Y= 2x+4, because when you plug in x and y you then solve for b and get 4. The 2x is the same because the slope stays the same on parallel lines.
Hi
2/3 y+y-4=31
Simplify both sides of the equation
2/3 y-4=31
Combine like terms
(2/3 y+y)+(-4)=31
5/3 y-4=31
Add 4 to both sides
5/3 y-4+4=31+4
5/3 y=35
Multiply both sides 3/5
(3/5)*(5/3 y)=(3/5)*35
y=21
I hope that's help !
Answer:
B. Graph 2 represents a proportional relationship, but graph 1 does not.
Step-by-step explanation:
All proportional relationships pass through the origin. Graph 2 does but Graph 1 does not. Additionaly, Graph 2 is a straight line that represents a proportional relationship. Another way to find out if it is proportional is to find the constant of proportionality by dividing the y by the x in different parts of the line. The numbers should all have the same constant of proportionality.
Examples (all found in Graph 2):
15/3 = 5
10/2 = 5
5/1 = 5
Step-by-step explanation:
The value of sin(2x) is \sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−
8
15
How to determine the value of sin(2x)
The cosine ratio is given as:
\cos(x) = -\frac 14cos(x)=−
4
1
Calculate sine(x) using the following identity equation
\sin^2(x) + \cos^2(x) = 1sin
2
(x)+cos
2
(x)=1
So we have:
\sin^2(x) + (1/4)^2 = 1sin
2
(x)+(1/4)
2
=1
\sin^2(x) + 1/16= 1sin
2
(x)+1/16=1
Subtract 1/16 from both sides
\sin^2(x) = 15/16sin
2
(x)=15/16
Take the square root of both sides
\sin(x) = \pm \sqrt{15/16
Given that
tan(x) < 0
It means that:
sin(x) < 0
So, we have:
\sin(x) = -\sqrt{15/16
Simplify
\sin(x) = \sqrt{15}/4sin(x)=
15
/4
sin(2x) is then calculated as:
\sin(2x) = 2\sin(x)\cos(x)sin(2x)=2sin(x)cos(x)
So, we have:
\sin(2x) = -2 * \frac{\sqrt{15}}{4} * \frac 14sin(2x)=−2∗
4
15
∗
4
1
This gives
\sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−
8
15
An integer is a rational number; 1/2 is a rational ratio with a denominator of 1; 0.4545 is a rational decimal; 0.44 is a irrational decimal and 0 is a rational whole numbers.
<h3>What is the difference between a rational and a irrational number?</h3>
The category irrational number can be applied to numbers that cannot be expresses as ratios or fractions. This includes decimals that do not terminate and are not repeating such as 0.44454...
<h3>On the other hand, rational numbers will include different types of numbers such as:</h3>
Integers: This refers to numbers that are not expressed as fractions.
Rational decimals: This includes repeating decimals such as 0.4545...
Rational ratios: This includes numbers such as 1/2 or 1/4.
Rational whole numbers such as 0,1,2, etc.
Learn more about rational numbers in: brainly.com/question/17450097
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