The intersecting secants theorem says
That is, for either secant line, you take the length of the part of the secant line outside the circle (6 and 5 in this case) and multiply it by the "total" length of the secant line between the point where the two secant lines intersect and the furthest point where the secant touches the circle (6+12=18 and 5+x in this case). The theorem says these products are equal.
Then
first simplify the inequalities:
3x+2>2 --> x>0 that corresponds to an open circle at 0 and shading to the right
3x <= 6 --> x<=2 that is a closed circle at 2 and shading to the left
together they have shading between [email protected] and closed @2 so the
Answer (D) is correct
Answer:
- reflection over the y-axis;
- dilation with a scale factor of 0.4;
- translation 8 units left and 8 units up
Step-by-step explanation:
<h3>Reflection</h3>
The first transformation changes the sign of the x-coordinate. That means a point that was some number of units (3, for example) <em>right</em> of the y-axis will be transformed to a point 3 untis <em>left</em> of the y-axis. It is reflected across the y-axis.
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<h3>Dilation</h3>
The second transformation multiplies each coordinate value by 0.4. A point that was some number of units (3, for example) away from the origin, will be transformed to a point 3×0.4 = 1.2 units from the origin. It is dilated by a factor of 0.4.
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<h3>Translation</h3>
The third transformation subtracts 8 from the x-coordinate and adds 8 to the y-coordinate. The x-coordinate is a measure of the distance to the right of the y-axis, so subtracting 8 from the x-coordinate means the point is 8 fewer units to the right of the y-axis. It is translated left 8 units.
Similarly, the y-coordinate is a measure of the distance up from the x-axis. Adding 8 to the y-coordinate will move the point 8 more units up from the x-axis. It is translated up 8 units.
Answer:
x^4/21
Step-by-step explanation: