What are the solutions of x2 -7x+13 = 0 ?

The equation that shows the relationship between the lengths of the sides and the diagonal is 2[tex]x^2[/tex] = [tex]d^2[/tex] where x is the length of the side and d is the length of the diagonal.

In a square, the diagonal divides the square into two congruent right triangles. By the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the lengths of the other two sides.

Let x be the length of one side of the square, and d be the length of the diagonal. According to the Pythagorean theorem, we have:

[tex]\[ x^2 + x^2 = d^2 \][/tex]

Simplifying:

2[tex]x^2[/tex] = [tex]d^2[/tex]

This equation represents the relationship between the length of the sides (x) and the length of the diagonal (d) of the square tile.

Answer:

-4 <2

Step-by-step explanation:

Is asking for an inequality which is greaterthan or equal to, less than or equal to, greaterthan, lessthan, not equal

Answer:

The base would be 8 if the height is five

Step-by-step explanation:

Please next time show the height

Answer:

You could fit 5.25 cubic inches inside the prism.

Step-by-step explanation:

In order to calculate the number of cubic inches that could fit in the prism we first need to calculate it's volume, this is given by the formula below:

volume = length*width*height

Applying the data from the question:

volume = 1.75*1.5*2

volume = 5.25 inches³

Thefore you could fit 5.25 cubic inches inside the prism.

Answer: You could fit 5.25 cubic inches inside the prism.

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of the rectangular prism:

Volume (V) = Length x width x height

Replacing with the values given:

V = 1.75 in x 2 in x 1.5 in  

Solving for V:

V = 5.25 cubic inches

You could fit 5.25 cubic inches inside the prism.

Feel free to ask for more if needed or if you did not understand something.

Answer:

A) 3x + 2y = 12

B) 6x + 3y = 21

We multiply A) by -2

A) -6x -4y = -24  then we add B)

B) 6x + 3y = 21

-y = -3

y = 3

Since y = 3 then

x = 2

Step-by-step explanation:

Answer:

( −2)⋅( 3x +2y )= (−2)(12)(-2)⋅(3x+2y)= (-2)(12)

6x+3y=21

Step-by-step explanation:

Multiply each equation by the value that makes the coefficients of x opposite.

Simplify ( -2) ⋅(3x+2y)(-2)⋅(3x+2y)

Apply the distributive property.

−2(3x) − 2 (2y)=(−2) (12)

6x+3y=21

Multiply 3 by -2.

−6x − 2(2y)= (2)(12)

6x+3y=21

Multiply 2 by -2

−6x −4y = (−2)(12)

6x+3y=21

Multiply -2 by 12

−6x−4   y=−24

X  6x+3 y=21

          -y = -3

Multiply each term in -y = -3 by -1.

(-y) ⋅ -1 = (-3) ⋅ -1

Multiply -1 by -1

1y = (-3) ⋅ -1

Multiply y by 1

y= (-3) ⋅ - 1

Multiply -3 by -1

y= 3

Substitute the value found for y into one of the original equations, then solve for x.

−6x −4⋅3=−24

Multiply −4 by 3.

−6x−12=−24

Move all terms not containing x to the right side of the equation.

Add 12 to both sides of the equation.

−6x = −24+12

Add −24 and 12.

−6x=−12

Divide each term by −6 and simplify.

Divide each term in  −6x = −12 by −6.

-6x     =       -12  

-6        =        -6      

Cancel the common factor of −6.

Divide x by 1.

         −12

x=      -6

Divide −12 by −6.

x=2

The solution to the independent system of equations can be represented as a point.

(2,3)

Equation Form:

x=2, y=3

Answer:

An independent variable is a variable or value that is changed, altered, or entered, while a dependent variable is a variable or value that is being observed.

Step-by-step explanation:

Hoped this helped

Answer:

An independent variable is the variable that is changed or controlled in a scientific experiment to test the effects on the dependent variable.

dependent variable is the variable being tested and measured in a scientific experiment.

The dependent variable is 'dependent' on the independent variable. As the experimenter changes the independent variable, the effect on the dependent variable is observed and recorded.

Independent and Dependent Variable Example

For example, a scientist wants to see if the brightness of light has any effect on a moth being attracted to the light. The brightness of the light is controlled by the scientist. This would be the independent variable. How the moth reacts to the different light levels (distance to light source) would be the dependent variable.

How to Tell the Variables Apart

The independent and dependent variables may be viewed in terms of cause and effect. If the independent variable is changed, then an effect is seen in the dependent variable. Remember, the values of both variables may change in an experiment and are recorded. The difference is that the value of the independent variable is controlled by the experimenter, while the value of the dependent variable only changes in response to the independent variable

Answer:

5

Step-by-step explanation:

Answer:

[tex] y = 3x -18[/tex]

Step-by-step explanation:

For this case we have this point given (5,-3) and we want to create an slope intercept formula given by:

[tex] y = mx +b[/tex]

And this equation needs to be parallel to y= 3x-1 so then the slope needs to be equal m =3 and then we can use the point given to find the intercept b like this:

[tex] -3 = 3*5 +b [/tex]

[tex] b = 3-15=-18[/tex]

And the formula for the slope would be given by:

[tex] y = 3x -18[/tex]

Answer:

x=6

Step-by-step explanation:

2+2x=14

-2      -2

2x=12

2x/2=12/2

x=6

Answer:x=6

Step-by-step explanation:

14-2=12

12 divided by 2= 6

2+12=14

To solve 2(x + 2)^2 - 5 = 93, add 5 to both sides, divide by 2, take the square root of both sides, and finally subtract 2 to find x = 5 and x = -9.

To solve the equation 2(x + 2)^2 - 5 = 93, follow these steps:

First, add 5 to both sides of the equation to isolate the squared term: 2(x + 2)^2 = 98.

Divide both sides of the equation by 2 to get: (x + 2)^2 = 49.

Take the square root of both sides of the equation: x + 2 = 7. Remember that taking the square root yields two possible solutions.

Subtract 2 from both sides to solve for x: x = 5 and x = -9.

Therefore, the solutions to the equation are x = 5 and x = -9.

Answer:

Step-by-step explanation:

simplify 4/8

Answer:

4.74; Explanation is as follows

Step-by-step explanation:

When you raise a number to a fractional power, it is the same as taking a root of that number. Here's what I mean:

We know that .8 is the same as 4/5, so 7^.8 power is the same as 7^4/5 power!

[tex]7^\frac{4}{5} =\sqrt[5]{7^4}[/tex]

The above equation is the same as 7 raised to the .8th power! Now to solve, we do the following:

[tex]=\sqrt[5]{7^4} \\=\sqrt[5]{7*7*7*7} \\= \sqrt[5]{2401} \\=4.74[/tex]

So that is how you raise 7 to the .8th power!

Answer:

If C is the midpoint of AB, and AB = 20, then AC = (1/2)(20) = 10.

Answer:

z= -9.5

Step-by-step explanation:

To solve for z, we need to get z by itself.

-4.75=z/2

z is being divided by 2. To undo this, multiply both sides by 2, since multiplication is the opposite of division. This will cancel out the 2 on the right, and leave z by itself.

2*-4.75=z/2*2

-9.5=z

So, z= -9.5

Final answer:

To solve for z in the equation -4.75 = z/2, multiply both sides by 2, which yields z = -9.5

Explanation:

To solve for z in the equation -4.75 = z/2, we need to isolate z. We can do this by multiplying both sides of the equation by 2. Doing so gives us:

-4.75 × 2 = (z/2) × 2

-9.5 = z

So, z = -9.5

Answer:

C) If the sum is 6, a small cone will be ordered . the sum is 7 or 8 , a medium cone will be ordered. If the sum is 9, a large cone will be ordered

Step-by-step explanation:

If the sum is a 6: (2+4) or (4+2)

P(6) = (2 is first picked)(4 is picked next) + (4 is first picked)(2 is picked next)

[tex] P(6)= (\frac{1}{4})(\frac{2}{3}) +(\frac{2}{4})(\frac{1}{3})[/tex]

[tex] P(6) =\frac{2}{12} + \frac{1}{6} = \frac{1}{3} [/tex]

If the sum is a 7: (2+5) or (5+2)

P(7) = (2 is first picked)(5 is picked next) + (5 is first picked)(2 is picked next)

[tex] P(7)= (\frac{1}{4})(\frac{1}{3}) +(\frac{1}{4})(\frac{1}{3})[/tex]

[tex] P(7) =\frac{1}{12} + \frac{1}{12} = \frac{1}{6} [/tex]

If the sum is a 8: (4+4)

[tex] P(8)= (\frac{2}{4})(\frac{1}{3})=\frac{1}{6}[/tex]

If the sum is a 9: (4+5) or (5+4)

P(9) = (4 is first picked)(5 is picked next) + (5 is first picked)(4 is picked next)

[tex] P(9)= (\frac{2}{4})(\frac{1}{3}) +(\frac{1}{4})(\frac{2}{3})[/tex]

[tex] P(9) =\frac{1}{6} + \frac{1}{6} = \frac{1}{3} [/tex]

[tex] P(6) = \frac{1}{3} [/tex]

[tex] P(7) = \frac{1}{6} ;P(8) = \frac{1}{6} [/tex]

[tex]P(7) or P(8) = \frac{1}{6} + \frac{1}{6} = \frac{1}{3} [/tex]

[tex] P(9) = \frac{1}{3} [/tex]

Therefore, if the sum is 6, a small cone will be ordered . the sum is 7 or 8 , a medium cone will be ordered. If the sum is 9, a large cone will be ordered

Answer:

32.1

Step-by-step explanation:

To find the average, take the sum and divide by the number of numbers

1862.338 / 58

32.10927586

Round to the nearest tenth

32.1

Answer:

he cheated and got that off of the site down below i looked it up and if he did not cheat there would be fraction but there is not so yeah

Step-by-step explanation:  look it up if u want and see

Heres the site:  https://brainly.in/question/7888426

have a nice day

Final answer:

Megan's mistake is that she incorrectly stated that she gave 2/6 of the box of raisins to her friend, when in fact she gave 1/2 of the box of raisins.

Explanation:

Megan's mistake is that she incorrectly stated that she gave 2/6 of the box of raisins to her friend, when in fact she gave 1/2 of the box of raisins.

To understand Megan's mistake, let's calculate the amount of raisins she gave to her friend:

Megan has 5/6 of the box of raisins.

Giving 1/2 of those raisins to her friend means she is giving away (1/2) * (5/6) = 5/12 of the box of raisins.

So, Megan actually gave away 5/12 of the box of raisins to her friend, not 2/6 as she claimed.

Answer:

real numbers

1. negative square root of six

negative square root of one half

negative square root of 2

Imaginary numbers

2. square root of negative 5/7

square root of negative 8

square root of negative 1/2

square root of negative 7

brainliest?

Answer:

Here is the answer.

Step-by-step explanation:

1. area is 10           ( L x W = A  )

2. area is 1             ( 1/2 BH = A )

3. I am not sure.

Answer:

y=14x+30

Step-by-step explanation:

Answer:

3/4 divide by 1/8 is 6.

Bryan can serve 6 bowls of blue berries

Step-by-step explanation:

Final answer:

Bryan can serve 6 bowls of blueberries and cream.

Explanation:

To calculate the number of bowls Bryan can serve, first determine how many bowls can be served from 3/4 of a bottle of cream. Since each bowl requires 1/8 of a bottle of cream, divide 3/4 by 1/8. This division is equivalent to multiplying 3/4 by the reciprocal of 1/8, which is 8/1. Thus, (3/4) / (1/8) = (3/4) * (8/1) = 6. Therefore, Bryan can serve 6 bowls of blueberries and cream with 3/4 of a bottle of cream. This calculation ensures efficient use of resources, allowing Bryan to accurately plan the quantity of ingredients needed for serving a specific number of bowls.

Answer:

Try  \\

Step-by-step explanation:

176.1

units

2

Explanation:

A

shaded

=

A

circle

−

A

hexagon

A

circle

=

π

r

2

=

π

⋅

18

2

=

324

π

We can split up the hexagon into 6 regular triangles.

A

hexagon

=

6

⋅

A

triangle

=

6

⋅

1

2

b

h

Since the triangles are regular, the base is equal to the radius,

18

. We can represent the height by taking one of the triangles and drawing a line down the middle. The newly formed triangle is a

30

°

−

60

°

−

90

°

right triangle.

Answer: A 500 - x =225

Step-by-step explanation:

500 - x =225 X=275

So,the right answer is 3.

Look at the attached picture

Hope it will help you

The Answer of the question is "B" or 1,600

Final answer:

The correct integer representing the skydiver's elevation is +1,600 feet. This positive value indicates that the skydiver is above the ground level when they jump from the plane.

Explanation:

To determine which integer represents a skydiver's elevation after jumping out of a plane at 1,600 feet, consider the direction of the elevation change relative to the ground. If we have our origin at the ground level and define upward as positive, then a skydiver jumping out of a plane is moving from a positive elevation down towards the ground. Therefore, their starting elevation is a positive value.

In this context, the appropriate integer to describe the skydiver's starting elevation of 1,600 feet is +1,600, and not 0 or -1,600. No elevation would be represented by 0, and a negative elevation value would imply that the skydiver is below the ground level, which is not the case at the start of the skydive.

Answer:

18 2/3

Hope this helps :)

Answer:

Step-by-step explanation:

Area of rectangle = length * width

[tex]=3\frac{1}{5}*5\frac{5}{6}\\\\=\frac{16}{5}*\frac{35}{6}\\\\=\frac{8}{1}*\frac{7}{3}\\\\=\frac{8*7}{1*3}\\\\=\frac{56}{3}\\\\=18\frac{2}{3}cm^{2}[/tex]

Answer:

2 Movements

Step-by-step explanation:

Let us name the tokens

B-For Black Tokens

W-For White Tokens

The initial arrangement is therefore given as:

B-B-B-B-W-W-W-W-W

Since we are allowed to flip three tiles in each turn

First movement: Flip two blacks and one white, we would have:

B-B-W-W-W-W-W-W-B

Second movement: Flip the three black tokens, this would give us:

W-W-W-W-W-W-W-W-W

Therefore, the least number of movements to have all tokens showing the same color is 2.

The question asks about the geometrical properties of two scarves, one square and one rectangular. The area of the square scarf is 1024 square inches and that of the rectangular one is 960 square inches. Additionally, the square scarf has a side length of 32 inches and the rectangular scarf has lengths of 48 and 20 inches.

The subject of the question being asked is Mathematics. Specifically, it deals with the concepts of area and perimeter for square and rectangular shapes. For the square scarf, since all sides are equal and each one is 32 inches, we calculate its area by squaring one side (32*32), yielding an area of 1024 square inches. Its perimeter (the total length of the boundary) is 4*32 i.e., 128 inches.

For the rectangular scarf, its area is determined by the formula length*width, so 48*20 equals 960 square inches. Its perimeter is the sum of all sides (2*length + 2*width) equates to 2*48+2*20 = 136 inches.

Therefore, looking at the given options, the statement regarding both the area and the length of a side (option d) is correct, as we computed the area and side length for both scarves, along with the incorrect calculations provided.

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