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miss Akunina [59]
4 years ago
5

Solve the system of equations by graphing 4x-5y=20

Mathematics
2 answers:
borishaifa [10]4 years ago
5 0
Here is your graph of the system. Where they cross is the answer, which is -4. Pretty much you have to graph each equation and where they meet is the answer.

Ede4ka [16]4 years ago
4 0
And doing some vandalizing to the posted image by MathJot, check the picture below.

\bf \begin{cases}
4x-5y=20\\
3x+y=-4
\end{cases}\\\\
-------------------------------\\\\
4x-5y=20\implies 4x-20=5y\implies \cfrac{4x-20}{5}=y\\\\\\ \boxed{\cfrac{4x}{5}-4=y}
\\\\\\
3x+y=-4\implies \boxed{y=-4-3x}

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There are no solutions to the system of inequalities shown below y<-2x+7, y>3x+1 true or false
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In physics, Boyle’s law states that if the temperature is constant, then the pressure, P, of a gas is inversely proportional to
VMariaS [17]

The constant of proportionality for this situation is 425

Step-by-step explanation:

When a quantity is inversely proportional with another quantity, then

the product of the two quantities is constant

1. If y is inversely proportional with x

2. Then y ∝ \frac{1}{x}

3. that mean y = \frac{k}{x} where k is the constant of variation

4. Then xy = k

∵ In physics, Boyle’s law states that if the temperature is constant

∵ The pressure, P, of a gas is inversely proportional to the volume,

   V, of the gas

∴ P ∝ \frac{1}{V}

∴ P = \frac{k}{V}

∵ The pressure of the gas in a cylinder is equal to 250 kilo pascals

∵ The volume of the container is 1.7 cubic meters

- Substitute these values in the rule of variation to find k

∴ 250 = \frac{k}{1.7}

- Multiply both sides by 1.7

∴ k = 425

The constant of proportionality for this situation is 425

Learn more:

You can learn more about proportion in brainly.com/question/10708697

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4 0
3 years ago
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Precal : Note: Triangle may not be drawn to scale. Suppose a = 3 and A = 15 degrees
drek231 [11]

Given:

In a right triangle at B,

\begin{gathered} a=3 \\ A=15^{\circ} \end{gathered}

To find:

The length of the sides b and c and angle B.

Explanation:

Using the trigonometric ratio,

\begin{gathered} sinA=\frac{a}{c} \\ \sin15^{\circ}=\frac{3}{c} \\ c=\frac{3}{\sin15^{\circ}} \\ c=11.59 \\ c\approx11.6 \end{gathered}

Using the trigonometric ratio,

\begin{gathered} \tan A=\frac{a}{b} \\ \tan15^{\circ}=\frac{3}{b} \\ b=\frac{3}{\tan15^{\circ}} \\ b=11.19 \\ b\approx11.2 \end{gathered}

Using the angle sum property,

The angle B becomes,

\begin{gathered} 90+15+B=180 \\ B=180-90-15 \\ B=75^{\circ} \end{gathered}

Final answer:

The values are,

\begin{gathered} b=11.2 \\ c=11.6 \\ B=75^{\circ} \end{gathered}

3 0
1 year ago
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