1 : √3 : 2 = 4 : y : x
Multiplying the reduced ratios by 4 gives ...
4 : y : x = 4 : 4√3 : 8
That is, ...
x = 8
y = 4√3
