Answer:
(5,-1)
Step-by-step explanation:
rotate the point
The lengths of the three line segments after dilation is 
, 
and 
Explanation:
Given that the length of three line segments are PQ = 2 cm, AB = 1.5 cm and MN = 3 cm
Also, given that the dilation with a scale factor of 2 is applied to the three line segments.
We need to determine the length of line segments P'Q', A'B' and M'N'
Dilation means the transformation of the same shape with different size.
Since, it is given that the dilation with a scale factor of 2, we shall multiply each of the line segments with 2.
Thus, we have,
Thus, the lengths of the three line segments after dilation is , and
Answer:
The area of the remaining board is [(L × B) - (l × b)].
Step-by-step explanation:
Suppose the bigger rectangle is labelled as ABCD and the smaller rectangle is labelled as PQRS.
Consider that the length and breadth of the bigger rectangle are L and B respectively. And the length and breadth of the bigger rectangle are l and b respectively.
The area of any rectangle is:
Area = Length × Breadth
The area of the bigger rectangle is:
Area of ABCD = L × B
The area of the smaller rectangle is:
Area of PQRS = l × b
Then the area of the remaining board will be:
Area of remaining board = Area of ABCD - Area of PQRS
= (L × B) - (l × b)
Thus, the area of the remaining board is [(L × B) - (l × b)].
Helloo
Use the quadratic formula to find the solutions.<span><span><span>−b±<span>√<span><span>b2</span>−4<span>(ac)</span></span></span></span><span>2a</span></span><span><span>-b±<span><span>b2</span>-4<span>(ac)</span></span></span><span>2a</span></span></span>Substitute the values <span><span>a=−1</span><span>a=-1</span></span>, <span><span>b=0</span><span>b=0</span></span>, and <span><span>c=50</span><span>c=50</span></span> into the quadratic formula and solve for <span>xx</span>.<span><span><span>0±<span>√<span><span>02</span>−4⋅<span>(−1⋅50)</span></span></span></span><span>2⋅−1</span></span><span><span>0±<span><span>02</span>-4⋅<span>(-1⋅50)</span></span></span><span>2⋅-1</span></span></span>Simplify.<span><span>x=±5<span>√2</span></span><span>x=±52</span></span>The result can be shown in both exact and approximate form.<span><span>x=±5<span>√2</span></span><span>x=±52</span></span><span>x≈7.07106781,−<span>7.07106781
Have a nice day</span></span>
Answer:
20% off of $2800 = $2240
8.25% of $2240 = $184.80
$2240 + $184.80 = $2424.80
Step-by-step explanation:
