Factor as the product of two binomials. 81+18x+x^2

Answer:

D. 9

Step-by-step explanation:

Let

abc=100a+10b+c

bca=100b+10c+a

cab=100c+10a+b

abc + bca + cab=(100a+10b+c) + (100b+10c+a) + (100c+10a+b)

=100a + 10b + c + 100b + 10c + a + 100c + 10a + b

Collect like terms

=100a + a + 10a + 10b + 100b + b + c + 10c + 100c

=111a + 111b + 111 c

Factorise

=111(a+b+c)

abc + bca + cab = 111(a+b+c)

Factors of 111(a+b+c)= 1, 3, 37, 111, and (a+b+c)

abc + bca + cab is divisible by a+b+c because it is a factor of 111(a+b+c)

abc + bca + cab is divisible by 3 because 3 is a factor of 111(a+b+c)

abc + bca + cab is divisible by 37 because 37 is a factor of 111(a+b+c)

abc + bca + cab is not divisible by 9 because 9 is not a factor of 111(a+b+c)

Step-by-step explanation:

log54 = log(2×3³)

= log2 + log3³

= log2 + 3log3

Answer:

May-June

Step-by-step explanation:

Notice that:

● during April-May period the Badminton memberships rate of increase is greather then Swimming's since the graph of Badminton is showing a faster increase.

● During June-July period, both functions are decreasing so this period does not satisfy our condition.

● During May-June The Swimming memberships growed faster than Badminton's so its rate of increase is greather than Badminton's.

● during August-September period, The swimming memeberships are increasing slower than Badminton's

So the answer is May-June

Answer:

May-June

Step-by-step explanation:

Answer:

each angle is less than 90 degrees. angle 1+angle2=90 degrees

Step-by-step explanation:

Answer:

The correct option is;

b) 0 sq, units

Step-by-step explanation:

The vertices of the triangle are;

(4, 0), (2, 3), (8, -6)

The distance formula fr finding the length of a segment is given as follows;

[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]

Where, (x₁, y₁) and (x₂, y₂) are the coordinates of the end points of the line

For the points (4, 0) and (2, 3) , we have;

√((3 - 0)² + (2 -4)²) = √13

Distance from (4, 0) to (2, 3) = √13

For the points (4, 0) and (8, -6) , we have;

√((-6 - 0)² + (8 -4)²) = √13 =

Distance from (4, 0) to (8, -6) = 2·√13

For the points (2, 3) and (8, -6) , we have;

√((-6 - 3)² + (8 -2)²) = 3·√13 =

Distance from (2, 3) to (8, -6) = 3·√13

Therefore, the perimeter of the triangle = 6·√13

The semi perimeter s = 3·√13

The area of the triangle,  [tex]A = \sqrt{s\cdot \left (s-a \right )\cdot \left (s-b \right ) \cdot \left ( s-c \right )}[/tex]

Where;

a, b, and c are the length of the sides of the triangle;

[tex]A = \sqrt{3\cdot \sqrt{3} \cdot \left (3\cdot \sqrt{3} -\sqrt{3} \right )\cdot \left (3\cdot \sqrt{3} -2 \cdot \sqrt{3} \right ) \cdot \left ( 3\cdot \sqrt{3} -3\cdot \sqrt{3} \right )} = 0[/tex]

Therefore, the area = 0 sq, units.

Answer:

1.83

Step-by-step explanation:

The standard deviation of given data set rounded to the hundredth place is 2.55

Given data set is: 9, 11, 12, 16

The mean of the data set is 12.

The formula for standard deviation is written as:

[tex]\sigma = \sqrt{{\sum^\:n}_{i=1}{\dfrac{(x_i-\overline{x})^2}{n}}\\[/tex]

here n = 4 and x assumes 9, 11, 12 and 16 and mean is 12, thus putting values in the given formula,

[tex]\sigma = \sqrt{\dfrac{[(9-12)^2 + (11-12)^2 + (12-12)^2 + (16-12)^2]}{4}}\\\sigma = \sqrt{\dfrac{[3^2 + 1^2 + 4^2]}{4}}\\\sigma = \sqrt{\dfrac{26}{4}}\\\sigma = \sqrt{6.5}\\\sigma = 2.549..\\\sigma \approx 2.55[/tex]

Thus, standard deviation of given data set rounded to the hundredth place is 2.55

Learn more here:

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Answer: C.The result is a composite number.

Step-by-step explanation:

A prime number has only 2 factors ( '1' and itself). For example : 2,3,5,..

A composite number has more than 2 factors. For example : 4, 6, 8...

The given expression: [tex]9x-3[/tex]

When x= 7 , the value of the expression will be

[tex]9(7)-3= 63-3=60[/tex]

Since 60 is a composite number [ it is divisible by 2,3,4,5,6,10,12,30,60]

Hence, the correct statement is C.The result is a composite number.

Answer:

C. The result is a composite number.

Sorry! I'm in a rush but I hope you do well on your quiz! Stay brainly :)

Answer: Hi!

Row A: 7, 11, 15, 19, 23

Row B: 51, 42, 33, 24, 15

Row C: 4, 8, 16, 32, 64

Row D: 64, 32, 16, 8, 4

(If you notice, Row C and Row D are just swapped in order!)

Hope this helps!

Hi there! Hopefully this helps!

--------------------------------------------------------------------------------------------------------------

A's rule, add 4: 7, 11, 15, 19, 23

B's rule, Subtract 9: 51, 42, 33, 24, 15

C's rule, Multiply by 2: 4, 8, 16, 32, 64

D's rule, Divide by 2: 64, 32, 16, 8, 4

Answer:

v . w= -13

Step-by-step explanation:

Evaluate the expression: v ⋅ w Given the vectors: r = <8, 1, -6>; v = <6, 7, -3>; w = <-7, 5, 2>

Solution

Given the vectors:

r = <8, 1, -6>

v = <6, 7, -3>

w = <-7, 5, 2>

If you're asking about the dot product.

The dot product is a scalar. It is the sum of the product of the corresponding components.

v.w = (6*-7) + (7*5) + (-3*2)

= -42+35-6

= -13.

Answer:

The correct option is;

SSS congruency theorem

Step-by-step explanation:

Given that opposite sides of a parallelogram are equal, whereby side AB is congruent to side CD and  side BC is congruent to side DA and also that side AC is congruent to side CA, we have;

Triangle ABC with sides AB, BC, and AC is congruent to triangle CDA with corresponding sides CD, DA, and CA, by the Side-Side-Side (SSS) rule of congruency (two or more triangles that have all three sides of one triangle congruent to the three sides of the other triangle are congruent).

The missing reason in the proof is: SSS Congruence Theorem.

Thus, ΔABC and ΔCDA has been shown to have three pairs of congruent sides, therefore, the missing reason in the proof is: SSS Congruence Theorem.

Learn more about SSS Congruence Theorem on:

https://brainly.com/question/14252518

Step-by-step explanation:

Hey, there!!

you number is: 81/625

We know that,

81=9×9

and

625=25×25

and............................................................

9×9 means 9^2

and 25×25 means 25^2

so, the exponential form of the question is,

=[tex] \frac{ {9}^{2} }{ {25}^{2} } [/tex]

{we simply find exponential form by finding their fraction}

Hope it helps...

Answer:

B.

Step-by-step explanation:

First equation: the coefficients of x and y are 3 and -2, and the constant is 4.

So the first row should be [3 -2 4].

Second equation: the coefficients of x and y are 6 and -1, and the constant is 10. Hence, the second row should be [6 -1 10].

Answer:

Step-by-step explanation:

AO = CO = radius

AO = CO  ⇒  AB = BC  and  m∠AOB = m∠BOC = ¹/₂m∠AOC

From BDOE:

m∠EOB + m∠OBC + m∠CDE + m∠DEO = 360°

(65° + 75°) + 90° + x + 90° = 360°

140° + 180° + x = 360°

x = 40°

Answer:

C. Point A lies on ray BC

Step-by-step explanation:

Points A and C can be connected by a segment which would be a measure of the distance between the points. Locating point B between AC, makes the three points lying on segment AC.

A ray extends from a point to infinity, a line extend to infinity on both sides, while a segment is known to have two endpoints. Therefore, points AC are the end points of the segment AC, and point B between this segment confirms that point B lies on the segment AC. Therefore, Point A lies on ray BC is not correct.

ABCDEFGHIJKLMNOPQRSTUVWXYZ

Answer:

Sorry

Correct

Close

Step-by-step explanation:

Answer:

Ivy's definition will go with third comment, Ethan's definition will go with the first comment, hence, Ebuka's definition will go with the second comment.

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

Given : A, B, c are three points.

We know that a plane exist that pass through three points.

So 1 plane exist that pass through points A, B,  and C.

A point (gives location) , a line(gives length) and a plane(2 dimensional flat surface) are 3 undefined terms.

We need two points two make a line and three points to make a plane.

Answer:

Step-by-step explanation:

The answer is 1

Answer:

9.35

Step-by-step explanation:

Using basic trigonometric ratios,

tan X° = opposite/adjacent

but,X° = 12°

opposite = AC.

adjacent = 44

tan X° = AC/44

AC = tan(12°) × 44

AC = 9.35

Answer:

11 mushrooms

Step-by-step explanation:

If Colin has 22 more mushrooms than Sophie, then Sofie has 22 less. Half of 22 is 11, so Colin should have 11 less, and Sophie should have 11 more. If you plug a random value into Sophie's mushrooms, this should still work. For example, if Sophie has 2 mushrooms and Colin has 24, they'll both have 13.

[tex](2n+1)^2=4n^2+4n+1[/tex] therefore, the first blank is 1.

[tex]4n^2+4n+1=2(2n^2+2n)+1[/tex] therefore, the two other blanks are both 2.

The number in the proof ''The square of the sum of two consecutive integers is odd'' is 2 and 2.

To prove that, The square of the sum of two consecutive integers is odd.

The expression to prove is,

Let us assume that two consecutive integers are n and (n + 1).

Hence, the expression is written as,

[n + (n + 1)]² = (2n + 1)²

= (2n)² + 2 × 2n × 1 + 1²

= 4n² + 4n + 1

= 2 (2n² + 2n) + 1

= odd

Therefore, the number in the blanks are 2 and 2.

To learn more about the Number system visit:

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#SPJ4

Answer:

SSS

Step-by-step explanation:

Answer:

SSS

Step-by-step explanation:

Option c or "SSS"

Answer:

2/6 or 3/9

Step-by-step explanation:

1/3 x 2 = 2/6

1/3 x 3 = 3/9

Answer:

2/6 3/9

Step-by-step explanation:

to find equivalent fractions you can just multiply, or count by the denominator for example, 3 , 6 , 9 and so on and then with the numerator you count how much you went like, if you went to sixths than it was 2 because you skip counted.

Answer:

Ok, we know that the driving accuracy is of 71%.

Then the first step is to get a spinner that is enumerated from 1 to 100 (in such way that each number is equispaced)

Now, we can mark a section between numbers 1 and 71. (this regio represents the cases where the shot lands in the fairway) and the unmarked region represents the cases where the shot does not land in the fairway.

Now, for each shot, we can spin our spinner next to a fixed pencil, depending on the section of the spinner that is marked by the pencil when the spinner fully stops, we can guess if the shot landed or not in the fairway.

In this way the shot has the region from 1 to 71 (71%) to land in the fairway

and the region from 72 to 100 to not land in the fairway.

If you want to simulate Sorenstam’s performance in a round of golf where she attempts 15 drives, you need to spin the spinner 15 times, and record the oucomes.

Hey there! I'm happy to help!

Since we are using graphs, we will do not need to algebraically solve this system of equations.

When you graph a system of equations, the solution is always the point at which the two lines intersect.

Here is our system of equations graphed. We see that the lines intersect at about (1 1/3, 2 1/3). Therefore, the correct answer is C. x=1 1/3, y=2 1/3

Have a wonderful day! :D

Answer:

-3

Step-by-step explanation:

First we need to distribute the -4.

-6x+20+4x=26

-2x+20=26

subtract 20 on both sides

-2x=6

divide out -2

x=-3

Answer:  A & C

Step-by-step explanation:

HL is Hypotenuse-Leg

A) the hypotenuse from ΔABC ≡ the hypotenuse from ΔFGH

   a leg from ΔABC ≡ a leg from ΔFGH

   Therefore HL Congruency Theorem can be used to prove ΔABC ≡ ΔFGH

B) a leg from ΔABC ≡ a leg from ΔFGH

   the other leg from ΔABC ≡ the other leg from ΔFGH

   Therefore LL (not HL) Congruency Theorem can be used.

C) the hypotenuse from ΔABC ≡ the hypotenuse from ΔFGH

   at least one leg from ΔABC ≡ at least one leg from ΔFGH

   Therefore HL Congruency Theorem can be used to prove ΔABC ≡ ΔFGH

D) an angle from ΔABC ≡ an angle from ΔFGH

   the other angle from ΔABC ≡ the other angle from ΔFGH

   AA cannot be used for congruence.

Answer:

-7/2

Step-by-step explanation:

cuz thats right

Answer:

Needed to make one band = 3/5 / 6 meters.

The solution is 1/10 meters.

Step-by-step explanation:

The expression is 3/5 / 6

= 3/5 * 1/6

= 3/30

= 1/10

Answer:

6 x (3/5)

1/10

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

2 tangents of a circle drawn from an external point are said to be congruent, according to the two-tangents theorem. Thus:

MN = ML (both tangents from external point M)

ML = 6 - KL

KL = KJ (tangents from point K)

PQ = QJ = 1 (tangents from point Q)

Therefore, KJ = 4 - 1 = 3

Since kJ = KL = 3,

ML = 6 - KL = 6 - 3

ML = MN = 3

Answer:

(2, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ) , [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = (A(5, 8) and (x₂, y₂ ) = B(- 1, - 4) , thus

midpoint = [ [tex]\frac{1}{2}[/tex] (5 - 1), [tex]\frac{1}{2}[/tex] (8 - 4 ) ] = (2, 2 )