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VARVARA [1.3K]
3 years ago
5

3. x2 - 6x + 9 = 0Are the real​

Mathematics
1 answer:
liberstina [14]3 years ago
8 0

Answer:

1 real solution: x=3

Step-by-step explanation:

By factoring:

x^2-6x+9=0

(x-3)^2=0

x-3=0

x=3

So yes there's 1 real solution which is x=3.

You can also check the discriminant:

b^2-4ac

(-6)^2-4(1)(9)

36-36

0

Since the discriminant is 0, there can only be 1 real solution.

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Roy has a total of 10 quarters and dimes. The value of the coins is $2.05. He has more quarters then dimes. How many of each coi
Bond [772]

Answer:

Step-by-step explanation:

9 quarters and 8 dimes

9Q= 2.25

8D= 0.80

If you add then together you would get 2.05

5 0
3 years ago
Find the area of a regular heptagon with a side length of 14 units. Use 2 decimal places
Aloiza [94]

Answer:

Area of heptagon = 712.26 square units

Step-by-step explanation:

Given the following data;

Side length = 14 units

A heptagon is a polygon with seven sides.

Mathematically, the area of a heptagon is given by the formula;

Area of heptagon = 3.634a²

Where;

a represents the side length.

Area of heptagon = 3.634 * 14²

Area of heptagon = 3.634 * 196

Area of heptagon = 712.26 square units

4 0
3 years ago
A factory ships widgets in crates. There are 12 boxes in each crate. Each box holds 275 widgets. How many widgets are in one cra
Serhud [2]
There are 3300 widgets in each crate.
         275   widgets
    x     12    boxes
  __________________________
    3300   widgets in one crate

Hope this helps,
~ Harley Quinn ~
6 0
3 years ago
Read 2 more answers
The longest side in a right triangle is 24 cm, and the second longest side is 20 cm. Find the length of the shortest side.
Alex Ar [27]

Answer:

13.27 cm

Step-by-step explanation:

The hypotenuse is always the longest side so:

a^2 + 20^2 = 24^2

a^2 + 400 = 576

a^2 = 176

a = 13.27

7 0
3 years ago
If you place a 41-foot ladder against the top of a 40-foot building, how many feet will the bottom of the ladder be from the bot
garri49 [273]

Answer:

9

Step-by-step explanation:

The ladder is the hypotenuse, the wall is one of the legs. In order to find the other leg you have to do c^2-a^2=b^2. 41^2-40^2 is 81 and the square root of that is 9

5 0
3 years ago
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