Answer:
Step-by-step explanation:
If it is, the first and last terms are perfect squares, and the middle term is twice the product of the roots of those squares.
16x^ = (4x)^2 . . . . a perfect square
49 = 7^2 . . . . . . . a perfect square
-2(4x)(7) = -56x . . . . . matches the middle term, so the factoring is ...
16x^2 -56x +49 = (4x -7)^2
_____
The sign in the binomial factors is the same as the sign of the middle term of the trinomial.
Say the width is W and the length is L
L=3W (and of course W=W)
Now you use the perimeter formula P=2L+2W
80=2(3W) + 2W)
80=6W+2W
80=8W Divide both sides by 8
W=10
Now that you know the width, substitute it back into L=3W to find the length
L=3(10)
L=30
The dimensions are length: 30 cm and width: 10 cm
Answer:
Domain: 1 ≤ x ≤ 4
Range : 1 ≤ f(x) ≤ 4
Step-by-step explanation:
The domain of a function f(x) is the limit within which the values of x varies.
Here, in the graph, it shows that the maximum value of x is 4 and the minimum value of x is 1.
Therefore, the domain of the function is 1 ≤ x ≤ 4
Again the range of a function f(x) is the limit within which the values of f(x) vary.
Here, the graph shows that the maximum value of f(x) is 4 and the minimum value of f(x) is 1.
Therefore, the range of the function f(x) is 1 ≤ f(x) ≤ 4. (Answer)
Answer:
- Point W = (-3, 3)
- Point X = (-3, 2)
- Point V = (-2, 3)
<em>The rotation rule states that rotation 90° counterclockwise means (x, y) = (-y, x)</em>
<u>The new points would be equal to:</u>
- Point W' = (-3, -3)
- Point X' = (-2, -3)
- Point V' = (-3, -2)
Try graphing it to see if the new points make sense<em>(because I'm not too sure :\)</em>
40 divided by 8 = 5
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