82 - 2x - 10 factor each polynomia
l​

Answer:

A

Step-by-step explanation:

Using the congruency for similar triangles, we can find the length of d to be = 21.42m.

Triangles that are similar to one another but may not be exactly the same size are said to be comparable. Similar items are ones whose sizes vary but whose shapes are the same. This demonstrates how shapes superimpose one another when they are amplified or demagnified. "Similarity" refers to this quality of comparable shapes.

Here in the question,

The triangles are similar, so:

The sides are proportional to each other here.

That shows:

d/10 = 45/21

⇒ d = (45 × 10)/21

⇒ d = 450/21

⇒ d = 21.42m.

To know more about similar triangles, visit:

https://brainly.com/question/14926756

#SPJ1

Answer: The actual answer was 21.4

Step-by-step explanation:it won’t let you put in the full decimal

For given functions, The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x).

What is the definition of a function?

A function is a mathematical rule that gives each input value a distinct output value. A function is officially defined as a collection of ordered pairs (x, y) in which each input value x is coupled with exactly one output value y. The domain of the function refers to the input values, while the range refers to the output values. A graph, table, equation, or verbal explanation can all be used to depict a function. When the input value is x, the notation f(x) is commonly used to express the output value of a function f.

Now,

From given function f(x) and g(x)

For f(x) when x=0 then y=1 or y-intercept=1

for g(x), the y-intercept is 1 from equation y=4x+1

and slope of g(x)=4

and slope of f(x)=(11-1)/(2-0)

=10/5

=2

Hence,

           The y-intercept of f(x) is equal to the y-intercept of g(x). The slope of f(x) is greater than the slope of g(x).

To know more about functions visit the link

brainly.com/question/12431044

#SPJ1

Answer:

6 groups

Step-by-step explanation:

Division: 30/5 = 6

Multiplicatio: 6 times 5 = 30

hope it helps, have a nice day~

The value of length of side AB is,

⇒ AB = 5 units

We have to given that;

The figure is shown a trapezoid.

Hence, By using Pythagoras theorem we get;

⇒ AB² = 4² + (5.25 - 2.25)²

⇒ AB² = 16 + 3²

⇒ AB² = 16 + 9

⇒ AB² = 25

⇒ AB = √25

⇒ AB = 5 units

Therefore, The value of length of AB is,

⇒ AB = 5 units

Learn more about the Pythagoras theorem visit:

https://brainly.com/question/343682

#SPJ1

Answer:

1,200 meters.

Step-by-step explanation:

Given that the farmer has a field of 300 meters and he wants to fence it with 4 rounded barbed wire, to determine what is the total length of wire he requires, the following calculation must be performed:

300 x 4 = X

1,200 = X

Thus, the farmer needs 1,200 meters of barbed wire to be able to fence his entire field.

Answer:

\(\boxed{\sf \ a = 1 \ }\)

Step-by-step explanation:

let s assume that a >=0 so that we can take the square root

if \(x-\sqrt{a}\) is a factor of this expression it means that \(\sqrt{a}\) is a root of it

it comes

\(2*(\sqrt{a})^4-2*a^2*(\sqrt{a})^2-3*\sqrt{a}+2*(\sqrt{a})^3-2(\sqrt{a})^2+3=0\)

So

\(2*a^2-2*a^3-3*\sqrt{a}+2*a*\sqrt{a}-2*a+3=0\)

we can notice that 1 is a trivial solution as

2-2-3+2-2+3=0

so the answer is 1

let s double check

if a =1

the expression is

\(2x^4-2x^2-3x+2-2+3=2x^4-2x^2-3x+3\)

and we can write

\(2x^4-2x^2-3x+3=(x-1)(2x^3+2x^2-3)\)

so 1 is the correct answer

The area of the enclosed shape is about 14.47 km^2.

We are given that;

056° for 9.8km and  3.5 km on a bearing of 112°

Now,

We can see that the enclosed shape is a triangle with sides 9.8 km, 3.5 km, and z km, and angles 56°, 112°, and y°. We can use the fact that the sum of angles in a triangle is 180° to find y:

y = 180° - 56° - 112°

y = 12°

Now we can use the cosine rule to find z:

z^2 = 9.8^2 + 3.5^2 - 2(9.8)(3.5)cos(12°)

z^2 ≈ 101.87

z ≈ 10.09

Therefore, Fred is about 10.09 km away from his start point.

To find the area of the enclosed triangle, we can use the sine rule to find x, the height of the triangle:

sin(56°) = x/9.8

x = 9.8 sin(56°)

x ≈ 8.27

The area of a triangle is given by half the base times the height, so:

A = (1/2)(3.5)(8.27)

A ≈ 14.47

Therefore, by trigonometric ratios the answer will be 14.47 km^2.

Learn more about trigonometric;

https://brainly.com/question/21286835

#SPJ1

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

For similar question on probability.

https://brainly.com/question/7965468  

#SPJ8

The image coordinates of NMO after the translation is option d: N′(−5, −6), M′(−2, −5), and O′(−3, −7).

To get the image coordinates of the preimage translated -2 units to the left, we simply subtract -2  from the y-coordinates of each vertex:

N' = (Nx - (-2), Ny) = (−5 , 2- (-2)) = (−5, 4)

M' = (Mx - (-2), My) = (−2 , 1 - (-2)) = (−2, 3)

O' = (Ox - (-2), Oy) = (−3 , 3- (-2)) = (−3, 5)

Therefore, based on the above, the image coordinates of NMO after the translation are N′(−5, 4), M′(-2,3 ), O′(−3, 5)

So the reflected vertices are:

The distance from N to the line y = -2 is 4, and -6 - (-2) = -4, so one need to move down 4 units to have  a y-coordinate of -6.

The distance from M to the line y = -2 is 3, and -5 - (-2) = -3, so  one need to move down 3 units to have a y-coordinate of -5.

The distance from O to the line y = -2 is 5, and -7 - (-2) = -5, so  one need to move down 5 units to have  a y-coordinate of -7.

So it will be: N′ (−5, −6), M′(−2, −5), O′(−3, −7)

Learn more about  image coordinates from

https://brainly.com/question/31020448

#SPJ1

Answer:

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

Given triangle MNO with vertices:

It is reflected in line y = - 2.

This reflection doesn't affect the x-coordinates of the vertices and the y-coordinates change.

Since y = - 2 is the line of symmetry,  it also represents midpoints of the segments formed by corresponding endpoints of image and preimage.

Using midpoint equation, find the y-coordinates.

So the coordinates of the image are:

This is matching the option D.

See attached for visual representation of the problem.

The experimental probability of choosing a student who walks to school is given by 0.15625 or 15.625%.

Given data ,

The experimental probability of choosing a student who walks to school can be calculated by dividing the number of students who walk to school by the total number of students in Joe's class.

Number of students who walk to school = 5

Total number of students in the class = 32

Experimental probability = Number of students who walk to school / Total number of students

= 5 / 32

P = 0.15625

Hence , the experimental probability of choosing a student who walks is 0.15625 or 15.625%.

To learn more about probability click :

https://brainly.com/question/17089724

#SPJ1

The x-intercepts are (4,0)(5,0) of the following graph.

In the context of a graph, an x-intercept is a point where a curve or line crosses the x-axis. It is the point at which the value of y is zero. In other words, the x-intercept is the value of x when the function or equation crosses the x-axis.

To find the x-intercepts of a function, you can set y equal to zero and solve for x. The resulting values of x will be the x-intercepts.

In the context of a graph, a y-intercept is a point where a curve or line crosses the y-axis. It is the point at which the value of x is zero. In other words, the y-intercept is the value of y when the function or equation crosses the y-axis.

To find the y-intercept of a function, you can set x equal to zero and solve for y. The resulting value of y will be the y-intercept.

To know more about x and y intercepts, visit:

https://brainly.com/question/14180189

#SPJ1

In solving by elimination, we have to use either one of the two given equation to express one variable in terms of the other variable. Let's use the first one to express x in terms of y

Now that we have the value of x, we will have to substitute it in the second equation.

Now that we solved for y, we can substitute its value on the expression for x that we derived from the first equation.

In order to check if the values of x and y are correct, we can substitue it in either of the two equations to see if it will satisfy the equation. Let's use the second equation to illustrate this.

The value of x and y that we calculated satisfy the equation. Therefore, the answer is :

The two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

To determine which expressions are less than 7/8, we can compare them individually to 7/8 and evaluate their values.

Let's consider each expression one by one:

7/8 x 9/19:

To compare this expression to 7/8, we multiply the fractions:

(7/8) x (9/19) = 63/152.

Since 63/152 is less than 7/8, this expression is less than 7/8.

7/8 x 3/4:

Multiplying the fractions:

(7/8) x (3/4) = 21/32.

Since 21/32 is less than 7/8, this expression is less than 7/8.

7/8 x 9/9:

The fraction 9/9 simplifies to 1, so the expression becomes:

(7/8) x 1 = 7/8.

Since 7/8 is equal to 7/8 (not less than), this expression is not less than 7/8.

7/8 x 4/3:

Multiplying the fractions:

(7/8) x (4/3) = 28/24.

We can simplify 28/24 to 7/6.

Since 7/6 is greater than 7/8, this expression is not less than 7/8.

Therefore, the two expressions that are less than 7/8 are 7/8 x 9/19 and 7/8 x 3/4.

for such more question on expressions

https://brainly.com/question/12270624

#SPJ8

Julia needs to buy 42 packets of patties to make 500 hamburgers for the school function

An equation is an expression that shows how two or more numbers and variables are related using mathematical operations of addition, subtraction, multiplication, division, exponents and so on.

Hamburger patties are sold in packets of 12. Let x represent the number of packet of patties to be bought to make 500 hamburgers. Hence:

12x = 500

x = 500/12

x = 41.67

x≅ 42

Julia needs to buy 42 packets

Find more on equation at: https://brainly.com/question/2972832

#SPJ1

Answer: 0.4

Step-by-step explanation:

Given: Cumulative exponential distribution:

\(P(x<k)=1-e^{\frac{-x}{k}}\)

As per given,

\(P(x<2)=1-e^{\frac{-2}{k}}=0.381\\\\\Rightarrow\ e^{\frac{-2}{k}}=1-0.381\\\\\Rightarrow\ e^{\frac{-2}{k}}=0.619\\\\\Rightarrow\ {\frac{-2}{k}}=\ln(0.619) \ \ \ [\text{Taking natural log on both sides }]\\\\\Rightarrow\ {\frac{-2}{k}}=-0.47965\\\\\Rightarrow\ k=\dfrac{2}{0.47965}\\\\\Rightarrow\ k=4.17\)

\(P(0.5 < X < 3) \\\\=P(X<3)-P(X<0.5) \\\\=(1-e^{-\frac{3}{4.17}})-(1-e^{-\frac{0.5}{4.17}}) \\\\=e^{-\frac{0.5}{4.17}}-e^{-\frac{3}{4.17}}\\\\= 0.4\)

Hence, the required probability = 0.4

Answer:

Step-by-step explanation:

30

The difference between ANOVA and Z-test Hypothesis is the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

The Z-test becomes possible in  the comparison of the mean of a sample to that of the population. It evaluates if there is statistical relevance in the difference between the mean of a sample and the mean of the whole population

In contrast, ANOVA is employed to contrast the averages of three or more separate groups. This assesses if there is a noteworthy distinction in the averages of said groups. The F-statistic in ANOVA is computed by assessing the disparity in variability between groups and the variability within groups.

In a nutshell, the Z-test is employed to contrast the averages of single or dual populations, whereas ANOVA is utilized for assessing the means across three or more clusters.

Learn more about ANOVA at: https://brainly.com/question/25800044

#SPJ1

SOLUTION:

Step 1:

In this question, we are given the following:

A beach volleyball court is 8 meters wide and 17 meters long.

The rope used for the boundary line costs $1.00 per meter.

How much would it cost to buy a new boundary line for

the court?

Step 2:

The details of the solution are as follows:

Since the beach volleyball is 8 meters wide and 17 meters long.

Then, the boundary line ( perimeter ) =

The rope used for the boundary line costs $1.00 per meter.

CONCLUSION:

The final answer is:

The correct statement is: On a coordinate plane, an absolute value graph has a vertex at (0, 1).

The function p(x) = |x - 1| represents an absolute value function. The vertex of an absolute value function in the form f(x) = |x - h| + k is given by the point (h, k). In this case, the function p(x) = |x - 1| has a vertex at (1, 0).

Therefore, none of the provided options accurately represents the vertex of the function p(x) = |x - 1|. The correct vertex for this function is (1, 0), which means the vertex is at x = 1 and y = 0 on the coordinate plane. It is important to note that the vertex is located at (h, k) where h represents the x-coordinate and k represents the y-coordinate.

For more such questions on graph

https://brainly.com/question/19040584

#SPJ8

m = miles before the tire went flat

so he left the house zipping his way through at 9mph, then heck what the dickens?  a flat tire "m" miles later, man!!! so he turned around back home at 3mph, he had gone "m" miles over, so going back home will be the same "m" back.

We know the trip in total took 8 hours, so if say he took "h" hours on the way over, then on the way back is just "8 - h" hours, namely the slack from 8 and "h".

\({\Large \begin{array}{llll} \underset{distance}{d}=\underset{rate}{r} \stackrel{time}{t} \end{array}} \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ \textit{On his way over}&m&9&t\\ \textit{On his way back}&m&3&8-t \end{array}\hspace{5em} \begin{cases} m=(9)(t)\\\\ m=(3)(8-t) \end{cases} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{using the 1st equation}}{m=9t}\implies \cfrac{m}{9}=t \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{m=3\left( 8-\cfrac{m}{9} \right)}\implies m=24-\cfrac{m}{3}\implies m+\cfrac{m}{3}=24 \\\\\\ \cfrac{4m}{3}=24\implies 4m=72\implies m=\cfrac{72}{4}\implies \boxed{m=18}\)

Answer:

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

  (f(x+h) -f(x))/h = 4h +8x +5

  f'(x) = 8x +5

Step-by-step explanation:

For f(x) = 4x² +5x +3, you want the simplified expression f(x+h), the difference quotient (f(x+h) -f(x))/h, and the value of that at h=0.

Put (x+h) where h is in the function, and simplify:

  f(x+h) = 4(x+h)² +5(x+h) +3

  = 4(x² +2xh +h²) +5x +5h +3

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

The difference quotient is ...

  (f(x+h) -f(x))/h = ((4x² +4h² +8xh +5x +5h +3) - (4x² +5x +3))/h

  = (4h² +8xh +5h)/h

  (f(x+h) -f(x))/h = 4h +8x +5

When h=0, the value of this is ...

  f'(x) = 4·0 +8x +5

  f'(x) = 8x +5

__

Additional comment

Technically, the difference quotient is undefined at h=0, because h is in the denominator, and we cannot divide by 0. The limit as h→0 will be the value of the simplified rational expression that has h canceled from every term of the difference. This will always be the case for difference quotients for polynomial functions.

<95141404393>

Answer:

Slope-intercept form:

\(y=\dfrac12x+\dfrac{13}2\)

Standard form:

\(x-2y=-13\)

Step-by-step explanation:

Point-slope form of a linear equation: \(y-y_1=m(x-x_1)\)

(where \(m\) is the slope and \((x_1,y_1)\) is the point)

Given:

Substituting these values into the point-slope formula:

\(\implies y-4=\dfrac12(x+5)\)

\(\implies y-4=\dfrac12x+\dfrac52\)

\(\implies y=\dfrac12x+\dfrac{13}2\)

Slope-intercept form:

\(y=\dfrac12x+\dfrac{13}2\)

Standard form:

\(x-2y=-13\)

Answer:

False

Step-by-step explanation:

Time taken to cover path around the park if he runs at speed 5miles/hour is 15.96min

What is Speed ?

Speed indicates how quickly something or someone is moving. If you know how far something has traveled and how long it took to get there, you can calculate its average speed. Speed is calculated as follows: speed = distance x time.

Given that,

Time taken when Bob runs 4miles/hour = 20min

Time taken when Bob runs 5miles/hour = ?

First we have to find the distance of the path around the circle

Distance = speed x time

               = 4 x 20/60

               = 4/3 miles

               = 1.33 miles

Now to calculate the time when he ran 5 miles/hours:

Time = distance / speed

         = 1.33 / 5

         = 0.266hours

0r

         = 0.266 x 60 min

         = 15.96 min

Hence, its will take 15.96min to cover the path around the park

To learn more about Speed click on the link

https://brainly.com/question/13943409

#SPJ9

Answer:

m will be the right answer

Apply the Pythagorean Theorem. The Pythagorean Theorem states that in a right triangle, a^2 + b^2 = c^2 where c is the hypotenuse.

a^2 + b^2 = c^2
8^2 + 5^2 = c^2
64 + 25 = c^2
89 = c^2
√89 = √c^2
c = √89

Answer:

30244

Step-by-step explanation:

The length of side x is approximately 24.87, rounded to the nearest hundredth.

how can we find side of the triangle?

To find the length of side x, we can use the sine function, which relates the opposite side to an angle to the hypotenuse:

sin(11°) = opposite side/hypotenuse

Rearranging this equation, we get:

opposite side = sin(11°) * hypotenuse

We know that the hypotenuse has a length of 130, so we can substitute that in:

opposite = sin(11°) * 130

Using a calculator, we can evaluate sin(11°) to be approximately 0.1919, so we can substitute that in as well:

opposite = 0.1919 * 130

Simplifying this expression, we get:

opposite ≈ 24.87

Therefore, the length of side x is approximately 24.87, rounded to the nearest hundredth.

To know more about hypotenuse:

https://brainly.com/question/12006293

#SPJ1