Answer:
27 inches from each side to be centered
Step-by-step explanation:
Answer:
Shift "h" units to the right, "k" units up, and reflect over the x or y axis when needed.
Step-by-step explanation:
1) I want to talk about reflections first.
- Reflections across the x-axis -->
, a is the coefficient. if a is negative, then the equation should be reflected across the x-axis. This is known as a vertical reflection. - Reflections across the y-axis -->
, b is the coefficient. If b is negative, then reflect the equation over the y-axis. There are cases where the reflection across the y-axis does not change anything. But, let's say its
... the reflection across the y-axis is different (that equation is:
)
2) Rigid transformations
- Horizontal transformations (to the left or right):
, factor out b from "bx-h" and whatever h equals is the units to the right. If h is a negative number, then you move to the left. - Vertical transformations (up and down):
... k is just the units up... if k is negative then we move it down.
Example (check image for visual)
We transform
to
, you move right 3, then reflect across the x-axis, then reflect across y-axis, then move 3 up.
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Note: In the image, the red line is the original function, the blue one is the transformed function. See if you can follow along with the verbal instructions I gave above.
9514 1404 393
Answer:
Step-by-step explanation:
In order to solve this, we need to assume that the angles involving x are supplementary, and the angles involving y are complementary.
(7x -8) +(13x -32) = 180
20x -40 = 180 . . . . . . . . . collect terms
20x = 220 . . . . . . . . . add 40
x = 11 . . . . . . . . . . divide by 20
__
(10y +22) +(7y) = 90
17y = 68 . . . . . . . . . . . . collect terms, subtract 22
y = 4 . . . . . . . . . . divide by 17
Answer:
s = 6 inches
Step-by-step explanation:
Given:
r = 53 inches,
∠S = 6°
∠T = 58°.
Required:
Length of s
Solution:
Use Sine Rule
Thus:

<R = 180 - (58 + 6)
<R = 116°
r = 53 inches,
∠S = 6°
s = ?
Plug in the values

Multiply both sides by Sin(6)


(nearest inch)
Answer:
The value of AD=1 and DC=3
Step-by-step explanation:
Given: ΔABC, D∈ AC m∠ABC=m∠BDA, AB=2, AC=4
Diagram: Please find attachment.
To find: AD=? and DC=?
Calculation:
In ΔABC and ΔADB
∠ABC=∠ADB (Given)
∠A=∠A (Common)
Therefore, ΔABC ≈ ΔADB by AA similarity
If two triangles are similar then ratio their corresponding sides are equal
Therefore,

where, AD=?, AB=2, AC=4


AD=1
AD+DC=AC
1+DC=4
DC=4-1
DC=3
Hence, The value of AD=1 and DC=3