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spayn [35]
2 years ago
6

~~~~~~~~~~~`````````````````

Mathematics
1 answer:
bixtya [17]2 years ago
3 0

Answer:

Step-by-step explanation:

(-3/4)x + 9 = (-1/2)x + 8

        9 - 8 =  (-1/2)x + (3/4)x

               1 =  (1/4)x

              x = 4

y = (-3/4)4 + 9

y = -3 + 9

y = 6

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A line through the origin and (10,4) is showin in the standard (x,y) coordinate plane below. The acute angle between the line an
Snowcat [4.5K]

Answer:

\cos\theta=\frac{10}{\sqrt{116}}

Step-by-step explanation:

To solve this, we can imagine a line drawn directly down from the point (10,4) to the x-axis. This would make a right triangle with length 10 and height 4.

\cos\theta is equal to the length of adjacent leg to the angle divided by the length of the hypotenuse of the triangle. From the picture, we can see the adjacent leg is 10.

We can use Pythagorean's Theorem to find the hypotenuse (let c represent the length of the hypotenuse):

10^2+4^2=c^2

100+16=c^2

116=c^2

c=\sqrt{116}

Thus, we know the adjacent is 10, and the hypotenuse is \sqrt{116}. This means \cos\theta=\frac{10}{\sqrt{116}}.

Hope this helps!

5 0
3 years ago
Expand and simplify<br> (x – 3)(2x - 2)
vekshin1

Answer:

2x^2 - 8x + 6

Step-by-step explanation:

2x*x+(-3x*2x)+(x*(-2))+6=

2x^2-8x+6

6 0
3 years ago
working together it takes two computers 10 minutes to send out a company's email. If it takes the slower computer 30 minutes to
allochka39001 [22]

Answer: it will take the faster computer 15 minutes to do the job on its own.

Step-by-step explanation:

Let t represent the number of minutes it will take the faster computer to do the job on its own. It means that the rate at which it does the job per minute is 1/t

If it takes the slower computer 30 minutes to do the job on its own. It means that the rate at which it does the job on its own per minute is 1/30

By working together, they would work simultaneously and their individual rates are additive. Working together it takes two computers 10 minutes to send out a company's email. It means that the rate at which both computers work together per minute is 1/10 Therefore,

1/t + 1/30 = 1/10

Cross multiplying by 30x, it becomes

3x = x + 30

3x - x = 30

2x = 30

x = 30/2

x = 15 minutes

5 0
3 years ago
Please anwser im having the hardest time on this picture
Free_Kalibri [48]
What you do first is add the books 42 + 85 + 69 which equals 196. Then divide 196 by 7 and you get 28 :)
3 0
3 years ago
Read 2 more answers
There are two factors of -36 such that one factor is 11 less than half of the other factor choose all the pairs of these factors
Amanda [17]

Answer with explanation:

Factors of  -36 are

      =\pm 1, \pm 2,\pm 3,\pm 4, \pm 6, \pm 9, \pm 12, \pm 18, \pm 36

It is given that , among the factors of , -36 , one factor is 11 less than half of the other factor.

If you will take,  =\pm 1,\pm 3,\pm 4, \pm 9,, then you can find such pairs.

Pairs are= (3,-4), (9, -1),(-1, -6),

7 0
3 years ago
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