3/4x + 5 - 1/2x = 3
3/4x - 1/2x = 3 - 5
3/4x - 2/4x = -2
1/4x = -2
x = -2 / (1/4)
x = -2 * 4/1
x = -8 <==
The equation in point slope form is y-1 = 1/4(x - 12)
<h3>Equation of a line</h3>
The formula for calculating the equation of a line is expressed as;
y = mx + b
m is the slope
b is the intercept
Slope = 1+3/12+4
Slope = 4/16
Slope = 1/4
For the intercept
1 = 1/4(12) + b
b = 1 - 3
b = -2
Hence the equation in point slope form is y-1 = 1/4(x - 12)
Learn more on equation of a line here: brainly.com/question/18831322
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Answer:
3^5
Step-by-step explanation:
It can be helpful to remember that <em>an exponent signifies repeated multiplication</em>.
The product in the numerator has 4 factors of 3 multiplied by 5 more factors of 3, for a total of 9 factors of 3.
The product in the denominator has 2 factors of 3 multiplied by 2 more factors of 3, for a total of 4 factors of 3.
The 4 factors of 3 in the denominator cancel 4 of the 9 factors of 3 in the numerator, leaving a value of 5 factors of 3.
The value of the expression is 3^5.
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In terms of rules of exponents, the value is ...
(3^4)(3^5)/((3^2)(3^2))
= 3^(4+5)/3^(2+2)
= 3^9/3^4
= 3^(9-4) = 3^5
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Those rules are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
Check the picture below.
so we have two parallel lines, notice, the 115° are corresponding angles and thus equal, the 65° and 55° angles are linear angles to 115° and 125° respectively.
that leaves us with a triangle with 65° and 55°, and since all interior angles in a triangle sum up to 180°, then the last angle must be 60°, which has a twin vertical angle across the junction.
since a full revolution or a full circle go-around is 360°, the other two twin vertical angles next to the green 60° angles must be 360° - 60° - 60° = 240°, and since they're twins, each takes half of 240°.