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vovikov84 [41]
2 years ago
13

If a polynomial has one root in the form a+√b , it has a second root in the form of a_√b

Mathematics
1 answer:
Elina [12.6K]2 years ago
3 0

Answer:

Step-by-step explanation:

a+√b

a-√b

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3. If triangle ABC has the following measurements, find the measure of angle A.
klio [65]

9514 1404 393

Answer:

  (a)  42.3°

Step-by-step explanation:

Side 'a' is the shortest of three unequal sides, so angle A will be the smallest angle in the triangle. Its measure can be found from the Law of Cosines.

  a² = b² +c² -2bc·cos(A)

  cos(A) = (b² +c² -a²)/(2bc) = (21² +25² -17²)/(2·21·25) = 777/1050

  A = arccos(777/1050) ≈ 42.3°

The measure of angle A is about 42.3°.

_____

<u><em>Additional comment</em></u>

The smallest angle in a triangle can never be greater than 60°. This lets you eliminate choices that exceed that value.

5 0
2 years ago
If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..
Ksju [112]

<u>Answer:</u>

  • Slope = 27/11
  • AB = 29.15 u

<u>Step-by-step explanation:</u>

<u>Given :- </u>

  • Two points are given to us .
  • The points are A(7,15) and B(18,42)

<u>To Find</u> :-

  • The slope of the line .
  • The length of line AB .

We can find the slope of the line passing through the points ( x_1,y_1) and ( x_2,y_2)as ,

\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}

  • Plug in the respective values ,

\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}

<u>Hence the slope of the line is 27/11 .</u>

\rule{200}2

<u>Finding the length of AB :-</u>

  • We can find the distance between them by using the Distance Formula .

\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 }  \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }

<u>Hence the length of AB is 29.15 units .</u>

5 0
3 years ago
Study the geometric sequence {-4, -84, -1764, -37044, ...}.
Nonamiya [84]

Answer:

              \bold{a_n=(-4)21^{n-1}}

Step-by-step explanation:

a_1=-4\,,\ a_2=-84\,,\ a_3=-1764\,,\ a_4=-37044\quad\implies\ \ r=21

{-84:(-4)=21 and -1764:(-84)=21 and -37044:(-1764)=21}

geometric sequence formula:   a_n=a_1r^{n-1}

a_1=-4\quad and \ \ r=21

a_n=(-4)21^{n-1}

3 0
3 years ago
The area of a rectangle is 228 sq feet if the length of rectangle is 12 feet what would be the width of the rectangle
zysi [14]
Well you do 228/12 to find your answer and that is 19 and to check you do 12*19=228
8 0
3 years ago
Here is the questions sorry
xxMikexx [17]

Answer:

I think the answer is about 10

Step-by-step explanation:

6 0
3 years ago
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