All categories

4 years ago

How many solutions does this system have? 2x+3y=-3 3x+ 5y=-9

Mathematics

1 answer:

zhuklara [117]4 years ago

4 0

Answer:

Step-by-step explanation:

2x + 3y = -3 3x + 5y = -9

3y = -2x - 3 5y = -3x - 9

y = -2/3x - 1 y = -3/5x - 9/5

slope = -2/3 slope = -3/5

y int = -1 y int = -9/5

to find the answer, u must compare the slopes and the y intercepts.

if they have the same slope and different y int's, then there is no solution

if they have the same slope and the same y int's, they have infinite solutions

if they have different slopes and different y int's, they have 1 solution

so this system has 1 solution <===

You might be interested in

Lesson 1-1

telo118 [61]

Answer:

Question D: what type of chips do students in this class prefer?

Step-by-step explanation:

5 0

1 year ago

g The altitude of a triangle is increasing at a rate 2 inch/hour while the area of the triangle is decreasing at a rate of 0.5 s

zubka84 [21]

Answer:

The base of the triangle is decreasing at a rate of 1.4167 inch/hour.

Step-by-step explanation:

Area of a triangle:

The area of a triangle of base b and height h is given by:

$A = bh$

In this question:

We have to derivate the equation of the area implicitly in function of time. So

$\frac{dA}{dt} = b\frac{dh}{dt} + h\frac{db}{dt}$

The altitude of a triangle is increasing at a rate 2 inch/hour while the area of the triangle is decreasing at a rate of 0.5 square inch per hour.

This means that:

$\frac{dh}{dt} = 2, \frac{dA}{dt} = -0.5$

At what rate is the base of the triangle is changing when the altitude is 6 inch and the area is 24 square inch?

This is $\frac{db}{dt}$ when $h = 6$

Area is 24, so the base is:

$A = bh$

$24 = 6b$

$b = \frac{24}{6} = 4$

Then

$\frac{dA}{dt} = b\frac{dh}{dt} + h\frac{db}{dt}$

$-0.5 = 4(2) + 6\frac{db}{dt}$

$6\frac{db}{dt} = -8.5$

$\frac{db}{dt} = -\frac{8.5}{6}$

$\frac{db}{dt} = -1.4167$

The base of the triangle is decreasing at a rate of 1.4167 inch/hour.

6 0

3 years ago

Who would like to talk no mean thing ok

scoray [572]

Answer: Hello My name is fatcat and sure I can talk to you (how was your day been today ):)

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Solve for h: A = (1/2)*b*h*<br> O h = 2*A*b<br> O h = A *(b/2)<br> O h = (2*A)/b<br> 0 h = (2+b)/A

Zolol [24]

Step-by-step explanation:

The answer is the third option

8 0

4 years ago

There is 120 ft of fencing available for a project. What would be the dimensions for the garden if the builders attached one sid

Pavlova-9 [17]

30 x 60

Step-by-step explanation:

the length of the perimeter would be 180, subtract 60ft for the fencing replaced by the wall and you meet the maximum 120ft

30X60 gives you the largest area with 1800ft^2

5 0

3 years ago