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Given the following vectors in component form: r= (2,3) s= (5,-3) t= (-8,6) Check all expressions whose sum represents the same vector as (r+s)+t

Answer:

Solving this system of linear equations by elimination we get x=-1 and y=-2

Option 1 is correct option.

Step-by-step explanation:

We are given equations:

[tex]y=x-1---eq(1)\\2x-y=0---eq(2)[/tex]

We need to solve by Elimination method.

Elimination method: Add or subtract the equations to get an equation in one variable.

Rearranging the equation 1 we get

[tex]-x+y=-1---eq(1)\\2x-y=0---eq(2)[/tex]

Add eq(1) and eq(2)

[tex]-x+y=-1\\2x-y=0\\------\\x=-1[/tex]

So, after eliminating y we get x=-1

Now finding y by putting x in eq(1)

[tex]y=x-1\\y=-1-1\\y=-2[/tex]

We get y=-2

So, solving this system of linear equations by elimination we get x=-1 and y=-2

Option 1 is correct option.

Answer:

Answer:

c= 14-7i-zdi

d=14/zi - 7/z - c/zi

Step-by-step explanation:

Solve for c by simplifying both sides of the equation, then isolating the variable.

Solve for d by isolating the variable by dividing each side by factors that dont contain the variable.

Since the box represents a proportional relationship, the empty box would be = 22.

When proportional relationship exists between two variables, it means that a particular value would be times with one variable to give the next compared variable.

For example, using the figures given above;

8 pages of notes = 16hours

1 page = 16/8 = 2 hours

Therefore, each page should be times by two to give the number of hours.

Learn more about multiplication here:

https://brainly.com/question/29793687

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Answer:

La fracción de bombones que se comieron entre los dos es [tex]\frac{7}{10}[/tex]

La caja tenía 40 bombones.

Step-by-step explanation:

Sabes que Andrés se comió 1/5 de los bombones de una caja y Ana 1/2 de la misma. Para conocer la fracción de bombones que se comieron entre ambos, debes sumar las fracciones que comieron cada uno:

[tex]\frac{1}{5} +\frac{1}{2}[/tex]

Para hacer suma de fracciones con distinto denominador, lo primero que hay que hacer es determinar un denominador común. Para eso debes calcular el mínimo común múltiplo (mcm) entre los denominadores.

En este caso, el mcm entre 5 y 2 es 10.

Ahora tienes que multiplicar cada numerador por el número que hayas multiplicado el denominador. Para ello, dividís el m.c.m entre el denominador inicial y el resultado se multiplica por el numerador de esa fracción:

Entonces:

[tex]\frac{1}{5} +\frac{1}{2}=\frac{2}{10} +\frac{5}{10}[/tex]

Ahora  simplemente sumas los denominadores:

[tex]\frac{1}{5} +\frac{1}{2}=\frac{2}{10} +\frac{5}{10}=\frac{7}{10}[/tex]

La fracción de bombones que se comieron entre los dos es [tex]\frac{7}{10}[/tex]

Sabes que quedaron 12 bombones en la caja. Representando 1 la cantidad total de bombones, y si se comieron 7/10 de la caja, entonces quedaron:

[tex]1-\frac{7}{10}[/tex]

Restando de manera similar al procedimiento usado para la suma se obtiene:

[tex]1-\frac{7}{10}=\frac{3}{10}[/tex]

Finalmente podes aplicar la siguiente regla de tres: si 3/10 representa los 12  bombones que quedaron en la caja, entonces en 1 (que representa la cantidad total de bombones) cuantos bombones hay?

[tex]cantidad total de bombones=\frac{1*12}{\frac{3}{10} }[/tex]

cantidad total de bombones=40

La caja tenía 40 bombones.

Answer:

Step-by-step explanation: The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Answer:

Step-by-step explanation

$12x17.5=210

$11x12.5=137.5

210+137.5=$347.5

Elizabeth worked for 17.5 Hours

Her sister worked 12.5 hours

Answer:

[tex]A.) 25[/tex]

Step-by-step explanation:

[tex]f(3)[/tex] means that the value of x is 3. Insert this into the equation for x, but DO NOT insert the value into f(x). To not get confused, remember that f(x) is basically y. You can insert y into the equation to not get mixed up:

[tex]f(x)=(3)^3-2\\\\or\\\\y=3^3-2[/tex]

Now simplify the equation, starting with exponents (PEMDAS):

[tex]x^3=x*x*x\\\\3*3*3\\\\9*3=27\\\\f(x)=27-2\\\\or\\\\y=27-2[/tex]

Simplify subtraction:

[tex]27-2=25\\\\f(x)=25\\\\or\\\\y=25[/tex]

:Done

Answer:

b=Ah

Step-by-step explanation:

multiply both sides by h

Answer:

1990

Step-by-step explanation:

Since the mother was 50 years old in 2000, she was 50 - (2000-1974) = 50 - 26 = 24 years old in 1974.

Hence, the daughter was 24/6 = 4 years old in 1974.

In "x" years after 1974, the daughter will be 4+x years old, while the mother will be 24+x years old.

We need to find "x" from the equation

2(4 + x) = 24+x.

8 + 2x = 24 + x,

x = 24 - 8 = 16.

1974 + 16 = 1990.

Answer In 1990 the mother doubles her daughter's age

Check In 1990 mother's age is/was 24 + 16 = 40 years.

In 1990 the daughter's age is/was 4 + 16 = 20 years.

9514 1404 393

Answer:

  2335.515

Step-by-step explanation:

The first increase multiplies the original amount by 1 + 5% = 1.05.

The second increase multiplies the already increased amount by 1 + 18% = 1.18.

Then the final amount is ...

  1885(1.05)(1.18) = 2335.515

Answer:

FIGURE 1:

x = 118; y = 96

FIGURE 2:

x = 85; y = 65

Step-by-step explanation:

FIGURE 1:

You know that x = 118 because of the Corresponding Angles theorem.

Because of the Exterior Angle Theorem (triangles), you can then figure out what y is with the following equation: y + 22 = 118 to get y = 96.

FIGURE 2:

In this figure, you first need to determine what the third angle in the bottom right triangle is. Using the Triangle Sum Theorem, you would find that the third angle is 70.

Because of the Vertical Angles Theorem, you know that the third angle in the top left triangle is also 70. With this information, you can now solve for x using the Triangle Sum Theorem to get x = 85.

Now that you know x, you can solve for y. The other 3 angles in the quadrilateral in which y is a part of are 90, 110, and 95. These could be figured out using the Linear Pair Postulate, the Vertical Angles Theorem, and the Linear Pair Postulate respectively. Now you can figure out y by using the Quadrilateral Sum Conjecture to get y = 65.

Answer: 17 to 15

Step-by-step explanation:

Answer:

L = (P - 2W)/2

Step-by-step explanation:

This is the formula for perimeter

P = 2L + 2W

Sustract 2W on both sides:

P-2W= 2L

Divide both sides by 2:

(P-2W)/2 = L

L= (P-2W)/2

Answer:

Slope: -3/4

y-intercept: (0,-5)

Step-by-step explanation:

Hope it helps!

Answer:

cylinder

Step-by-step explanation:

Answer:

1.C 2.A

Step-by-step explanation:

FIRST

Answer:

1= C

5= A

Step-by-step explanation:

The translation of the given question is

f (x) = - 8x− 4 what is the slope y and the position coefficient f (x) = (6x− 12): 3 what is the slope y and the position coefficient

Answer:

We need to determine slope and position coefficient which is the intercept.

f (x) = - 8x− 4   we know that f(x) is y

slope intercept form of the line

y = -8x -4

slope = -8

intercept = -4

similarly

f (x) = 6x− 12

y = 6x -12

slope =6

intercept = -12

Answer:

-5.4

Step-by-step explanation:

Answer:

y = 3(x-1)

Step-by-step explanation:

Here is an example so you know it works.

Regular: I pick 58 I take away 1 = 57*3=171

Algebraically: y = 3(58-1) First do parenthesis

y = 3(57)

y = 171

Hope this helps!!

Answer:

a

Step-by-step explanation:

Answer:

y = 4/3x + 4

Step-by-step explanation:

Answer:

y = -6

Step-by-step explanation:

y = mx +  b

-6 = -5(0) + b

b = -6

Answer:9-2 is the right one

Step-by-step explanation:

Answer:

$220.87 but 220.88 if u have to round up :)