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Vsevolod [243]
3 years ago
14

How do you find the vertex and the axis of symmetry of the equation? y = 2x^2 + 28x - 10

Mathematics
2 answers:
Maurinko [17]3 years ago
8 0

Answer:

-7±3√6

Step-by-step explanation:

Digiron [165]3 years ago
5 0

Answer:

By completing the square and rewrite equation in the form of

y = a{(x   -  p)}^{2}  + q

Where the vertex is (p, q)

axis of symmetry is x=p

Step-by-step explanation:

The solution is in the picture

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Answer:

x= -4.44

Step-by-step explanation:

4 0
3 years ago
Find the distance UV between the points U(4,−2) and V(6,−1). Round your answer to the nearest tenth, if necessary.
Liono4ka [1.6K]

The horizontal distance is the difference of x-coordinates: 6 - 4 = 2.

The vertical distance is the difference of y-coordinates: -1 - (-2) = 1.

The straight-line distance (d) can be found using the Pythagorean theorem, since the vertical and horizontal distances are at right angles to each other.

.. d² = 2² + 1² = 5

.. d = √5 ≈ 2.2

The distance UV is about 2.2.

8 0
3 years ago
What is the value of x if e3x+6=8
goldfiish [28.3K]

Answer:

x = 1/3 ln(2)

Step-by-step explanation:

e^(3x)+6=8

Subtract 6 from each side

e^(3x)+6-6=8-6

e^(3x) = 2

Take the natural log of each side

ln (e ^3x) = ln (2)

3x = ln(2)

Divide by 3

3x/3 = 1/3 ln(2)

x = 1/3 ln(2)

4 0
3 years ago
Read 2 more answers
What is 45.67 in expanded form? 40+5+0.6+0.07 or 40+0.5+0.06+0.007 or 40+5+0.6+0.007 or 4+5+0.06+0.007?
polet [3.4K]
It's right .
40+5+0.6+0.07

8 0
3 years ago
2\%2%2, percent of the students at Hamilton Middle School have red hair. There are 700700700 students at Hamilton Middle School.
Andrew [12]

Answer:

<u>14 students</u> at Hamilton Middle School have red hair.

Step-by-step explanation:

Given:

2%, percent of the students at Hamilton Middle School have red hair.

There are 700 students at Hamilton Middle School.

Now, to find the number of students at Hamilton Middle School having red hair.

Total number of students = 700.

Percent of the students at Hamilton Middle School have red hair = 2%.

Now, to get the number of students at Hamilton Middle School having red hair:

2\%\ of\ 700\\\\=\frac{2}{100} \times 700\\\\=0.02\times 700\\\\=14.

Therefore, 14 students at Hamilton Middle School have red hair.

3 0
3 years ago
Read 2 more answers
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