Answer:
square root function; y = -√(x + 2) - 1
Step-by-step explanation:
the graph shown is a square root function
the parent of a square root function is y = √x
you transform this equation using y = a√(x - h) + k
it is reflected across the x axis so you put the negative before the a
since there is no dilation the a is blank
y = -√(x - h) + k
the h is the horizontal shift
it went 2 to the left so that is -2
that makes it y = -√(x - -2) + k
which is also y = -√(x + 2) + k
the k is the vertical shift
it went 1 down
that makes it y = -√(x + 2) - 1
that is your equation
Answer:
y = 1/2x -1
Step-by-step explanation:
The slope of AB is ...
(y2 -y1)/(x2 -x1) = (1 -7)/(4 -1) = -6/3 = -2
Segment BC will be perpendicular to AB, so will have a slope that is the negative reciprocal of this:
slope of BC = -1/(-2) = 1/2
The line containing BC must go through point B, so we can use a point-slope form of the equation for a line:
y = m(x -h) +k . . . . for a line with slope m through point (h, k)
Point B is (4, 1) and our slope is 1/2, so the line's equation can be written ...
y = (1/2)(x -4) +1
y = 1/2x -2 +1 . . . . eliminate parentheses
y = 1/2x -1 . . . . . . . collect terms. This is the equation.
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The attachment shows segment AB and a perpendicular line through B. You will note that it has y-intercept -1 and slope 1/2, as above.
3.14 * 4 = 12.56 ( area of poster)
16 (area of square) - 12.56 = 3.44 (remaining area)
Answer: x = 12 degrees.
Step-by-step explanation:
The triangle ABC is a right triangle, which means that it has a right angle of 90 degrees.
This is represented by the small square on the bottom-left corner of the triangle.
The angle DBC is 78 degrees. There is also the angle of ABD, which is represented by X.
The right angle is equivalent to 78 degrees and x. You can represent this in an equation, where the sum of 78 degrees and x = 90 degrees, the right angle:
78 + x = 90
x = 12
