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PolarNik [594]
3 years ago
11

What is the vertex of the graph of y = 3x2 + 2x + 1?

Mathematics
2 answers:
Effectus [21]3 years ago
8 0
We have that
y = 3x²<span>+ 2x + 1

step 1
</span>

Group terms that contain the same variable, and move the constant to the opposite side of the equation

y -1= (3x²+ 2x)

step 2

Factor the leading coefficient

y -1= 3*(x²+ 2/3x)

step 3

Complete the square. Remember to balance the equation by adding the same constants to each side

y -1+(1/3)= 3*(x²+ (2/3)x+(4/36))

y-2/3=3*(x+2/6)²

the vertex is the point (-2/6, 2/3)------> (-0.33,0.67)

the answer is

(-0.33,0.67)

Drupady [299]3 years ago
4 0

Answer:

B (-1/3,2/3)

Step-by-step explanation:

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The fraction 2/5 is equivalent to 0.4 and 2 40%. Write 0.4 and 40% as unreduced fractions.
Bezzdna [24]
0.4 = 4/10
40% = 40/100
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3 years ago
If a triangle has sides 4, 6 and 10 and a 2nd similar triangle has a perimeter of 60, find the 2nd largest side of the 2nd trian
algol13
The first triangle has a perimeter of 4+6+10 = 20.

The 2nd longest side is 6/20 = 3/10 of the perimeter. In the larger triangle, the 2nd longest side will have length (3/10)*60 = 18.


_____
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8 0
3 years ago
2) What is the length of BD and BC in the diagram below?
babunello [35]

Answer:

BC is 10 unit

BD is 15 units

Step-by-step explanation:

Here, given the end points of the line segments, we want to calculate BD and DC

Mathematically, the distance between two points can be calculated using the formula;

D = √(x2-x1)^2 + (y2-y1)^2

For BD, we have the following

D = √(14-5)^2 + (14-2)^2

D = √(9)^2 + 12^2

D = √81 + 144

D = √(225)

Distance BD is 15 units

For BC, we have the following

D = √(11-5)^2 + (10-2)^2

D = √(6)^2 + 8^2

D = √100

D = 10

4 0
3 years ago
X3 = 125<br> What is the anwser
asambeis [7]
41.67x3=125 hope it helps
4 0
3 years ago
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Which expression is equivalent to square root 100?
Oliga [24]
The square root of 100 is 10. You Can test this by multiplying 10x10 
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3 years ago
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