Answer:
- Vertical Stretch
-Left 7 Units
-Up 2 units
Step-by-step explanation:
Because the formula is being multiplied by a number larger than 1, it is being vertically stretched. In this problem, it is being vertically stretched by a factor of 3/2.
When X is being added to in the parenthesis, it causes the graph to shift to the left. Since the equation has (X+7), the graph shifts left by 7 units.
When a number is added to the equation, it causes the graph to shift upwards. In this example, 2 is being added, therefore, the graph shifts upwards by 2 units.
That means there is a vertical stretch by a factor of 3/2, a horizontal translation left 7 units, and a vertical translation up 2 units
Answer:
Step-by-step explanation:
The equation for a circle in standard form is , where h and k are the coordinates of the center. Our center has an h value of -2 and a k value of -3 with an r value of 3. Fitting those values into our standard form of a circle we have . Subtracting a negative is the same as adding, and squaring the right side gives us 9, so the equation is . Third choice from the top.
Answer:
The difference in area between the trapezoid and the rectangle is 10 in²
Step-by-step explanation:
The dimensions of the trapezoid are given as follows;
Base 1, a = 12 in
Base 2, b = 10 in
Height, h = 10 in
Area, A of trapezoid;

The dimensions of the rectangle are given as follows;
Base = 12 in
Height = 10 in
Area, A of rectangle;
Base × Height = 12 × 10 = 120 in^2
Therefore, the difference in area between the two packages is found as follows;
Difference in area between trapezoid and rectangle = 120 - 110 = 10 in²
The difference in area between the trapezoid and the rectangle = 10 in².
Answer:
The slope is 3
Step-by-step explanation:
Parallel lines always have the same slopes. This equation is in slope-intercept form, y=mx+b, m being the slope. Our m, or the slope, is 3, and because the line is parallel, it also has a slope of 3.