1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
inessss [21]
2 years ago
12

One of the five quadratics below has a repeated root. (The other four have distinct roots.) What is the repeated root?

Mathematics
1 answer:
pychu [463]2 years ago
6 0

Answer:

  (c)  8x^2 -32x +32, repeated root is x=2.

Step-by-step explanation:

A quadratic with repeated roots will be a multiple of a perfect square trinomial. The form of it will be ...

  a(x -b)² = ax² -2abx +ab² = a(x² -2bx +b²)

Dividing by the leading coefficient will leave a monic quadratic whose constant is a (positive) perfect square, and whose linear term has a coefficient that is double the root of the constant.

__

<h3>-x^2 + 18x + 81</h3>

Dividing by the leading coefficient gives ...

  x^2 -18x -81 . . . . . a negative constant

__

<h3>3x^2 - 6x + 9</h3>

Dividing by the leading coefficient gives ...

  x^2 -2x +3 . . . . . . constant is not a perfect square

__

<h3>8x^2 - 32x + 32</h3>

Dividing by the leading coefficient gives ...

  x^2 -4x +4 = (x -2)^2 . . . . . has a repeated root of x=2

__

<h3>25x^2 - 30x - 9</h3>

Dividing by the leading coefficient gives ...

  x^2 -1.2x -0.36 . . . . . . a negative constant

__

<h3>x^2 - 14x + 196</h3>

The x-coefficient is not 2 times the root of the constant.

  14 = √196 ≠ 2√196

You might be interested in
Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters. How long, in
Oksanka [162]

Answer:

<u>0.765 meters</u> long were the sticks when laid end to end.

Step-by-step explanation:

Given:

Rob laid three sticks end to end. The lengths of the sticks were 45 millimeters, 32 centimeters, and 4 decimeters.

Now, to find the length in meters of the sticks when laid end to end.

The lengths of the sticks are:

1st stick - 45 millimeters.

2nd stick - 32 centimeters.

3rd stick - 4 decimeters.

So, we convert the units of sticks into meters by using conversion factor:

1st stick:

1 millimeter = 0.001 meter.

45 millimeters = 0.001 × 45

45 millimeters = 0.045 meter.

2nd stick:

1 centimeter = 0.01 meter.

32 centimeters = 0.01 × 32

32 centimeters = 0.32 meter.

3rd stick:

1 decimeter = 0.1 meter.

4 decimeters = 0.1 × 4

4 decimeters = 0.4 meter.

Now, adding all the three sticks length to get the the length in meters of the sticks when laid end to end:

0.045+0.32+0.4\\\\=0.765\ meters.

Therefore, 0.765 meters long were the sticks when laid end to end.

5 0
3 years ago
When Frank buys three packs of pens, he knows he has 36 pens. When he buys five packs, he knows he has 60 pens. What is the cons
jenyasd209 [6]

Answer:

Loggerhead turtles live and migrate around the Atlantic Ocean. Which of the following is an adaptation of Loggerhead turtles? *

Step-by-step explanation:

hi sup

7 0
3 years ago
Read 2 more answers
Mapping congruent Triangles
Snezhnost [94]
The answer is b so mark it down
7 0
3 years ago
Read 2 more answers
Pls answer and explain how you got it - i will mark brainliest<br> (just answer #28)
Akimi4 [234]

Answer:

5 x^2 y^ (-3) z = ?

Step-by-step explanation:

We know the volume of a rectangular prism is given by

V = l*w*h

V = 2x^2 * y^-2 * ?

We are given the volume

V =10x^4 y^-5 z

Set  the two equal

10x^4 y^-5 z = 2x^2 * y^-2 * ?

Divide each side by 2x^2 y^-2

10x^4 y^-5 z /2x^2 y^-2 = 2x^2 * y^-2 * ?/2x^2 * y^-2

10x^4 y^-5 z/ 2x^2 y^-2 = ?

Simplifying

10/2  * x^4/x^2  y^-5/ y^-2  z = ?

We know that a^b/ a^c = a^(b-c)

5 x^ (4-2) y^(-5 - -2) z = ?

5 x^2 y^ (-5 +2) z = ?

5 x^2 y^ (-3) z = ?

4 0
3 years ago
Read 2 more answers
I need this please help ​
Korolek [52]

Answer:

30

Step-by-step explanation:

Add all of them

5 0
3 years ago
Other questions:
  • You draw a coin from a collection of 4 coins. 2 are fair coins, and 2 are weighted so they land on heads 90% of the time. you ca
    12·1 answer
  • Janet is designing a frame for a client. She wants to prove to her client that m∠1 = m∠3 in her sketch. What is the missing just
    7·2 answers
  • If the points A, B and C have the coordinates A(5, 2), B(2, −3) and C(−8, 3), show that the triangle ABC is a right-angled trian
    5·1 answer
  • What is the degree of the polynomial below?<br>2х^2 + 3x +1​
    10·1 answer
  • Given: △ABC, D∈ AC m∠ABC=m∠BDA AB=2, AC=4 Find: AD and DC
    10·2 answers
  • The contents of seven similar containers of sulfuric acid are 9.8, 10.2, 10.4, 9.8, 10.0, 10.2, and 9.6 liters. find a 95% confi
    6·1 answer
  • For the right triangle find the missing length Round your answer<br> the nearest teren
    15·1 answer
  • The sum of two numbers is 32. The larger is 3 less than 6 times the smaller. What is the larger number?
    14·1 answer
  • Please help me thank you so much!
    10·2 answers
  • Help me with this please
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!