I dont know this one

The factor of [tex]$a^{2} b+2 a^{2}+3 b+6$[/tex] exists [tex]$\left(a^{2}+3\right)(b+2)$$[/tex].

Let the given factor be [tex]$a^{2} b+2 a^{2}+3 b+6$[/tex]

To factor this we use the grouping method

We group the first two terms and last two terms then we factor out the greatest common factor (GCF) from each group.

[tex]$\left(a^{2} b+2 a^{2}\right)+(3 b+6)$$[/tex]

Take out GCF from each group

[tex]$a^{2}(b+2)+3(b+2)$$[/tex]

Now factor out b+2, we get

[tex]$\left(a^{2}+3\right)(b+2)$$[/tex]

The factor of [tex]$a^{2} b+2 a^{2}+3 b+6$[/tex] exists [tex]$\left(a^{2}+3\right)(b+2)$$[/tex].

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The midpoint of the given line in coordinate form (x, y) is -0.5, 0)

The midpoint of a line is the middle of the given line. Given the coordinate points (x1, y1) and (x2, y2), the midpoint of the line is given as:

M(x, y) = {x1+x2/2, y1+y2/2}

Given the coordinate points on the line (-2, 1) and (1, -1)

Substitute the given coordinate points into the formula to have:

M(x, y) = {-2+ 1/2, 1-1/2}

M(x, y) = {-1/2, 0/2}
M(x, y) =(-0.5, 0)

Hence the midpoint of the given line in coordinate form (x, y) is (-0.5, 0)

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The correct option of this expression is (B) 2(x-3)(x-4)

What is expression?

Given, expression is ;  2x²-14x+24 = 0

Now take common 2 from  this expression  both side.

        2(  x² - 7x + 12) = 0

          2(x² - (4 +3)x + 12) = 0

        2 (  x² - 4x - 3x + 12) = 0

        2 ( x( x - 4 ) -3 ( x - 4 )) = 0

        2  ( x - 3 ) ( x - 4 ) = 0

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The complete question is -

Select the correct answer. Which expression is equivalent to the given expression? 2x²-14x+24

A.(2x-12)(x-2)

B.2(x-3)(x-4)

C.2(x-8)(x+3)

D.2(x-5)(x-2)

The hypothesis is given as

H0:  μd< 0

H1: μd > 0

The null hypothesis is given as

H0:  μd< 0

H1: μd > 0

SWe have to find the value of s

we would use this formula s = sqrt [ (Σ(di - d)^2 / (n - 1) ]

This gives us  3.454

Next we have to determine the standard error

s / √(n)

3.454/2.8284

= 1.22

Degree of freedom = 8 - 1

= 7

t = (x1 - x2) - D / S.E

=  1.025

Find t critical at 0.10

= 1.895

P-value = 0.1697

d. Given that p value is greater thatn 0.1 we fail to reject the null hypothesis.

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The sum of the complex number in standard form is 8 + 3i

Complex numbers are square roots of negative numbers. The square root of -1 for example is equal to "i" as shown;

√-1 = i

The complex number is written as x + iy. Given the expression

(9 + 6i) − (1 + 3i)

Expand to have:

9 + 6i − 1 - 3i

Collect the like terms

9-1 + 6i - 3i

Group into real and imaginary parts

(9-1) + (6i-3i)

8 + 3i

Hence the sum of the complex number in standard form is 8 + 3i

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The lengths of each side of the triangle LMN are, LM = 4 units, MN = 3.606 units, and NL = 2.236 units.

The lengths of each side of the triangle L'M'N' are, L'M' = 4 units, M'N' = 3.606 units, and N'L' = 2.236 units.

We can conclude that all corresponding sides are equal, and the two triangles are congruent.

All angles must be congruent, as the image L'M'N' has been parallelly translated from the preimage LMN.

The coordinates of the image are L' (-4, 1), M' (-4, 5), and N' (-2, 2). The length of each side of the triangle LMN:

LM = √((2 - 2)² + (-6 - (-2))²),

or, LM = √((0² + (-4)²),

or, LM = √16 = 4 units.

MN = √((2 - 4)² + (-2 - (-5))²),

or, MN = √((-2)² + (3)²),

or, MN = √(4 + 9) = √13 = 3.606 units.

NL = √((4 - 2)² + (-5 - (-6))²),

or, NL = √((2)² + (1)²)

or, NL = √(4 + 1) = √5 units = 2.236 units.

The length of each side of the triangle L'M'N':

L'M' = √((-4 - (-4))² + (5 - 1)²),

or, L'M' = √((0² + (4)²),

or, L'M' = √16 = 4 units.

M'N' = √((-4 - (-2))² + (5 - 2)²),

or, M'N' = √((-2)² + (3)²),

or, M'N' = √(4 + 9) = √13 = 3.606 units.

N'L' = √((-4 - (-2))² + (1 - 2))²),

or, N'L' = √((2)² + (1)²)

or, N'L' = √(4 + 1) = √5 units = 2.236 units.

Now, since LM = L'M', MN = M'N', and NL = N'L', that, is all the corresponding sides are equal, we can conclude that all corresponding sides are equal, and the two triangles are congruent.

Since the triangles are congruent, the image L'M'N' has been parallelly translated from the preimage LMN.

Thus, all angles must be congruent, as the image L'M'N' has been parallelly translated from the preimage LMN.

Every point moves the same amount and in the same direction throughout a translation. As a result of the picture being identical in size and shape to the preimage, a translation is referred to as a rigid transformation or isometry.

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Answer:

the order is Paco, Tim, Jenny, Maria

Step-by-step explanation:

Answer:

b.

Paco, Tim, Jenny, Maria

Step-by-step explanation:

The length of the diagonal of the canvas = 27 inches.

The correct option is D.

A fundamental relationship in Euclidean geometry between a right triangle's three sides is known as the Pythagorean theorem, or Pythagoras' theorem. The area of the square whose side is the hypotenuse is said to be equal to the total of the areas of the squares on the other two sides.

the Hight of the rectangle = 18 inches

the angle it form sinθ = H/P

H = 18

P =

cosθ = 48

cosθ = H/P

cosθ =18/P

P = 18/cosθ

 = 29.60

= 27

The length of the diagonal of the canvas = 27 inches.

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The directrix of the parabola with equation (y + 3)² = 8 · (x - 3) is equal to y = - 5. (Correct choice: B)

According to the given statement, we have a parabola of the form (y - k)² = 4 · p · (x - h), whose axis of symmetry is parallel to the x-axis. The directrix is always perpendicular to the axis of symmetry and therefore the equation of the directrix is equivalent to x = h - p, where p is the distance from the vertex to the focus.  

If we know that the equation of the parabola (y + 3)² = 8 · (x - 3), the equation of the directrix is:

y = - 3 - 2

y = - 5

The directrix of the parabola with equation (y + 3)² = 8 · (x - 3) is equal to y = - 5. (Correct choice: B)

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The list of the possible outcomes for spinning the spinner with four sectors A, B, C, D, and flipping a fair coin goes as follows,

AH, BH, CH, DH, AT, BT, CT, DT

The possible outcomes for spinning a spinner (assuming that the spinner has four sectors, A, B, C, D) are: A, B, C, D  (4 outcomes)

Now, the possible outcomes for flipping a fair coin are: Tales (T) and Heads (H) (2 outcomes)

For each possible outcome of the spinner, there can be two possible outcomes associated, because of the flipping of the fair coin. Hence, the total possible outcomes for spinning the spinner with four sectors A, B, C, D, and flipping a fair coin are 4 × 2, i.e. 8 outcomes.

These possible outcomes are AH, BH, CH, DH, AT, BT, CT, DT.

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The sum of an arithmetic progression with first term of 2 and the common difference of 35 is 2340

Series are defined as the sum of sequence. The formula for calculating the nth term of an arithmetic sequence is expressed as:

S = n/2[2a+(n-1)d]

where;

n is the number of terms

d is the common difference

a is the first term

Given the following parameters from the question

a -2

d = 35

n = 12

Substitute

S = 12/2[2(2)+(12-1)(35)]

S = 6(4+11(35))

S = 6(5+385)
S = 6(390)

S = 2340

Hence the sum of an arithmetic progression with first term of 2 and the common difference of 35 is 2340

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The parentheses role in the sentence of Javier (in spite of his reservations) decided to go to the house party is that it shows a comment the writer is making.

The parentheses is known to be a kind of a word or phrase that is said to be often inserted as a form of an explanation or what we call an afterthought into what the writer is meaning to say or portray.

Note that the statement is not grammatically complete without the use of it hence it is often used in writing and marked off by the use of brackets, dashes, or commas.

Therefore, The parentheses role in the sentence of Javier (in spite of his reservations) decided to go to the house party is that it shows a comment the writer is making.

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Part 1

[tex]m\angle AOB=m\angle BOC[/tex]

Part 2

Since [tex]m\angle AOB=m\angle BOC[/tex] from part 1, we know that since [tex]m\angle AOB=53^{\circ}[/tex], by the transitive property of equality, [tex]m\angle BOC=53^{\circ}[/tex].

Part 3

[tex]m\angle AOC=m\angle AOB+m\angle BOC=53^{\circ}+53^{\circ}=106^{\circ}[/tex]

Answer:

√s(s-a) (s-b) (s-c)

Step-by-step explanation:

123456

herons formula

t is vertical to s because they share a point and are directly across from each other. vertical angles are congruent. therefore s=113 degrees

t and p are corresponding angles, which means they are congruent. this means p is also 113 degrees.

s and o are corresponding angles, so o is also 113 degrees.

t and u are supplementary. they share a straight line, so they add up to 180. you can find u by subtracting 113 from 180. 180-113= 67, so u is 67 degrees.

u and r are vertical angles, so r is 67 degrees.

r and m are corresponding, as well as u and q. therefore m and q both equal 67 degrees.

hope this helped :)

Answer:

24 / 7

Step-by-step explanation:

y - 4(2y - 5) = -4

y - 8y + 20 = -4

-7y = -24

7y = 24

y = 24/7,

y = 3 and 3/7

or

y = 3.428571 all recurring

(they are all the same value in different forms I would just write 24/7)

Step-by-step explanation:

I think the above picture should help

Answer:2x+y=8

3x-2y=5

Step-by-step explanation:multiply 1 st equation by 2

4x+2y=16

3x-2y=5

7x=21

x=21/7

x=3

2×3+y=8

6+y=8

y=8-6

y=2

Answer:  18 cows

Step-by-step explanation: C = how many cows can graze on 720 acres of land. 40(C) = 720. 720/40 = 18 C = 18.

Answer:

40x = 720

x = 18

Step-by-step explanation:

x = number of cows

Answer:

Graph X

Step-by-step explanation:

First, convert the equation into slope-intercept form. The first step is the bring the x to the right side by subtracting 8x from both sides: -y=-8x-4. Now multiply both sides by -1: y=8x+4. Now, if you know about the slope-intercept form, you'll know that 4 is the y-intercept and that [tex]\frac{8}{1}[/tex] is the slope. 8 is the rise and 1 is the run, so the answer is graph X.

Answer: (8,0) and (0,-4)

Step-by-step explanation:

The x-intercept of an equation is when the equation touches the x-axis which is also where y = 0

So the x coordinate of the x-intercept is -2x + 0 = -16 as y = 0

x = 8 so the x-intercept is (8,0)

The y-intercept of an equation is when the equation touches the y-axis which is also where x = 0

So the y coordinate of the y-intercept is 0 + 4y = -16 as x = 0

y = -4 so the y intercept is (0,-4)

The congruence postulate or theorem that is stated is the: C. AAS congruence theorem.

Triangles that are referred to as congruent triangles are triangles that have corresponding congruent sides and corresponding congruent angles.

According to the angle-angle-side congruence theorem (AAS) two triangles are congruent if two angles and a non-included side of one triangle are congruent to two corresponding angles and a non-included side of the other are congruent to each other.

For example, in triangles GUM and RED given in the image attached below, we have the following:

∠G ≅ ∠R [a pair of congruent angles]

∠M ≅ ∠D [a pair of congruent angles]

GU ≅ RD [a pair of non-included congruent side]

Thus, both triangles are congruent by the AAS, which is the congruence theorem that is stated above.

The answer is: C. AAS.

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Answer:

aas

Step-by-step explanation:

Hi there,

please see below for solution steps :

‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗

First let us revise the rounding rules before getting down to the process of rounding :

[tex]\sf{763.9 \ to \ the \ nearest \ whole \ number :}\\\hfill\stackrel{\small\text{add 1 }}{3^{+1}}.\\\hfill\stackrel{\small\text{drop it}}{9}}[/tex]

[tex]\sf{763.9\approx764}[/tex]

‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗‗

Answer:

  (c)  40.5 square units

Step-by-step explanation:

Assuming the kite is oriented so its diagonals are parallel to the sides of the square, each diagonal is 9 units long. The area of the kite is given by an appropriate formula.

A kite is a parallelogram with two pairs of adjacent congruent sides. Its diagonals meet at right angles. One diagonal bisects the other.

The formula for the area of a kite is ...

   A = 1/2(d1)(d2) . . . . . where d1 and d2 are the lengths of the diagonals

In this problem, the inscribed kite has congruent diagonals, both of length 9 units.

The area of the kite is ...

  A = 1/2(9)(9) = 81/2 = 40.5 . . . . square units

The equation 35 = 15-24y represent the growth rate.

According to the statement

we have given that the

A weeping willow that is 15 feet in height grows to a maximum height of 35 feet in y years at a constant rate of 24 inches per year.

And we have to describe all conditions in the equation.

So,

firstly the given height of weeping pillow before growing is 15 feet.

It means the maximum real height it grows is to subtract from the maximum given height it grows.

it means we have to find the growth rate.

real height he grows is = 35-15 = 20 feet

And it grows at the 24 inches per year so, it means it become

24 y

By combining these we get the equations is

35 = 15-24y.

So, The equation 35 = 15-24y represent the growth rate.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

A weeping willow that is 15 feet in height grows to a maximum height of

35 feet in y years at a constant rate of 24 inches per year. Which of the following equations best describes this situation?

A. 37 = 15-24y

B. 35 = 15-24y

C. 35 = 15-22y

D. 39 = 15-27y

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Answer: 35= 15+2y

Step-by-step explanation:

I am taking the Khan Academy Lesson.

Answer:

1

Step-by-step explanation:

(10x + 25) / (3x + 12) = (5x) / (x + 4)

5(2x + 5) / 3(x + 4) = 5(x) / (x +4)

(2x + 5) / 3 = x

2x + 5 = 3x

x = 5

Check.

(10*5+ 25) / (3*5 + 12) = (5*5) / (5 + 4)

75/27 = 25/9

25/9 = 25/9

A sample statistic becomes more accurate as the sample size increases due to the law of large numbers.(option C)

The law of large numbers is a theorem in statistics that states that as the number of experiments increases, the sample mean becomes closer to the theoretical mean. The law of large numbers was first proved by Jacob Bernoulli.

For example, if you carry out an experiment to determine how many students in the US attend high school and the only person you ask tells you he does not attend high school. If you conclude the experiment based on the response of that one person, it is likely that you would conclude that on average, people in the US do not attend high school. If you ask more people, it is likely that your opinion would change and you could come to the conclusion that majority of US citizens attend high school.

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The time it will take Lucas to paint the house using rate is 3 hours

They both paint the same house.

Lucas and Jacob can paint a house in 1 hour working together.

Jacob works alone, he can paint the house in 1.5 hours.

Therefore, the time it will take Lucas to paint the house using rate is as follows:

let

x = time it will take Lucas to paint the house

1 / 1 = 1 / x + 1 / 1.5

1  = 1.5 + x / 1.5x

cross multiply

1.5x = 1.5 + x

1.5x  - x = 1.5

0.5x = 1.5

divide both sides by 0.5

x = 1.5 / 0.5

x = 3

Therefore, the time it will take Lucas to pain the house is 3 hours.

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