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navik [9.2K]
3 years ago
6

Henry wrote an ordered pair on an index card. (4, 8) The second number of any ordered pair indicates how far to travel in which

direction a grid?
Mathematics
1 answer:
densk [106]3 years ago
4 0
Upward, the run then rise!! that’s how i always remembered it!
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Help!! Which of the following best represents Z1 • Z2 select all that apply
AURORKA [14]

z_1=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)

z_2=\sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)

\cos \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}

\sin \left(\frac{\pi }{4}\right)=\frac{\sqrt{2}}{2}

\cos \left(\frac{3\pi }{4}\right)=-\frac{\sqrt{2}}{2}

\sin \left(\frac{3\pi }{4}\right)=\frac{\sqrt{2}}{2}\\

Z_1*Z_2=\sqrt{3}\left(cos\:\frac{\pi }{4}+i\:sin\:\frac{\pi }{4}\right)\cdot \sqrt{6}\left(cos\:\frac{3\pi \:}{4}+i\:sin\:\frac{3\pi \:}{4}\right)

=\sqrt{3}\left(\frac{\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)\cdot \sqrt{6}\left(\frac{-\sqrt{2}}{2}+\:i\frac{\sqrt{2}}{2}\right)

On simplifying, we get

Z_1* Z_2 =-3\sqrt{2}

<h2>Therefore, correct option is  1st option.</h2>
3 0
3 years ago
If sin(theta) &gt; 0 and cos(theta) &gt; 0 then the terminal point determined by theta is in___. a) quadrant 1. b) quadrant 2. c
igomit [66]
a) quadrant 1 
there is the only place in the range between -pi and pi where both are positive
5 0
3 years ago
If you select one card at random from a standard deck of 52 cards, what is the probability that the card is a five AND a club?
horsena [70]

Probability is expressed as

number of favorable outcomes/number of total outcomes

The number of cards in a deck is 52(total outcomes)

Recall, there is only 1 five of clubs in a deck of cards(favorable outcomes)

Thus, the probability that the card is a five AND a club is 1/52

4 0
2 years ago
A new car costs $23,000. The value decreases by 15%
stiv31 [10]

Answer:

A new car costs $23,000. The value decreases by 15%  each year.

An exponential model to represent the  car's value after t years:

y = 23000 x (1 - 15/100)^year

  = 23000 x (0.85)^year

Hope this helps!

:)

3 0
3 years ago
What is the slope of the line?
Anit [1.1K]

La pendiente de una recta es la tangente del ángulo que forma la recta con la dirección positiva del eje de abscisas. En funciones no lineales, la razón de cambio varía a lo largo de la curva. La derivada de la función en un punto dado es la pendiente de la línea tangente en dicho punto.

F:V  7w7

7 0
3 years ago
Read 2 more answers
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