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Alexxandr [17]
2 years ago
7

. The ratio of three angles of a triangle is 1:2:3. Find the measurement ofthe angles.​

Mathematics
1 answer:
nydimaria [60]2 years ago
5 0

Answer:

Step-by-step explanation:

Sum of angles in a Δ= 180°

x + 2x +3x = 180

6x= 180

Divide both sides by 6

x=30

sooo x= 1×30= 30,   2x= 2×30= 60,   3x=3×30= 90

since 30+60+90= 180

∴the angles are 30°,60° and 90° respectively

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3 years ago
13. Find the vertex of f(x)=x2 -6x +8 .
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Answer:

  a  (3,-1)

Step-by-step explanation:

The number that "completes the square" is the square of half the x-coefficient, (-6/2)^2 = 9. Rearranging the given function to include the square trinomial, we have ...

  f(x) = x^2 -6x +9 -1 . . . . . . . here, we have 8 = 9 - 1

  f(x) = (x -3)^2 -1 . . . . . . . . . . vertex form

Comparing this to the generic vertex form ...

  f(x) = (x -h)^2 +k . . . . . . . vertex at (h, k)

we see that h=3 and k=-1.

The vertex is (h, k) = (3, -1).

6 0
2 years ago
If f(x) = x ^ 2 is vertically compressed by a factor of 9 to g(x) , what is the equation of g(x) ?
Maslowich

Answer:

g(x) = \frac{1}{9} \,x^2 which agrees with option A in the list of possible answers

Step-by-step explanation:

A vertical compression by a factor 9 is represented by the transformation:

\frac{1}{9} \,f(x) = \frac{1}{9} \,x^2

Therefore the answer to the problem is:

g(x) = \frac{1}{9} \,x^2

6 0
3 years ago
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3 years ago
Read 2 more answers
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