Questions in Grade High-school

Questions in Grade High-school

[Done] How to solve this???

[Done] Modulus: If [tex]z_1 = -2 + 3i[/tex] and [tex]z_2 = 1 + 2i[/tex], calculate [tex]|z_1|[/tex], [tex]|z_2|[/tex], and [tex]|z_1 + 2z_2|[/tex].

[Done] If you were going to make segment marks on a chewy fruit worm without any marks, what would be the advantage or disadvantage of using a prime number of segments?

[Done] A power station burns 75 kilograms of coal per second. Each kg of coal contains 27 million joules of energy. a. What is the total power of this power station in watts? (Watts = Joules/second) b. The power station’s output is 800 million watts. How efficient is this power station?

[Done] Algebraically solve the system of equations shown below. Note that you can use either factoring or the quadratic formula to find the X – coordinates, but the quadratic formula is probably easier.

[Done] If [tex]z = 4 - 3i[/tex], write [tex]z^2 + 17[/tex] in the form [tex]a + bi[/tex], where [tex]a, b \in \mathbb{R}[/tex]. Hence, solve [tex]k(z^2 + 17) = |z|(1 - i)[/tex].

[Done] Which detail provides the best evidence that Lochinvar is not only bold but also clever? A. He stations his horse by the door for a quick escape. B. He alarms the wedding party by his sudden appearance at the ceremony. C. He politely drinks a cup of wine to toast the bride and groom. D. He impresses the wedding guests with his dancing skills.

[Done] The scale diagram of a basketball court uses a scale of 1:280. The length of the court measures 10 cm in the diagram. What is the actual length of the court in meters? (Round to the nearest meter.)

[Done] What is one reason the Supreme Court gave for its decisions in the 1883 discrimination cases? A. The Fourteenth Amendment applied only to states, not individuals. B. The Fifteenth Amendment did not address discrimination. C. The Fourteenth Amendment had been repealed. D. The Fifteenth Amendment applied only to African Americans, not immigrants.

[Done] Zabato is thinking of a number. Three times the sum of the number and ten is the same as eight times the number. What is Zabato's number?