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rjkz [21]
3 years ago
15

What number must you add to complete the square? x2 + 12x = -5

Mathematics
1 answer:
VARVARA [1.3K]3 years ago
7 0
You must add 6 to complete the square. 
x^2+12x+(6)=-5(6)
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How many real-number solutions does the equation have?
Nataly_w [17]

Answer:

Option b. Two solutions

Step-by-step explanation:

In order to find how many real number solutions the equation has we have to solve it

Given equation: -4x² + 10x + 6 = 0

taking 2 common from the equation

2(-2x² + 5x + 3) = 0

-2x² + 5x + 3 = 0

taking minus sign common from the above equation

2x² - 5x - 3 = 0

We will solve this equation by factorization in such a way that the sum of two factors is equal to -5x and the product is -6x²

2x² - 6x + x - 3 = 0

taking common above

2x(x-3) + 1(x-3) = 0

taking (x-3) common

(2x+1)(x-3) = 0

2x + 1 = 0

2x = -1

x = \frac{-1}{2}

x - 3 = 0; x = 3

the solutions are

x=\frac{-1}{2},3

Both values are real numbers, therefore correct option is b

7 0
3 years ago
Read 2 more answers
Find the pattern: 1, 1/4, 1/9, 1/16, 1/25
alexandr1967 [171]
The sequence is not geometric or arithmetic because there is no common difference or common ratio between each term.
Not a Geometric or Arithmetic Sequence
8 0
2 years ago
Determine the value of x in the figure. answers: A) x = 90 B) x = 40 C) x = 45 D) x = 135
guapka [62]

Answer:

Please mark be brainliest and I hoped this helped!

x = 45°

Step-by-step explanation:

Since this is an isosceles triangle, that means that x, and the angle opposite from x, are the same. We take 135° and subtract that from 180°. That gives us 45°. Since the angle opposing x is 45°, then x is 45° as well.

5 0
3 years ago
Find the volume of a cone with a height of 3.25 centimeters and<br> a diameter of 2.2 centimeters.
saveliy_v [14]

Answer:

As per Provided Information

Height of cone h is 3.25 cm

Diameter of cone is 2.2 cm

  • Radius = Diameter/2

Radius = 2.2/2

Radius = 1.1 cm

We have been asked to determine the volume of the cone .

<u>Using </u><u>Formulae </u>

\boxed{\bf \:Volume_{(Cone)}  =  \cfrac{1}{3}  \pi {r}^{2}h}

Substituting the given value and let's solve it

\sf\longrightarrow \: Volume_{(Cone)}  =  \cfrac{1}{3}  \times 3.14 \times  {1.1}^{2}  \times 3.25 \\  \\  \\ \sf\longrightarrow \: Volume_{(Cone)}  =  \cfrac{1}{3}  \times 3.14 \times 1.21 \times 3.25 \\  \\  \\ \sf\longrightarrow \: Volume_{(Cone)}  =  \cfrac{1}{3}  \times 3.14 \times 3.9325 \\  \\  \\ \sf\longrightarrow \: Volume_{(Cone)}  =  \cfrac{1}{3}  \times 12.34805 \\  \\  \\ \sf\longrightarrow \: Volume_{(Cone)}  =  \cfrac{12.34805}{3}  \\  \\  \\ \sf\longrightarrow \: Volume_{(Cone)}  = 4.11 {cm}^{3}

<u>Therefore</u><u>,</u>

  • <u>Volume </u><u>of </u><u>the </u><u>cone </u><u>is </u><u>4</u><u>.</u><u>1</u><u>1</u><u> </u><u>cm³</u><u> </u><u>.</u>
3 0
2 years ago
When running a marathon you heard the timer call out 12 minutes as you passed mile-marker 2. as you passed mile-marker 5 you hea
zvonat [6]
Subtract the distances.
Subtract the times.
Divide he difference in distance by the difference in time.
6 0
3 years ago
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