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Veseljchak [2.6K]
3 years ago
13

Luca needs to solve the equation x2−2x+2=0 by completing the square. Which pair of steps is the most efficient way to begin?

Mathematics
2 answers:
Stels [109]3 years ago
7 0
X2-2x=-2
(x-1)^2+1=-2
(x-1)^2=-3
x-1=isqrt3
x=1(+/-)isqrt3
ez
Mumz [18]3 years ago
5 0

Answer:

^2−2=−2

^2−2+1=−2+1

(top right)

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State whether each of the following changes would make a confidence interval wider or narrower.​ (Assume that nothing else​ chan
Hatshy [7]

Answer:

Step-by-step explanation:

The formula for determining confidence interval is expressed as

Confidence interval

= mean ± z × s/ √n

Where

z is the value of the z score

s = standard deviation

n = sample size

a) The 95​% confidence level has a z value of 1.96

The 99​% confidence level has a z value of 2.58

Since 99​% confidence level z value is greater than 95​% confidence level z value, if we input it into the formula, it will result to a higher confidence interval. So changing from a 95​% confidence level to a 99​% confidence level would make a confidence interval wider.

b) The √15 is smaller than the √350. This means that if we make use of the formula, √350 will give a lower confidence interval than that of √15. Therefore, the confidence interval would be narrower changing from a sample size of 15 to a sample size of 350.

c) Applying the formula, a standard deviation of 15 pounds would result to a lower confidence interval than a standard deviation of 20 pounds. Therefore, the confidence interval would be wider changing from a standard deviation of 15 pounds to a standard deviation of 20 pounds.

3 0
3 years ago
Find the coordinates of the intersection of the diagonals of parallelogram qrst with vertices q(-8,1), r(2,1), s(4,-3), t(-6,-3)
TiliK225 [7]

Answer:

Point of intersection is (-2, -1).

Step-by-step explanation:

The diagonals bisect each other so we only need to find the midpoint  of one of the diagonals. We'll use the diagonal qs:-

Midpoint = (-8 + 4)/2, (1 + -3)/2

= (-2, -1)


3 0
4 years ago
In Jaden’s yard, there is a triangular garden patch. He wants to plant a geranium in the patch at a point equidistant from all i
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What are the missing numbers?
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Figure ABCD has vertices A(−4, 1), B(2, 1), C(2, −5), and D(−4, −3). What is the area of Figure ABCD?
Juliette [100K]
Check the picture below.

so, notice, the composite is just a 4x6 rectangle, and a triangle whose base is 6 and altitude is 2.  So, we can simply get the area of each figure and sum them up.

\bf \stackrel{\textit{area of rectangle}}{(4\cdot 6)}~~~~+~~~~\stackrel{\textit{area of triangle}}{\cfrac{1}{2}(6)(2)}

5 0
3 years ago
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