Solve the equation. Write the smaller value of x. x^2-4x-5=0

While E will increase, C and D won't change.

A coordinate system is a method for determining how to position points or other geometrical objects on a manifold, such as Euclidean space, uniquely using one or more numbers, or coordinates.

Due to the fact that the circle's equation is,

Nevertheless, we are aware of the circle's equation.

                           [tex]x^{2}+y^{2}+C x+D y+E=0[/tex]

(By figuring out the circle's equation[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex], where r is the radius and (h,k) is the center)

                         [tex]x^{2}+y^{2}+2 h x+2 k y+\left(h^{2}+k^{2}-r^{2}\right)=0[/tex]

The following equation is compared to the generic equation above.

Our results are C = 2h, D = 2k, and E [tex]=\left(h^{2}+k^{2}-r^{2}\right)[/tex]

As a result, C will be unchanged if r lowers ( because C is free from r)

D won't be effected ( because D is also free from r)

E will, however, rise if r falls.

E[tex]=\left(h^{2}+k^{2}-r^{2}\right)[/tex]

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331.5 inches²  is the area of the octagon, rounded to the nearest square inch.

What is octagonal in shape?

Solving for an area of a regular octagon, we can make use of the formula shown below:

Area = 1/2 × apothem × perimeter

In this problem, the following values were given such as:

Apothem = 10 inches

Perimeter = 66.3 inches

Put the values in the formula

Area = 1/2 × 10 × 66.3

Area = 331.5 inches²  

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Answer: C). 332 in.2

Step-by-step explanation:

on edg

Answer:

  BD = √97 cm ≈ 9.849 cm

Step-by-step explanation:

Diagonal BD of rectangle ABCD is the hypotenuse of right triangle ABD. Opposite sides of the rectangle are the same length, so we have ...

  AB = 4 cm

  AD = 9 cm

The sides are related to the diagonals by the Pythagorean theorem.

The Pythagorean theorem tells you the relation between sides and hypotenuse of a right triangle:

  AB² +AD² = BD²

  4² +9² = BD² = 16 +81 . . . . . evaluating the squares

  BD = √97 . . . . . take the square root

The length of BD is √97 cm, about 9.849 cm.

Answer:

distance = 10

2/7 /(22) = 10

Answer:

8 pi yd.

Step-by-step explanation:

The circumference of a circle can be calculated as follows:

c = [tex]2 \cdot \pi \cdot r[/tex]

Where r is the radius of the circumference.

So in our case:

c = [tex]2 \cdot \pi \cdot 4yd = 8\cdot \pi[/tex] yd.

The circumference of the circle, in the attached image is approximately 25.1 yards.

To find the circumference of a circle, you can use the formula:

Circumference = 2 * π * radius

where π = 3.14159.

Given the radius of the circle is 4 yards, the circumference can be calculated as follows:

Circumference = 2 * 3.14159 * 4 yards ≈ 25.13272 yards

Now, rounding to the nearest tenth, the circumference of the circle is approximately 25.1 yards.

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Answer:

( 5 , 5 )

Step-by-step explanation:

→ Add 2 the x coordinates together

- 4 + 14 = 10

→ Divide answer by 2

10 ÷ 2 = 5

→ Add the 2 y coordinates together

10 + 0 = 10

→ Divide answer by 2

10 ÷ 2 = 5

Answer:

(5, 5 )

Step-by-step explanation:

given points (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex] , [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

here (x₁, y₁ ) = (- 4, 10 ) and (x₂, y₂ ) = (14, 0 ) , then

midpoint = ( [tex]\frac{-4+14}{2}[/tex] , [tex]\frac{10+0}{2}[/tex] ) = ( [tex]\frac{10}{2}[/tex] , [tex]\frac{10}{2}[/tex] ) = ( 5, 5 )

Answer:

is there a picture I can look at?

Answer: Line

Step-by-step explanation:

The length of the diameter formed is in the image given is: 10 ft.

The diameter of a circle is the line segment that divides the circle into two equal halves. The diameter divides the circle into semicircles. Also, the diameter of a circle is twice the length of the radius of a circle.

If we know the length of the radius, we can determine the length of the diameter of a circle by multiplying the radius by two. On the other hand, if we know the length of the diameter, to find the length of the radius, divide the diameter by 2.

The image of the circle showing the shelf and the brace line, which is the diameter are shown below.

To find the diameter of the window, add the length of the horizontal shelf and length of the brace. Thus:

Length of the diameter of the window = 8 + 2

Length of the diameter of the window = 10 ft

Thus, the length of the diameter formed is: 10 ft.

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Answer:

10 ft

Step-by-step explanation:

The equation be x/100 [tex]*[/tex] 28,600 = 33,500, then we get 17%.

Trevor's total employee benefits exists 17.1% of his gross pay.

Therefore, the correct answer is option d. 17.1.

If you would like to know Trevor's total employee advantages, you can estimate this utilizing the subsequent steps:

To find the percentage of the total employee benefits x% of $28,600 exists $33,500.

To estimate the value of x, bring the variable to the left side and bring all the remaining variables to the right side. Simplify the values to estimate the result.

x/100 [tex]*[/tex] 28,600 = 33,500

x = 33,500 [tex]*[/tex] 100 / 28,600

x = 117.13% = 117%

117% - 100% = 17%

x = 17%

The correct result would be 17%.

Trevor's total employee benefits exists 17.1% of his gross pay.

Therefore, the correct answer is option d. 17.1.

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Answer:

It is D

Step-by-step explanation:

Answer:

1) (3,1)

2) (4,1)

3) No solution

Step-by-step explanation:

The solution is point where the graphs cross.  It is a little hard to see the pictures, but I think that I have the right ordered pairs.  The ordered pairs are in the order (x,y).  The x tells you how far (in these cases), the point is right of the origin (0,0 the middle of the whole graph).  The y tells us (in these cases) how high the point is from the origin (0,0).

The last answer has no solution because the lines are parallel and they do not cross.

Answer:

10 ounces

Step-by-step explanation:

Answer:

  9.09 ounces

Step-by-step explanation:

The added water can be calculated by writing an equation for the amount of iodine in the diluted solution.

Let x represent the number of ounces of water added to the 60% solution. The total amount of iodine in the mixture is ...

  0.60(100) +0(x) = 0.55(100+x) . . . . . ounces of iodine in the mix

Simplify the equation:

  60 = 55 +0.55x

  5 = 0.55x . . . . . . . subtract 55

  x = 5/0.55 ≈ 9.09

9.09 ounces of pure water must be added to produce a 55% solution.

The probability of obtaining the number of successes indicated in problems 51–58 is 0.42.

Probability is absolutely how in all likelihood something is to happen. every time we're unsure about the final results of an occasion, we can talk about the chances of sure results—how in all likelihood they may be. The analysis of occasions ruled by using probability is called facts.

The opportunity of an event may be calculated with the aid of the opportunity formula by means of truly dividing the favorable wide variety of results by way of the overall variety of feasible effects.

Probability is the department of mathematics regarding numerical descriptions of ways possibly an occasion is to occur, or how likely it's miles that a proposition is actual. The chance of an event is more than a few between zero and 1, in which, roughly talking, 0 shows the impossibility of the event and 1 suggests fact.

Cells x doute the no of surrell and

"p' denotes the probability of turrets

D= 5

H=pkin = 50-xo-5 = 250

σ = SD(X) = √√rbg

= √√5=x05x=5 = 14.№33

The probability of obtaining $45-26

= P(-5-250 < x-M 22605-250)

14.233

= P(-03864 < 2 2 0-7332)

8.4200

0.42

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The exponential function represented on the graph is defined by the following rule:

[tex]y = 3 \times 2^x[/tex]

An exponential function is modeled by:

[tex]y = ab^x[/tex]

In which:

From the graph, we get that when x = 0, y = 3, hence the initial value is of a = 3. Then the temporary definition is:

[tex]y = 3b^x[/tex]

Also from the graph, when x = 1, y = 6, hence we can apply to the definition to find b.

[tex]6 = 3b^1[/tex]

3b = 6

b = 2.

Hence the function is:

[tex]y = 3 \times 2^x[/tex]

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If joseph sells his home,  profit will he make = (a)  $79720

What is profit and its example?

Profit earned on the house if he sells = $79720

Amount paid by Joseph for his home = $105000

His house has increased its property value by 2.0% every year

So, Property cost after 20 years :

[tex]Cost = 105000 * (1.02)^{20}[/tex]

Cost = 105000 × 1.4859

Cost = 156020

Also, Due to renovations and improvements to the house, the property cost is increased by $28700

So, Total cost of the house after 20 years = 156020 + 28700

                                                                     = $184720

So, Profit earned on the house if he sells = 184720 - 105000

                                                                      = $79720

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Answer:a)  $79720

Step-by-step explanation:edge

The sentence "If this is the last chance you have to speak to him, what do you want to tell him" will be the best response from the leader.

This refers to the act of imitating the character and behaviour of someone who is different from yourself which an example is a training exercise which involves imitating of another people.

Sometimes, during the role play, the member of the group can run out of words while presenting a role, hence, as the member states, "i don’t know what to say to my father", the sentence "If this is the last chance you have to speak to him, what do you want to tell him" will be the best response from the leader to induce the member to talk.

Therefore, the Option C is correct.

Missing word "a. What or whom do you want to get away from? b. What made you come if you didn't want to be here today? c. If this is the last chance you have to speak to him, what do you want to tell him? d. What do you imagine will happen if you don't talk about it?"

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Answer:

Below in bold.

Step-by-step explanation:

Part A

At the x-intercepts  f(x) = 0, therefore:

2x^2 - 3x - 5 = 0

(2x - 5)(x + 1) = 0

x = 5/2, -1)

So the x intercepts are (-1, 0) and (5/2, 0).

Part B

The Coefficient  of x^2 is positive ( it is 2) So the graph opens upwards and the vertex will be a minimum.

Convert f(x) to vertex form, by completing the square:

f(x) = 2x^2 - 3x - 5

= 2(x^2 - 3/2x) - 5

= 2[(x - 3/4)^2 - 9/16] - 5

= 2(x - 3/4)^2 -18/16 - 80/16

= 2(x - 3/4)^2 - 49/8

So the coordinates of the vertex are

(3/4, -49/8)  or

(0.75, -6.125) in decimal form.

Part C

To graph f(x) you would first mark the points on the x axis which we found in Part 1 and the vertex found in Part 2. This vertex will be the bottom of the 'U'.

The graph is a parabola shaped roughly like a U, and will be symmetrical about the line x = 0.75 (which passes through the vertex).

You would also plot 2 more points above the x axis so as to get an accurate graph. 1 would be to the left of the line of symmetry and 1 to its right.

Suggest   x = - 2  and calculate f(-2) = 2(-2)^2 - 3(-2) - 5 =  11.

- that is the point (-2,11) and the other would be  x = 4,  f(x) = 15. (4, 15)

Once you have plotted these points draw a smooth u shaped curve through them.

Answer:

Step-by-step explanation:

Hello!

apply distributive law

[tex]a(b - c) = ab - ac[/tex]

2(3-8y)=2.3-2.8y

=6-16y

Hope it helps!

Using the midpoint formula, the coordinates of the other endpoint, V is: B. (10, -25.8).

To find the coordinates of the midpoint of a segment, the midpoint formula is used, which is expressed as: M(x2 + x1/2, y2 + y1/2).

Given one endpoint of UV as, U(21.6, -8.2), and a midpoint of M(15.8, -17), let:

U(21.6, -8.2) = (x1, y1)

V(x, y) = (x2, y2)

Plug in the values into M(x2 + x1/2, y2 + y1/2):

M(15.8, -17) = (x2 + 21.6/2, y2 + (-8.2)/2)

Solve for x2

15.8 = (x2 + 21.6)/2

Multiply both sides by 2

2(15.8)= (x2 + 21.6)/2 × 2

31.6 = x2 + 21.6

Subtract both sides by 21.6

31.6 - 21.6 = x2 + 21.6 - 21.6

10 = x2

x2 = 10

Solve for y2:

-17 = (y2 + (-8.2))/2

Multiply both sides by 2

2(-17) = (y2 + (-8.2))/2 × 2

-34 = y2 + (-8.2)

-34 = y2 - 8.2

Add 8.2 to both sides

-34 + 8.2 = y2 - 8.2 + 8.2

-25.8 = y2

y2 = -25.8

The coordinates of the other endpoint, V is: B. (10, -25.8).

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Answer: B

Step-by-step explanation: edge2023

Check the picture below.

The solution to the following mathematical problems are;

Solve using

BODMAS

5² -3⁴ / (2³-5)(6² ÷ 9)

= 25-81 / (8-5)(36÷9)

= -56 / (3)(4)

= -56/12

= - 14/3

20² ÷ {3(5-9)² + 2}

= 400 ÷ {3(-4)² + 2}

= 400 ÷ {3(16) + 2}

= 400 ÷ (48+3)

= 400 ÷ 50

= 8

84/12 + (5-7)² -72 ÷ 6×2

= 7 + (-2)² - 12 × 2

= 7 + (4) - 24

= 11 - 24

= -13

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Answer: Step 1

Step-by-step explanation: The order of operations states that multiplication must be done before addition. However, in step 1, 3x3-2 turns into 3x1 which is wrong. It should be 9-2 because you need to do the multiplication first.

Considering the box-plots, the means for the data-sets are given as follows:

Each shows the number of times each measure appears.

Hence, the mean of data-set A is given as follows:

mA = (3 + 4 x 3 + 5 x 2 + 6 x 2 + 7 x 3 + 8)/(1 + 3 + 2 + 2 + 3 + 1) = 5.5.

For data-set B, the mean is:

mB = (2 x 4 + 2 x 5 + 2 x 6)/(2 + 2 + 2) = 5.

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There are 680 combinations of four teachers include Mrs. Vera(only)

The given parameters are

Teachers, n = 18

Selected teachers. r = 4

The selection must include Mrs. Vera.

So, the remaining parameters are:

Teachers, n = 17

Selected teachers. r = 3

The combination is then calculated as:

Ways = nCr

This gives

Ways = 17C3

Apply the combination formula

Ways = 17!/(14!3!)

Evaluate the expression

Ways = 680

Hence, there are 680 combinations of four teachers include Mrs. Vera(only)

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Answer: [tex]512a^{15}[/tex]

Step-by-step explanation:

[tex](a^5*2^3)^3[/tex]

First, lets solve the inside of the parenthesis

[tex](a^5*8)^3[/tex]

Now, distribute the power of 3 to both terms. Remember taking a power of an exponent is like multiplying them (in this case [tex](a^5)^3=a^{15}[/tex]

[tex]a^{15}*512[/tex]

Simplify

[tex]512a^{15}[/tex]

Answer:

m∠6 = 54°

Step-by-step explanation:

Given the diagram, we know that line b is a straight line and angles 1 (the angle measuring 13x + 9°) and 2 are supplementary angles and thus add up to 180.  

We also know angles 2 and 7 (the angles measuring 5x + 9°) are alternate exterior angles and are therefore congruent.

So since angle 2 = 5x + 9, we can do:

13x + 9 + 5x + 9 = 180

18x + 18 = 180

18x = 162

x = 9

Angles 7 and 6 are also congruent plugging x into angle 7 also gives us the measure of angle 6:

5(9) + 9 = 45 + 9 = 54°

Answer:

28

Step-by-step explanation:

Tangent is a line that touches the circle at one point and is perpendicular to the radius. Circle A has radius AB and tangent CB, so AB is perpendicular to CB. Therefore triangle ABC is a right angle, with angle B measuring 90 degrees. Since interior angles of a triangle add up to 180 degrees, measure of angle A is 180 - 90 - 62 = 28 degrees.

Answer:

D

Step-by-step explanation:

Pq=opp/hyp

(135+12)=180

The probability for at least 1 page is 0.667 .

Probability is the department of arithmetic concerning numerical descriptions of the way likely an event is to occur, or how probable it is that a proposition is actual. The probability of an event is a number between 0 and 1, where, roughly speaking, zero shows the impossibility of the event, and 1 suggests truth.

Possibility = the wide variety of methods of achieving success. The whole wide variety of possible outcomes. As an example, the opportunity of flipping a coin and its being heads is ½ because there's 1 way of having a head and the total quantity of viable outcomes is 2 (a head or tail). We write P(heads) = ½.

The form opportunity is from old French probability (14 c.) and at once from Latin probabilities (nominative probabilitas) "credibility, possibility," from probabilistic (see likely). The mathematical sense of the time period is from 1718.

As there's an average of 1 misprint in line with the web page, the possibility of a minimum of 5 misprints is 1 - P(0, 1, 2, 3, or 4 misprints)

P(0) = e-1/0!

P(1) = e-1/1!

P(2) = e -1/2!

P(3) = e-1/3!

P(4) = e-1/4!  

P(0, 1, 2, 3, or 4 misprints) = e-1(1 + 1 + half of + 1/6 + 1/24) = 2 17/24 e-1 = .99634

Then, P(5 or more misprints) is 1 - .99634 = .00366

Then, the P(at the least 1 page in a 300-page ebook has at least 5 misprints) = 1 - P(0 pages have at least 5 misprints).

P(0 pages have at the least 5 misprints) = P(300 of 300 pages have 0, 1, 2, 3, or 4 misprints) =.99634 300

(you could view this as C(300, 300) p300 in case you desire) = 0.332881690573629

Then, P(1 or greater pages have at least 5 misprints) = 1 - 0.332881690573629 = 0.667118309426371

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