Which reason best explains the motivation for American expansionism?
A. It would be important to maintain political influence in developing countries.
B. A U.S. naval presence around the world would decrease the chance of future wars.
C. American goods would stimulate local economies throughout the world.
D. New markets for American goods would strengthen the U.S. economy.
it
D
D
B
C
100% i promise
barry Allen aka aka the flash is correct
@barry allen aka the flash is 100% percent correct, thank you :)
Simplify the expression.
(2k + 1) (k – 4)
A. 2k2 – 7k + 4
B. 2k2 –3k + 4
C. 2k2 + 9k + 4
D. 2k2 – 7k – 4
Expanding using FOIL method, we get:
(2k + 1) (k – 4) = 2k(k – 4) + 1(k – 4) = 2k² – 8k + k – 4
Simplifying the expression, we get:
2k² – 7k – 4
Therefore, the answer is D. 2k² – 7k – 4.
Simplify the expression.
(–y + 4)(2y – 1)
A. 2y2 + 7y + 3
B. 2y2 + 5y – 4
C. –2y2 + 9y – 4
D. –2y2 + 6y + 3
Using FOIL method, we get:
(–y + 4)(2y – 1) = –2y² + y + 8y – 4
Simplifying the expression, we get:
–2y² + 9y – 4
Therefore, the answer is C. –2y² + 9y – 4.
Short Answer
Note: For questions 22–23, your teacher will grade your response to ensure you receive proper credit for your answer.
Look at the given triangles.
triangles
The blue triangle is a right triangle. The vertical leg is labeled with the expression 4 x plus 2. The horizontal leg is labeled with the expression 5 x minus 4. The hypotenuse is labeled with the expression 7 x plus 7.
The red triangle is a right triangle. The vertical leg is labeled with the expression x plus 3. The horizontal leg is labeled with the expression x plus 7. The hypotenuse is labeled with the expression 2 x minus 5.
a. Write an expression in simplest form for the perimeter of each triangle.
b. Write another expression in simplest form that shows the difference between the perimeter of the larger triangle and the perimeter of the smaller triangle.
c. Find the perimeter for each triangle when x = 3
a. The perimeter of the blue triangle is the sum of its three sides:
Perimeter = vertical leg + horizontal leg + hypotenuse
Perimeter = (4x + 2) + (5x - 4) + (7x + 7)
Simplifying, we get: Perimeter = 16x + 5
The perimeter of the red triangle is the sum of its three sides:
Perimeter = vertical leg + horizontal leg + hypotenuse
Perimeter = (x + 3) + (x + 7) + (2x - 5)
Simplifying, we get: Perimeter = 4x + 5
b. The difference between the perimeter of the larger triangle and the perimeter of the smaller triangle can be found by subtracting the smaller perimeter from the larger perimeter:
Difference = Perimeter of larger triangle - Perimeter of smaller triangle
Difference = (16x + 5) - (4x + 5)
Simplifying, we get: Difference = 12x
c. Substituting x = 3 in the expressions for the perimeters, we get:
Perimeter of blue triangle = 16(3) + 5 = 53
Perimeter of red triangle = 4(3) + 5 = 17
Therefore, the perimeter of the blue triangle when x = 3 is 53 units and the perimeter of the red triangle when x = 3 is 17 units.