Answer:
2x² - 14x + 24
Step-by-step explanation:
Use the FOIL method (First, Outside, Inside, Last).
First, multiply the first term of both parenthesis:
2x * x = 2x²
Next, multiply the outside terms of both parenthesis:
2x * -4 = -8x
Then, multiply the inside terms of both parenthesis:
-6 * x = -6x
Finally, multiply the last terms of both parenthesis:
-6 * -4 = 24
Combine like terms:
2x² - 8x - 6x + 24
2x² (-8x - 6x) + 24
2x² (-14x) + 24
2x² - 14x + 24 is your answer.
~
Answer:
80 / 60 = 1.3 approximately
Step-by-step explanation:
Answer: 21
Step-by-step explanation: We are given that angle ABC is dilated with center P.
Scale factor=3
Angle A'B'C' is formed after dilation of angle ABC.
Dilation: when a figure is dilated by scale factor a then, the figure shape does not change.
After dilation, the size of figure changes.
The initial figure and the figure obtained after dilation are similar in shape.
When two figures are similar then , the angles of one figure are congruent to its corresponding angles in other figure and ratio of their corresponding sides are equal.
The measure of angle ABC=21'
After dilation by scale factor 3 then, the measure of angle A'B'C' remains=21'
Because the shape does not change in dilation transformation.
The lateral surface area excludes the top and bottom, the <em>bases </em>as they're referred to here. So we have the 9×5 front and back, and the 9×6 left and right sides.
Lateral Area = 9×5 + 9×5 + 9×6 + 9×6 = 9×(5+5+6+6) = 9×22 = 198
Answer: 198 square inches
Answer:
Week 1: 10 Minutes
Week 10: 77.5 Minutes or 1 hour and 17.5 Minutes
Week n: 10 + 7.5n
Step-by-step explanation:
Every week, Greg adds another 7.5 minutes to his workout time. Week 1 starts off with 10 minutes and continuously adds 7.5 minutes until he gets to week three, which 10 + 7.5(2) = 25 minutes.
