Answer:
negative
Step-by-step explanation:
The graph has a negative slope because the line is pointing downwards.
You can check your answer numerically using the slope formula (y2 - y1 divided by x2 - x1) and substituting with two coordinates on the line.
For example:
(x1, y1)
(x2, y1)
y2 - y1
----------
x2 - x1
Solve by subtracting the numerator and denominator, then divide.
Answer: 3x + 6
Step-by-step explanation:
You are using the distributive property so you already multiplied 3 and x so you just do the with 3 and 2 . You get six since the coefficient can't go into six that's your answer
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:
Step-by-step explanation:
C≈3.54
Using the formulas
A=πr2
C=2πr
Solving forC
C=2πA=2·π·1≈3.54491