Answer:
Reflected over the x-axis, vertically shrunk by a factor of 1/5, moved right 4 units and up 2 units.
Step-by-step explanation:
Parent Graph: f(x) = a(bx - h)² + k
<em>a </em>is vertical stretch (a > 1) or shrink (a < 1) and reflection over x-axis
<em>b</em> is horizontal stretch or shrink and reflection over y-axis
<em>h</em> is horizontal movement left (if positive) or right (if negative)
<em>k</em> is vertical movement up (if positive) or down (if negative)
Now that we have our rules, we simply apply it to y = -1/5(x - 4)² + 2
<em>a</em> = -1/5, so reflection over x-axis and vertical shrink of 1/5 (1/5 < 1)
Nothing has changed <em>b</em>, so no horizontal stretch/shrink
<em>h</em> = -4, so horizontal movement right 4 units
<em>k</em> = 2, so vertical movement up 2 units
1). 9/20. 2). -4/7. 3). 15/36. 4). 25/30. 5). 3/5x
Answer:
- Tamara needs to cover a total of <u>476</u> square feet.
- Tamara <u>will</u> have enough material to cover all four walls.
Step-by-step explanation:
If the room dimensions are 8 1/3 feet by 11 1/2 feet, the perimeter length is ...
P = 2(L+W) = 2(8 1/3 +11 1/2) = 2(19 5/6) = 39 2/3 feet
The area of the walls is the product of this perimeter length and the height of the wall. If that height is 12 feet, then the wall area is ...
A = PH = (39 2/3 ft)(12 ft) = 476 ft²
Tamara needs to cover a total of <u>476</u> square feet.
__
If Tamara orders 480 square feet of material, ...
Tamara <u>will</u> have enough to cover all four walls.
If x, then not y, if not y, then z. Y is true. So: X is true, Z is True
<h3>How to Interpret Conditional Statements?</h3>
A conditional statement is a type of structure to express the relationship between two dependent variables. Its structure is as follows:
If P, then Q...
Now, from the question we are told that;
If x, then not y, if not y, then z.
Y is true. So:
Now, when looking at conditional statements in depth, and comparing to this question we can easily see that since Y is true, then it means that if X is true, then Z is also true.
Thus,
If x, then not y, if not y, then z.
Y is true. So: X is true, Z is True
Read more about Conditional Statements at; brainly.com/question/11073037
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The answer is: [B]: " 45.5 degrees " .
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