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disa [49]
3 years ago
14

X^2+15x=-45 solve by factoring

Mathematics
2 answers:
Julli [10]3 years ago
6 0

1 Move all terms to one side.

{x}^{2}+15x+45=0

x

2

+15x+45=0

2 Use the Quadratic Formula.

x=\frac{-15+3\sqrt{5}}{2},\frac{-15-3\sqrt{5}}{2}

x=

2

−15+3

5

,

2

−15−3

5

3 Simplify solutions.

x=-\frac{3(5-\sqrt{5})}{2},-\frac{3(5+\sqrt{5})}{2}

x=−

2

3(5−

5

)

,−

2

3(5+

5

)

harina [27]3 years ago
4 0

Answer:

x =  - \frac{15-3\sqrt{5} }{2}; - \frac{15+3\sqrt{5} }{2}

Step-by-step explanation:

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Determine the period.​
Aliun [14]

Answer:

T = 3

Step-by-step explanation:

To find the period, find the distance it takes to complete one cycle.

7 0
3 years ago
Ripley’s Aquarium charges $29.95 for (a) adults and $13.95 for (c) children. Write an expression to represent admission pricing
PIT_PIT [208]

Answer:

T=29.95a + 13.95c

Step-by-step explanation:

For this equation let a=amount of adult tickets, c=amount of children tickets, and T=the total cost. Since each adult ticket costs 29.95 dollars that needs to be multiplied by the number of adult tickets to see how much was spent on adults, the same goes for the price and number of children tickets. Finally, both of those totals need to be added together to see how much is spent overall for all of the guests.

4 0
2 years ago
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levacccp [35]

Step-by-step explanation:

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4 0
3 years ago
*GEOMETRY*please help me find the surface area of the solid along with the volume of it step by step!
Serjik [45]

Surface area of the solid = 7.1781 in²

Volume of the solid = 0.804 in³

Explanation:

Surface area of the solid = surface area of the square prism - 2(base of the cylinder) + lateral surface of cylinder

surface area of a square prism = 2(lw + lh + wh)

l = length = 1 in

w = length = 1 in

h = height = 1 in

\begin{gathered} \text{Surface area = 2(1}\times1\text{ + 1}\times1\text{ + 1}\times1) \\ \text{Surface area = 2(1 + 1 + 1) = 2(3)} \\ \text{Surface area = 6 in }^2 \end{gathered}

using the value π as it is on the calculator

Base area of a cylinder = πr²

2(Base area of cylinder) = 2πr² = 2π(0.25)² = 0.3927

Lateral surface area = 2πrh = 2π(0.25)(1) = 1.5708

Surface area of the solid = 6 - 0.3927 + 1.5708

Surface area of the solid = 7.178 in²

Volume of the solid = Volume of the square prism - volume of the cylinder

Volume of square prism = length × width × height

length = 1 in, width = 1 in, height = 1 in

Volume of the solid = 1 in × 1 in × 1 in = 1 in³

Volume of a cylinder = πr²h

Volume of the cylinder = π × 0.25 × 0.25 × 1 = 0.196

Volume of the solid = 1 - 0.196

Volume of the solid = 0.804 in³

4 0
1 year ago
A gazelle runs 780 feet in 12 seconds. Angela wants to determine how far a gazelle could run in 1 minute at this rate. Explain h
Hitman42 [59]

Answer:

In 1 min a gazelle runs 3,900 ft.

As a fraction, 1/65

In order to find the solution to this problem you could use a table.

Since we are using seconds we have to convert the 1 min = 60 seconds.

<u>Sec</u><u>   |  12    |    60</u>

<u>Fts</u><u>    |  780  |    x  </u>

12 goes into 60 5 times, so we have to multiply 780 by 5 which gives us 3900.

x=3900

4 0
3 years ago
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