Use mid segment formula to find
a) x=
b) EF=
c) BC=
A
E
B
لی
3
D
4x+6
9x+4
F

Answer:

square root of 25

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

the square root of 25 is 5, and thats the only rational number there

I hope I was helpful! :D

Hi,

So, in this question, we have to find the corresponding angles. For that, we should know the defination of corresponding angles.

When two lines crossed each other by other lines, the angles at the matching cornors are called corresponding angles.

Also, these angles are equal. For example, in the figure, angle 1 and angle 5 are corresponding angles. Both are at the matching cornor and equal.

Similalry, other pairs are:

Angle 3 and angle 7

Angle 2 and angle 6

Angle 4 and angle 8

Answer:

When a circle is dilated about its center by a scale factor of 3/2, its area is multiplied by a scale factor of 9/4.

Step-by-step explanation:

Scale factor = 3/2

The ratio of the areas is the scale factor squared. Therefore, the ratio of the areas is (3/2)² = 9/4

Answer:

To factor the polynomial y = x³ + 2x² - 5x - 6 by dividing by (x + 1), we can use synthetic division:

-1  |   1   2   -5   -6

        |_______-1___-1___6

        | 1   1   -6   0

The result of the synthetic division is: x² + x - 6.

Therefore, we can write the polynomial as:

y = (x + 1)(x² + x - 6)

To factor it completely, we can factor the quadratic expression x² + x - 6:

y = (x + 1)(x + 3)(x - 2)

Therefore, the polynomial function y = x³ + 2x² - 5x - 6 can be factored completely as y = (x + 1)(x + 3)(x - 2).

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Let A be a diagonalizable matrix. If c₁ and c₂ are solution to system

x⃗' (t) = A x⃗ ( t )

the possible values of c₁ is 1 and c₂ is 2 .

So, the correct option is option(a) and (e).

We have given that A is 2 × 2 diagonalizable matrix and x⃗ (t) = ( 3eᵗ + eᶜ₁t , 3e²ᵗ + eᶜ₂ᵗ) is a solution of system, x⃗ '(t) = A x⃗(ᵗ) .

A Solution of system always satisfied the equation of system.

Now, Differenating x⃗ (t) wih respect to t we get, x⃗' (t)=( 3eᵗ + c₁ eᶜ₁t , 6e²ᵗ + c₂ eᶜ₂ᵗ)

So, ( 3eᵗ + c₁ eᶜ₁t , 6e²ᵗ + c₂ eᶜ₂ᵗ)= A ( 3eᵗ + eᶜ₁t , 3e²ᵗ + eᶜ₂ᵗ) where A is diagonalizable and A = [a 0 0 b].

Then, ( 3eᵗ + c₁ eᶜ₁t , 6e²ᵗ + c₂ eᶜ₂ᵗ) = ( 3aeᵗ + aeᶜ₁t , 3be²ᵗ + b eᶜ₂ᵗ)

equating the coefficients on both sides we get, 3eᵗ + c₁ eᶜ₁t = 3aeᵗ + aeᶜ₁t 6e²ᵗ + c₂ eᶜ₂ᵗ = 3be²ᵗ + b eᶜ₂ᵗ

after equating the corresponding equations , 3 = 3a and c₁ = a and 6 = 3b and c₂ = b after solving all we get a = 1 and b = 2 which implies c₁ = 1 and c₂ = 2. Hence, the possible values are c₁ = 1 and c₂ = 2.

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Complete question:

Let A be a diagonalizable matrix. If c₁ and c₂ are solution to system x⃗ (t) = A x⃗

then check all the possible values of c₁ and c₂ and below.

(a) c₁ = 1

(b) c₁ = 3

(c) c₁ = 2

d) c₂ = 1

(e)c₂ =2

(f) c₂ = 3

The body surface area is given by the equation A = 1.6865 m²

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the body surface area be represented as A

Now , the equation will be

A = ( HW / 3600 )^1/2

A = √( HW / 3600 )   be equation (1)

where H is the height in centimeters and W is the weight in kilograms

Now , the value of H = 160 cm

The value of W = 64 kg

Substituting the values in the equation , we get

A = √ [ ( 160 x 64 ) / 3600 ]

On simplifying the equation , we get

A = √ ( 10240/3600 )

A = √ ( 2.8444 )

A = 1.6865 m²

Therefore , the body surface area is 1.6865 m²

Hence , the equation is A = 1.6865 m²

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In the incidence matrix, the element in row 1 column 5 is determined as 1.

The element in row 1 column 5 is calculated as follows;

In an incidence matrix, the rows represent the vertices of the graph, and the columns represent the edges.

Since vertex 1 and vertex 5 are adjacent to each other, the value of the element in row 1 column 5 will be 1, indicating that there is a connection between vertex 1 and vertex 5.

Had it been they are not adjacent, the element would have been 0. Since there will be no connection between them in the polygon.

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Accοrding tο the Pythagοrean theοrem, the height οf the hοuse is apprοximately 41.98 feet.

The Pythagοrean theοrem is a fundamental result in Euclidean geοmetry that describes the relatiοnship between the three sides οf a right-angled triangle. In equatiοn fοrm, this can be written as: c² = a² + b²

where c is the length οf the hypοtenuse, and a and b are the lengths οf the οther twο sides (alsο knοwn as the legs) οf the right-angled triangle.

In a right triangle, the rοοf acts as the hypοtenuse, and the base οf the hοuse and the height οf the hοuse fοrm the legs οf the triangle. Therefοre, we can use the Pythagοrean theοrem tο find the height οf the hοuse. In this case, the base οf the hοuse is a = 29 feet and the hypοtenuse is c = 51 feet. We can sοlve fοr the height οf the hοuse, which is b:

b² = c² - a²

b² = 51² - 29²

b² = 2601 - 841

b² = 1760

b = √1760

b ≈ 41.98

Therefοre, the height οf the hοuse is apprοximately 41.98 feet.

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Step-by-step explanation:

The given system of equations are ,

Solving (1) :-

=> -3x + 3y = 3

=> -3( x - y ) = 3

=> x - y = 3/-3

=> x - y = -1

=> x = y + 1

Put this value in (2)

=> -5(y+1) + y = 13

=> -5y -5 + y = 13

=> -4y = 18

=> y = 18/-4

=> y = -9/2 = -4.5

Finding x :-

=> x = -4.5 + 1

=> x = -3.5

Answer:

y+4 because bishh that's the answer lol your welcome

Answer:

c = 8.6

Step-by-step explanation:

\(a^{2}\) + \(b^{2}\) = \(c^{2}\)

\(5^{2}\) + \(7^{2}\) = \(c^{2}\)

25 + 49 = \(c^{2}\)

74 = \(c^{2}\)

\(\sqrt{74}\) = c

8.60232526704 ≈ c

Answer:

\((-\frac{36}{7},\frac{40}{7})\)

Step-by-step explanation:

Coordinates of points A and C are (-8, 6) and (2, 5).

If a point B intersects the segment AB in the ratio of 2 : 5

Then coordinates of the point B will be,

x = \(\frac{mx_2+nx_1}{m+n}\)

and y = \(\frac{my_2+ny_1}{m+n}\)

where \((x_1, y_1)\) and \((x_2,y_2)\) are the coordinates of the extreme end of the segment and a point divides the segment in the ratio of m : n.

For the coordinates of point B,

x = \(\frac{2\times 2+(-8)\times 5}{2+5}\)

  = \(-\frac{36}{7}\)

y = \(\frac{2\times 5+5\times 6}{2+5}\)

  = \(\frac{40}{7}\)

Therefore, coordinates of pint B will be,

\((-\frac{36}{7},\frac{40}{7})\)

Let us assume the original price of the violin to be = x

Sale price of the violin after discount = $60

Percentage of after a Markup on the violin = 25%

The

\((\dfrac{25}{100} ) \times x =60\)

\(x\div2 = 60\)

\(x = 60 \times \$2\)

  \(= \$120\)

So the original price of the violin was $120. I hope the procedure is clear enough for you to understand. You can always use this procedure for solving similar problems without the necessity of taking any external help.

Answer: D

Step-by-step explanation:

To find the difference, we want to make sure both denominators are equal.

\(\frac{(6x)(2x-3)}{(6x)(3x^2)} -\frac{(3x^2)(x+2)}{(3x^2)(6x)}\)

Now that the denominators are equal, we can distribute and multiply out.

\(\frac{12x^2-18x}{18x^3} -\frac{3x^3+6x^2}{18x^3}\)

With the fractions multiplied out, we can actually put it into one large fraction.

\(\frac{12x^2-18x-3x^3-6x^2}{18x^3}\)

Let's subtract the top expression.

\(\frac{-3x^3+6x^2-18x}{18x^3}\)

This may seem like our final answer, but we can actually factor out an 3x in the numerator and denominator.

\(\frac{(3x)(-x^2+2x-6)}{(3x)(6x^2)}\)

With the 3x factored out, they cancel out because 3x/3x=1.

Our final answer is:

\(\frac{-x^2+2x-6}{6x^2}\)

Answer:D

Step-by-step explanation:

The equilibrium point for James T-shirt business is (P, Q) = (7, 24).

To find the equilibrium point (P, Q) for James T-shirt business

we need to set the demand function equal to the supply function and solve for the values of P and Q.

Demand function: P = -Q + 31

Supply function: P = Q - 17

Setting them equal:

-Q + 31 = Q - 17

Adding Q to both sides and subtracting 31 from both sides:

2Q = 48

Dividing both sides by 2:

Q = 24

Now, we can substitute this value of Q into either the demand or supply function to find the corresponding value of P.

P = Q - 17

P = 24 - 17

P = 7

Therefore, the equilibrium point for James T-shirt business is (P, Q) = (7, 24).

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Answer:

We know that the wire was cut into 24 equal pieces and the length of each piece is 70 cm.

So, the total length of the wire = 24 x 70 cm = 1680 cm

We also know that 100 cm = 1 meter. Therefore,

1680 cm = 16.8 meters

Hence, the length of the wire is 16.8 meters.

Answer:

x=42°

y=48°

Step-by-step explanation:

For this to be a parallelogram m∠A = m∠C and m∠B = m∠D.

y+48=2y

subtract y from both sides

y=48

2x=3x-42

Subtract 3x from both sides

-x=-42

divide both sides by -1

x=42

Answer: 1/2x

Step-by-step explanation:

The molarity of the solution is (0.4507 ± 0.0007) M.

Molarity of a given solution is defined as the total number of moles of solute per litre of solution. The molality of a solution is dependent on the changes in physical properties of the system such as pressure and temperature as unlike mass, the volume of the system changes with the change in physical conditions of the system. Molarity is represented by M, which is termed as molar. One molar is the molarity of a solution where one gram of solute is dissolved in a litre of solution. As we know, in a solution, the solvent and solute blend to form a solution, hence, the total volume of the solution is taken.

Mass of NaCl = 2.634 ± 0.002 g

Molar mass of NaCl = 58.4430 g/mol

Volume = 100.00 ± 0.08 mL = 0.10000 ± 0.00008 L

Molarity = moles/volume = mass/(molar mass x volume)

= 2.634/(58.443 x 0.1000) = 0.45069555 M

Assuming no uncertainty/error in the molar mass,

%Error in molarity = %error in mass + %error in volume

= 100 x 0.002/2.634 + 100 x 0.08/100.00 = 0.16%

Absolute error in molarity = 0.16/100 x 0.45069555= 0.0007 M

So, Molarity = (0.4507 ± 0.0007) M

Therefore, the molarity of the solution is (0.4507 ± 0.0007) M.

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The formular for finding the amount on a simple interest given the principal, the time, and rate is

The given Principal, P=$750; Rate, R=2%; Time, T= 1year

Substituting the given parameters in the formula to calculate the Amount A

Hence, the amount of money in dollars in Paloma's account after 1 year is $900

Answer:

La respuesta es: 19

The answer is: 19

Step-by-step explanation:

Raíz cuadrada de 361? = Square root of 361? (Translator)

\(\sqrt{361} = \sqrt{19*19} = 19\)

Hope this helps!

¡Espero que esto ayude!

¿Puede marcar esta respuesta como la más inteligente?

¡Me ayudaría un montón!

¡Gracias!

Can you please mark this answer as brainiest?

It would help me a lot!

Thank you!

Answer:

The square foot of 361 is: 19

Step-by-step explanation:

Hope this helps

Answer:

m=0

Step-by-step explanation:

the slope is calculated using two points on the line and the formula

m = (y2 - y1) ÷ (x2 - x1)

where

x1 and y1 are the coordinates of point 1

x2 and y2 are the coordinates of point 2

for example, you can take

point 1 = (x1;y1) = (-2;3)

point 2 = (x2;y2) = (-1;3)

then your slope is

m = (3 - 3) ÷ (-1 - (-2)) = 0

notice that x1 is always at the left of x2 on the x axis

and it makes sense that your slope is 0 because for each x your y is the same

Step-by-step explanation:

a^0b^-2...place -2 and -3 respectively

(-2^0)(-3^-2)

(1)(1/-3^2)

(1)(1/9)

Answer:

3996 :)

Step-by-step explanation:

Answer:

3,996

Step-by-step explanation:

Hope this right.but if it's not,im so sorry

Answer:

A

Step-by-step explanation:

hope this helps

Answer:

\(=-6w^2-31w-35\)

Step-by-step explanation:

Apply Foil.
\(\left(3w+5\right)\left(-2w-7\right)=3w\left(-2w\right)+3w\left(-7\right)+5\left(-2w\right)+5\left(-7\right)\)
\(=3w\left(-2w\right)+3w\left(-7\right)+5\left(-2w\right)+5\left(-7\right)\)
\(=-6w^2-31w-35\)

5 is the difference between the two numbers 12 and 7.

Given,

In the question;

The difference between 3 times a number and 7 is 5.

Write and solve an equation to determine the number.

Now, According to the question:

Let's assume the unknown number to be x,

so three time the number would be 3x.

The difference between 3 times a number (3x) with 7 is 5, so we can write it as:

3x - 7 = 5

Now we can solve this equation to the find x (the unknown number).

3x = 5 + 7

3x = 12

x = 12/3

x = 4

Therefore 3x= 12

So, 5 is the difference between the two numbers 12 and 7.

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Answer:

$617.25

Step-by-step explanation:

$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25

Answer:$580.50

Step-by-step explanation:

:)