What are the coordinates to y equals -2
1 answer:
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Simple form of equation 3x – 5 + 23x – 9 =<u> 26x-14</u>
<h3>Further Explanation </h3>Linear Equation in One Variable is an equation that has a variable and the exponent number is one.
Can be stated in the form:
or
ax + b = c, where a, b, and c are constants, x is a variable
Whereas Linear Equation in two Variable is a linear equation that has 2 variables and the exponent is one
Can be stated in the form:
x, y = variable
There are several ways to solve an equation
• Add / Subtract / divide / multiply the same value on both sides
• Combine like terms
• Factoring
• Expanding
Like terms are terms whose variables and their exponents are the same.
You can combine and add terms
The algebraic form of 3x - 5 + 23x - 9 is a Linear Equation in One Variable, can be simplified:
• 1. Combine like terms
(3x + 23x) + (-5 - 9)
• 2. Add like terms:
26x -14
<h3>Learn more </h3>an algebraic expression
Using 3 different methods, we can find that YZ = 25m
The complete image of a triangle is attached with the answer below.
<h3>What is trigonometry?</h3>The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle is termed trigonometry.
For a given triangle rectangle with a known angle θ and a hypotenuse H, we can write the trigonometric relations
sin(θ) = (opposite cathetus)/H
cos(θ) =(adjacent cathetus)/H
tan(θ) =(opposite cathetus)/(adjacent cathetus)
Now, in the given image we can see that:
θ = 30°
H = 50m
XY = adjacent cathetus
YZ = opposite cathetus.
We want to find YZ, so with the known things, we can use the first relation:
Sin 30 = YZ / 50
YZ = 50 x Sin30 = 25 meters
Now let's try another way.
We know that the sum of the internal angles of a triangle is always equal to 180°
In a triangle rectangle, we always have an angle equal to 90°.
Then the missing angle for our triangle can be computed from:
Z + 90° + 30° = 180°
Z = 180° - 90° - 30° = 60°
From this angle, the side YZ is the adjacent cathetus, then we can use the second trigonometric relation:
Cos 60 = YZ / 50
YZ = 50 x Cos 60 = 25 meters
Third way.
Whit the same angle we could find the side XY, the opposite cathetus, with:
Sin 60 = XY / 50
XY = 50Sin 60 = 43.3 meters
Now that we know one of the catheti, we can use the last trigonometric relation
tan 60 = XZ / YZ = 43.3 / YZ
YZ = 43.3 / tan 60 = 25 meters
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