Hi,
Concept: The given problem is based on 3 Dimensional Geometry.
Consider three axes in defined space be x, y & z in their positive directions then - x , -y & -z be their negative axes.
The coordinate of given point A(x1, y1, z1) = (1, -3, 4)
If we take the reflection of point A about xz - plane x and z coordinates will remain same and y-coordinate will give its reflection. It means the value of y-coordinate will be changed which will be +ve 3.
Hence, the reflection of A(1, -3, 4) will be A'(x2, y2,z2= (1, 3, 4).
Answer:
Part A: The two factors are 6 and 4x. Part B: Question is confusing Part C: The coefficient of the variable is 4.
Step-by-step explanation:
Factors are what gets multiplied to give a product, therefore, 6 and 4x are the products as they are both being multiplied by 5. I don't understand what you are asking for part b. Part C, the coefficient is any number that is multiplied with the variable next to in. For example, in 16x, 16 is the coefficient and x is the variable. In 9y, 9 is the coefficient and y is the variable.
Answer:
Step-by-step explanation:
<h3>
Answer: 0.5</h3>
This is equivalent to the fraction 1/2
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Explanation:
The distance from A to B is 3 units. We can count out the spaces, or subtract the x coordinates of the two points and apply absolute value.
|A-B| = |-5-(-8)| = |-5+8| = |3| = 3
or
|B-A| = |-8-(-5)| = |-8+5| = |-3| = 3
We can say that segment AB is 3 units long.
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The distance from A' to B' is 1.5 units because...
|A'-B'| = |-2.5-(-4)| = |-2.5+4| = |1.5| = 1.5
or
|B'-A'| = |-4-(-2.5)| = |-4+2.5| = |-1.5| = 1.5
The absolute values ensure the distance is never negative.
We can say A'B' = 1.5
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Now divide the lengths of A'B' over AB to get the scale factor k
k = (A'B')/(AB)
k = (1.5)/(3)
k = 0.5
0.5 converts to the fraction 1/2.
The smaller rectangle A'B'C'D' has side lengths that are exactly 1/2 as long compared to the side lengths of ABCD.
1.) <span>the ratio of the note A to middle C = 440.0 / 261.6 = 1.6820 ≈ 1.6818
2.) </span><span>the ratio of the note D to middle C = 293.7 / 261.6 = 1.1227
3.) </span><span>D# = 293.6 x 1.0595 = 311.1
4.) </span><span>the ratio of the frequency of G to C is 1 : 262/392 = 1 : 0.6683 ≈ 3 : 2
5.) </span><span>the ratio of the frequency of E to C = 1 : 262/330 = 1 : 0.7939 ≈ 5 : 4
6.) The </span><span>component in a musical note is referred to as the pitch of a sound is the frequency.</span>
