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laila [671]
3 years ago
15

5x - 9 = -8y - 3 what’s the x and y value of this equation

Mathematics
1 answer:
Feliz [49]3 years ago
8 0

Answer:

y= -\frac{5x}{8} +\frac{3}{4} \\

x= -\frac{8y}{5} +\frac{6}{5}

Step-by-step explanation:

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a student walks 50m on a bearing 0.25 degrees and then 200m due east how far is she from her starting point.​
Inessa05 [86]

Answer:

Step-by-step explanation:

I'm going to use Physics here for this concept of vectors. Here are some stipulations I have set for the problem (aka rules I set and then followed throughout the problem):

** I am counting the 50 m as 2 significant digits even though it is only 1, and I am counting 200 as 3 significant digits even though it is only 1. 1 sig dig doesn't really give us enough accuracy, in my opinion.

** A bearing of .25 degrees is measured from the North and goes clockwise; that means that measured from the x axis, the angle is 89.75 degrees. This is the angle that is used in place of the bearing of .25 degrees.

** Due east has an angle measure of 0 degrees

Now let's begin.

We need to find the x and y components of both of these vectors. I am going to call the first vector A and the second B, while the resultant vector will be C. Starting with the x components of A and B:

A_x=50cos(89.75) so

A_x=.22

B_x=200cos(0) so

B_x=200 and we need to add those results together. Due to the rules for adding significant digits properly, the answer is

C_x=200 (and remember I am counting that as 3 sig fig's even though it's only 1).

Now for the y components:

A_y=50sin(89.75) so

A_y=50 (which I'm counting as 2 sig fig's)

B_y=200sin(0) so

B_y=0 and we need to add those results together.

C_y=50

Now for the resultant magnitude:

C_{mag}=\sqrt{(200)^2+(50)^2}  and that gives us a final magnitude of

C_{mag}=206 m

Now for the angle:

Since both the x and y components of the resultant vector are in quadrant 1, we don't need to add anything to the angle to get it right, so

tan^{-1}(\frac{50}{200})=14

The girl is 206 meters from her starting point at an angle of 14 degrees

4 0
3 years ago
consider the quadratic functio. f(x)=x2-5x+6 what are the values of the coefficients and constant in the function​
eduard

Answer:

1and5 are coefficients6is a constant

Step-by-step explanation:

6 0
3 years ago
Absolute value of -8k=24
Kamila [148]

Answer:

I think it 8k=24

Step-by-step explanation:

all absolute vale makes it a negative a positive

3 0
2 years ago
Mario has a very disorganized sock drawer. Inside, there are 12 black socks and 16 white socks. Without looking, Mario takes one
BlackZzzverrR [31]

Given

12 black socks

16 white socks

Without looking, Mario takes one sock out of the drawer and then takes out another without replacing the first sock

Which expression shows one way to find the probability that he will take out two white socks?

Procedure

for the first white socks

\frac{16}{16+12}=\frac{16}{28}=\frac{4}{7}=0.5714

for the second white socks

\frac{15}{15+12}=\frac{15}{27}=\frac{5}{9}=0.555

3 0
11 months ago
Can somebody help me?
lubasha [3.4K]

Answer:

13, 13√3, 26

Step-by-step explanation:

30 60 90 right triangle

Ratio of short leg : long leg : hypo = a : a√3 : 2a

Given short leg = 13, so long leg = 13√3 and hypo = 13 * 2 = 26

Answer:

13, 13√3, 26

8 0
3 years ago
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