Answer:
Step-by-step explanation:
1) Simplify 1/3 ( x - 10) to x-10/3.
2) Multiply both sides by 3.
Simplify 4 × 3 to 12.
4) Add 10 to both sides.
5) Simplify -12 + 10 to -2.
So, therefor, the answer is, x = -2.
Answer:
y-6=-1/3(x+6)
Step-by-step explanation:
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(3-6)/(3-(-6))
m=-3/(3+6)
m=-3/9
simplify
m=-1/3
y-6=-1/3(x-(-6))
y-6=-1/3(x+6)
Answer:
The answer to your question is 14° and 76°
Step-by-step explanation:
Data
leg 1 = x
leg 2 = x/4
angle 1 = ?
angle 2 = ?
Process
To solve problem use trigonometric functions. We must use the trigonometric function that relates both legs (tangent).
tangent Ф = Opposite side / Adjacent side
-Substitution
tan Ф = (x/4) / x
-Simplification
tan Ф = x / 4x
tan Ф = 1/4
- Find Ф
Ф = tan⁻¹(1/4) = 14°
- Find the other acute angle
The sum of the internal angles in a triangles equals 180°
Ф + Ф₁ + 90° = 180
-Solve for Ф₁
Ф₁ = 180 - 90 - 14
-Result
Ф₁ = 76°
1) if they're both 1:
1 x 1 = 1: they preoduct is equal to both factors!
2) if one of them is negative (but not 2!)
for example: -2 and 6: the product is -12, and it's less than both -2 and 6!!!
Above step we use "Multiplication property of equality"
In the above step we "Simplify on both sides of equation"
In the above step we use "Distribution property"
The above step is the result of using "Subtraction property of equality"
Above step is result of "Combining the like terms"
Above step is the result of using "Division property of equality"
Above step is result of "Simplifying fractions on either side of equation"
