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ehidna [41]
2 years ago
12

Using quadratic formula to find the solution for y=3x^3+8x-1

Mathematics
1 answer:
andre [41]2 years ago
3 0
Y=-1

that’s the answer
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What is the length of Line segment B C, rounded to the nearest tenth? 13. 0 units 28. 8 units 31. 2 units 33. 8 units.
Len [333]

The length of the line segment BC is 31.2 units.

<h2>Given that</h2>

Triangle ABC is shown.

Angle ABC is a right angle.

An altitude is drawn from point B to point D on side AC to form a right angle.

The length of AD is 5 and the length of BD is 12.

<h3>We have to determine</h3>

What is the length of Line segment BC?

<h3>According to the question</h3>

The altitude of the triangle is given by;

\rm Altitude = \sqrt{xy}

Where x is DC and y is 5 units.

Then,

The length DC is.

\rm Altitude = \sqrt{xy}\\&#10;\\&#10;12 = \sqrt{(DC) \times 5}\\&#10;\\&#10;\sqrt{DC } = \dfrac{12}{\sqrt{5}}\\&#10;\\&#10;

Squaring on both sides

\rm DC = \dfrac{144}{5}\\&#10;\\&#10;DC = 28.8

Considering right triangle BDC, use the Pythagorean theorem to find BC:

\rm BC^2 = DC^2+BD^2\\\\  BC^2 = (28.8)^2+(12)^2\\&#10;&#10;\\&#10;BC = \sqrt{829.44+144}\\&#10;\\&#10;BC = \sqrt{973.44}\\&#10;\\&#10;\rm BC = 31.2 \ units

Hence, the length of the line segment BC is 31.2 units.

To know more about Pythagoras Theorem click the link given below.

brainly.com/question/26252222

6 0
2 years ago
Mr. Gephart is traveling from his house to the history museum. How many meters will he travel to the museum? The distance from h
snow_lady [41]

Answer: 6700 meters

Step-by-step explanation:

From the question given, we are informed that Gephart is traveling from his house to the history museum and that the distance from home to the history museum is six and seven-tenths kilometers.

In order to know the distance in meters

that he will travel to the museum, we have to multiply the convert the distance given in kilometers to meters. This will be:

1000 meters = 1 kilometer

Therefore, 6 7/10km = (6 7/10 × 1000m)

= 6 7/10 × 1000

= 67/10 × 1000

= 67 × 100

= 6700 meters

He'll travel 6700 meters to the museum.

7 0
3 years ago
The area of a rectangle is 20 square inches. If the length is 4 inches less than 6 times the width, then find the dimensions of
Tpy6a [65]

Step-by-step explanation:

Let the width=x

Length =6x-4

As we know that in a rectangle

{\boxed{\sf Area=LB}}

  • Substitute the values

\hookrightarrow\sf x (6x-4)=20

\hookrightarrow\sf 6x^2-4x=20

\hookrightarrow\sf 6x^2-4x-20=0

  • Here a=6, b=-4, c=-20.
  • use quadratic formula

\hookrightarrow\sf x=\dfrac {1}{3}+\dfrac {1}{3}\sqrt {31} \quad or \quad \dfrac {1}{3}+\dfrac {-1}{3}\sqrt {31}

8 0
2 years ago
The first term of a geometric sequence is −8100 . The common ratio of the sequence is −0.1 .
pychu [463]

Answer:

-8100 x (-0.1)5

Step-by-step explanation:

8 0
2 years ago
Which illustrates the construction of a perpendicular to a line from a point on the line?
quester [9]
I believe the correct answer from the choices listed above is the last option. The last option clearly describes the illustration of the construction of a perpendicular to a line from a point on the line where you start on a point in the line. Using an arbitrary radius, draw arcs intersecting the line <span> at two points. </span>
Hope this answers the question. Have a nice day.
6 0
2 years ago
Read 2 more answers
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