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nikitadnepr [17]
3 years ago
9

What is the axis of symmetry for the following equation? y=4x2-8x+9

Mathematics
1 answer:
Molodets [167]3 years ago
6 0

Answer:x=1

Step-by-step explanation:

The x of the top of the parabola is:

x=-(-8)/(2*4)=1

x=1

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Find the area of the trapezoid. helppppopop thank you
Arada [10]

Answer:

\frac{4}{3}\:\mathrm{cm^2}

Step-by-step explanation:

The area of a trapezoid can be found by multiplying the average of its bases and its height.

We're given:

  • One base of 4 cm
  • One base of 12 cm
  • Height of 1/6 cm

To find the average of a set of n values, add all the values in the set and divide by n. Therefore, to find the average of the two bases, we add 4 to 12 and divide by 2.

The average of the bases is therefore \frac{4+12}{2}=\frac{16}{2}=8

Thus, the area of the trapezoid is 8\cdot \frac{1}{6}=\frac{8}{6}=\boxed{\frac{4}{3}\:\mathrm{cm^2}}

6 0
3 years ago
28 cm<br> 45 cm<br> What is the length of the hypotenuse?
maksim [4K]

Answer:

53 cm

Step-by-step explanation:

Using Pythagoras Theorem,

The hypotenuse

=  \sqrt{ {28}^{2}  +  {45}^{2} }

=  \sqrt{2809}

= 53 cm

8 0
3 years ago
Read 2 more answers
What is the nearest perimeter of rectangle ABCD, to the nearest tenth?
Snowcat [4.5K]

Answer:  B

Step-by-step explanation:

Perimeter = 2(length+width)

 'CD' = 20×cos(30) = 17.3205

width 'AD' = 20×cos(60) = 10

Perimeter = 2(17.3205+10)

= 2(27.3205)

= 54.641 =54.6

5 0
3 years ago
A store advertises a sale that all items are marked down 30% or more. A life jacket is marked down from $68 to a sale price of $
shtirl [24]

Answer:

  yes, the discount is more than 30%

Step-by-step explanation:

The price change percentage is ...

  %change = ((new price)/(old price) -1) × 100%

  = (44.20/68 -1)  × 100%

  = -0.35  × 100% = -35%

The jacket was marked down 35%, so matches the ad description.

6 0
4 years ago
Solve.<br> p/4 + 8 = 7<br><br> p= what?
zysi [14]

Answer:

\huge\boxed{\bf\: p = -4}

Step-by-step explanation:

p/4 + 8 = 7

Bring 8 to the left side of the equation.

p/4 = 7 - 8

p/4 = - 1

Bring 4 to the other side.

p = - 1 * 4

p = - 4

\rule{150pt}{2pt}

6 0
2 years ago
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