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raketka [301]
3 years ago
14

Evaluate the expression: |8| - 2 x |-3| + 4 22 10 42 6

Mathematics
1 answer:
JulsSmile [24]3 years ago
3 0

Answer:

−6x+12

Step-by-step explanation:

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A vector with magnitude 9 points in a direction 190 degrees counterclockwise from the positive x axis. Write in component form
Over [174]

Answer:

\vec{v}= \text{ or } \approx

Step-by-step explanation:

Component form of a vector is given by \vec{v}=, where i represents change in x-value and j represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector \vec{v}=, the magnitude is ||v||=\sqrt{i^2+j^2.

190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being i, one leg being j, and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.

In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.

Therefore, we have:

\sin 10^{\circ}=\frac{j}{9},\\j=9\sin 10^{\circ}

To find the other leg, i, we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:

\cos 10^{\circ}=\frac{i}{9},\\i=9\cos 10^{\circ}

Verify that (9\sin 10^{\circ})^2+(9\cos 10^{\circ})^2=9^2\:\checkmark

Therefore, the component form of this vector is \vec{v}=\boxed{}\approx \boxed{}

6 0
3 years ago
Please help me with this question<br><br><br><br> pls, I really need help
Inessa [10]
Answer: x=7, y=-23
(7,-23)

Explanation:

4 0
2 years ago
A rectangular playground is 888 meters wide. It is 333 times as long as it is wide.What is the area of the playground?
rjkz [21]
888×333= 295704 which is your length and the next step is to multiply your length times your width which would be 295704×333=262585152. So your FINAL ANSWER IS 262585152 METERS SQUARED
5 0
3 years ago
Read 2 more answers
Tell whether the sequence is arithmetic if it is identify the common difference -1 7 15 23
zhuklara [117]
Yes it is a arithmetic sequence this is because you are adding 8 to each number to get the result of the next number
5 0
3 years ago
Find the absolute maximum and absolute minimum values of f on the given interval. (If an answer does not exist, enter DNE.)
vodka [1.7K]

Answer:

absolute max is 120 and absolute min is -8

Step-by-step explanation:

Find critical numbers

f'(x) = 3x^2 - 12x + 9 = 0

= 3(x^2 - 4x + 3) = 0

3(x-3)(x-1) = 0

(x-3) = 0 or (x-1)=0

x = 1,3

Test them!

x<1     Sign of f' on this interval is positive

1<x<3 Sign of f' on this interval is negative

x>3    Sign of f' on this interval is positive

f(x) changes from positive to negative at x = 1 which means there is a relative maximum here.

f(x) changes from negative to positive at x = 3 which means there is a relative minimum here.

Test the endpoints to find the absolute max and min.

f(-1) = -8

f(1) = 12

f(3) = 8

f(7) = 120

The absolute maximum value of f is 120 and the absolute minimum value of f is -8.

7 0
3 years ago
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