No. An obtuse triangle can not be an equilateral triangle because for a triangle to be equilateral, all three sides have to be the same measure and the same degree of angle (60). Since, an obtuse triangle has an angle greater than 90, the other two sides could be equal, but then you would have an obtuse isosceles triangle, not an equiangular equilateral triangle. Therefore, the obtuse angle in the obtuse triangle will limit the triangle from being an equilateral triangle.
<h2>
Answer: y = ⁶/₇ ( x - 7 )</h2>
Step-by-step explanation:
The slope of tghe line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (- 6 -0) ÷ ( 0 - 7)
= ⁶/₇
We can now use the point-slope form to write the equation for this line:
y - y₁ = m(x - x₁) where (x₁ , y₁) = (7 , 0)
y = ⁶/₇ ( x - 7 )
Answer:
<h2>
f⁻¹(x) = ∛(x+1)</h2>
Step-by-step explanation:
Given the encoded message defined by the function f(x) = x³-1, the inverse function that the decoder would need when the message is received can be expressed as thus:
let the inverse of the function be represented as y such that y = x³-1.
Making x the subject of the formula from the equation above;
x³ = y+1
Taking the cube root of both sides:
∛x³ = ∛(y+1)
x = ∛(y+1)
replacing y with x:
y = ∛(x+1)
f⁻¹(x) = ∛(x+1)
The encoded message is the inverse function ∛(x+1)
Answer:
25
Step-by-step explanation:
j=14
c=2j-3
2(14)-3=28-3=25
