Solve 6f-4g=1,6f-6g=5

[tex] \boxed{(6, -3)} [/tex]

Step-by-step explanation:

Given the ratio 5:3

and Points A and B where A is located at (-6, 3), and B is located at (26, -13).

Let point A be [tex] (x_{1}, y_{1}) [/tex], and let point B be [tex] (x_{2}, y_{2}) [/tex].

(-6, 3) → [tex] (x_{1}, y_{1}) [/tex].

(26, -13) → [tex] (x_{2}, y_{2}) [/tex].

Let 5 be n, and 3 be m.

5:3 → n:m

[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex].

To solve, just substitute these variables into the expressions of these coordinates to get the answer.

[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex] →

[tex] (\frac{(5)x_{1} + (3)x_{2}}{(5)+(3)}, \frac{(5)y_{1} + (3)y_{2}}{(5) + (3)}) [/tex] →

[tex] (\frac{(5)(-6)+ (3)(26)}{(5)+(3)}, \frac{(5)(3)+ (3)(-13)}{(5) + (3)}) [/tex] →

[tex] (\frac{-30 + 78}{8}, \frac{15+ -39}{8}) [/tex] →

[tex] (\frac{78 – 30}{8}, \frac{15 – 39}{8}) [/tex] →

[tex] (\frac{48}{8}, \frac{-24}{8}) [/tex]

→

[tex] (\frac{6}{1}, \frac{-3}{1}) [/tex]

→

[tex] (6, -3) [/tex].

Thus the coordinates of B are:

[tex] \boxed{(6, -3)} [/tex]

Answer:

Step-by-step explanation:

AB:BC::5:3

let the coordinates be (x,y)

[tex]x=\frac{nx1+mx2}{m+n} \\=\frac{3(-6)+5(26)}{5+3} \\=\frac{-18+130}{8} \\=\frac{112}{8} \\=14\\y=\frac{ny1+my2}{m+n} \\=\frac{3(3)+5(3)}{5+3} \\=\frac{9+15}{8} \\=\frac{24}{8} \\=3\\[/tex]

coordinates of B are (14,3)

Answer:

Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.

Step-by-step explanation:

please amrk this answer as brainliest

Answer:

$1.50

Step-by-step explanation:

12/8 = 1.50

Answer:

each taco cost $1.50

Step-by-step explanation:

Answer:

I believe one flash drive would cost $16.50.

Step-by-step explanation:

55=2x+22

-22       -22

33=2x

/2    /2

16.50=x

Hope this helps! Have an Amazing day!!

Step-by-step explanation:

1. Angle 5 = 120 degree

Angle 5 = Angle 6 ( alternate exterior angles are equal )

Therfore, Angle 6 = 120 degree

Angle 6 = Angle 4 ( Vertically opposite angles are equal )

Therfore, Angle 4 = 120 degree

Angle 4 = 5x

120 = 5x

120/5 = x

40 = x

Therefore x = 40 degree.

2. Angle 1 = 100 degree

Angle 1 = Angle 7 ( vertically opposite angles are equal )

Therefore, Angle 7 = 100 degree

Angle 7 = 10x

100 = 10x

100/10 = x

10 = x

Therefore x = 10 degree

I want some more time for this question.

Answer:

16n^2+40n+25

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

Answer:

C :D

Step-by-step explanation:

Answer:

3 3/4 cubic inches

Step-by-step explanation:

2 1/2 × 1 1/2 × 1= 3 3/4

[tex]l*w*h=v[/tex]

Answer:

its 56

Step-by-step explanation:

Answer:

C:  (0, 5)

Step-by-step explanation:

The x-coordinates are all the same:  0.  In y = 2x + 5, the 2x term would be zero in all those cases, leaving only the y-intercept (5).  

We conclude that the line would pass through (0, 5), which is the y-intercept.

Step-by-step explanation:

i think it means that when negative tow crosses the equal sign, as in a calculation,it becomes positive

eg. -2 +z=0

z =2

Answer:

Negative two is equal to negative two

Step-by-step explanation:

Kinda confused as to why you do not understand that expression...

Son el B el C y el E

Answer:

Step-by-step explanation:

Answer:

u=-2

Step-by-step explanation:

Let's solve your equation step-by-step.

11u=−22

Step 1: Divide both sides by 11.

11u

11

=

−22

11

u=−2

Answer:

u=−2

Answer:

-5FStep-by-step explanation:

10-5x3=-5 F

Answer:

17

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[4 - (-4)]² + [8 - (-7)]²

√(8)² + (15)²

√64 + 225

√289

=17

Answer:

-4a

Step-by-step explanation:

Answer:Below

Step-by-step explanation:

A baseball is round.

So, the diameter and the height are the same.

The radius is half of the diameter, so: 2.5 x 2 = 5

The height is also 5.

The Volume is 65.45

Answer:

Step-by-step explanation:

The Volume is 65.45

sorry I answered wrongly

Answer:

Shelly's age  is less than 21

Step-by-step explanation:

S+15 < 36

S < 21

Answer:

They donated 6%.

Step-by-step explanation:

The total sales were $9800.

The amount donated is $588.

We want to know what percent of 9800 is 588.

Let's make an equation.

what percent of 9800 is 588

x/100 • 9800 = 588

Divide by 9800.

x/100 = 0.06

Multiply by 100.

x = 6

They donated 6%.

Hope this helps!

Answer:

Step-by-step explanation:

Nothing further can be done with this topic.  

f ( x ) = 3 x 2 − 10 x − 9

Answer:

188.24  (rounded)--- 188.2

Step-by-step explanation:

You want to first find the area of all the the different shapes you have...

you have 2 semicircles   A=  πr²/2    (because it is /2 you don't really need that because in the end you are going to *2 so just make the equation A= πr²)

you have a rectangle A= b*h

you have a triangle A = b*h/2

Semicircles:  A= πr²   =     (3.14) 4²   =  (3.14*16)           =      50.24

rectangle:  A = b*h     =      12*8              =      96

Triangle:   A = b*h/2         =   12 * 7/2         =      84/2        =       42

then you add them up

50.24 + 96 + 42

= 188.24

Answer:

Impossible; certain to happen

Step-by-step explanation:

Probability = 0 applies to an event which cannot happen.  Example: roll a die and get a 7.

Probability = 1 applies to an even which is certain to occur.  Example: roll a die and get a number less than 8.

Answer:

The probability that two of them

die is 0.257

Step-by-step explanation:

From the question, we have that the mortality rate is 0.1

So the probability that they will survive is 1-0.1 = 0.9

Now, we want to check that two will die

We are going you use the Bernoulli approximation of the Binomial theorem as follows

= nCr * p^n * q^(n-r)

where n = 16

r = 2

P = 0.1

q = 0.9

Substituting these values;

14 C 2 * 0.1^2 * 0.9^12

= 0.257

Answer:

Your personal information is stolen. Stay away from them under all circumstances.

The interest added at the end of the year is $10, The total goal of O’Neill Raiders fundraiser is $2500 and Sameer scored better than 507 students.

Percentage is the parts of a number per fraction of 100. We can divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Initial amount, P = $250

Rate of interest, r = 4% = 0.04

Interest amount = P × r × t, where t is the number of years = 1 here.

                          = 250 × 0.04 × 1

                          = $10

28% of the total fundraising goal = $700

Let x be the total fundraising goal.

28% × x = 700

0.28x = 700

x = 700 / 0.28 = $2500

Total number of students = 650

Sameer scored better than 78% of all students.

Number of students that Sameer scored better = 78% × 650

                                                                               = 0.78 × 650

                                                                               = 507

Hence all the answers are found.

Learn more about Percentage here :

https://brainly.com/question/626448

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Answer:

false

Step-by-step explanation: