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Nonamiya [84]
3 years ago
8

Write an equation in slope-intercept form for the line with slope

TexFormula1" title="\frac-{2}{3}" alt="\frac-{2}{3}" align="absmiddle" class="latex-formula"> and
y-intercept 4
.
Mathematics
2 answers:
AlexFokin [52]3 years ago
5 0

y = -2/3x + 4

The standard form for slope intercept is:

y = mx + b

m = slope

So plug your slope in m

b = y-intercept

So plug your y - intercept in b

satela [25.4K]3 years ago
3 0

slope intercept form is y=mx+b where m is the slope and b is the y intercept


given that the slope is -2/3 and the y intercept is 4

m=-2/3 and b=4

y=\frac{-2}{3}x+4 is the equation

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Help and explain pls
Delvig [45]
Answer:

Let’s rewrite both expressions first

y=3/2x+3

-3x+2y=6

The first expression is already plotted on the graph, so we only need to work on the second one.

Let’s turn the second equation into slope-intercept form. We can later use this to graph.

-3x+2y=6

*add 3x on both sides*

-3x+2y=6
+3x +3x
__________
2y=3x+6

*divide each number by 2*

2y=3x+6

2y/2=3x/2+6/2

y=3/2x+3

Since this is the same equation as the one graphed, it means there are an infinite number of solutions. If one were to graph this, the points would be the same as the original.

Hope this helps comment below for more questions :)
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Solve the triangle. Round side measure to the nearest tenth and angle measures to the nearest degree.
shutvik [7]
First calculate the missing angle \alpha. By knowing all angles in triangle have a sum of 180°.

\alpha=180-(\gamma+\beta)
\alpha=180-(90+49)=\boxed{41}

Now we required to use angle functions in a right triangle. The cosine of \beta is equal to the relation of side a and hypotenuse c.

Now we solve this for hypotenuse.

\cos(\beta)=\frac{a}{c}

c=\frac{a}{\cos(\beta)}

Now put in the numbers.

c=\frac{9}{\cos(49)}\approx\boxed{13.7}

So we know the length of hypotenuse and length of side a therefore side b can be calculated using Pythagorean theorem: c^2=a^2+b^2.

Solve for side b.

c^2=a^2+b^2

b=\sqrt{c^2-a^2}

b=\sqrt{13.7^2-9^2}\approx\boxed{9.7}

So there you go. If you have any questions feel free to ask.

r3t40
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elena-14-01-66 [18.8K]

Answer:

x = 4

Step-by-step explanation:

6^5x-4=6^4x

6^ (5x-4) = 6^ (4x)

Dividing through by 6

5x - 4 = 4x

Collecting Like Terms

5x - 4x = 4

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svetoff [14.1K]
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Read 2 more answers
If varies inversely as . It is known that = 10 when = 3, find the value of when = 5.
Leto [7]

Answer:

y = 6

Step-by-step explanation:

If x varies inversely proportional as y.

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or

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k = 3×10

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Put x = 5,

y=\dfrac{k}{x}\\\\y=\dfrac{30}{5}\\\\y=6

So, the value of y is 6 when x is 5.

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