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WITCHER [35]
3 years ago
12

What value of c makes the polynomial below a perfect square?

Mathematics
2 answers:
schepotkina [342]3 years ago
7 0
81/4
Because I found the answer by using a Calculator I found online
malfutka [58]3 years ago
6 0

Answer:

B

Step-by-step explanation:

x² + 9x

to complete the square

add ( half the coefficient of the x- term )² to x² + 9x

= x² + 2(\frac{9}{2} )x + (\frac{9}{2} )²

= x² + 9x + \frac{81}{4} ← the value of c

= (x + \frac{9}{2} )² ← a perfect square

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2 years ago
Someone help me please?! Math problem!!!
Gala2k [10]

Answer:

y  = 4/5x  - 9/5

Step-by-step explanation:

4x - 5y = 9  to solve for y you get it by itself.

-4x          -4x   minus 4x from both sides

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5 0
3 years ago
The picture shows
mixer [17]

Answers:  

  • a)   693 sq cm   (approximate)
  • b)   48 sq cm   (exact)

============================================================

Explanation:

Part (a)

A regular triangular pyramid, aka regular tetrahedron, has all four triangles that are identical copies of one another. They are congruent triangles. This will apply to part (b) as well.

To find the area of one of the triangles, we'll use the formula

A = 0.25*sqrt(3)*x^2

where x is the side length. This formula applies to equilateral triangles only.

In this case, x = 20, so

A = 0.25*sqrt(3)*x^2

A = 0.25*sqrt(3)*20^2

A = 173.20508 approximately

That's the area of one triangle, but there are four total, so the entire area is about 4*173.20508 = 692.82032 which rounds to 693 sq cm.

The units "sq cm" can be written as "cm^2".

----------------------------

Part (b)

We'll use the same idea as part (a). But the formula to find the area of one triangle is much simpler.

The area of one of the triangles is A = 0.5*base*height = 0.5*6*4 = 12 sq cm.

So the area of all four triangles combined is 4*12 = 48 sq cm

This area is exact.

The area of each 2D flat net corresponds exactly to the surface area of each 3D pyramid. This is because we can cut the figure out and fold along the lines to form the 3D shapes.

7 0
3 years ago
Kevin rode 24 km in 2 hours. At that rate, how long would it take him to ride 120 km?
liberstina [14]
24/2=12 so you would do 120/12 and get 10. Your answer is 10 hours.
6 0
3 years ago
Zoe and Hannah share tips in the ratio 3 : 7
____ [38]

Answer:

£ 56

Step-by-step explanation:

3 : 7  

Zoe - 24

3x8 = 24

7 x 8 = 56

Hannah received 56.

4 0
3 years ago
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