Select the correct answer. Solve for x. (x - 4)(x - 4) = 0 A. -16 B. -4 C. 4 D. 16
2 answers:
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Answer:
105 cm²
Step-by-step explanation:
The figure is composed of a rectangle and a triangle
area of rectangle = 15 × 6 = 90 cm²
area of triangle = bh ( b is the base and h the height )
Here b = 15 - 9 = 6 and h = 11 - 6 = 5 , thus
area of triangle = × 6 × 5 = 3 × 5 = 15 cm²
Total area = 90 + 15 = 105 cm²
Answer:
1. Not possible. The slope of such a line is undefined. Its equation is x=7.
2. y = 3x -2
3. The slope is undefined. (The line is a vertical line.)
Step-by-step explanation:
1. The y-axis is a vertical line. Computing the slope of such a line involves division by zero, an operation that is undefined. Since the line is parallel to the y-axis, there is no y-intercept.
In slope-intercept form, the equation would be useless:
... y = (undefined)x + (no such value)
If your point is supposed to be (7, 8)*, the more useful equation is the "standard form" equation:
... x = 7
2. The slope of the perpendicular line is the negative reciprocal of this:
... m = -1/(-1/3) = 3
In point-slope form, the equation of the perpendicular line through the given point is ...
... y = 3(x -2) +4
... y = 3x -2 . . . . . . . . simplified to slope-intercept form
3. The slope is computed from ...
... m = (change in y)/(change in x) = (-3 -4)/(-1 -(-1)) = -7/0 = undefined
The slope is undefined. This tells you the line is a vertical line. Its location is the x-value of the points, ...
... x = -1
_____
* If your point is really (77, 88), then the line has equation x = 77.
Answer:
The vertex of the quadratic function is:
Step-by-step explanation:
Given the function
As the vertex of the form is defined as:
As the quadratic function of parabola params are
so
Putting to determine
Therefore, the vertex of the quadratic function is: