Answer:
x = 2±sqrt(11)
Step-by-step explanation:
x^2 -4x - 7 =0
Add 7 to each side
x^2 -4x -7+7 =0+7
x^2 -4x =7
To complete the square take the coefficient of the x term and divide by 2 and then square it. Add it to both sides
-4 /2 = -2 then square
(-2)^2 = 4
Add 4 to both sides
x^2 -4x+4 =7+4
x^2 -4x+4 = 11
Factor the left side into (x-b/2)^2
(x-2)^2 =11
Take the square root of each side
sqrt((x-2)^2) =±sqrt(11)
x-2 = ±sqrt(11)
Add to to each side
x-2+2 = 2±sqrt(11)
x = 2±sqrt(11)
Answer:
16.97056275
Step-by-step explanation:
12 squared + 12 squared = 288
square root of 288 = 16.97056275
Answer:
4 > −3
Step-by-step explanation:
To find a number to the right of -3, it must be bigger than -3
The open part of the inequality faces the bigger number.
4 is bigger than -3
4>-3
Do you know it in English because then i can help<span />
The length of XY, using the distance formula, is approximately: 11.7 units.
<h3>How to Apply the distance Formula to Find the Length of a Segment?</h3>
The distance formula given to find the distance between two points or the length of a segment, is given as:
.
We are given the coordinates of the endpoints of the line segment as follows:
X(-7, 10) and Y(3, 4).
Let (x1, y1) represent X(-7, 10)
Let (x2, y2) represent Y(3, 4)
Plug in the values of the coordinates of the endpoints into the distance formula:
XY = √[(3−(−7))² + (4−10)²]
XY = √[(10)² + (−6)²]
XY = √(100 + 36)
XY = √136
XY ≈ 11.7 units
Thus, the length of XY, using the distance formula, is approximately calculated as: 11.7 units.
Learn more about the distance formula on:
brainly.com/question/661229
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