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Harrizon [31]
3 years ago
13

How would i graph y=− 5/2x-3 and x−y=−4 (_,_)

Mathematics
1 answer:
SashulF [63]3 years ago
6 0

Given:

The system of equations is

y=-\dfrac{5}{2}x-3

x-y=-4

To find:

The graph of the given system of equations and its solution.

Solution:

The table of values for y=-\dfrac{5}{2}x-3 is

x        y

-4       7

-2       2

0      -3

Plot these points and connect them by a straight line.

The table of values for x-y=-4 is

x          y

-4         0

-2         2

0         4

Plot these points and connect them by a straight line.

From the below graph it is clear that the lines intersect each other at point (-2,2).

Therefore, the solution of given system of equation is (-2,2).

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the area of a rectangle is 95 square yard. if the perimeter is 48 yards find the length and width of rectangle
Vladimir [108]
Try this option:
according to the condition w+l=48 and w*l=95.
Using these two equation:
\left \{ {{l+w=48} \atop {lw=95}} \right. \ =\ \textgreater \  \   \left[\begin{array}{ccc}l=24- \sqrt{481};w=24+ \sqrt{481}\\ \\l=24+ \sqrt{481};w=24- \sqrt{481}\end{array}
4 0
2 years ago
Use the linear combination method to solve the system of equations. â€"2. 1x 4y = 5. 3 2. 1x â€" 5. 5y = â€"0. 2 What is the sol
RoseWind [281]

The solution to the systems of equations is (7, 3)

Given the systems of equations expressed as:

-x + 4y = 5 ....................1

x - 5y = -2 ...................... 2

Add both equations to have:

-x+x + 4y - 5y = 5 - 2

4y-5y = -3

-y = -3

y = 3

Substitute y = 3 into equation 1:

-x + 4(3) = 5

-x + 12 = 5

-x = 5 - 12

-x = -7

x = 7

Hence the solution to the systems of equations is (7, 3)

Learn more on simultaneous equations here: brainly.com/question/148035

4 0
2 years ago
25 out of 27 as a percentage
Basile [38]
25/27 = 0.925925925...

It's almost equal to 1 and it turns out that 1 is 100%.

So, we'd say that it's equal to:

92.59% (to 2 decimal places)

We've multiplied the value above (25/27) by 100.
8 0
3 years ago
Read 2 more answers
Find the length of the arc and express your answer as a fraction times pie
Elina [12.6K]

Solution:

Given a circle of center, A with radius, r (AB) = 6 units

Where, the area, A, of the shaded sector, ABC, is 9π

To find the length of the arc, firstly we will find the measure of the angle subtended by the sector.

To find the area, A, of a sector, the formula is

\begin{gathered} A=\frac{\theta}{360\degree}\times\pi r^2 \\ Where\text{ r}=AB=6\text{ units} \\ A=9\pi\text{ square units} \end{gathered}

Substitute the values of the variables into the formula above to find the angle, θ, subtended by the sector.

\begin{gathered} 9\pi=\frac{\theta}{360\degree}\times\pi\times6^2 \\ Crossmultiply \\ 9\pi\times360=36\pi\times\theta \\ 3240\pi=36\pi\theta \\ Divide\text{ both sides by 36}\pi \\ \frac{3240\pi}{36\pi}=\frac{36\pi\theta}{36\pi} \\ 90\degree=\theta \\ \theta=90\degree \end{gathered}

To find the length of the arc, s, the formula is

\begin{gathered} s=\frac{\theta}{360\degree}\times2\pi r \\ Where \\ \theta=90\degree \\ r=6\text{ units} \end{gathered}

Substitute the variables into the formula to find the length of an arc, s above

\begin{gathered} s=\frac{\theta}{360}\times2\pi r \\ s=\frac{90\degree}{360\degree}\times2\times\pi\times6 \\ s=\frac{12\pi}{4}=3\pi\text{ units} \\ s=3\pi\text{ units} \end{gathered}

Hence, the length of the arc, s, is 3π units.

4 0
1 year ago
7(x+5)=-7(x+5) solving equations with variable on both sides​
sergij07 [2.7K]

Answer:

Step-by-step explanation:

7x+5=7x+5

-7x. -7x

Answer is 5=5

3 0
3 years ago
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