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Fed [463]
2 years ago
10

I need to do this problem by completing the square . help please

Mathematics
1 answer:
sukhopar [10]2 years ago
8 0

Answer:

the roots are n = 1 + √15 and n = 1 - √15

Step-by-step explanation:

In this case I would immediately rewrite n² - 2n - 5 = 10 as

n² - 2n                  = 10 + 5 = 15.

To complete the square:  Identify the coefficient of n (it is -2). Halve that, obtaining -1, square this result, and then add the outcome (1) to and subtract the outcome (1) to n² - 2n:

n² - 2n  <em>+ 1 - 1   </em>             = 15

Next, rewrite n² - 2n  + 1 as the square of a binomial:

(n - 1)² = 15

Finally, take the square root of both sides:

n - 1 = ±√15

so that the roots are n = 1 + √15 and n = 1 - √15

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Work out the size of AED. Work out x
Monica [59]

Answer:

a). m∠AED = 70°

b). x = 10°

Step-by-step explanation:

a). Quadrilateral ABDE is a cyclic quadrilateral.

Therefore, by the theorem of cyclic quadrilateral,

Sum of either pair of opposite angle is 180°

m(∠AED) + m(∠ABD) = 180°

m(∠AED) = 180° - 110°

m(∠AED) = 70°

Since, ∠AED ≅ ∠EAD

Therefore, m∠AED = m∠EAD = 70°

b). By triangle sum theorem in ΔABD,

m∠ABD + m∠BDA + m∠DAB = 180°

110° + 40° + m∠DAB = 180°

m∠DAB = 180° - 150°

m∠DAB = 30°

m∠BAE = m∠EAD + m∠BAD

              = 70° + 30° = 100°

By angle sum theorem in ΔACE,

m∠EAC + m∠AEC + m∠ACE = 180°

100° + 70° + x° = 180°

x = 180° - 170°

x = 10°

4 0
3 years ago
There are 50 read beans and 50 white beans in a bag . The first bean selected is red . The red bean is returned to the bag . Wha
andrew11 [14]

Answer:

50% as there is 100 beans all together

4 0
2 years ago
Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "
Nikitich [7]

The table is proportional and the constant of proportionality is 1.5

Step-by-step explanation:

Proportional relationships are relationships between two variables

where their ratios are equivalent

  • One variable is always a constant value times the other
  • The relation between the two variables represented graphically by a line passes through the origin point

The table:

→ x  :  0  :  2  :  4  :  6

→ y  :  0  :  3  :  6  :  9

To prove that y ∝ x find the ratio between each value of y with corresponding value of x

∵ \frac{3}{2}=1.5

∵ \frac{6}{4}=1.5

∵ \frac{9}{6}=1.5

∴ \frac{y}{x}=k

∴ k = 1.5

∵ The origin point is in the table

∴ y ∝ x

∴ The table is proportional

The table is proportional and the constant of proportionality is 1.5

Learn more:

You can learn more about proportional in brainly.com/question/10708697

#LearnwithBrainly

4 0
3 years ago
Read 2 more answers
Work out the size of the angle marked t
tiny-mole [99]

Answer:

<h2>35°</h2>

Step-by-step explanation:

This is an isoceles triangle

And as we all know an isoceles triangle has two equal base angles.

And we also know that the sum of all interior angles of the triangle is 180°

So based on this we can form an algebraic equation of solve for angke t (Let's do it :))

110 + 2t = 180 \\ 2t = 180 - 110 \\ 2t = 70 \\ t  =  \frac{70}{2}  \\ t = 35

So the base angle is 35°

3 0
2 years ago
Read 2 more answers
Find the distance between the points (6,1) and (9,5)
Sergio [31]

square root of (9-6)^2 +(5-1)^2 = 5

 the distance is 5 units

4 0
3 years ago
Read 2 more answers
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