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Ray Of Light [21]
3 years ago
14

What is the solution of y − 4x = 0 and 3x + 6y = 9?

Mathematics
1 answer:
Elden [556K]3 years ago
4 0
You solve this by plugging one equation into the other. Usually you have to rewrite one equation to make this work. In this case I choose to rewrite y-4x=0 as y=4x.

After plugging it into the second, you get:

3x + 6*4x = 9 => 27x = 9 => x=1/3

Putting this solution back into y=4x gives us y=4/3
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Determine the number of diagonal of a dodecagon?
Katen [24]
Use this pattern to predict the number of diagonals in a dodecagon (12-sided polygon). First create a triangle. Since you are looking for diagonals you must go from vertex to vertex, but they cannot be adjacent to each other. Therefore a triangle has no diagonals.
5 0
3 years ago
Which translation maps the vertex of the graph of the function f(x) = x2 onto the vertex of the function g(x) = x2 + 2x +1?
Alika [10]
X^2  2x + 1 = (x + 1)^2

x is replaced by x + 1
the translation is 1 unit to the left
3 0
3 years ago
I just need one and 2
PolarNik [594]

1) 3+2x and 4-5x ; they want the sum so ..... (3+2x)+(4-5x) .... 3+2x+4-5x ..... = -3x+7

This answer helps us figure out the sum of the complex numbers because the "i" and "x" are just simply variables so the same simplification would apply.


2) 1-3x and 2+x ; They want us to find the product or multiplication of these two binomials: (1-3x)(2+x) ... To achieve this we use the FOIL method. We get:

2+x-6x-3x^2 ... = (-3x)^2 -5x+2.

The same reasoning applies just like number 1.

6 0
3 years ago
You use 4 gallons of water on 30 plants. At that rate how much water will you need for 45 plants?
Alja [10]
You would use 6 gallons of water to water 45 plants 
4=30  
\frac{45}{30}=\frac{3}{2}
\frac{3}{2}of 4 gallons = 6 gallons
8 0
4 years ago
Read 2 more answers
Find the value of x<br> Use sin, cos, or tan
Shalnov [3]

Answer:

58.896º

Step-by-step explanation:

In this problem, we are given the angle 23º, as well as it's opposite and adjacent sides as 25 and <em>x</em> respectively.

According to SOHCAH<u>TOA</u>, we should use <em>t</em><em>an</em> to solve for <em>x</em>, because we already know the opposite and adjacent sides. Let's set up the equation:

\tan=\frac{opposite}{adjacent} \\\\\tan(23\textdegree)=\frac{25}{x} \\\\x=\frac{25}{\tan(23\textdegree)}\\\\x \approx 58.896\textdegree

<em>I hope this helps! Let me know if you have any questions :)</em>

5 0
3 years ago
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