Answer:
The Inequality Equation =
22 + 9x ≤ 58
The number of T -shirts Debbie can buy is at most 4 T-shirts
Step-by-step explanation:
Let the number of T shirts Debbie can buy be represented as x
We are told in the question: Debbie has at most $58 to spend on clothes.
This means she would not exceed $58. She would be spending less than or equal to $58
The Inequality Equation =
$22 + $9 × x ≤ $58
22 + 9x ≤ 58
Solving the Inequality Equation above:
22 + 9x ≤ 58
9x ≤ 58 - 22
9x ≤ 36
x ≤ 36/9
x ≤ 4 shirts
The number of T -shirts Debbie can buy is at most 4 T-shirts
Answer:
(3, - 1 )
Step-by-step explanation:
Assuming the dilatation is centred at the origin then multiply each coordinate by 
(6, - 2 ) → (6 × , - 2 × ) → (3, - 1 )
Answer:A repeating pattern of figures that completely covers a plane, without gaps or overlaps, is called a<u> tessellation</u>.
Step-by-step explanation:
- A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes are called tiles, without overlaps or gaps.
- They can be generalized to higher dimensions and a variety of geometries.
Therefore, A repeating pattern of figures that completely covers a plane, without gaps or overlaps, is called a<u> tessellation</u>.
Answer:
282°
Step-by-step explanation:
The measure of long arc KLM can be found by first determining the measure of short arc KM. That arc can be found using the inscribed angle theorem.
__
<h3>value of x</h3>
The inscribed angle theorem tells you the measure of arc KM is twice the measure of the inscribed angle KLM that subtends it. This relation can be used to find the value of x, hence the measure of the arc.
2∠KLM = arc KM
2(5x -1) = 8x +14
10x -2 = 8x +14 . . . . . . eliminate parentheses
2x = 16 . . . . . . . . . . add 2-8x
x = 8 . . . . . . . . . divide by 2
<h3>measure of arc KM</h3>
The expression for the measure of arc KM can be evaluated.
arc KM = 8x +14 = 8(8) +14 = 78°
<h3>
measure of arc KLM</h3>
The total of arcs of a circle is 360°, so the measure of long arc KLM will bring the total with arc KM to 360°:
arc KM +arc KLM = 360°
arc KLM = 360° -arc KM
arc KLM = 360° -78° = 282°
The measure are long arc KLM is 282°.
Answer:
34
8
Step-by-step explanation:
<u>1/2bc - 6ac + 2ab</u>
(1/2)(-1)(-3) - (6)(2)(-3) + (2)(2)(-1)
(1/2)(4) - (-36) + (-4)
2 + 36 - 4
34
<u>1/4(ac)² + 1/6ac</u>
(1/4)[(2)(-3)]² + (1/6)(2)(-3)
(1/4)(-6)² + (1/6)(-6)
(1/4)(36) + (-1)
9 - 1
8
