Find the solution to the system of equations.

1

vladimir2022 [97]

Answer:

6 -5 -4 -3 -2 -1 0 1 2

Step-by-step explanation:

6 0

3 years ago

help A plumber charges a $75 flat fee for jobs lasting up to an hour and $30 for each hour of labor after the first hour. Which

lutik1710 [3]

Answer:

30h+75

Step-by-step explanation:

Hope this helps!

5 0

4 years ago

Sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and i

Black_prince [1.1K]

Question is Incomplete;Complete question is given below;

Sam wants to fence his rectangular garden plot along its length on the front side. The perimeter of the plot is 24 meters, and its length is 3 times its width. If x is the length and y is the width of the plot, set the equations of the system. Solve and determine the values of x and y. If the cost of fencing is $25 per meter, how much does Sam need to spend on fencing?

Answer:

Length of the plot $(x)$ is 9 meter and width of the plot $(y)$ is 3 meter.

Sam need to spend $225 on fencing.

Step-by-step explanation:

Given;

Perimeter of the plot =24 m

Length of the plot is denoted ' $x$ '

Width of the plot is denoted by $'y'$

Cost of Fencing = $25 per meter.

We need to find the the values of x and y.

Also we need to find how much does Sam need to spend on fencing.

Solution:

Now given that;

length is 3 times its width.

so we get;

$x=3y$

Now we know that;

Perimeter of the rectangle is equal to 2 times sum of its length and width.

framing in equation form we get;

$24=2(x+y)$

But $x=3y$

so we get;

$24 =2(3y+y)\\\\24=2(4y)\\\\24=8y$

Dividing both side by 8 we get;

$\frac{24}{8}=\frac{8y}{8}\\\\y =3\ m$

Now width of the plot = 3 meter

Length of the plot $x=3y=3\times3= 9\ m$

Hence Length of the plot $(x)$ is 9 meter and width of the plot $(y)$ is 3 meter.

Now given that;

Sam wants to fence his rectangular garden plot along its length on the front side.

So we can say that;

Length to be fenced = 9 m

Cost of fencing = $25/meter

Cost of fencing the garden = $9\times 25= \$225$

Hence Sam need to spend $225 on fencing.

3 0

4 years ago

A pair of tow trucks are pulling on a trailer that is stuck

Varvara68 [4.7K]

Answer:

R=10,244 Lb

Step-by-step explanation:

In order to solve this problem, we can start by drawing the situation. (See attached picture).

We can look at the forces applied by the trucks as vectors, so in this case, in order to find the resultant force, we can add the two vectors. You can do so by drawing one force after the other and join the start of the first force with the end of the second force to form a triangle. The missing side will be the resultant force. In that triangle I drew there, the inner angle will be found by subtracting 180°-110°=70°

In this case we can find the resultant force by using the law of cosines:

$A^{2}=B^{2}+C^{2}-2AB cos \alpha$