The number which could be added to both sides of the equation to complete the square is; -2.25.
<h3>Which number could be added to both sides of this quadratic equation to complete the square?</h3>
The quadratic equations give in the task content is; 1=x²-3x. Hence, to express the equation by completing the square method; we have;
1 - 2.25 = (x -3/2)² - 2.25
Hence, the number which should be added to both sides of the equation is; -2.25.
Read more on completing the square;
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The hardest part is finding the length of the curve at the top. To find arc length, multiply the circumference by the arc angle divided by full angle (360°) in a circle. Or:
x, the arc angle in a semicircle, is 180°.
r, the radius is 7/2 = 3.5.
Now just plug the numbers in and solve for arc length, s.
s = 2π(3.5)(1/2) ≈ 11.00
Now just add up all the sides. 11cm + 10cm + 10cm + 7cm = 38 cm.
To find what 86% of 40 is, first convert 86% to a decimal, then multiply that decimal by 40.
86% = 0.86
0.86 • 40 = 34.4
So 86% of 40 is 34.4.
The transformation of A is A' = (8, -3)
<h3>How to determine the transformation?</h3>
From the graph, we have:
A = (3,1)
The scale factor and the center of dilation are given as:
k = 2
(a,b) = (-2,1)
The rule of reflection across the axis is:
(x,y) ⇒ (x,-y)
So, we have:
A' = (3,-1)
The rule of dilation is represented as:
(x,y) ⇒ (k(x - a) + a, k(y - b) + b)
So, we have:
A' = (2(3 + 2) - 2, 2(-1 - 1) + 1)
Evaluate
A' = (8, -3)
Hence, the transformation of A is A' = (8, -3)
Read more about transformation at:
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Answer:
For the first one, you go from -4 on the number line and move 2 spaces to the right to get -2. For the second one, you start at -4 again and then you move to the left 2 spaces since your subtracting.
Step-by-step explanation:
-viridiancat4, an 8th grader :)
