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saveliy_v [14]
3 years ago
13

For what real value of $v$ is $\frac{-21-\sqrt{301}}{10}$ a root of $5x^2+21x+v$?

Mathematics
1 answer:
Degger [83]3 years ago
6 0

Answer:

v = 7

is the value for which

x = (-21 - √301)/10

is a solution to the quadratic equation

5x² + 21x + v = 0

Step-by-step explanation:

Given that

x = (-21 - √301)/10 .....................(1)

is a root of the quadratic equation

5x² + 21x + v = 0 ........................(2)

We want to find the value of v foe which the equation is true.

Consider the quadratic formula

x = [-b ± √(b² - 4av)]/2a ..................(3)

Comparing (3) with (2), notice that

b = 21

2a = 10

=> a = 10/2 = 5

and

b² - 4av = 301

=> 21² - 4(5)v = 301

-20v = 301 - 441

-20v = -140

v = -140/(-20)

v = 7

That is a = 5, b = 21, and v = 7

The equation is then

5x² + 21x + 7 = 0

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maks197457 [2]

Answer:

10^{13} galaxies.

Step-by-step explanation:

There are about 10^{24} stars in the universe.

The Milky Way galaxy10 * 10^{10} stars.

All we need to do to find the number of galaxies is to divide the total number of stars in the universe by the number of stars in the Milky Way:

Number of galaxies = (Number of stars in the universe) / (Number of stars in the Milky Way)

Number of galaxies = \frac{10^{24}}{10 * 10^{10}}

N = \frac{10^{24}}{10^{11}}

N = 10^{24 - 11} = 10^{13}

The number of galaxies in the universe is approximately 10^{13}.

7 0
3 years ago
Plz help me. first to answer get brainliest
laiz [17]

Answer:

A 28 because 7 times four

Step-by-step explanation:

4 0
3 years ago
⚠URGENT!!!⚠ <br><br> solve for m.
Zinaida [17]

Answer:

Step-by-step explanation:

Remark

Read the following carefully.

There is a beautiful theorem that has to do with the endpoints of two angles sharing the same endpoints.  

To be a little clearer, I hope, that makes < BAC = <BDC because both angles have B and C as their endpoints inside the circle. Make sure you understand that statement before moving on.

For this problem <BDC = <CAB = 33 degrees.

That means that ADC = 37 + 33 = 70

Solution

<ADC and CBA are opposite angles.

That means that they add to 180

From the above statement in the Remark section <ADC = 37 + 33 = 70 degrees <ABD + <DBC = <ABC = m + 71

<ABC + ADC = 180

m + 71 + 70 = 180        Combine

m + 141 = 180               Subtract 141 from both sides.

m+141-141= 180 - 141    Combine

m = 39

Answer: m = 39

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2 years ago
The dot plot shows how much hairdressers in Margot's area charge for a woman's haircut. The least expensive cut is $25. Margot d
qaws [65]

Answer:

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Step-by-step explanation:

The description by Margot is accurate except for the following observation

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By looking at the dot plot it is observed that both 16th dot and the middle of the cluster are located on the $37.

That is the point where Margot make an error is defining the center as $37, where the center is observed to be $36.

5 0
3 years ago
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