pls help me
The line 2y + x = 1 is perpendicular to a line L. Line L passes through point (2, -1). Determine the equation of L in the form y = mx + c, where m and c are constants.

Answers

Answer 1

The equation of the perpendicular line is y = 2x - 5

How to determine the perpendicular line equation?

From the question, we have the following parameters that can be used in our computation:

2y + x = 1

Make y the subject

y = -1/2x + 1/2

Also, from the question;

We have the following points

Point = (2, -1) i.e.  (x, y) = (2, -1)

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = -1/2

This means that the slope is -1/2

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the other line is 2

The equation of the line is then calculated as

y = m(x - x₁) +y₁

Where

m = 2

(x₁, y₁) = (2, -1)

So, we have

y = 2(x - 2) - 1

Evaluate

y = 2x - 5

Hence, the line has an equation of y = 2x - 5

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Related Questions

The value of almost everything you own assets such as a car computer oar house depreciates goes down overtime when an asset value decreases by a fixed amount each year the depreciation is called straight line depreciation suppose your truck has an initial value of $12,400 depreciates $820 per year write an equation illustrates this function if you plan to keep your truck for seven years and determine the value of the truck at the end of this. Period let v represent the dependent variable in T represent the independent variable

Answers

Answer:

A

Step-by-step explanation:

Trust

The correct equation is,

⇒ y = 12,400 - 820r

And, Amount for 7 years is, $6,660

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

Here, your truck has an initial value of $12,400 depreciates $820 per year.

Let number of years = r

Hence, We get the correct equation is,.

⇒ y = 12,400 - 820r

So, For r = 7 years;

⇒ y = 12400 - 820 x 7

⇒ y = 12400 - 5740

⇒ y = $6,660

Thus, The correct equation is,

⇒ y = 12,400 - 820r

And, Amount for 7 years is, $6,660

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i need help with this since it’s due tomorrow, listing the side lengths of XYZ in order from smallest to largest

Answers

Answer:

∠ x , ∠ z , ∠ y

Step-by-step explanation:

plz answer the question and explain how you got the answer​

Answers

Answer:
1,741.67 yards
Step-by-step explanation:
1 foot = 1/3 yards
5,225 divided by 3 is 1,741.67

Writing Linear Equations


Two less than five times a number x is equal to 13. Solve for x.

Answers

Answer:

x = 3

Step-by-step explanation:

5x - 2 = 13  (write the equation)

5x - 2 + 2 = 13 + 2  (isolate the variable)

5x = 15

5x/5 = 15/5  (simplify)

x = 3

Answer:  x=3

Step-by-step explanation:

13=5x-2

13+2=5x

15=5x

x=15/5

x=3

plz answer
correctly it is worth a lot of points

Answers

75% is covered by the shaded area.

Answer:

75%

Step-by-step explanation:

while shopping for clothes tracy spent $25 less than 3 times what curtis spent. Tracy spent $14. write and solve an equation to find how much curtis spent. Let x represent how much curtis spent.

Answers

3x-25=14

First, you'll add the 25 to the other side of the equation because its negative. 25+14 =39. then you'll divide these by 3. (because it says 3 times what curtis spent.)

39÷3=13. so the answer is 13. curtis spent 13 dollars shopping.

Solve for x
3x+7=57 pleas hurry

Answers

Answer: x=50/3

Step-by-step explanation:

Answer:

16.6 ( the 6 is repeated) or 16 and 2/3

Step-by-step explanation:

Take the 7 away which equals 50 and then divide by 3..

temperature in Moscow was 2 degrees Celsius then it dropped to 8 degrees Celsius below zero by how many degrees did the temperature drop​

Answers

Answer:

10

Step-by-step explanation:

2--8

2+8

10

8 below zero is -8

For what value of a is - 4a zero of the polynomial p(x) = x ^ 2 - x - (2a + 2) ^ 2​

Answers

Answer: [tex]a=\dfrac{1\pm \sqrt{13}}{6}[/tex]

Step-by-step explanation:

Given

Quadratic Equation is  [tex]x^2-x-(2a+2)[/tex]

[tex]-4a[/tex] is the solution of the given equation

[tex]\therefore (-4a)^2-(-4a)-(2a+2)^2=0\\\Rightarrow 16a^2+4a-(4a^2+4+8a)=0\\\Rightarrow 12a^2-4a-4=0\\\Rightarrow 3a^2-a-1=0\\\\\Rightarrow a=\dfrac{1\pm \sqrt{1+12}}{2\times 3}=\dfrac{1\pm \sqrt{13}}{6}[/tex]

This image shows a square pyramid.

What is the surface area of this square pyramid?


32 ft²

64 ft²

128 ft²

136 ft²

Answers

Answer:

please provide the image! would love to help.

Step-by-step explanation:

Answer:

128

Step-by-step explanation:

I took the test

Solve for m angleUVW if m angle UVX = 40° and m angle XVW = 68°

Answers

Answer:

The measure of the obtuse angle marked UVW is 108

Step-by-step explanation:

Here, we want to get the measure of the angle marked UVW

To get this, we refer to the given diagram

From the diagram;

UVW = UVX + XVW

UVW = 68 + 40

UVW = 108 degrees

Find area of the figure. PLEASE HELP!

Answers

Answer:

69

Step-by-step explanation:

Answer:

69 m²

Step-by-step explanation:

The figure is composed of 2 right triangles

The area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

A of triangle on left is

A = [tex]\frac{1}{2}[/tex] × 9 × 10 = 45 m²

A of triangle on right is

A = [tex]\frac{1}{2}[/tex] × 8 × 6 = 24 m²

Total area = 45 + 24 = 69 m²

Identify the set as finite or infinite
{1 1/4, 1/16, 1/64,,,}

Answers

Answer:

??????

Step-by-step explanation:

What that does not make sence at all

A bat was flying for four and a half hours at a constant speed of ten kilometers per hour. How far did the bat travel in meters?

Answers

Answer:

45000 m

Step-by-step explanation:

Speed = distance / time

10 km/h = distance / 4.5 hours

distance = 10 x 4.5 = 45 km

Kilometre needs to be converted to metres

Ikm = 1000m

45 x 1000 = 45,000m

Which list orders the numbers from least to greatest

Answers

The second line
least to greatest: -3, -2.4, -21/4, -1.5, -11/8

A bottel holds z ounces of water a second bottel holds 16 onces witch is 8/5 times as much warter how much does the frist bottel hold

Answers

Answer:

The first bottle holds 10 ounces of water.

Step-by-step explanation:

The bottle holds z ounces.

The second bottle holds 16 ounces, which is 8/5 times the first, which is z.

How much water does the first bottle holds?

[tex]\frac{8z}{5} = 16[/tex]

[tex]8z = 16*5[/tex]

[tex]8z = 80[/tex]

[tex]z = \frac{80}{8}[/tex]

[tex]z = 10[/tex]

The first bottle holds 10 ounces of water.

pls help me! will give brainliest

Answers

Answer: (-1, 3)

Steps
X value to the left means add
X value to the right means subtract
Y value down means subtract
Y value up means add
-1,3 is the answer y -1 x 3

help me pls I would aprreciate it

Answers

Answer:

b

Step-by-step explanation:

What value of x would make the figure a parallelogram (show your math please)

Answers

Answer:

2

Step-by-step explanation:

Diagonals of a parallelogram bisects each other.

Therefore,

4x = 8

x = 8/4

x = 2

Or

5x = 3x + 4

5x - 3x = 4

2x = 4

x = 4/2

x = 2

Find 33⅓% of ⅘ of $4.50.​

Answers

The answer i got was 120666.6 dollars

I hope this helps you :)

Help please I need help

Answers

Answer:

12=4 3          4=2 2

Step-by-step explanation:

PLXS HELP NEED BY TODAY

Answers

Answer:

I believe its 17, this is a 90 degree angle, so 90-73=17

Step-by-step explanation:

the degree of a right angle would be 90° so you would solve it by subtracting 90°-73°=x°
x= 17°

Ashley started a savings account with Chase bank. She initially put in $200 in her account. If she was granted a .08% semi-annually, how much would she have in her account after a year?​

Answers

200 * .08 = 16
account now equals 216
216 * .08 = 17.28
total after one year = $233.28

Un albañil pone azulejos a una pared de 6 m de largo y 2,4 m de alto.Los azulejos son cuadrados de 20 cm de lado

Answers

Pregunta completa:

Un albañil pone azulejos a una pared de 6 m de largo y 2,4 m de alto. Los azulejos son cuadrados de 30 cm de lado. ¿Cuants, cajas tendra que comprar si en una caja hay 25 azulejos? Con procedimiento.

Respuesta:

160 tejas

7 cajas

Explicación paso a paso:

Dimensión de la pared = 6 m por 2,4 m

Área de la pared = 6 m * 2,4 m

Área de la pared = 14,4 m²

Longitud lateral, s de teja cuadrada = 30 cm = 0,3 m

Área de la loseta cuadrada = s² = 0.3² = 0.09m²

Número de baldosas cuadradas necesarias:

14,4 m² ÷ 0,09 m²

= 160 fichas cuadradas

Si hay 25 fichas en una caja;

Número de cajas a comprar:

160/25

= 6,4 ≈ 7 cajas

Help please due td!!

Answers

B.) 23

the equation set up is “ 4x+13=105 “
do -13 on both sides which would then leave you with “ 4x=92 “. then you just divide 4x on both sides, giving you the answer of 23 :D

.............Option B)

Can you guys help me answer question 1 and 2

Answers

For 1 the answer is A. For 2 I can’t see the choices

Please help algebra work

Answers

Answer:

I think it is J

Step-by-step explanation:

the x-2.... so on x axis on 2....and +5 is y intercept

Given f(x)=(0.5)^x, give the rule for g(x) if it is f(x) shifted to the left 1 unit, down 3 units, and reflected over the x-axis

Answers

Answer:

g(x) = -(0.5)^(x + 1) + 3

Step-by-step explanation:

First, let's define the transformations used in this case:

Horizontal shift (horizontal translation):

If we have a function f(x), a horizontal translation can be written as:

g(x) = f(x - N)

if N is positive, the translation is to the right

if N is negative, the translation s to the left.

Vertical shift (vertical translation):

If we have a function f(x), a vertical translation can be written as:

g(x) = f(x) + N

if N is positive, the translation is upwards

if N is negative, the translation is downwards.

Reflection over the x-axis.

If we have a function f(x), a reflection over the x-axis is written as:

g(x) = -f(x).

Now we have the function:

f(x) = (0.5)^x

Let's apply the transformations:

"shifted to the left 1 unit"

g(x) = f(x - (-1) ) = f(x + 1)

"shifted down 3 unts"

g(x) = f(x + 1) - 3

"reflected over the x-axis"

g(x) = -(  f(x + 1) - 3 ) = -f(x + 1) + 3

now we can replace the function equation here and get:

g(x) = -f(x + 1) + 3 = -(0.5)^(x + 1) + 3

10x5+4to the power of 2+(5+30 divided by 10

Answers

Answer:

10 * 5 + 4^2 + (5 + 30 ÷ 10)=74

Answer:

74

Step-by-step explanation:

HELPPPPPPPPPPPPPPPPP

Answers

Answer:

I think it's 160 square inches. Try L x W x H (length multiplied by width multiplied by height). So that would mean 4 x 5 = 20 x 8 = 160,

hope this helps!

Answer:

                                                                                         

Step-by-step explanation:

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