Applying the triangle sum theorem, we have:
First angle measure = 35°
Second angle = 70°
Third angle = 75°
<h3>What is the Triangle Sum Theorem?</h3>
According to the triangle sum theorem, all angles in a triangle will give a sum of 180 degrees.
First angle measure = x
Second angle = 2x
Third angle = (2x + x) - 30 = 3x - 30
x + 2x + 3x - 30 = 180 [triangle sum theorem]
6x - 30 = 180
6x = 180 + 30
6x = 210
x = 210/6
x = 35
First angle measure = x = 35°
Second angle = 2x = 2(35) = 70°
Third angle = 3x - 30 = 3(35) - 30 = 75°
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Answer:
Step-by-step explanation:
Our function is : 3x²-3x-1
- 3x²-3x+2=2
- 3x²-3x-1+3=2
- 3x²-3x-1= -1
- the number that gives us -1 is 1 (from the graph)
so x is 1
- 3x²-3x-1= x+1 ⇒3x²-4x-2 = 0
- Δ(the dicriminant)= (-4)²-4*3*(-2)= 16+24 =40
- two solution x and y
- x= (4-√40)/6 and y= (4+√40)/6
- x= -0.38 and y = 1.7
- so the estimations are -0.38 and 1.7
You subtract and devide i beleve. hope iu helped sorry if wrong.
Answer:
D
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
To obtain this form using the method of completing the square.
Given
f(x) = 3x² - 24x + 10
We require the coefficient of the x² term to be 1 , thus factor out 3
3(x² - 8x) + 10
To complete the square
add/subtract ( half the coefficient of the x- term )² to x² - 8x
= 3(x² + 2(- 4)x + 16 - 16) + 10
= 3(x - 4)² + (3 × - 16) + 10
= 3(x - 4)² - 48 + 10
= 3(x - 4)² - 38, thus
f(x) = 3(x - 4)² - 38 ← in vertex form
False; consider as a counterexample the function <em>f</em> : ℝ→ℝ defined by
Clearly <em>f</em> approaches -3 as <em>x</em> gets closer to -2, but neither limit from either side is equal to the function's value at <em>x</em> = 2 (that is, -3 ≠ 0), so <em>f</em> is not continuous.
