Select the reason why these triangles are
similar. If they are not, select "Not similar."
88°
62°
88°
30° help asap this is my last question

The average rate of change of the function f(x)  = 8x² - 6 is given as  8h + 16x

It quantifies how much the function changed per unit on average throughout that time span. The slope of the straight line connecting the interval's ends on the function's graph is used to calculate it.

f(x) = 8x^2 - 6

Avge rate : [ f(x+h) - f(x)]/(x +h - x)

f(x+h) = 8(x+h)^2 - 6

f(x) = 8x^2 - 6

f(x+h) - f(x) = 8x^2 + 8h^2 + 16xh + 6 - 8x^2 -6 = 8h^2 + 16xh

Avg rate = ( 8h^2 + 16xh)/h

= 8h + 16x

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The average rate of change of the function over the interval is 8(b + 1)

The given parameters are

Function: f(x) = 8x^2 - 6

Interval: [1, b]

Calculate f(1) and f(b) using the function definition

So, we have

f(1) = 8(1)^2 - 6 = 2

f(b) = 8(b)^2 - 6 = 8b^2 - 6

The average rate of change of the function over the interval is then calculated as

Rate = [f(b) - f(1)]/[b - 1]

This gives

Rate = [8b^2 - 6 - 2]/[b - 1]

Evaluate

Rate = [8b^2 - 8]/[b - 1]

Factorize the numerator

Rate = [8(b + 1)(b - 1)]/[b - 1]

Divide through by b - 1

Rate = 8(b + 1)

Hence, the average rate of change of the function over the interval is 8(b + 1)

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Answer:

4(2+3) is the answer

Step-by-step explanation:

Those are both factors of 8 and 12 and it is re written.

4(2+3)

4*2 + 4*3

8+12

Answer:

[tex](x+3)^2=-4(y-3)[/tex]

Step-by-step explanation:

Standard form of a parabola with a vertical axis of symmetry

[tex]\large\boxed{(x-h)^2=4p(y-k) \quad \textsf{where}\:p\neq 0}[/tex]

[tex]\textsf{Vertex}=(h, k)[/tex]

[tex]\textsf{Focus}=(h,k+p)[/tex]

[tex]\textsf{Directrix}:y=(k-p)[/tex]

[tex]\textsf{Axis of symmetry}:x=h[/tex]

If p > 0, the parabola opens upwards.

If p < 0, the parabola opens downwards.

From inspection of the given graph:

Therefore:

Substitute the found values of h, k and p into the formula:

[tex]\implies (x-(-3))^2=4(-1)(y-3)[/tex]

[tex]\implies (x+3)^2=-4(y-3)[/tex]

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Answer: $455

Step-by-step explanation:

I would think you would divide 260 by 4 and that would get you 65 and then multiply 65*7 and that would be $455

Th number of tiles the students need is 512.

The first step is to convert feet to inches

1 feet = 12 inches

The next step is to convert the dimensions of room 111 to inches

8 x 12 = 96 inches

16 x 12 = 192 inches

Now, determine the area of the room and the tiles.

Area = length x width

Area of the room = 96 x 192 = 18,432 in²

Area of the tile = 6 x 6 = 36 in²

Number of tiles needed = 18,432 in² / 36 in² =512

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Answer:

Nickels x = 11 and pennies y = 9

Step-by-step explanation:

According to the question, Pat wants to buy four donuts.

Let us assume donuts should be represented as ’D’. And the four donuts can be represented as ‘DDDD’.

Now, as per the question, there are three types of donuts and they are glazed, chocolate and powdered. Divide the donut into two parts as first one is glazed, second is chocolate and third is powdered. And the quantity of glazed is one, chocolate is two and powdered is one. And the total object is six. Therefore, the probability can be written as:

[tex]P(E) = \frac{6P2}{2} = 15 ways.[/tex]

Hence, there are [tex]15[/tex] ways to select the donuts.

What is Probability?

The term probability means the study of the occurrence or the outcomes of the event. It is the measurement of the events that occurred during events. And many uncertain events cannot be measured.

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Answer:

50%

Step-by-step explanation:

theres always a 50% chance of getting either a head or a tail

Answer:

54º, 108º and 18º respectively

Step-by-step explanation:

Answer:

-21 If that is a option

Step-by-step explanation:

Answer: I hope this helps.

Step-by-step explanation:

Translate △XYZ  9 units to the right and then 11 units down to get △JLK.

We need to map △XYZ to △JLK.

From the figure, △XYZ  is in the 2nd quadrant and  △JLK is in the 4th quadrant.

Also it is clear that side XY is mapped to JK, YZ to KL and XZ to JL.

To find the distance translated to the right we need to find the distance between the x- coordinates of the corresponding points of the two triangles as they are congruent.

Consider Y and K. The x- distance between Y and K = 6 - - 3 = 9 units.

So first 9 units translation to right.

Similarly, To find the translation downwards, we need to find the distance between the y-coordinates of Y and K.

y-Distance between Y and K = 1- -10 = 11 units.

So next 11 units translation to down.

This will give the △JLK from  △XYZ .

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Answer:

2946

Step-by-step explanation:

I don't know and iam not sure in that

The length of a bacterial cell is about 5.36 x104 m, and the length of an amoeba cell is about 6.2 x 104 m.

Thus length of a bacterial cell is 0.864 times of length of an amoeba cell.

Given that the length of a bacterial cell is about 5.36 x 10⁻⁴ m, and the length of an amoeba cell is about 6.2 x 10⁻⁴ m.

Ratio of the size of the cell is

B/A = 5.36 x 10⁻⁴/6.2 x 10⁻⁴

B/A = 5.36/6.2

      =  0.864

Thus length of a bacterial cell is 0.864 times of length of an amoeba cell.

micro organism are prokaryotes, lacking nicely-defined nuclei and membrane-sure organelles, and with chromosomes composed of a unmarried closed DNA circle. they come in many sizes and styles, from minute spheres, cylinders and spiral threads, to flagellated rods, and filamentous chains.

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Answer:

in 11 1 is greater in 12 they are equal

Step-by-step explanation:

Triangle OCE is congruent to Triangle OVE.

triangle LAP is congruent to triangle YAP.

9.

Triangle OCE is congruent to Triangle OVE

side CE=CV

angle COE= angle VOE

angle C = angle V

By AAS congruency Triangle OCE is congruent to Triangle OVE.

10.

angle LAP =angle YAP

AP common side

LA=PY

By SAS congruency so triangle LAP is congruent to triangle YAP.

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The equation of the line is (y + x = 0).

The slope of a line indicates its steepness in addition to its direction.

m = Δy/Δx

where, m is the slope

And, tan θ = Δy/Δx

The above tan is also known as the line's slope.

The slope of a line can also be calculated just using two straight line points. The slope of line formula could then be used with two point coordinates.

Now, in response to the question;

P₁ = (x₁, y₁)

P₂ = (x₂, y₂)

Then slope will be;

Slope = m = tan θ = (y₂ - y₁)/(x₂ - x₁)

Consider the values given in the question;

(x₁, y₁) = (-1,-3) and,

(x₂, y₂) = (1,-5).

Put the values in the formula of the slope;

Slope = m = (-5 + 3)/(1 + 1)

m = -2/2

m = -1

Thus, the slope of the line is -4.

Now, the formula for finding the equation of line using the two points system.

(y - y₁) = m(x - x₁)

(y + 3) = (-1)(x + 1)

y + 3 = -x - 1

y + x + 4 = 0.

Therefore, the equation of the line using two point system is calculated as (y + x = 0).

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The error in the subtraction process is that 0.1 is not added to the 0 in the hundredth place of the term 3.5, so as to enable 0.06 to be subtracted from it.

The correct equation is as follows;

3.5 - 2.46 = 1.04

The given equation that has an error is presented as follows;

3.5 - 2.46 = 1.16

The description of the error in the above equation is that during subtraction, the 0.06 value on the right of the subtraction mark is not subtracted from the zero to the right of .5, and carried down.

The correct process for the subtraction is presented as follows;

3.5¹0

- 2.46

1.04

Therefore;

3.5 - 2.46 = 1.04

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Answer: 3 = b (maybe, usually unsure)

Step-by-step explanation: bing

y = mx + b, this is the formula.

b = y-intercept
m = slope

1. We know that (-1,6) is our pair.

2. The formula when written with the info is y = -3x + b

3. We know that -1 is the x and the y is 6, so subbing the x and y in the formula, it is 6 = -3(-1) + b.

4. When multiplied, it becomes 6 = 3 + b

5. Then we combine like terms, by subtracting 3 into 6, making 3 = b

6. So, it is 3 = b

A parallelogram has an area of 20 units².

Solution:

Explanation:

Using the distance formula, calculate the length of the base b:

[tex]\begin{aligned}&\mathrm{d}=\sqrt{\left(\mathrm{y}_2-\mathrm{y}_1\right)^2+\left(\mathrm{x}_2-\mathrm{x}_1\right)^2} \\&\mathrm{~b}=\sqrt{(3-0)^2+(5-0)^2}=\sqrt{9+25}=\sqrt{34}\end{aligned}[/tex]

Using the perpendicular distance from a line to a point formula, calculate the height h:

Determine the baseline:

In Ax + By + C = 0 form, the bottom line is:

[tex]\begin{aligned}&\frac{3}{5} \mathrm{x}-\mathrm{y}=0 ; 5\left(\frac{3}{5} \mathrm{x}-\mathrm{y}=0\right)=3 \mathrm{x}-5 \mathrm{y}=0\\&\mathrm{A}=3 ; \mathrm{B}=-5 ; \mathrm{C}=\mathrm{O}\\&h=\frac{|3 \cdot 0+(-5) \cdot 4+0|}{\sqrt{3^2+(-5)}}=\frac{|-20|}{\sqrt{9+25}}\\&\mathrm{h}=\frac{20}{\sqrt{34}}\\&\mathrm{A}=\mathrm{bh}=\sqrt{34} \cdot \frac{20}{\sqrt{34}}=20 \text { units }^2\end{aligned}[/tex]

Therefore, a parallelogram has an area of 20 units².

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The complete question is given below:

In this problem, you will explain using simple plane geometry how to compute the area of a parallelogram in terms of cartesian coordinates.

Answer:

6

Step-by-step explanation:

1-3=-2

-2+8=6

The probability of getting a sum of at least 9 is 0.277 and the probability of the two dice show the same result is 0.166

The sample space for the pair of fair dice is { (1,1), (1,2), (1,3), (1,4), (1,5), (1,6), (2,1), (2,2), (2,3), (2,4), (2,5), (2,6), (3,1), (3,2), (3,3), (3,4), (3,5), (3,6), (4,1), (4,2), (4,3), (4,4), (4,5), (4,6), (5,1), (5,2), (5,3), (5,4), (5,5), (5,6), (6,1), (6,2), (6,3), (6,4), (6,5), (6,6)}

The probability of getting a sum of at least 9 =no of outcomes whose sum is 9 or more / no of elements of sample space

 = 10/36

=0.277

The probability of the two dice shows the same result = no of elements having the same result/ total number of outcomes

=6/36

=0.166

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The length of the arc of the partial circle is 18.84 units.

As per the question statement, we are supposed to find out the length of the arc of the partial circle as given in the figure provided.

Before solving this question, we need to know the formula for calculating the arc length of the circle i.e.,

Arc Length = [tex]2\pi r(\frac{\alpha }{360} )[/tex]

where [tex]\alpha[/tex] is the angle provided between the arc end in degrees

[tex]r[/tex] is the radius of the given circle in given units and

[tex]\pi =3.14[/tex]

In the given circle, the angle subtended by the arc is complete angle minus 90 degrees i.e.,

[tex]\alpha =360 - 90 = 270 degrees[/tex]

radius [tex]r[/tex] = 4 units (given)

Therefore Arc Length = [tex]2\pi r(\frac{\alpha }{360} )[/tex]

[tex]= 2*3.14*4*(\frac{270}{360})\\ =25.12(0.75)\\=18.84 units[/tex]

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Answer:

yes. because every time it is turned it should equal out to be the same angle as the last

The graphs of the function is attached below.

The transformation used by the is function is that the function is stretched and a vertical shift of 3 units downwards.

The given graph is y = 2 x³ - 3

To understand the transformation we have to find the parent function.

For this graph the parent function is given by:

y = x³

So let us transform the graph to y=2x³  , the graph is stretched 2 times.

Now let us use the final function y = 2 x³ - 3 , here the graph is vertically shifted downwards.

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Simple Random ford wants to administer a satisfaction survey to its current customers. using their customer​ database, the company randomly selects customers and asks them about their level of satisfaction with the company.

What is an example of a basic random sample?

Is a straightforward random sample representative?

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Answer:

-3 is in between - 2 and - 4, - 9 is in between - 8 and - 10

follow and likes and plot the point (-3,-9)

Answer:

your dot will be next to -10

Step-by-step explanation:

Actors that can be manipulated by humans or artificial intelligence (AI) all descend from the Pawn class. A player or AI entity's physical representation in the world is called a "Pawn." This means that the player's or AI entity's physical interactions with the outside environment, such as collisions and other physical interactions, are likewise controlled by the Pawn. This can be perplexing in some situations because some game types might not have an obvious player mesh or avatar. Regardless, the Pawn continues to reflect a player or other entity's actual position, rotation, etc. within the game. A unique class of Pawn that can move around is called a Character.

The default relationship between Controllers and Pawns is one to one, which means that each Controller can only have one Pawn under their control at any given moment. Additionally, a Controller does not necessarily hold a Pawn that spawns while a game is being played.

When someone is manipulating you, they are likely mentally forcing you to do something you don't truly want to do, the expert claims. You may feel compelled to do it, afraid to do it, or guilty if you don't.

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Answer: False

Step-by-step explanation:

4 x 10^6 = 4000,000

400,000 is 4 x 10^5

Answer:

False

Step-by-step explanation:

10^6=1,000,000   ==> 10^6 has 6 zeros after the '1', making 10^6=1 million.

4*10^6=4,000,000, not 400,000

Answer:

3 terms

Step-by-step explanation:

3, y and ^2 are all terms in the expression