Devoir maison : Réciproque du théorème de Pythagore
(AH) est la hauteur du triangle ABC issue de A.
A
B←
10 cm
8 cm
6 cm
H
> C
2,5 cm
a. Calculer la longueur AC.
b. Le triangle ABC est-il rectangle?

You can find the sales price history of a car by looking up the VIN

D=P(1−E%) 2

Or equivalently:

D=P(1− E/100 )^ 2

The exponential depreciation equation is of the form y=P(1-r)^xy=P(1−r) X With PP the original value, rr the depreciation rate per period and xx the number of periods.

The Kelley Blue Book, as well as its equally prominent website, is one of the most reliable sources for vehicle price, utilized by individuals buying or selling cars. Kelley evaluates the following values: private party, trade-in, recommended retail, and certified pre-owned (CPO). Check the vehicle history record while looking for a secondhand automobile online. If the original car window sticker is submitted with the report, you may sometimes figure out the MSRP of a vehicle.

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Answer:

We know that the x-coordinate of point A is -11, and that the distance between point A and point B is 15 units. Let's call the y-coordinate of point A "y". Then we can use the distance formula to find the two possible values of y:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

where (x1,y1) = (-11,y) is the coordinates of point A, and (x2,y2) = (1,2) is the coordinates of point B. Substituting the values, we get:

15 = sqrt((-11 - 1)^2 + (y - 2)^2)

15 = sqrt(144 + (y - 2)^2)

15^2 = 144 + (y - 2)^2

225 = 144 + (y - 2)^2

81 = (y - 2)^2

y - 2 = ±9

y = 2 ± 9

So the possible coordinates of point A are (-11,11) and (-11,-7).

Answer:

300-20w=?

150+10w=?

Step-by-step explanation:

Answer:

Step-by-step explanation:

320

Answer:

(A) a triangle with a base of 6m and height of 4m:

Area = 1/2 x base x height = 1/2 x 6m x 4m = 12m^2

(B) a parallelogram with a base of 48m and a height of 0.5m:

Area = base x height = 48m x 0.5m = 24m^2

(C) a trapezoid with bases 9m and 3m and height of 4m:

Area = 1/2 x (base1 + base2) x height = 1/2 x (9m + 3m) x 4m = 24m^2

(D) a triangle with a base of 8m and a height of 3m:

Area = 1/2 x base x height = 1/2 x 8m x 3m = 12m^2

So the shapes that have an area of 24 m^2 are A (triangle) and C (trapezoid).

I Hope This Helps!

Since the polynomial is in factored form, we can equate each factor to zero to find the solutions:

Therefore the solutions are x = -3 and x = -7.

The length of side LN is equal to 44 units. (Correct choice: A)

Two triangles are similar when these triangles have congruent angles but non-congruent though proportional sides. Triangles LMN and NUV are similar. Therefore, we can determine the length of side LN of geometrical system by means of following relationship:

NV / LN = NU / MN

LN = NV × MN / NU

If we know that NV = 11, MN = 32 and NU = 8, then the length of side LN is:

LN = 11 ×  (32 / 8)

LN = 11 × 4

LN = 44

The side LN has a length of 44 units.

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Answer:

The equilibrium point for the product (x,y) = (50,2300)

Step-by-step explanation:

The equilibrium point refers to the point in the demand and supply curves where we have the quantity demanded equals the quantity supplied at a particular price.

From the question, we can identify the following;

S(x) = 300 + 40x

D(x) = 4300 - 40x

Now, at the equilibrium point, S(x) = D(x)

This means that;

300 + 40x = 4300 -40x

80x = 4300-300

80x = 4000

x = 4000/80 = 50

Now, we input the value of x into any of the equation of the demand and supply to get the quantity.

Let’s use S(x) = 300 + 40x = 300 + 40(50) = 300 + 2000 = 2,300

The equilibrium point for the product (x,y) = (50,2300)

Answer:

3a-21

Step-by-step explanation:

3(a-7)

3a-3x7

3a-21

The quadratic function for the path of the basketball as it is thrown indicates;

The path of the basketball will not make the shot

The height reached is about 5.24 meters

A quadratic function is a function of the form; f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, c, are numbers.

The function for the path of the basketball is; b(x) = (-1/7)·x² + 1.36·x + 2

The function for the location of the basketball net is; n(x) = 3 and (8 < x < 8.5), where;

n(x) = The vertical height of the basketball

Plugging in the value of the n(x) = b(x), to check if equations have a common solution, we get;

b(x) = n(x) = 3 = (-1/7)·x² + 1.36·x + 2

(-1/7)·x² + 1.36·x + 2 - 3 = 0

(-1/7)·x² + 1.36·x - 1 = 0

(1/7)·x² - 1.36·x + 1 = 0

Solving the above equation, we get;

x = (119 - √(9786))/(25) ≈ 0.803, and x = (119 + √(9786))/(25) ≈ 8.717

Therefore, the x-coordinates of the height of the path of the basketball when the height is 3 meters are 0.803 and 8.717, neither of which are within the range (8 < x < 8.5), therefore, the baseketball will not go through the net and the path will not make the shot.

Bonus; The x-coordinates of the highest point of a quadratic function, f(x) = a·x² + b·x + c is; -b/(2·a)

Therefore, the x-value at the highest point of the equation, b(x) = (-1/7)·x² + 1.36·x + 2 is; x = -1.36/(2 × (-1/7)) = 1.36 × 7/2 = 9.52/2 = 4.76

The height of the highest point is; b(9.52) = (-1/7)·(4.76)² + 1.36·(4.76) + 2 ≈ 5.24 meters

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Answer:38.07

Step-by-step explanation:

If you don't have the apothem value, you will need more information to find the area accurately. The radius alone does not provide enough information to find the area of the regular pentagon.

To find the area of a regular pentagon with a given radius, we need to know the apothem (the distance from the center of the pentagon to the midpoint of one of its sides) in addition to the radius. However, you mentioned only the radius, and it is not sufficient to directly find the area.

If you have the apothem value, you can use the following formula to calculate the area of a regular pentagon:

Area = (5/4) * apothem * side length

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In interval notation, the given expression is given as (∞ , 5) where the value of 5 is exclusive

Inequality are expression not separates by an equal sign.

Let the required set of numbers be "x" such that;

The set of all numbers less than or equal to −5 is expressed as x < -5

In interval notation, the given expression is given as (∞ , 5) where the value of 5 is exclusive

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Answer:

(-∞, -5]

Step-by-step explanation:

The set of numbers less than equal to -5 is the set that includes -5 and all numbers less than -5 through to negative infinity.

x ≤ -5

(-∞, -5]

We always use a curved bracket (parenthe3sis) with infinity.

In this case, since -5 is part of the set, we use a square bracket with -5.

Answer:

Luca's net is correct

Hope it helps!!!

The mean number of ice chests in a section is 46.75.

The mean is the average or the most common value in a collection of numbers. In statistics, it is a measure of central tendency along median and mode..

To find the mean number of ice chests in a section, we need to calculate the sum of the ice chests and then divide total number of sections sampled.

Sum of ice chests = 48 + 51 + 26 + 73 + 51 + 48 + 26 + 51

Sum of ice chests = 374

Mean number of ice chests will be:

= (Sum of ice chests) / (Total number of sections sampled)

= 374 / 8

= 46.75

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Answer:

5.12

Step-by-step explanation:

If u times 1.6 and 3.2 you get 5.12 also i got it correct on my test

Answer:

2x + 18

Step-by-step explanation:

1) add the numbers

16x + 3 - 14x + 15

16x + 18 - 14 x

2) combine like terms

16x + 18-14x

2x + 18

Answer:

2x+18

Step-by-step explanation:

16x+3-14x+15

Put the X's together so 16x-14x=2x

Also put the constants together so 3+15=18

So the simplified version is 2x+18

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The probability the at least of the people selected from 5 is vaccinated is 0.997.

The binomial distribution is a statistical probability distribution that summarizes the likelihood of a value taking one of two independent values under the specific set of assumptions or assumptions.

Because the five randomly chosen people are independent, the probability that they're all unvaccinated is (0.47)⁵,

The probability that at least one among them 5 has been vaccinated is;

= 1 - (0.47)⁵

= 0.997

Therefore, the probability that at least one of the five people chosen is vaccinated is 0.997.

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Marriage counselling refers to a process in which marred couples consult an expert to help them to resolve the issues in their marriage.

The term marriage counselling refers to a process in which marred couples consult an expert to help them to resolve the issues in their marriage. The counsellor is often interested in helping the couple to remain married to each other.

The correct matching of the words is shown below;

POPULATION - All of the counselor's clients

SAMPLE  -  The 55 randomly selected clients that were chosen for this study

DATA - The answer "Yes" or "No" to the question on whether a client stayed married

PARAMETER - The list of "Yes" or "No" answers to the question of whether the clients stayed married

STATISTIC - The proportion of the 55 randomly selected clients who stayed married

VARIABLE - the proportion of all of the counselor's clients who stayed married

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Missing parts

A marriage counselor is interested in the proportion the clients she counsels that stay married. Match the vocabulary word with its corresponding example.

POPULATION PARAMETER DATA STATISTIC SAMPLE VARIABLE

1. All of the counselor's clients

2. The 55 randomly selected clients that were chosen for this study

3. the proportion of all of the counselor's clients who stayed married

4. The proportion of the 55 randomly selected clients who stayed married

5. The answer "Yes" or "No" to the question on whether a client stayed married

6. The list of "Yes" or "No" answers to the question of whether the clients stayed married

Answer:

7a+6b+1

...............

Answer:

7a+6b+1

Step-by-step explanation:

2a+3b+2+3a+5b-1+2a-2b=7a+6b+1

(+)×(+)=+ (-)×(-)=+

(+)×(-)=- (-)×(+)=-

Answer:

Step-by-step explanation:

You need to show the model so I can answer

Answer:

x <= 4

Step-by-step explanation:

29+9x<65

-29.      -29

9x<36

divide both sides by 9

x less than or equal to 4

Answer:

x ≤ 4

Step-by-step explanation:

29 + 9x ≤ 65

subtract 29 from both sides

29 - 29 + 9x ≤ 65 - 29

9x ≤ 36

divide both sides by 9

9x / 9 = x and 36 / 9 = 4

we're left with x ≤ 4

Step-by-step explanation:

sin Φ  = 5/6 = .8333

Arcsin ( sin Φ) =  arcsin (.8333)

Φ = 56.4 degrees

Answer:

7.4 < h

Step-by-step explanation:

89 < 12h

Divided both sides by 12

7.4 < h

The answer is:

Work/explanation:

The objective of this problem is to isolate the variable. So in the inequality \(\bf{89 < 12h}\), we should isolate h.

So I divide each side by 12

\(\bf{7.417 < h}\)

Answer:

-5a + 3b

3a+2b−8a+b

=3a + 2b + (−8a) + b

Combine Like Terms:

=3a + 2b + (−8a) +b

=(3a+−8a)+(2b+b)

=−5a+3b

Answer:

-2 are the total points she have because here she had a total -5 points and she got -3 points show we should subtract

Answer:

-8 because -5+-3 ur welcome

Answer:

The first thing to do is to find out which answer choices are similar and then it will be easier to find an answer.

Step-by-step explanation:

Answer:

Unit rate are

22 words per minute

34 miles for each gallon

60 miles per hour

$8 for every hour

Not a unit rate

168 hours in 7 days

$15 for 2 DVDS

The value οf the variable y is 9 when k is -3 in the given question.

In mathematics and statistics, a variable is a quantity οr a characteristic that can take οn different values οr attributes. Variables can be classified as either quantitative οr categοrical, depending οn the type οf data they represent.

A quantitative variable is a variable that represents a numerical measurement οr quantity. Examples οf quantitative variables include height, weight, temperature, and incοme.

A categοrical variable is a variable that represents a grοup οr categοry. Examples οf categοrical variables include gender, race, and type οf car.

Given: y=k x

where, x= -3 and k= -3

we can find the value of y by multiplying k with x,

so, y=k x

now, putting values as follows:

we get, y = -3 × -3

               = 9

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(a) | BD | bisects | AC | (reason : Given)

(b) |AD| ≅ |CD| (reason: |BD| is the perpendicular bisector of segment AC).

(c) ∠ABD ≅ ∠CBD (reason: | BD |  bisects angle ABC)

(d) ∠A ≅ ∠ C (reason: complementary angles of a right triangle)

Congruent angles are the angles that have equal measure. So all the angles that have equal measure will be called congruent angles.

From the first statement, we will complete the flow chart as follows;

line BD bisects line AC (reason : Given)

line AD is congruent to line CD (reason: line BD is the perpendicular bisector of segment AC)

Angle ABD is congruent to angle CBD (reason: line BD bisects angle ABC)

Angle A is congruent to angle C (reason: angle ABD = angle CBD, and both triangles ABD and CBD are right triangles).

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The equations x² + 4x + 3 = 0 and x² -6x + 13 = 0 are equivalent to (x + 2)² = 1 and (x - 3)² = -4

An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on

The standard equation of a quadratic function is:

y = ax² + bx + c

1) Given that:

x² + 4x + 3 = 0

subtract 3 from both sides:

x² + 4x = -3

add to both sides the square of half the coefficient of x:

x² + 4x + 4 = -3 + 4

(x + 2)² = 1

2) Given that:

x² - 6x + 13 = 0

subtract 13 from both sides:

x² - 6x = -13

add to both sides the square of half the coefficient of x:

x² - 6x + 9 = -13 + 9

(x - 3)² = -4

The equations are (x + 2)² = 1 and (x - 3)² = -4

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