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Alex787 [66]
3 years ago
5

Between what pair of numbers is the product of 289 and 7

Mathematics
1 answer:
Colt1911 [192]3 years ago
3 0
289 X 7 = 2023

2022 2023 2024

2023 IS BETWEEM 2022 AND 2024 (:
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Write the vector v in the form aiplusbj​, given its magnitude left norm Bold v right norm and the angle alpha it makes with the
photoshop1234 [79]

Answer:

6\sqrt{3}i-6j

Step-by-step explanation:

Given:

The magnitude, v=12

The angle \alpha it makes with the positive​ x-axis =150^0

Now for a vector (x,y)

  • \alpha =tan^{-1}(\frac{y}{x} ) ; and
  • v=\sqrt{x^2+y^2}

Therefore:

150 =tan^{-1}(\frac{y}{x} )\\\frac{y}{x} =tan 150\\\frac{y}{x}=-\frac{\sqrt{3} }{3}

y=-\frac{x \sqrt{3}}{3}

Similarly:

v=\sqrt{x^2+y^2}\\12=\sqrt{x^2+y^2}\\12^2=x^2+y^2\\144=x^2+y^2

144=x^2+(-\frac{x \sqrt{3}}{3} )^2\\144=x^2+\frac{3x^2}{9} \\144=\frac{4x^2}{3}\\4x^2=144 X 3=432\\x^2=108\\x=6\sqrt{3}

Recall that:

y=-\frac{x \sqrt{3}}{3}\\y=-\frac{6\sqrt{3}  \sqrt{3}}{3}=-6

Therefore: (x,y)=(6\sqrt{3}, -6)

The vector in the form ai+bj is therefore:

6\sqrt{3}i-6j

6 0
4 years ago
F(x) = { x + 7 and g(x) = -x + 7<br> What transformation occurs from function f to function g?
Triss [41]
<h3>Answer:  Reflect over the y axis</h3>

=====================================================

Explanation:

We have these two given functions

  • f(x) = x+7
  • g(x) = -x+7

The change is that the x has been replaced with -x

We can say

f(x) = x+7

f(-x) = -x+7 ... replace each x with -x

g(x) = f(-x)

g(x) = -x+7

When we replace x with -x, we're flipping the x inputs from positive to negative, and vice versa. This visually will reflect the line over the vertical y axis. A point like (1,8) on f(x) reflects over to (-1,8) on g(x).

As another example, the point (-5,2) on f(x) reflects over the y axis to arrive at (5,2) on the g(x) function.

5 0
3 years ago
3 2/3 of 4/5 of pizza equals how many pizza
Reil [10]

Answer:

11/3 x 4/5 = 44/15 = 2 14/15

7 0
3 years ago
If the points are connected what polygon is formed
aleksklad [387]
You need to include an image so I can help
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What are the chart and graph numbers?
Anarel [89]

Answ

x and y coordinates

Step-by-step explanation:

6 0
3 years ago
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