Answer:
x=1+2√2 or x=1−2√2
Step-by-step explanation:
Let's solve your equation step-by-step.
3x2−6x=21
Step 1: Since the coefficient of 3x^2 is 3, divide both sides by 3.
3x2−6x
3
=
21
3
x2−2x=7
Step 2: The coefficient of -2x is -2. Let b=-2.
Then we need to add (b/2)^2=1 to both sides to complete the square.
Add 1 to both sides.
x2−2x+1=7+1
x2−2x+1=8
Step 3: Factor left side.
(x−1)2=8
Step 4: Take square root.
x−1=±√8
Step 5: Add 1 to both sides.
x−1+1=1±√8
x=1±√8
x=1+2√2 or x=1−2√2
Answer:
SAS
Step-by-step explanation:
SAS Postulate: "If two sets of corresponding sides on two triangles and there included angle are congruent, then the triangles are similar".
We see that line segments XY-ST and XZ-SR are congruent along with the included angles X and S. Therefore, we can justify that SAS fits the situation.
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Answer:
true
Step-by-step explanation:
Find the mean of the following data set: 40, 58, 37, 23, 66, 42, 35, 37, 51, 42, 56, 37, 61, 52.
svet-max [94.6K]
Answer:
45.5
Step-by-step explanation:
To find the mean is to find the average number of the data set.
In order to do this you add up all of the numbers, then divide it by the value how many numbers are in the set.
40+58+37+23+66+42+35+37+51+42+56+37+61+52= 637/14=45.5
Just drop out1111111111111111111
