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katen-ka-za [31]
3 years ago
10

Find the 31st term of the sequence {7, 11, 15, 19, 23,....}

Mathematics
1 answer:
weeeeeb [17]3 years ago
3 0
It is adding 4 every time.


7 is the first term.
To get the 31st term, add 30*4 to 7 (why?)
The 31st term is 7+30*4=127
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Find the y value for point F such that DF and EF form a 1:3 ratio. (5 points) Segment DE is shown. D is at negative 3, negative
SVETLANKA909090 [29]
I drew the segment and used Pythagorean theorem to solve for its measure. The line formed is the hypotenuse of the imaginary right triangle.

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Solve for the roots in simplest form by completing the square <br><br> x^2-12x+20=0
Alex17521 [72]

Answer:

x = 10 or x = 2

Step-by-step explanation:

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x^2 - 12 x + 20 = 0

Hint: | Solve the quadratic equation by completing the square.

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x^2 - 12 x = -20

Hint: | Take one half of the coefficient of x and square it, then add it to both sides.

Add 36 to both sides:

x^2 - 12 x + 36 = 16

Hint: | Factor the left hand side.

Write the left hand side as a square:

(x - 6)^2 = 16

Hint: | Eliminate the exponent on the left hand side.

Take the square root of both sides:

x - 6 = 4 or x - 6 = -4

Hint: | Look at the first equation: Solve for x.

Add 6 to both sides:

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Hint: | Look at the second equation: Solve for x.

Add 6 to both sides:

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5 0
3 years ago
Given that the image below is not drawn to
Natali [406]

Answer:

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Step-by-step explanation:

4 0
3 years ago
Find the distance between the two points (-10,3) and (0,27)​
crimeas [40]

Answer:

26 units

Step-by-step explanation:

\boxed{distance \: between \: 2 \: points =  \sqrt{ {(x1 - x2)}^{2} +  {(y1 - y2)}^{2}  } }

Using the formula above,

distance between (-10, 3) and (0, 27)

=  \sqrt{ {( - 10 - 0)}^{2}  +  {(3 - 27)}^{2} }

=  \sqrt{ {10}^{2}  + ( - 24) {}^{2} }

=  \sqrt{100 + 576}

=  \sqrt{676}

= 26 units

5 0
3 years ago
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