a right triangle has legs of lengths 7 and 2, what is the length of the hypotenuse to the nearest tenth

Answer:

y=8(x+1)²-2

Step-by-step explanation:

Completing the square is a method of factorising. x²+bx+c=0 becomes x²+bx+([tex]\frac{1}{2}[/tex]b)²-([tex]\frac{1}{2}[/tex]b)²+c=0. This then gets converted to make an equation of (x+[tex]\frac{1}{2}[/tex]b)²+(-([tex]\frac{1}{2}[/tex]b)²+c)=0.

Vertex form is y=a(x-h)²+k.

8x²+16x+6=0 must first be divided by 8 to 8(x²+2x+[tex]\frac{6}{8}[/tex])=0 (as there cannot be a coefficient for x²).

This will become 8(x²+2x+[tex]\frac{2}{2}[/tex]²-[tex]\frac{2}{2}[/tex]²+[tex]\frac{3}{4}[/tex])=0.

From there, using the method above, we can convert it to 8[(x+1)²-1+[tex]\frac{3}{4}[/tex]]=0.

Solving this gets 8[(x+1)²-[tex]\frac{1}{4}[/tex]]=0.

With 8 as a, 1 as -h, and 8×-[tex]\frac{1}{4}[/tex] (-2) as k, we can input this into vertex format to get the result of y=8(x+1)²-2.

**This equation involves completing the square and vertex form, which you may wish to revise. I'm always happy to help!

Answer:

904.78

Step-by-step explanation:

Answer:

Slope is - 4

Step-by-step explanation:

The slope of the line will be (-16-(-8))/(-8-(-10))=-8/2=-4

Answer:

-4

Step-by-step explanation:

We have two points so we can use the slope formula

m = (y2-y1)/(x2-x1)

   = ( -16 - -8)/(-8 -  -10)

   = (-16+8)/ (-8+10)

   = -8/2

  - 4

The surface area of a square pyramid is equal to: B. 64 m².

In Mathematics, the surface area of a square pyramid can be calculated by using this mathematical equation:

Surface area of square pyramid = [tex]a^2+2a\sqrt{(\frac{a}{4})^2 +h^2}[/tex]

where:

For the height, we have:

6² = h² + (4/2)²

36 = h² + 4

h² = 32

h = √32

Height, h = 5.7 m.

By substituting the given side lengths into the formula for the surface area of a square pyramid, we have the following;

Surface area of square pyramid = [tex]4^2+2(4)\sqrt{(\frac{4}{4})^2 +5.7^2}[/tex]

Surface area of square pyramid = [tex]16+8\sqrt{(1 +32)}[/tex]

Surface area of square pyramid = 64.33 ≈ 64 m².

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Answer:

Rs 192000

Step-by-step explanation:

area of floor = l*b

=60 * 40

=2400 m^2

cost of polishing per square cm of the floor is Rs 80

cost of polishing floor = 2400 * Rs 80

=Rs 192000

Answer: hello the views attached to your question is missing hence I will provide a more general answer based on the scope of your question

answer :

a) 8 unit cubes

b) 1 unit cube

Step-by-step explanation:

The number of views a solid figure can have are : Top view , Front view and side view  and The greatest number of unit cubes in a solid depends on the side length of the unit cube

a) For a unit cube with side length half ( 1/2) the Unit length of the given solid the greatest number of unit cubes = 8  while

b) The least number of unit cube = 1  

Given:

Consider the below figure attached with this question.

To find:

The value of [tex](f+g)(x)[/tex].

Solution:

The given functions are:

[tex]f(x)=|x|+9[/tex]

[tex]g(x)=-6[/tex]

Now,

[tex](f+g)(x)=f(x)+g(x)[/tex]

[tex](f+g)(x)=|x|+9+(-6)[/tex]

[tex](f+g)(x)=|x|+9-6[/tex]

[tex](f+g)(x)=|x|+3[/tex]

We know that,

[tex]|x|\geq 0[/tex]

Adding 3 on both sides, we get

[tex]|x|+3\geq 0+3[/tex]

[tex](f+g)(x)\geq 3[/tex]

So, [tex](f+g)(x)\geq 3[/tex] for all values of x.

Hence, the correct option is A.

Answer:

[tex]\displaystyle x^\circ \approx 29.3[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = x

Opposite Leg = 45

Hypotenuse = 92

Step 2: Solve for x

Answer:

the correct answer should be C: (24-15) x 4-3 x 2=30

C. (24 - 15) x 4 - 3 x 2 = 30

Hope this helps! :)

Answer:

$375

Step-by-step explanation:

Method I

25% = .25

500 * .25 = 125

500 - 125 = 375

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

Method II

1 - .25 = .75

500 * .75 = 375

Answer:

-20/33

Step-by-step explanation:

y2 - y1 / x2 - x1

1/6 - (-1/4) / -5/16 - 3/8

5/12 / -11/16

= -20/33

Answer:

6 times

Step-by-step explanation:

Given

[tex]Start=2[/tex]

[tex]Ivan=-2[/tex] ---- i.e. multiplies by -2

[tex]Adeline = 2[/tex] --- i.e. multiplies by 2

[tex]n=10[/tex] --- signals

Required

Number of times they have the same number

First, we list out all results of Ivan calculations.

To calculate Ivan's list, we simply multiply the current term by -2.

The 10 signals together with the first term, means there will be 11 terms in total

So, we have:

[tex]Ivan = \{2,-4,8,-16,32,-64,128,-256,512,-1024,2048\}[/tex]

Next, list Adeline's

[tex]Adeline = \{2,4,8,16,32,64,128,256,512,1024,2048\}[/tex]

Compare the elements of the two lists, we have:

[tex]Common= \{2,8,32,128,512,2048\}[/tex]

Hence, they have the same number 6 times.

Answer:

Answer is C

Hope this helped!

Answer: x=-3

Step-by-step explanation:

Ok let's start by using the distributive property

[tex](-5)(x)+(-5)(7)=-14+2x\\-5x-35=-14+2x[/tex]

Now subtract 2x from both sides

[tex]-5x-35-2x=2x-14-2x\\-7x-35=-14[/tex]

Next add 35 to both sides

[tex]-7x-35+35=-14+35\\-7x=21[/tex]

Finally divide both sides by -7

[tex]\frac{-7x}{-7} =\frac{21}{-7} \\x=-3[/tex]

Answer:

x = -3

Step-by-step explanation:

First, we compute -5(x + 7). -5(x + 7) = -5x - 35. Plugging this into the equation, we have -5x - 35 = -14 + 2x Next, we combine like terms by moving all terms with the variable x to the left side. We have -5x - 2x = -14 + 35. We simplify the equation into -7x = 21. Divide 21 by -7, and we get x = -3.

Answer:

y/2

Step-by-step explanation:

Answer: y, because ΔABC ~ ΔEDC

Step-by-step explanation:

In the image we can see that angle D is equal to angle B because they are both marked as 65 degrees. Angle BCA is equal to DCE because they are vertical angles and vertical angles are congruent. Know that those are equal to each that must mean CED is equivalent to CAB because that's the last angle that corresponds with another. So, CED is y.

Answer:

1050

Step-by-step explanation:

We can use a  ratio to solve

First find how many jam

210 - 189 =21

We want to find how many jam for 10500 printed

21 jam              x jam

-----------       = ----------------

210 printed          10500 printed

Using cross products

21 * 10500 = 210x

Divide each side by 210

21*10500/210 =x

1050=x

Answer:

There is no mode in these set of numbers.

Seven students were surveyed on the amount of money they make per hour. The results are shown below: $8.00, $8.25, $8.50, $9.00, $9.25, $10.00, $10.50 for this given data there is no mode present in the dataset.

In statistics, the mode is a measure of central tendency that represents the most frequently occurring value in a dataset. It can be used to determine the typical or common value in a given set of data. In this case, we have the hourly wages of seven students, and we need to find the mode of this dataset.

To find the mode, we need to identify the value that occurs most frequently in the dataset. Let's list the data in ascending order:

$8.00, $8.25, $8.50, $9.00, $9.25, $10.00, $10.50.

From the given data, we can observe that no value is repeated. In this case, we say that there is no mode or the dataset has no mode. Since each student earns a different hourly wage, there is no single value that appears more frequently than the others.

Mathematically, we can represent the given dataset as a set of values: {8.00, 8.25, 8.50, 9.00, 9.25, 10.00, 10.50}. The mode, denoted as "Mode(X)", is the value(s) that occur(s) most frequently in the dataset X.

In this case, Mode(X) = None or Mode(X) = ∅ (empty set).

This indicates that there is no mode present in the dataset.

It is important to note that a dataset can have more than one mode or no mode at all. When there are two or more values with the same highest frequency, the dataset is said to be multimodal. In our example, since all values occur only once, there is no mode.

In conclusion, the mode of the given dataset, which represents the most frequently occurring value, is not applicable in this case as there is no value that occurs more frequently than the others.

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Answer: I think it's 163

Step-by-step explanation:

it's multiplied by 3's

Answer:

1/45

Step-by-step explanation:

Answer:

hi, it can be 0 or also 1

please mark as brainiest:)

Answer:

tricky

Step-by-step explanation:

Answer:

The second statement is the

of the first.

X = у

y = x

A. contradiction

B. inverse contrapositive

C. inverse

D. converse

Step-by-step explanation:

imverse

The second statement is the contrapositive of the first.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that x → y is a conditional statement read as 'if x then q'.

And, The converse EXCHANGES the hypothesis and conclusion such as:

⇒ y → x

And, The 'contrapositive' statement basically NEGATES the converse of the conditional such as:

⇒ ¬y → ¬x

Coming back towards the question,

Given that;

x ⇒ y

¬y ⇒ ¬x

Therefore, The second statement is the contrapositive of the first.

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Respuesta:

19

Explicación paso a paso:

Si se van a plantar 361 limoneros en un campo cuadrado;

Entonces, el número de plantas en cada fila debe ser el mismo por columna;

Sea el número de plantas por hilera = x

Número total de plantas = x²

361 = x²

Saca la raíz cuadrada de ambos lados

√361 = √x²

19 = x

Número de plantas por hilera = 19

Answer:

[tex]\frac{1}{20}[/tex]

Step-by-step explanation:

To solve this problem, we can use the definition of probability: the amount of desirable outcomes divided by the total amount of outcomes. In order to find the probability of dependent events, events that depend on each other, we multiply the probability of the first event by the probability of the second event happening after the outcome of the first. Our two events are choosing a blue marble and then choosing a yellow.

There are a total of 16 marbles as given by the problem, this is our total number of outcomes. There are 4 outcomes where we can pick a blue marble, so the probability of choosing a blue marble is [tex]\frac{4}{16}[/tex] or [tex]\frac{1}{4}[/tex].

Now, we need to find the probability of choosing a yellow marble after the blue marble. If we already chose a blue marble, in total, there will only be 15 marbles instead of 16, because it is with out replacement. This gives us the total amount of outcomes. Next, we picked a blue already, so it does not affect the amount of yellow marbles left, which is 3 yellow marbles. From this, we can say the probability of picking a yellow marble given a blue marble was already picked is [tex]\frac{3}{15}[/tex] or [tex]\frac{1}{5}[/tex].

All we have to do now is multiply the two probabilities to find what we are looking for: [tex]\frac{1}{4} *\frac{1}{5} =\frac{1}{20}[/tex]. So, the probability of drawing a blue marble followed by a yellow marble is [tex]\frac{1}{20}[/tex]

Answer:

A

Step-by-step explanation:

T o show the inverse, the output becomes the input

The input is the output

The input is 2,4,6,8

The output is 1,3,5,7

They will also be in the same order so 1 went to 2 so 2 will go to 1

Answer:

B

Step-by-step explanation: