What is the slope of a line perpendicular to the line whose equation is x + 2y = 2. Fully simplify your answer. ​

Answers

Answer 1

9514 1404 393

Answer:

  2

Step-by-step explanation:

We can solve for y to find the slope of the given line.

  x +2y = 2

  2y = -x +2 . . . . . subtract x

  y = -1/2x +1 . . . . divide by the coefficient of y

The slope is the x-coefficient, -1/2.

Any perpendicular line will have a slope that is the opposite reciprocal of this:

  -1/(-1/2) = 2

A perpendicular line will have a slope of 2.


Related Questions

Please help solve this using L.C.M and explain the steps plz ty.

Answers

9514 1404 393

Answer:

  (x, y) = (2, 3)

Step-by-step explanation:

The first step is to find the least common multiple of the denominators of each of the equations. If the denominators have no common factors, a reasonable choice is their product. Here, it works to start with the fractions that must be added, then compare the LCM found to the denominator on the right to see if any further factors must be included.

First equation:

  LCM = 3×4 = 12

  12(2x/3 -y/4) = 12(7/12) . . . . . multiply the equation by 12

 8x -3y = 7 . . . . . . . . . simplify

Second equation:

  LCM = 4×5 =20

  20(3x/4 -2y/5) = 20(3/10) . . . . multiply equation by 20

  15x -8y = 6 . . . . . . simplify

Solve by elimination

We can eliminate the y-variable by subtracting 3 times the second equation from 8 times the first:

  8(8x -3y) -3(15x -8y) = 8(7) -3(6)

  19x = 38 . . . . . simplify

  x = 2 . . . . . . . divide by 19

Substituting into the first equation gives ...

  8(2) -3y = 7

  3y = 9 . . . . . . add 3y-7

  y = 3 . . . . . divide by 3

The solution is ...

  (x, y) = (2, 3)

_____

There are many ways to solve such a system of equations. Using the LCM to eliminate fractions is one way to start. You can also do the arithmetic with the fractions intact, though most folks don't care to. In addition to the elimination method used here, you can use matrix or graphical methods, substitution, or any of the variations of Cramer's Rule.

QUESTION AT THE BOTTOM MAKE SURE YOU KNOW THE ANSWER FIRST PLAESE

Answers

Answer:

V=πr2h /3

so we just substate and we get

V≈130.9

Answer: 130.83 units cubed

Step-by-step explanation:

The formula for finding the volume of a cone is [tex]\pi r^2\frac{h}{3}[/tex]

We will use 3.14 for pi.

[tex]3.14r^2\frac{h}{3}[/tex]

Now let's sub in our variables and solve

[tex]3.14(5^2)(\frac{5}{3})\\3.14(25)(\frac{5}{3})\\78.5(\frac{5}{3})\\130 \frac{5}{6}[/tex]

5/6 is about .83

130.83

Which statements are correct? Check all that apply.

Answers

Answer:

E is the subset of I

S is the subset of T

R ⊂ P

Step-by-step explanation:

Expand the brackets 3(12-W)

Answers

Answer:

[tex]36 - 3m[/tex]

Step-by-step explanation:

[tex]3(12−m)[/tex]

[tex]3 \times 12+3(−m)[/tex]

[tex]36+3(−m)[/tex]

[tex]36−3m[/tex]

Hope it is helpful...

Los principales accionistas de la empresa global zafiro S.A. están interesado en una empresa que representa una importante competencia. Entre los datos de la empresa tiene los siguientes: la planta opera a nivel que oscila entre 80 y 100% de su capacidad. Cuando su nivel de actividad es de 80% los costos variables de fabricación totalizan $180,000,000. A su nivel normal de 90% de la empresa utiliza 40,500 horas de mano de obra directa y tiene costos de fabricación totales de $371,500,000. Determina los costos de fabricación finos y variables al 80 y 100% de su capacidad

Answers

Answer:

Los costos de fabricación fijo y variables al 80 y 100% de su capacidad son:

80%:        Fijos  =  $169,000,000.00        Variables  =  $180,000,000.00

100%:        Fijos  =  $169,000,000.00        Variables  =  $225,000,000.00

Explicación:

 

Los costos totales de fabricación (CT) vienen dados por la suma de los costos fijos (CF) y los costos variables (CV), recordando que los costos fijos son aquellos en los que se incurre independientemente de que se esté operando o no; mientras que los costos variables son aquellos que dependen del nivel de actividad pues corresponden a consumibles en el proceso productivo.

En el caso estudio, se sabe que los costos variables de fabricación totalizan $180,000,000.00 al nivel de actividad de 80%. Ya que estos costos incrementan o disminuyen en relación con el nivel de actividad, planteamos una regla de tres simple para calcular los costos variables en los niveles de actividad 90% y 100%

Si al    80%    de actividad    ----------------    los CV son    $180,000,000.00

al    90%    de actividad        ----------------    los CV serán    x

x  =  [(90)(180,000,000.00)]/(80)  =  202,500,000.00

Los costos variables de fabricación al nivel de actividad de 90% son  $202,500,000.00

Si al    80%    de actividad    ----------------    los CV son    $180,000,000.00

al    100%    de actividad       ----------------    los CV serán    x

x  =  [(100)(180,000,000.00)]/(80)  =  225,000,000.00

Los costos variables de fabricación al nivel de actividad de 100% son  $225,000,000.00

Para conocer los costos fijos basta recordar que al nivel de actividad de 90% lo costos de fabricación totales son $371,500,000.00. Este monto es la suma de los costos fijos y los costos variables; así que:

CT  =  CV  +  CF             ⇒                CV  =  CT  -  CF          ⇒    

CV  =  371,500,000.00  -  202,500,000.00  =  169,000,000.00

Los costos fijos de fabricación son de $169,000,000.00

Conclusión:

Los costos de fabricación fijo y variables al 80 y 100% de su capacidad son:

80%:        Fijos  =  $169,000,000.00        Variables  =  $180,000,000.00

100%:        Fijos  =  $169,000,000.00        Variables  =  $225,000,000.00

find the mesure of angle b

Answers

Answer:

It's C

Step-by-step explanation:

because there is a 90 degrees sigh behind it and those two angles need to add up to 90

Answer:

31

Step-by-step explanation:

b+59=90

b=90-59

b=31

hope it helps

what is (2²)×(2²)‐³ when simplified​

Answers

Step-by-step explanation:

Everything has been written ..

If 8 x - 4 = 6 - 3 x then x =

Answers

Answer:

x = 10/11

Step-by-step explanation:

Your welcome! :)

The answer is equals to 10/11 which is also the same as 0.9090 approximately it is 1

Question 6. * The number of likes a social media post has generated has been tracked as a function of the number of min since it was posted. The data is shown in the table below, where t is the number of minutes and I is the number of likes. If an exponential model was used to fit this data, which of the following would be closest to its prediction for the number of likes after one hour

Answers

Answer:

Step-by-step explanation:

yes

the washington monument in washington d.c is 555 feet tall. If a tourist sees the monument with a viewing angle of 8, how far away, to the nearest foot, is she from the monument?

Answers

Answer:

3,964 ft

Step-by-step explanation:

555 / tan 8° = 555/0.14 = 3,964 ft

A puppy named Dusty started out at 2 pounds and gained 1 pound every month. At
how many months did Dusty weigh 6 pounds?

Answers

Answer:

4 months

Step-by-step explanation:

Let x be the number of months

Dusty started at 2 lbs, and gains 1 lb every month

So we can make the equation

2+x=6

x=4

At 4 months, Dusty was 6 lbs

Joseph has 22 gallons of fertilizer. He uses 7 quarts to fertilize his plants.

How many quarts of fertilizer are left?

Answers

Answer:

81

Step-by-step explanation:

4 quarts = 1 gallon

there are 22 gallons so multiply 4 by 22

that equals 88 quarts then subtract 7

leaving you with 81 quarts

calculate 5/10÷9 please​

Answers

Answer:

1/2 times 1/9

which equals 1/18

Step-by-step explanation:

5/10 equals 1/2 and /9 equals *1/9

Answer: i think its 1/9

Classify the angle pairs

Answers

Answer:

Alternate exterior

Step-by-step explanation:

Angles 2 and 7 are on exterior sides of the transversal and also are opposite to one another. They are classified as alternate exterior.

Answer:

alternate exterior angles

Step-by-step explanation:

2 and 7 are on opposite sides of the transversal so they are called alternate

They are on the outside of the parallel lines so the are called exterior

Which of the following represents the ratio of the given side to the
hypotenuse?

HELP if you’re good at GEOMETRY!!

Answers

C that’s the answer

HELP ASAP!!!
(Question and answers pictured)

Answers

9514 1404 393

Answer:

  (d)  reflection about the x-axis, up 6 units

Step-by-step explanation:

The parent function y=1/x is multiplied by -1, which reflects it over the x-axis. Then 6 is added, which shifts it up 6 units.

The transformations are ...

  reflection about the x-axis, up 6 units

Seven times a number decreased by three-fourths of the same number is 25. What is the number?

Answers

Answer:

The number is four (4)

Step-by-step explanation:

look at the picture above, it explains everything

give one example of the following properties for whole number under addition​

Answers

Step-by-step explanation:

Objective: Recall the properties.

a) 3+1=4

b) 3+7=7+3

c) 3+(7+4)=7+(3+4)

d). 3(7+4)=(3×7)+(3×4)

2. How many degrees has PRQ been rotated to make PRQ

Answers

Answer:

180 degree

Step-by-step explanation:

180 degee

......

......

.......

Find the Value of X (in this picture)​

Answers

9514 1404 393

Answer:

  x = 64

Step-by-step explanation:

The two base angles in the isosceles obtuse triangle are equal, so are both 29°. The sum of these angles is 58°, which is the measure of the external acute angle at the upper left of the acute triangle.

The two base angles of the acute isosceles triangle are equal, so are both 58°. The angle marked x° has a measure that makes the sum of angles in that triangle be 180°.

  x° = 180° -2(58°)

  x° = 64°

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

I say number 2 idrk so I hope I helped >-<

I believe it’s 2/3 because there are 2 different events happening

Solve this equation 2n-9<25

Answers

Answer:

n < 17

Step-by-step explanation:

2n-9<25

Add 9 to each side

2n-9+9<25+9

2n < 34

Divide each side by 2

2n/2 < 34/2

n < 17

Answer:

n < 17

Step-by-step explanation:

Move the constant to the right -hand side and change its sign

2n<25+9

Then add the numbers

2n < 34

Divide both sides of the inequality by 2

so that would be n<17

3. Find the value of:
a) 9²
b) 15²
c) (0.2)²
d) (0.7)​

Answers

Answer:

Step-by-step explanation:

9^2

=9*9

=81

15^2

=15*15

=225

(0.2)^2

=0.2 * 0.2

=0.04

(0.7)

=0.7

what is the derivative of y=(x^2√(1+x))/((1+x^2)^3/2))

Answers

Step-by-step explanation:

Maple calculator used.........................

Answer:

Step-by-step explanation:

[tex]f(x)={x^2\sqrt{1+x}\over{(1+x^2)^{3\over{2}}}}\\\\f^\prime (x)=\frac{{{(x^2\sqrt{1+x})^\prime (1+x^2)^{\frac{3}{2}}+ (x^2\sqrt{1+x})}((1+x^2)^{\frac{3}{2}}})^\prime}{((1+x^2)^\frac{3}{2})^2}}}[/tex]

[tex](x^2 \sqrt{1+x})^\prime=2x\sqrt{1+x}+ \frac{x^2}{2\sqrt{1+x}}[/tex]

[tex]((1+x^2)^{\frac{3}{2}})^\prime=\frac{3}{2}(1+x^2)^{\frac{1}{2}} (2x)=3x(1+x^2)^{\frac{1}{2}}[/tex]

[tex]f^\prime(x)=\frac{\{(1+x^2)^{\frac{3}{2}}\}(2x\sqrt{1+x}+\frac{x^2}{2\sqrt{1+x}})+(x^2 \sqrt{1+x})(3x\sqrt{1+x^2})}{(1+x^2)^{3}}}[/tex]

[tex]\sqrt{1+x^2}=\sqrt{(1+x)(1-x)}[/tex]

[tex]f^\prime (x)=x\sqrt{1+x}~\frac{(1+x^2)^{\frac{3}{2}}(2+\frac{x^2}{2(1+x)})+3x^2\sqrt{1-x}}{(1+x^2)^3}[/tex]

Mathematical Literacy Assignment no 2021​

Answers

what’s the question ??

Help me pls find this answer I doubt mine is right ​

Answers

Answer:

whats the question?

comment so i can help:)

Find the measurement of the numbered angles

Answers

Answer:

m<1 = 60

m<2 = 30

m<3 = 80

Step-by-step explanation:

1. Solve for angle (1)

The sum of angles in any triangle is (180) degrees. As one can see, there is a (30) degree angle in this triangle, and a (90) degree angle. Bear in mind that the box around an angle indicates that it is a (90) degree angle. One can form an equation and solve for the unknown angle using this given information;

(30) + (m<1) + (90) = 180

Simplify,

120 + m<1 = 180

Inverse operations,

m<1 = 60

2. Solve for angle (2)

The vertical angles theorem states that when two lines intersect, the angles opposite each other are congruent. One can apply this theorem here by stating the following,

m<2 = 30

Thus one gets their answer, the measure of angle (2) must be (30) degrees by the vertical angles theorem.

3. Solve for angle (3)

As states above, the sum of angles in a triangle is (180) degrees. Since one has found the measure of angle (2), one can form an equation and solve for the measure of angle (3) using the given information, combined with the information found.

(m<2) + (70) + (m<3) = 180

Susbtitute,

30 + 70 + (m<3) = 180

Simplify,

100 + m<3 = 180

Invers eoperations,

m<3 = 80

x^ 3 + 3 x ^ 2 - 9 x - 27 draw the graph of the first derivative and the second derivative on the same set​

Answers

Answer:

The graph is in the second attached image.

Step-by-step explanation:

In the first attached image, you have three equation graphed, the first is in red color, it's the original equation:

x^3 + 3x^2 - 9x - 27

I graphed this to obtain a clear relation between the equation and its derivatives, the second graphed equation is in blue color and it's the first derivative:

First derivative = 3x^2 + 6x - 9 (It's a parabola)

And at last, we have in green color the second derivative:

Second derivative = 6x + 6 (It's a line)

As you can see, you only need the first and the second derivatives in the exercise, by this reason, in the second attached image you have the graph as you need to show in this exercise.

Russell deposited $200 to open a new bank account before he paid $250 for his portion of the rent. His bank charged him a $50 overdraft fee. Then he deposited his paycheck of $400. How much money is in Russell’s account now?

Answers

300 dollars I think is it multiple choice

The answers isssssssss

$300

:)

a total of 10000 was invested in two business ventures A and B .at the of the first year A and B yielded returns of 6% and 23÷4 respective on the original investment how was the original amount allocated if the total amount earned was 588.75?​

Answers

Answer:

(1)

compound amount = 802.5 $

invest earned = 52.5 $

Step-by-step explanation:

total amount = 10000 $

let amount x invested in ventures A and remaining (1000-x) on ventures B

now,

6x/100 +23/400(1000-x ) = 588.75

{24x+23(1000-x)}/400 =588.75

x=235500-230000

x=5500

Amount invested on A = 5500$

Amount invested on B = 4500$

(2)

principle=750$

time= 1 year

effective invest rate = 7%

a) compound amount = p(1+(r/w)^t

=750{1+(7/100)}^1

=802.5$

b) invest earned = 802.5-700 = 52.5$

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