All categories

3 years ago

Solve the system of equations for X and Yy=x+5y=2x+2

Mathematics

1 answer:

garik1379 [7]3 years ago

6 0

X+5=2x+2
5-2=2x-x
3=x
y=(3)+5
y=8

You might be interested in

How ling will it take you to drive 120 miles at a speed of 15 miles per hour?

Setler79 [48]

It will take you 8 hours

3 0

4 years ago

Given the sequence rn defined recursively below, find r3. r1rn=2=−rn−1+n−2

kifflom [539]

Answer:

$r_3=3$

Step-by-step explanation:

Given:

$r_1=2\\r_n=-r_{n-1}+n-2$

We want to find the value of $r_3$ .

$\\r_2=-r_{2-1}+2-2\\r_2=-r_1\\r_2=-2\\\\r_3=-r_{3-1}+3-2\\r_3=-r_{2}+1\\r_3=-(-2)+1\\r_3=2+1\\r_3=3$

7 0

3 years ago

What are the x- and y- coordinates of point E, which partitions the directed line segment from A to B into a ratio of 1:2?

Solnce55 [7]

The coordinates of the points A and B are not given. We'll assume: A(3,1) B(12,-5)

Answer:

The coordinates of E are (6,-1)

Step-by-step explanation:

Partition of a Segment

The length of segment directed from A(xa,ya) to B(xb,yb) can be decomposed in its x,y coordinates:

$x_{AB}=x_b-x_a$

$y_{AB}=y_b-y_a$

If a point E is to be in the segment and partition it into a ratio 1:2, then

\displaystyle \frac{x_{AE}}{{x_{EB}}=\frac{y_{AE}}{{y_{EB}}=\frac{1}{2}

But

$x_{AE}=x_e-x_a$

$y_{AE}=y_e-y_a$

$x_{EB}=x_b-x_e$

$y_{EB}=y_b-y_e$

Then we set the equation:

$\frac{x_{AE}}{{x_{EB}}=\frac{1}{2}$

$2(x_e-x_a)=x_b-x_e$

Operating and rearranging

$3x_e=x_b+2x_a$

Solving

$\displaystyle x_e=\frac{x_b+2x_a}{3}=\frac{12+6}{3}$

$x_e=6$

Similarily

$\displaystyle y_e=\frac{y_b+2y_a}{3}=\frac{-5+2}{3}$

$y_e=-1$

The coordinates of E are (6,-1)

8 0

4 years ago

Read 2 more answers

What is the value of X in these figures?

Anettt [7]

The value of the X must be 74 in. ..

4 0

3 years ago

Finding the answer (solution) for z!

olga nikolaevna [1]

Answer:

z = 83/(6-c-t)

Step-by-step explanation:

-cz +6z = tz +83

Subtract tz from each side

-cz +6z -tz = 83

Factor out z

z(6-c-t) = 83

Divide by (6-c-t)

z(6-c-t) /(6-c-t) = 83/(6-c-t)

z = 83/(6-c-t)

5 0

3 years ago

Solve the system of equations for X and Yy=x+5y=2x+2 ​

Solve the system of equations for X and Yy=x+5y=2x+2