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Elina [12.6K]
3 years ago
10

Determine whether the equation below has a one solutions, no solutions, or an

Mathematics
1 answer:
Elan Coil [88]3 years ago
7 0

Answer:

one solution

Step-by-step explanation:

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What is the definition of a line​
kolezko [41]

A line is a straight one-dimensional figure having no thickness and extending infinitely in both directions.
3 0
3 years ago
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Complete the square to transform the expression x2 + 4x + 2 into the form a(x − h)2 + k.
Nina [5.8K]

Answer:

Step-by-step explanation:

y = (x^2 + 4x)      + 2

Take 1/2 of the linear term 4/2 = 2 and square that result. 2^2 = 4.

Put it after 4x

y = (x^2 + 4x + 4)   +2  Subtract what you put inside the brackets on the outside.

y = (x^2 + 4x + 4) + 2 - 4      Combine the right.

y = (x^2 + 4x + 4) - 2            Express the brackets as a square.

y = (x + 2)^2 - 2

That's your answer

a = 1

h = 2

k = -2

3 0
3 years ago
A tree and a building stand side by side. The 5-foot tall tree cast a shadow of 12 feet. If the building is 80 feet tall, how lo
SpyIntel [72]

Answer:

The shadow of the building = 192 ft.

Step-by-step explanation:

∵ There is a proportional relation between the heights of the tree and the building and their shadows

∴ Height tree/height building = shadow tree/shadow building

\frac{5}{80}=\frac{12}{x}

x = \frac{(80)(12)}{5}= 192 ft ⇒ x is the length of the shadow of the building

3 0
2 years ago
We used these functions to represent the two sides of the equation:
katrin [286]

The solution to the system of equation graphed is (-1, -3)

<h3>Solution to system of equation</h3>

Given the system of equations graphed on the plane expressed as:

f(x) = 3x

g(x) = 4x + 1

Equate

f(x) = g(x)

3x = 4x + 1

3x - 4x = 1

-x = 1

x = -1

Determine the value of y

y = 3x

y = 3(-1)

y = -3

Hence the solution to the system of equation graphed is (-1, -3)

Learn more on system of equation here: brainly.com/question/847634

#SPJ1

4 0
2 years ago
Liwen and Celina shared some plants in a ratio of 5:6. Celina decided to give Liwen 2/3 of her plants, which left her with 21 fe
djyliett [7]

Answer: 231

<u>Explanation:</u>

Liwen    Celina

   5x          6x

5x - 21 = (\frac{2}{3})6x

5x - 21 = 4x

<u>-4x +21</u>   <u>-4x +21 </u>

  x        =        21


Liwen: 5x   = 5(21)   = 105

Celina: 6x   = 6(21)   =<u> 126</u>

                       Total:   231                    

6 0
2 years ago
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