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
bonufazy [111]
3 years ago
14

Which equation has the solutions x = 1 plus-or-minus StartRoot 5 EndRoot?

Mathematics
1 answer:
Sophie [7]3 years ago
6 0

Answer:

The quadratic equation is x^2-2x-4

Step-by-step explanation:

We want to know the equation that has the solution below;

x = 1 ± √5

This means x = 1 + √5 or 1 - √5

The equation would thus be;

(x-1-√5)(x-1+ √5)

= x(x-1+ √5)-1(x-1+ √5)-√5(x-1+ √5)

Opening the brackets we have ;

x^2-x+ √5x-x + 1 -√5-√5x+ √5-5

collecting like terms we have;

x^2-2x+1-5

= x^2-2x-4

You might be interested in
Vinyl wallpaper is needed to cover 4 walls of a room each wall measures 12 feet By 8 feet and each bolt of wallpaper covers 72 s
Luden [163]

Answer:

$69.50

Step-by-step explanation:

First you need to know how much wall you're going to cover.

Each wall us 12 ft by 8ft

The area of a rectangle can be computed with the formula:

A = L x W

Using the given:

A = 12ft x 8 ft

  = 96 ft²

This is the area of each wall. Since all 4 walls will be covered, you multiply the area of 1 wall by 4.

96 ft² x 4 = 384 ft²

Next we subtract the area of the windows and the door because we won't be covering that.

384 ft² - 52 ft² = 332 ft²

So the total area we are covering with wall paper is 332 ft².

To get the cost of the wallpaper needed, we just need to compute first how many bolt we will need. Divide the total area to be covered by the area of one bolt of wall paper.

332 ft² ÷ 72 ft²/bolt = 4.61 bolts ≅ 5 bolts

Then we multiply it by the price per bolt:

5 bolts x $13.90/bolt = $69.50

7 0
3 years ago
Plot the following and their opposites on the number line.
vodka [1.7K]

Step-by-step explanation:

Is there a image or any numbers because I can't see any

7 0
3 years ago
The gift bag from Claire's cosmetics includes 5 bottles of nail polish and 2 tubes of lip gloss.Use p to represent the cost of e
Svetradugi [14.3K]
40p + 16g
This is because you multiply 5 and 2 by the total number of gift bags (8)
5 0
3 years ago
Which equation represents a line that passes through (–2, 4) and has a slope of StartFraction 2 Over 5 EndFraction.? y – 4 = (x
JulijaS [17]

For this case we have that by definition, the point-slope equation of a line is given by:

(y-y_ {0}) = m (x-x_ {0})

Where:

(x_ {0}, y_ {0}): It is a point through which the line passes

m: It is the slope of the line

According to the data we have to:

(x_ {0}, y_ {0}): (-2,4)\\m = \frac {2} {5}

Substituting:

y-4 = \frac {2} {5} (x - (- 2))\\y-4 = \frac {2} {5} (x + 2)

Finally, the equation of the line is:

y-4 = \frac {2} {5} (x + 2)

ANswer:

y-4 = \frac {2} {5} (x + 2)

8 0
2 years ago
Read 2 more answers
△DOG ~△?
BabaBlast [244]

9514 1404 393

Answer:

  • none
  • none

Step-by-step explanation:

The reduced side ratios, shortest to longest are ...

  AC : AT : CT = 8 : 9 : 15

  OD : OG : DG = 5 : 6 : 10

These are different ratios, so the triangles are not similar.

5 0
2 years ago
Other questions:
  • If f(x) = 2x^2+1 and g(x) =x^2-7 find (f+g)(x)
    9·2 answers
  • What is the value of x in the product of powers below?<br><br><br> PLEASE HELP
    12·2 answers
  • I need help with solving #22
    11·2 answers
  • Find the exact value of tan (arcsin (2/5)).
    6·1 answer
  • The monthly demand for a product is normally distributed with mean = 700 and standard deviation = 200.
    7·1 answer
  • What is 6 + (-3) + 12 = ?
    5·2 answers
  • Amador wants to get Richard back for hitting him with a
    7·2 answers
  • Write an equation of a line that has a slope of 5 and goes through the point (-8, 35)?
    15·1 answer
  • What is the area of this figure?<br><br> Enter your answer in the box.
    12·1 answer
  • A piece of wood is 33.6 feet long. if I want to cut it into 4.2 feet sections, how many
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!