Slope-intercept form is y = mx + b.
In this form, m is slope and b is y-intercept.
Slope is rise over run. The formula for this is (y2-y1)/(x2-x1).
Y-intercept is the value of y when x is equal to 0.
1. Slope = 8 ; Y-intercept = 0
y = mx + b
m = 8 ; b = 0
y = 8x + 0
y = 8x
2. Slope = 1 ; Y-intercept = 2
y = mx + b
m = 1 ; b = 2
y = 1x + 2
y = x + 2
The answer to #1 is y = 8x.
The answer to #2 is y = x + 2.
Hope this helps!
Based on the given parameters, the length of c is 8.0 units
<h3>How to determine the side length of c?</h3>
The given parameters are
Angle c = 76 degrees
Side a = 20
Side b = 13
The length of c is then calculated using the following law of sines
c^2 = a^2 + b^2 - 2absin(C)
Substitute the known values in the above equation
So, we have
c^2 = 20^2 + 13^2 - 2 * 20 * 13 * sin(76)
Express 20^2 as 400
c^2 = 400 + 13^2 - 2 * 20 * 13 * sin(76)
Express 13^2 as 169
c^2 = 400 + 169 - 2 * 20 * 13 * sin(76)
Evaluate the product and sin(76)
c^2 = 400 + 169 - 520 * 0.9703
Evaluate the product
c^2 = 400 + 169 - 504.55
Evaluate the exponents
c^2 = 400 + 169 - 504.55
So, we have
c^2 = 64.45
Evaluate the square root
c = 8.0
Hence, the length of c is 8.0 units
Read more about law of sines at:
brainly.com/question/16955971
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Answer:
10
Step by step explanation:
In general, if we have an equation that has just one variable, such as x, then "solving the equation" means finding the set of all values that can be substituted for the one variable to produce a valid equation.
Isolate "x" on one side of the algebraic equation by adding the negative number that appears on the same side of the equation as the "x." For example, in the equation "x - 5 = 12", rewrite the equation as "x = 12 + 5" and solve for "x."
x + (-6) + (-8) = -4
x + (-6 + -8) = -4
x + (-14) = -4
x + (-14 + 14) = -4 + 14
x = 10
1/2.
divide everything by 9.
