Answer:
2 1/4 inches
Step-by-step explanation:
First, subtract all of the margins from the width to get 4 1/2 inches. Then, divide this by two to get 2 1/4.
<span>1) y = -f(x) (This is the reflection about the x-axis of the graph y = f(x).) That is for every point (x, y) there is a point (x, -y).
</span><span>2) y = |f(x)| means that the entire graph will be above the x-axis. Why? (The absolute value is always positive, that's why!!)<span> To graph the absolute value graph, graph the function y = f(x). Anything above the x-axis, stays above it, anything below the x-axis is reflected above the x-axis and anything on the x-axis, stays on the x-axis.
</span></span><span>3) y = f(-x) (This is reflection about the y-axis of the graph y = f(x)) For every point on the right of the y-axis, there is a point equidistant to the left of the y-axis. That is for every point (x, y), there is a point (-x, y).
</span><span>4) Reflections about the line y = x is accomplished by interchanging the x and the y-values. Thus for y = f(x) the reflection about the line y = x is accomplished by x = f(y). Thus the reflection about the line y = x for y = x2 is the equation x = y2. </span>
Answer:
2.5 times
Step-by-step explanation:
To compare the two quantities, find a common denominator.
1/5 is 2/10 of sugar.
1/2 cup of flour is 5/10 of flour.
There is almost 3 times as much flour as sugar. 5/ 2 = 2.5. It is 2.5 times as much.
Length of DE = 3-(-1) = 4
SIDE DE is a vertical line
horizontal distance between E and F is 3 - (-2) = 5
So the area of triangle DEF = 0.5 * 4 * 5 = 10 sq units
<span> 8 - 4x=4 - 3(2x+6)
<=> 8 - 4x = 4 - 6x - 18
<=> 8 - 4 + 18 = 4x - 6x
<=> 22 = -2x
x = -11</span>
