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Ad libitum [116K]
3 years ago
9

Can someone please help me with this problem...thanks

Mathematics
1 answer:
makkiz [27]3 years ago
8 0

Answer:

41/15

Step-by-step explanation:

I don't know

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find point p that divides segment AB into a 2:3 ratio. The point should be closer to A. A(-3,1) and B(3,5)
Mademuasel [1]
First, work out how much you need to add to A's x and y coordinates in order to get to point B from point A.

So (using Ax to mean x-coordinate of A, Ay the y-coordinate of A, etc):
x-difference = Bx - Ax = 3 - (-3) = 3 + 3 = 6
y-difference = By - Ay = 5 - 1 = 4

Now, if the point divides the segment AB in the ratio 2:3, then it is 2/(2+3) of the way along the line AB.

i.e. it is 2/5 of the way along the line AB.

We therefore need to add 2/5 of the x- and y-differences to point A to get point p:
px = Ax + (2/5)*(x-difference) = -3 + (2/5)*6 = -3 + 12/5 = -15/5 + 12/5 = -3/5 = -0.6
py = Ay + (2/5)*(y-difference) = 1 + (2/5)*4 = 1 + 8/5 = 5/5 + 8/5 = 13/5 = 2.6

Therefore coordinates of p are (-0.6, 2.6)
7 0
3 years ago
A pentagon has angle measures of 12x°, 7x°, 16x°, 9xº, and 10x°. Find the<br> value of x.
8_murik_8 [283]

Answer:

10

Step-by-step explanation:

The sum of all the interior angles of a pentagon is 540°

So...

540 = 12x + 7x + 16x+ 9x + 10x

Combine like terms:

540 = 12x + 7x + 16x+ 9x + 10x

540 = 54x

Divide by 54 on both sides:

540 = 54x

/54     /54

10 = x

Hope this helps :)

8 0
2 years ago
(2k+11)<br> 131°<br> What is the value of k
Triss [41]
The value of k is 60


131 - 11 = 120
120/2 = 60

hope this helped !
6 0
3 years ago
Read 2 more answers
For five mathematics tests, your scores were 81, 86, 81, 76, 71. what was your average score?
trasher [3.6K]

add them together then divide by 5

81 +86 +81 +76 +71 = 395

395/5 = 79

 your average was 79

7 0
3 years ago
Given sin(−θ)= −1/4 and tanθ= 15√15 .<br><br> What is the value of cosθ ?
dangina [55]

\sin =  \frac{y}{r}  \\  \\   \tan =  \frac{y}{x}  \\ \\ \cos =  \frac{x}{r} \\  \\   {x}^{2}  +  {y}^{2} =  {r}^{2}

-  \sin =  \frac{ - 1  \: =  \: y}{4  \: =  \: r}
15 \sqrt{15}  =  \frac{1}{x}  \\  \\ x = .017
\cos =  \frac{.017}{4}  = .0043
4 0
3 years ago
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