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Svet_ta [14]
4 years ago
11

Graph the linear equation -4y=-5x-18​

Mathematics
1 answer:
Kobotan [32]4 years ago
4 0

Answer:

The graph intersect the y-axis at (0,4.5)

The graph intersect the x-axis at (-3.6,0)

Step-by-step explanation:

The equation is;

-4y=-5x-18

Dived every term by -4

\frac{-4y}{-4} =\frac{-5x}{-4} -\frac{18}{-4} \\\\\\y=\frac{5}{4}x+\frac{9}{2}

plot using a graph tool to view the liner graph as below

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How do I go about solving (27x^3/8y^9)^5/3? And what is the role of the numerator and denominator?
MrRissso [65]
\left( \frac{27x^3}{8y^9}\right)^ \frac{5}{3}  \\\\\\ =\left( \frac{(3x)^3}{(2y^3)^3}\right)^ \frac{5}{3} \\\\\\ =  \frac{(3x)^{3 \times  \frac{5}{3} }}{(2y^3)^{3 \times  \frac{5}{3} }} \\\\\\ =\frac{(3x)^5}{(2y^3)^{5 }} \\\\\\ =\frac{243x^5}{32y^{15}}

Now, If the exponent was negative like you asked....

\left( \frac{27x^3}{8y^9}\right)^ {-\frac{5}{3}} \\\\\\ =\left( \frac{8y^9}{27x^3}\right)^ {\frac{5}{3}}\\\\\\ =\left( \frac{(2y^3)^3}{(3x)^3}\right)^ \frac{5}{3} \\\\\\ = \frac{(2y^3)^{3 \times \frac{5}{3} }}{(3x)^{3 \times \frac{5}{3} }} \\\\\\ =\frac{(2y^3)^{5 }}{(3x)^5} \\\\\\ =\frac{32y^{15}}{243x^5}

5 0
3 years ago
How many solutions does the equation 2(x-5)=2x+3
Stella [2.4K]
2(x-5)=2x+3
2x-10=2x+3
     2x=2x+13
     0x=13
       x=0
There are no solutions (13/0 is 0)
5 0
3 years ago
An airplane flies 2700 miles to Los Angeles to NYC. When the plane flies back to LA, is it flying in a negative direction? use a
dolphi86 [110]

Answer:

Distance = abs(-1700)

Distance = 1700 miles

Step-by-step explanation:

NYC is located East of Los Angels.

The Airplane flies from Los Angeles to the left direction from NYC.

Which is negative direction.

Therefore, distance = -1700

Here the distance cannot be negative even though if it flies in negative direction.

Therefore, we use the absolute value.

The absolute value of a number is always positive.

So, distace = abs( -1700)

Distance = 1700 miles.

Hope this will help you understand the concept.

Thank you.

5 0
4 years ago
Pleasee help I am being timed
zubka84 [21]

Answer:

A: 33.5

B: 24.5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Please help please please do
julia-pushkina [17]

Answer:

9/16 gallon

Step-by-step explanation:

You are given the ratio

... (3/16) gallon : (1/3) square foot

Multiply it by 3 (the inverse of 1/3).

... 3·(3/16) gallon : 3·(1/3) square foot

... 9/16 gallon : 1 square foot

5 0
4 years ago
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