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Art [367]
2 years ago
5

How to do this plz tell​

Mathematics
2 answers:
Katyanochek1 [597]2 years ago
8 0

Answer:

3) 1/2 = 6/12

6) 2/3 = 4/6

9) 4/6 = 8/12

12) 3/4 = 9/12

15) 4/4 = 9/9

18) 6/9 = 4/6

Step-by-step explanation:

Divide the smaller of the denominators into the larger denominator. This give you a number to multiply by the known numerator to obtain the missing numerator.

Examples:

3)  1/2 = ?/12,   12÷2 = 6,  6 ×1 = 6, so  1/2 = 6/12

4) 2/3 = ?/6,     6÷3 = 2,   2×2 = 4,  so 2/3 = 4/6

etc.

etc.

etc.

VARVARA [1.3K]2 years ago
6 0
3. = 6/12
6. = 4/6
9. = 8/12
12. = 9/12
15. = 9/9
18. = 4/6
Hope this helps !
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muminat
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3 years ago
Determine the angles made by the vector v = (67)i + (-15)j with the positive x- and y-axes. write the unit vector n in the direc
vivado [14]
Consider the picture attached.

From right triangle trigonometry: 

tan(α)=(opposite side)/(adjacent side)=15/67=0.2239

using a scientific calculator we find that arctan(0.2239)=12.62°

thus α=12.62°, is the angle that the vector makes with the positive x-axis.

The angle made with the + y-axis is 12.62°+90°=102.62°.



The length of the vector v can be determined using the Pythagorean theorem:

|v|= \sqrt{ 67^{2} + 15^{2} }= \sqrt{4489+225}= \sqrt{4714}=68.8


Thus, to make v a unit vector, without changing its direction, we need to divide v by |v|=68.8. 

This means that the x and y components will also be divided by 68.8, by proportionality.

So, the unit vector in the direction of v is:

<span>(67/68.8)i + (-15/68.8)j=0.97 i + (- 0.22)j
</span>

Answer: 12.62°;  102.62°;  0.97 i + (- 0.22)j

6 0
3 years ago
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Ede4ka [16]
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Read 2 more answers
(5,1); m=2 write an equation of the line
gtnhenbr [62]
Hey there! :) 

To find an equation of a line that passes through (5, 1) and has a slope of 2, we'll need to plug our known variables into the slope-intercept equation.

Slope-intercept equation : y = mx + b ; where m=slope, b=y-intercept

Since we're already given the slope, all we really need to do is find the y-intercept.

We can do this by plugging our known values into the slope-intercept equation.

y = mx + b

Since we're trying to find "b," we need to plug in "y, m, x" into our formula.

(1) = (2)(5) + b

Simplify.

1 = 10 + b

Subtract 10 from both sides.

1 - 10 = b

Simplify.

-9 = b

So, our y-intercept is 9! 

Now, we can very simply plug our known values into slope-intercept form.

y = mx + b

y = 2x - 9 → final answer

~Hope I helped!~
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