What is the most reasonable estimate for the measure of the angle
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On a coordinate plane, a parabola opens down. It goes through (negative 4, 0), has a vertex at (negative 1. 75, 6.2), and goes through (1, 0).
On a coordinate plane, a parabola opens up. It goes through (negative 1, 0), has a vertex at (1. 75, negative 6.2), and goes through (4, 0).
On a coordinate plane, a parabola opens up. It goes through (negative 4, 0), has a vertex at (negative 1. 75, negative 6.2), and goes through (1, 0).
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Answer:
None of the above
Step-by-step explanation:
See the attachment for x-intercepts and vertex coordinates. These coordinates do not match any of the answer choices.
___
The closest choice is the last one. It has the direction of opening and the intercepts correct, but the vertex coordinates wrong.
We can write the graph of f(x) = (x - 1)(x + 4) as, "On a coordinate plane, a parabola opens up. It goes through (-4, 0), has a vertex at (-1.5, -6.25), and goes through (1, 0)."
What is a parabola?
A parabola is a plane curve created by a moving point whose distance from a stationary point equals its distance from a fixed-line.
How do we solve the given question?
In the question, we are given an equation of f(x) = (x - 1)(x + 4), and are asked to identify its graph.
The given equation is of a parabola in the intercept form f(x) = a(x - p)(x - q), which opens up if a > 0 and opens down if a < 0, and which has a vertex at the point , and passes through the point (p, 0) and (q, 0).
Comparing the equation f(x) = (x - 1)(x + 4) to f(x) = a(x - p)(x - q), we get
a = 1, p = 1, q = -4.
Since, a > 0 (a = 1), we can say that it opens up.
Now, we calculate (p + q)/2 = (1 - 4)/2 = -1.5
f((p + q)/2) = f(1.5) = (-1.5 - 1)(-1.5 + 4) = (-2.5)(2.5) = -6.25.
Thus, the vertex is at point (-1.5, -6.25).
Also, the equation passes through the points (-4, 0) and (1, 0).
∴ We can write the graph of f(x) = (x - 1)(x + 4) as, "On a coordinate plane, a parabola opens up. It goes through (-4, 0), has a vertex at (-1.5, -6.25), and goes through (1, 0)."
Learn more about a Parabola at
#SPJ2
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124 = 22 * 31
Take all the common prime factors, by the lowest powers.
gcf, gcd (112, 124) = 22 = 4
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Answer:
x = -3
Step-by-step explanation:
What you do is get x by itself.
1/4(8x - 4) = 5x + 8 Distribute 1/4 to 8x and -4.
2x - 1 = 5x + 8 Subtract 5x on both sides.
-3x -1 = 8 Add -1 to both sides.
-3x = 9 Divide -3 on both sides.
x = -3
Answer: - 3
Step-by-step explanation:
Expand the brackets
It will give: 2x - 1 = 5x + 8
Collect like terms: 2x - 5x = 1 + 8
- 3x = 9
Divide both sides by - 3
x = -3
to create AYHO.
rotated
reflected
translated
dilated
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Triangle MNO was dilated (increased) and then rotated to create triangle YHO.
Transformation
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, translation, reflection and dilation.
Dilation is the increase or decrease in the size of a figure to create an image.
Triangle MNO was dilated (increased) and then rotated to create triangle YHO.
Find out more on transformation at: brainly.com/question/1548871
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hope it helps