Answer:
E' = (-4, 3) Answer C in your list of options
See attached image for the plot.
Step-by-step explanation:
Recall that a rotation in 180 degrees around the origin produces the following change in coordinates: (x, y) --> (-x, -y)
Therefore, since we read the coordinates of point E as: (-4, 3),
the new coordinates after the rotation will be: (4, -3) and the point will look like the red point in the attached image.
Answer:
The last equation x2 - 2x -4 = 0
has solution (x - 1)^2 - 5 = 0, x = 1 + root(5) or x = 1 - root(5)
Step-by-step explanation:
If a quadratic function has roots 1 and 5
f(x) = (x -1)(x- 5)
f(x) = x^2 - 6x + 5
Unless you meant. -4 and 6 ?
g(x) = (x + 4)(x - 6)
g(x) = x^2 -2x -24
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Or did you mean x = 1 and x =4 ?...
x^2 + 2x + 4 = 0 : complete square x^2 + 2x + 1 + 3 = 0, (x+1)^2 + 3 = 0
x^2 - 2x + 4 = 0 : complete square: (x -1)^2 + 3 = 0
0x^2 + 2x - 4 = 0, 2x - 4 = 0, x = 2
x^2 - 2x - 4 = 0 becomes: x^2 - 2x + 1 - 1 -4 = 0 ; (x - 1)^2 - 5 = 0
Answer:
<h2>B) x = 1 and 5</h2>
Step-by-step explanation:
x-intercept: the intersection point of the graph with the x axis.
Therefore, the x-intercepts are x = 1 and x = 5 (<em>look at the picture)</em>.
Answer:
the answer is c
Step-by-step explanation:
Answer:
<em>The food chain showing seven organisms can be drawn as follows:
</em>
<em>
</em>
<em>Plants → grasshoppers → mice → frog → snakes→ eagles → decomposers
</em>
<em>
</em>
<em>The plants are the primary source of food in a food chain or a food web. The animals which feed on plants will be termed as herbivores or primary consumers like the grasshopper. The organisms feeding on primary consumers will be the secondary consumers like mice.
</em>
<em>
</em>
<em>An energy pyramid for three of the organisms can be shown as follows:
</em>
<em>
</em>
<em> mice (10 kilocalories)
</em>
<em>
</em>
<em> ↑
</em>
<em>
</em>
<em> Grasshoppers (100 kilocalories)
</em>
<em>
</em>
<em> ↑
</em>
<em>
</em>
<em> Plants ( 1000 kilocalories)
</em>
<em>
</em>
<em>As the energy pyramid shows, only about 10% of the energy travels from one trophic level to another.</em>
