Answer:
x = 3i
Step-by-step explanation:
(x+5)² - 4 = 12
simplify (x+5)²
x × x + 5 × 5 - 4 = 12
x² + 25 - 4 = 12
x² + 21 = 12
combine the like terms
x² = 12 - 21
x² = -9
square root both sides to solve for x
√x² = √-9
the square cancels the square root, so we have
x = √-9
x = 3i
Check the attachment(s) for the graphs pertaining to the question
No. 1) Check graph [first attachment]
No. 2) y = (x - 2)^2 - 3, y = 1
(x - 2)^2 - 3 = 1,
(x - 2)^2 = 4
x - 2 = √4, x - 2 = - √4
x = 4, x = 0
Substitute back to determine the respectively y-value:
y = (4 - 2)^2 - 3 = (2)^2 - 3 = 4 - 3 = 1
Check: y = (0 - 2)^2 - 3 = (-2)^2 - 3 = 4 - 3 = 1
So the points of intersection are (4, 1) and (0, 1). According to the graph, that is correct.
Answer:
1,020 seconds
Step-by-step explanation:
we know that
To find out how many seconds after Kristen gets home is her dinner ready, subtract the time Kristen gets home from the time Kristen's dinner is ready
so

Remember that

Convert minutes to seconds

Simple....
you have:
5x+2=4x-9
5x+2=4x-9
-4x -4x
x+2=-9
x+2=-9
-2 -2
x=-11
Thus, your answer.
The perimeter of the square is:
ft
Step-by-step explanation:
The picture is attached with the answer.
the diagonal of a square divides it into two right angled-triangles.
We can use one of the triangle to find the length of side as the diagonal will be the hypotenuse of the triangle
Let a be the side of the square, then according to Pythagoras theorem

Dividing both sides by 2

Taking Square root on both sides

Now,

Hence,
The perimeter of the square is:
ft
Keywords: Perimeter, Pythagoras Theorem
Learn more about Square at:
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