which polygon will NOT tessellate a plane?

So you definately wrote something wrong but I will assume the 6x^2 was meant to be just 6x.

2x^2 + 6x + 2 = 0

x^2 + 3x + 1 = 0

I can't seem to find a better way than to simply use the quadratic formula:

(-3 + sqrt(9 - 4*1*1))/2 [tex]\approx[/tex] -0.382

(-3 - sqrt(9 - 4*1*1))/2 [tex]\approx[/tex] -2.62

So the zeroes for this function are at

(-0.382, 0) and (-2.62, 0)

Or exactly:

((-3 + sqrt(9 - 4*1*1))/2, 0) and ((-3 - sqrt(9 - 4*1*1))/2, 0)

Answer:

x=10

Step-by-step explanation:

Using the Rational Roots Test, we can say that the potential rational roots are

± (1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90).

Unfortunately, there doesn't really seem to be an easy way to figure out which numbers are actually roots outside of guess and check. Therefore, to solve this, we'll have to go through numbers until we hit something.

To make the process faster, I wrote a Python script as follows:

numbers = [1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90]

negative_numbers = [i * (-1) for i in numbers]

numbers = numbers + negative_numbers

for i in numbers:

   if (i**3 - 10*(i**2) + 9*i-90) == 0:

       print(i)

The result comes out as 10, meaning that 10 is our only rational root. Using the Factor Theorem, we can say that because 10 is a root, (x-10) is a factor of the polynomial. Using synthetic division, we can divide (x-10) from the polynomial to get

10 |   1     -10     9      -90

    |          10     0       90

    _________________

        1       0     9        0

Therefore, we can say that

(x³-10x²+9x-90)/(x-10) = (x²+0x+9), so

x³-10x²+9x-90 = (x-10)(x²+9)

As the only solution to x²+9=0 contains imaginary numbers, x=10 is the only solution to x³-10x²+9x-90 = (x-10)(x²+9) = 0

Answer:

$0.85

Step-by-step explanation:

$4.25 divided by 5 pounds equals $0.85 per pound.

Answer:

$0.85

Step-by-step explanation:

Find the unit rate.

4.25/5=x/1

Solve for x. X= 4.25/5=0.85

So 1 lb of tangerines costs $0.85.

Answer:

the answer is C. 16/t

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

the formula for distance is √(X2-X1)^2 + (y2-y1)^2

=√(5-0)^2 + (12-0)^2

=√5^2 + 12^2

=√25+144

=√169

=13

Answer:

The average speed was of 2 miles per hour.

Step-by-step explanation:

Average speed:

Average speed is distance divided by time.

Distance:

Solved by proportions, using rule of three.

1800 steps - x miles

10,000 steps - 5 miles

[tex]10000x = 5(1800)[/tex]

[tex]x = \frac{9000}{10000}[/tex]

[tex]x = 0.9[/tex]

Distance of 0.9 miles.

Using a time of 27 minutes to complete the event, calculate your average speed.

Distance of 0.9 miles in 27/60 of an hour. So

[tex]d = \frac{0.9}{\frac{27}{60}} = \frac{60(0.9)}{27} = 2[/tex]

The average speed was of 2 miles per hour.

Answer:

he didnt build the field

Step-by-step explanation:

f

Answer:

13/16 miles per minute

Step-by-step explanation:

Take the miles and divide by the minutes

1/8 ÷ 2/13

Copy dot flip

1/8 * 13/2

13/16 miles per minute

Answer:

$4543.70

General Formulas and Concepts:

Pre-Algebra

Algebra I

Simple Interest Rate Formula: [tex]\displaystyle A = P(1 + rt)[/tex]

Step-by-step explanation:

Step 1: Define

Identify

P = 3500

t = 6

r = 4.97% = 0.0497

Step 2: Find Interest

Answer:

D. g(x) = 1/2 × x²

Step-by-step explanation:

we need to pick the function that delivers

g(2) = 2

as the given point shows the coordinates (2, 2).

that means x=2, y=g(x)=2

A. for x=2

1/4 × x² = 1/4 × 2² = 1/4 × 4 = 1

wrong, as we need 2 as result.

B. for x=2

(x/2)² = (2/2)² = 1² = 1

wrong

C. for x=2

2×x² = 2×2² = 2×4 = 8

wrong

D. for x=2

1/2 × x² = 1/2 × 2² = 1/2 × 4 = 2

correct

Answer:

5 5/6

Step-by-step explanation:

7 x 5 = 35

35/6 = 5 5/6

Answer:

5 5/6

Step-by-step explanation:

7 * 5/6

7/1 * 5/6

Multiply the numerators

7*5 = 35

Multiply the denominators

1*6 = 6

Numerator over denominator

35/6

Change to a mixed number

6 goes into 35   5 times with 5 left over

5 5/6

Answer:

2

Step-by-step explanation:

Answer:

998.

Step-by-step explanation:

Just get rid of the negative sign

Answer:

This should 998 I guess

Step-by-step explanation:

Minus the negative signs

Answer:

false

Step-by-step explanation:

a whole number is a number that doesnt contain a fraction or negative value

Answer:

x = 46°

Step-by-step explanation:

Since 2 legs of the triangle are congruent, then the triangle is isosceles with the 2 base angle congruent , then

x = [tex]\frac{180-88}{2}[/tex] = [tex]\frac{92}{2}[/tex] = 46°

The given triangle is an isosceles triangle, where two sides and two angles are congruent.

The value of x is 46 degrees

Because the triangle is isosceles, and the base angles are x.

The following equation can be used to solve for x

[tex]x + x + 88 = 180[/tex] --- sum of angles in a triangle

So, we have:

[tex]2x + 88 = 180[/tex]

Collect like terms

[tex]2x =- 88 + 180[/tex]

[tex]2x =92[/tex]

Divide both sides by 2

[tex]x =46[/tex]

Hence, the measure of x is [tex]46^o[/tex]

Read more about isosceles triangles at:

https://brainly.com/question/16719933

After careful consideration the answer is...

1,260

Hope I helped

~Alanna~

Answer:

1,260

Step-by-step explanation:

Answer:

look at diagram above. Use y=mx+c

Answer:

60t + 55t = 150

Step-by-step explanation:

I took the test. I know it's correct!!!

Hi there!

[tex]\large\boxed{x = 60^o}[/tex]

We know:

∠AGB ≅ ∠DGC because they are vertical angles. They both are 90°.

∠AGE ≅ FGC because they are vertical angles, equal 30°.

∠BGF ≅ ∠DGE are vertical angles, both equal x.

All angles sum up to 360°, so:

360° = 90° + 90° + 30° + 30° + x + x

Simplify:

360° = 240° + 2x

Subtract:

120°  = 2x

x = 60°

Answer: x = (-3,3), y = (-5,5)

Step-by-step explanation:

Add both of the equations together, for [tex]3x^{2}+3y^{2} = 102[/tex]. Now we can divide both sides by 3, getting[tex]x^2+y^2=34[/tex]. we subtract the first equation from our equation we just got, getting [tex]y^2=25[/tex] y= (5,-5). once we plug that in, we get [tex]50+x^2 = 59[/tex], [tex]x^2 = 9[/tex] x = (-3,3)

Answer:

There is not enough information to determine the mean, the median is 28.

There is not enough information to determine the mean absolute deviation, the interquartile range is 18

Step-by-step explanation:

The box plot given has a skewed distribution, this means that both the mean and median values are not the same. From a box plot, the median value Can be obtained as the point in between the box.

From the box plot given, the marked point in between the box is 28 cm

Hence, Median = 28 cm

The mean cannot be inferred from the skewed box plot.

There is also not enough information to determine the mean absolute deviation ;

The interquartile range:

(Q3 - Q1)

Q3 = upper quartile, the endpoint of the box = 40

Q1 = the starting point of the box = 22

IQR = Q3 - Q1

IQR = 40 - 22 = 18

Answer:

the addition of "1" to the quantity under the radical sign.

Step-by-step explanation:

Using a regression equation :

The confidence interval is obtained using the relation :

yhat ± t(α/2) * s√(1/n + (Xp - xbar)²/SSx)

yhat = Predicted value

s = estimated standard deviation of yhat

x = Xp

The prediction interval is obtained using the relation :

yhat ± t(α/2) * s√(1 + 1/n + (Xp - xbar)²/SSx)

Hence, from the formula stated abibeb, we can see that, the only difference is the 1 added to the prediction interval formula.

Answer:

[tex]{ \bf{P = 2L + 2W}} \\ { \tt{P = 2(W + L)}} \\ { \tt{P = 2(148 + 57)}} \\ { \tt{P = 410}}[/tex]

Answer:

P=410

Step-by-step explanation:

2(57)+2(148)=114+296=410

Answer:

17

26

35

44

53

62

71

80

Step-by-step explanation:

Let's solve the problem step by step.

Let's assume the two-digit number is represented as "AB," where A represents the tens digit and B represents the units digit. According to the problem, the difference between the number "AB" and the number "BA" is 54.

So, we have the equation:

(10A + B) - (10B + A) = 54

Simplifying the equation, we get:

9A - 9B = 54

Dividing both sides of the equation by 9, we have:

A - B = 6

Now, we need to find two-digit numbers where the difference between the tens digit and the units digit is 6. The possible combinations are:

(1, 7)

(2, 8)

(3, 9)

(4, 10) - But 10 is not a valid unit digit since it exceeds the range of a two-digit number.

So, the valid two-digit numbers that satisfy the given condition are:

17

26

35

44

53

62

71

80

Therefore, there are 8 two-digit numbers that have a difference of 54 when subtracted from the number formed by reversing their digits.

Answer:

[tex]1/16[/tex]

Step-by-step explanation:

The formula for the sequence [tex]a_n=\frac{1}{2}^n[/tex] is used to find the [tex]n[/tex]th term of the sequence.

To find the fourth term, substitute [tex]n=4[/tex]:

[tex]a_4=\left(\frac{1}{2})\right ^4,\\a_4=\frac{1^4}{2^4}=\boxed{\frac{1}{16}}[/tex]

Answer:

1/16

Step-by-step explanation:

the nth term is

[tex]a_{n} = (\frac{1}{2} )^{n}[/tex]

the 4th term is found by substituting n=4

[tex]a_{4} =(\frac{1}{2} )^{4} = \frac{1^{4} }{2^{4} } = \frac{1}{16}[/tex]

Answer:

Step-by-step explanation:

x(x+2) = 143

:::::

x² + 2x - 143 = 0

x = [-2 ±√(2²-4(1)(-143))]/[2(1)] = 11, -13

:::::

11 and 13

:::::

-13, -11

Step-by-step explanation:

a.2+9-5=6

b.-9+1=-8

c.7(-36+50/120)2

=7(24/120)2

9514 1404 393

Answer:

Step-by-step explanation:

If we let a, b, c represent tickets booked on airlines A, B, C, respectively, then we have ...

  a + b + c = 55

  a - b = 6

  -2b + c = 5

Using the last two equations to write expressions for a and c, we have ...

  a = b +6

  c = 5 +2b

These can be substituted into the first equation to give ...

  (b +6) +b +(5 +2b) = 55

  4b +11 = 55

  4b = 44

  b = 11

  a = b+6 = 17

  c = 5 +2b = 27

He booked 17 tickets on Airline A, 11 tickets on Airline B, and 27 tickets on Airline C.