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vitfil [10]
4 years ago
7

Please do not answer unless you are correct..I will award double points

Mathematics
1 answer:
Sophie [7]4 years ago
8 0
The dot product of two orthogonal vectors is always zero. 

Vector u can be expressed (-5,-3) as its ends on this points and starts from origin. The dot product of vector u with vector given in option A results in zero.

(-5, -3) · (1/5, -1/3)

= -5(1/5) + (-3)(-1/3)

= - 1 + 1

= 0 

Hence first option is the correct answer
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-2/3 (c-12)= <br><br> Please simplify this expression
Gelneren [198K]

Answer:

-2/3c + 8

Step-by-step explanation:

-2/3 (c-12)    distribute (multiply) the -2/3 to everything in the parentheses.

-2/3 * c = -2/3c

-2/3 * -12 = 24/3 which simplifies to 8 (negative times a negative = positive)

-2/3c + 8 is your answer

5 0
3 years ago
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What is the y intercept of the line
bija089 [108]

Answer:

The y-intercept of this line is 1.

Step-by-step explanation:

We are looking for the y-value when x=0. And that value is 1

5 0
4 years ago
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How do I factor this:
bija089 [108]

x²+6x²=7x²

then the rest is done for you

7x²+12x+8

8 0
4 years ago
Which pairs of figures are congruent? Which pairs are similar?
vitfil [10]

Answer:

put a picture with the question and I can help you

6 0
3 years ago
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A girl is flying a kite with a 120ft string attached to the ground is flying directly Selena’s head is standing 24 ft from where
SashulF [63]

Answer:

111.58 feet

Step-by-step explanation:

Given that the length of the string (AB in the attached diagram) is 120 feet.

Selena (at point D) is standing 24 feet from point A, where the kite is attached to the ground.

Since the kite is directly above Selena's head, the problem forms a right triangle.

Using Pythagoras theorem

|AB|^2=|BD|^2+|AD|^2\\120^2=|BD|^2+24^2\\|BD|^2=120^2-24^2\\|BD|^2=13824\\|BD|=\sqrt{13824} \\|BD|=117.58$ ft

Serena's height (CD=6 feet)

The distance of the kite above her head is BC in the drawn diagram.

Therefore:

|BD|=|BC|+|CD|

117.58=|BC|+6

|BC|=117.58-6

|BC|=111.58 feet

The kite is approximately 111.58 feet above Selena's head/

5 0
3 years ago
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