Answer:
D) a 360° clockwise rotation about the center of the parallelogram will take the parallelogram <em>PQRS </em> onto itself.
Step-by-step explanation:
The parallelogram <em>PQRS </em>is in quadrant III (3) of the coordinate plane. If the image is reflected over the line x = -5 or y = -5, it would be the mirror image of itself and would move either left (x = -5) or down (y = -5) over the lines. A 180° rotation about the center of the parallelogram would move the object to quadrant I (1). However, a 360° clockwise rotation about the center of the parallelogram would cause the object to make a full circle and take the parallelogram <em>PQRS </em> onto itself.
Answer:The answer would be inclusive.
sorry it took me a while. Hope this helps!
Answer:
9.2 seconds.
Step-by-step explanation:
We have been given an equation that represents dive of a bird as
, where x represents the time the dive lasted in seconds and y represents the height of the bird in meters.
We can see that our given equation is a parabola. The leading coefficient is positive, so our parabola will be an upward opening parabola.
Upon graphing our given equation, we will get our required graph as shown in the attachment.
As x represents the time the dive lasted in seconds and y represents the height of the bird in meters, so the bird will be at the surface when the graph will cross x-axis.
We can see that graph crosses x-axis at
.
Upon rounding to nearest tenth, we will get:
.
At
the bird dives in water and goes down the water surface and at
the bird comes to the surface, therefore, the bird will be at surface after 9.2 seconds.
Answer:
x = -5/6, +4/3
Step-by-step explanation:
You want to look for two factors of 18·(-20) = -360 that have a sum of -9. They are -24 and +15. These let you rewrite the middle term as two terms:
y = 18x^2 -24x +15x -20
Now, you can factor by grouping the terms 2 at a time.
y = 6x(3x -4) +5(3x -4)
y = (6x +5)(3x -4)
These factors are zero when y = 0, so the zeros are ...
x = -5/6 and x = 4/3
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Sometimes when I'm really stumped with roots of polynomials, I use a graphing calculator to find them.
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Factors of -360 are ...
-360 = -360·1 = -180·2 = -120·3 = -90·4 = -72·5 = -60·6 = -45·8 = -40·9 = -36·10 = -30·12 = -24·15 = -20·18