Use SOHCAHTOA to find the side measure. Show work. Round to one decimal place.
1 answer:
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Answer:
see explanation
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
(a)
here m = - and c = 6, hence
y = - x + 6 ← equation of line
(b)
here m = 6, hence
y = 6x + c ← is the partial equation
to find c substitute (2, - 6 ) into the partial equation
- 6 = 12 + c ⇒ c = - 6 - 12 = - 18
y = 6x - 18 ← equation of line
(c)
to calculate m use the gradient formula
m = ( y₂ - y₁ ) / ( x₂ - x₁ )
with (x₁, y₁ ) = (- 1, 3) and (x₂, y₂ ) = (4, 7)
m = =
, hence
y = x + c ← is the partial equation
to find c substitute either of the 2 points into the partial equation
using (- 1, 3 ), then
3 = - + c → c = 3 +
=
y = x +
← equation of line
Answer:
Step-by-step explanation:
Given system of equations in the question are,
-3x + y = -6
y =
We can rewrite these equation as,
-3x + y = -6
y = 3x - 6 ------(1)
Table of input-output values for this equation will be,
x 0 1 2 3 4
y -6 -3 0 3 6
y = ------(2)
Table for this equation will be
x 0 2 4 6 8
y -1 0 1 2 3
By plotting these points on the graph we find (2, 0) is a common point in both the tables,
Therefore, (2, 0) is the only one solution of the given system of equations.