Questions in Grade High-school

Questions in Grade High-school

[Done] Which structure controls the amount of light that enters the eye?

[Done] What is the most accurate estimation of 65 + 77?

[Done] Perform the operation and answer in \( a + bi \) form (where \( i \) is the imaginary unit): \[ \frac{2+i}{2-1} \]

[Done] Perform the operation and express the answer in \(a + bi\) form, where \(i\) is the imaginary unit. [tex](3 + \sqrt{9})(2 - \sqrt{-25})[/tex]

[Done] Simplify the following expressions: 1. \[ \frac{9 - 7x}{x + 7} + \frac{x - 4}{x + 7} \] 2. \[ \frac{7x}{x - 7} - \frac{11x}{x - 7} \] 3. \[ \frac{9x}{x + 9} - \frac{14x}{x + 9} \] 4. \[ \frac{3x - 4}{x + 6} - \frac{x - 9}{x + 6} \] 5. \[ \frac{x - 3}{2x} + \frac{x - 4}{6x} \] 6. \[ \frac{11}{x + 9} + \frac{3}{x - 2} \] 7. \[ \frac{1}{x^2 - x} - \frac{1}{x} \]

[Done] In the late 1930s and early 1940s, the United States increased defense expenditures, instituted the peacetime draft, and passed the Lend-Lease Act, indicating that the government: A) planned to declare war on Japan. B) was planning to defend Pearl Harbor. C) was concerned about growing German domination of Europe. D) had fully recovered from the effects of the Great Depression.

[Done] Explain why you can choose any point on either line when calculating the distance between two parallel lines.

[Done] The value of \(30 - (2 - 4) \div (-2)\) is: A. \(-16\) B. \(-14\) C. \(31\) D. \(29\)

[Done] Why were waterways such as rivers and canals important to the nation in the early 19th century? Select one: A. They provided the first hydroelectric dams and thus powered our first cities. B. They were most easily defended as our naval ships could be moored at their entrances to protect against invasion. C. They provided water so that herdsmen could keep large herds of cattle in areas that might not otherwise support this industry. D. They were the easiest means of transportation, used by farmers, herders, and others to get their products to market.

[Done] Solve and check for extraneous solutions. [tex] \sqrt{3x+1} = x-1 [/tex]