write the equation of the line perpendicular to the given line y= -2/3 x + 1

Answer:

c 5

Step-by-step explanation:

Interpreting the situation, we have that:

a) The system of equations is:

[tex]y = 2x - 7[/tex]

[tex]y = 6 + x[/tex]

b) Solving the above system, it is found that Jacob scored 13 and Paul scored 19.

Item a:

In our system, we have that:

Jacob said that Paul's score would be twice his own score if he earned 7 more points, which means that:

[tex]y + 7 = 2x[/tex]

[tex]y = 2x - 7[/tex]

Paul responded to Jacob by telling him his score was only 6 points higher then Jacob's, which means that:

[tex]y = 6 + x[/tex]

Item b:

Equaling both equations:

[tex]2x - 7 = 6 + x[/tex]

[tex]x = 13[/tex]

[tex]y = 6 + x = 6 + 13 = 19[/tex]

Jacob scored 13 and Paul scored 19.

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Answer:

89.99

Step-by-step explanation:

u add i48934yr84 r84

Roberta paid the amount of $47.19 for the curtains before the sales tax.

The percentage is defined as a ratio expressed as a fraction of 100.

We have been given that equation editor A set of curtains normally sells for $58.99. Roberta used a coupon good for 20% off the regular price.

To determine the amount for the curtains before the sales tax

According to the given conditions, the solution would be as:

⇒ 58.99 × (1 - 20%)

⇒ 58.99 × (1 - 0.20)

Calculate the sum or difference and we get

⇒ 58.99 × 0.80

Apply the multiplication operation to get

⇒ 47.192

Round the number nearest to the hundredth,

⇒ 47.19

Therefore, Roberta paid the amount of $47.19 for the curtains before the sales tax.

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The Drink cost $1.75 each, and candy bars cost $0.75 each.

let

The price of a drink = x

The price of a candy bar  = y

Bart total purchase

Claudia total purchase

The cost of each can be calculated by combining the equations. Therefore,

2x + 2y  = 5

x + 4y = 4.75

x = 4.75 - 4y

2(4.75 - 4y) + 2y = 5

9.5 - 8y + 2y = 5

9.5 - 6y = 5

-6y = -4.5

y = -4.5/-6

y = 0.75

2(0.75) + 2x  = 5

1.5 + 2x = 5

2x = 5 - 1.5

2x = 3.5

x = 3.5/2

x = 1.75

Cost of a drink = $1.75

Cost of a candy bars = $0.75

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Answer:

In Celsius the degree is 50°

Step-by-step explanation:

Put the 122° into the equation given.

The length of the bacteria should be written in scientific notation.

0.00365 in scientific notation = 3 × 10^-3

Given.

length of the bacteria in decimal = 0.00365 cm long

Scientific notation is written in the format x × 10ⁿ

where,

x = any number between digit 1 and 10

n = exponent (positive or negative).

In this case, the nearest significant value is 3

So move the decimal point three times to where 3 is

That is,

0.00365 = 3.65

Since the decimal point is moved to the right 3 times, n = - 3

we have 10^-3

Therefore,

0.00365 in scientific notation = 3 × 10^-3

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Answer:  [tex]y = -\frac{2}{3}x+2[/tex]

Check out the diagram below.

======================================================

Work Shown:

[tex]2x + 3y = 6\\\\3y = 6-2x\\\\3y = -2x+6\\\\y = \frac{-2x+6}{3}\\\\y = \frac{-2x}{3}+\frac{6}{3}\\\\y = -\frac{2}{3}x+2\\\\[/tex]

The steps above show us subtracting 2x from both sides, then we divide both sides by 3 to fully isolate y.

The last equation is in [tex]y = mx+b[/tex] form with [tex]m = -\frac{2}{3}[/tex] as the slope and [tex]b = 2[/tex] as the y intercept.

9514 1404 393

Answer:

  567

Step-by-step explanation:

The multiplier each year is 1 -5% = 0.95. Applying that multiplier 9 times gives ...

  900(0.95^9) ≈ 567

About 567 voters are expected to vote 9 years from now.

60 + (3x - 13) = (5x + 1)

60 + 3x - 13 = 5x + 1

3x - 5x = 1 - 60 + 13

-2x = -46

-2x / -2 = -46 / -2

x = 23

Answer: x = 23

Answer:

try a or b hope this helps

Answer:

top right

Step-by-step explanation:

Answer:

2 birds 1 tree

Step-by-step explanation:

I think only not sure

Answer:

(x-2)(x-2) or (x-2)^2

Step-by-step explanation:

Hope this helps!

Answer:

75.72

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

I did this in class

Answer:

at y = 7

Step-by-step explanation:

When the line cross at the y-axis, x = 0

y = 2*0 + 7

y = 0 +7

y = 7

Answer:

y = -1/2c - 8

Step-by-step explanation:

2c - y = 6

2c -6 = y

Slope: 2. Slope of the perpendicular line: -1/2

Point (-4,-6)

y-intercept = -6 - (-1/2)(-4)

b = -6 -2 = -8

The equation of the line that passes through the point [tex](-4,-6)[/tex]  and is

perpendicular to the line [tex]2c - y = 6[/tex] is [tex]2x_{2} -y_{2} +2=0[/tex].

Equation of the line: The general equation of a straight line is [tex]y = mx + c[/tex]. This variable [tex]'c'[/tex] is called the intercept on the [tex]y-axis[/tex].  And [tex]y = c[/tex] is the value where the line cuts the [tex]y-axis[/tex].

Here,

[tex]m=[/tex] the gradient,

[tex]c=[/tex]  the intercept on the y-axis

We have,

An equation of the line that passes through the point [tex](-4,-6)[/tex]  and is

perpendicular to the line [tex]2c - y = 6[/tex] .

So,

Line [tex]2c - y = 6[/tex]  

[tex]2c - y = 6[/tex]

⇒ [tex]y=2c-6[/tex]

and  [tex]y = mx + c[/tex]

On comparing above two equations

[tex]m=2[/tex]

and Slope [tex]=-\frac{1}{m}[/tex]

So, Slope [tex]=-\frac{1}{2}[/tex]

Now,

Slope of the equation [tex](m)=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Slope of required equation [tex]=\frac{-1}{Slope \ of \ 2c-y=6}[/tex]

                                              [tex]=\frac{-1}{\frac{(-1)}{2} }=2[/tex]

Now,

Equation of line with slope [tex]2[/tex] and passing through point [tex](-4,-6)[/tex] ,

Slope of the equation [tex](m)=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

[tex]2=\frac{y_{2} -(-6) }{x_{2} -(-4) }[/tex]

[tex]2x_{2} +8=y_{2} +6[/tex]

[tex]2x_{2} -y_{2} +2=0[/tex]

So, the equation of the line is  [tex]2x_{2} -y_{2} +2=0[/tex] .

Hence, we can say that the equation of the line that passes through the point [tex](-4,-6)[/tex]  and is perpendicular to the line [tex]2c - y = 6[/tex] is [tex]2x_{2} -y_{2} +2=0[/tex].

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Answer:

57.6......

Step-by-step explanation:

v=lxbxh...........

Answer:

the slope is 2 and a=8 b=6

Step-by-step explanation:

Answer:

x = 27°

Step-by-step explanation:

Given the lines are parallel you have a pair of same-side interior angles and these angles = 180°

x + 72 + 3x = 180

4x + 72 = 180

4x = 108

x  = 108/4

x = 27°

The value of x will be 27 degree

Given the lines are parallel you have a pair of same-side interior angles and these angles = 180°

x + 72 + 3x = 180

4x + 72 = 180

4x = 108

x  = 108/4

x = 27°

The value of x will be 27 degree

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Hello logan693616!

[tex] \huge \boxed{\mathbb{QUESTION} \downarrow}[/tex]

A positive plus a negative will (always, sometimes, never) be negative.

Give an example that proves your answer:

[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]

A positive plus a negative will sometimes be negative.

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

f(-9) = -263

Step-by-step explanation:

f(-9) = -3(-9)^2 - 20

= -3(81) - 20

= -243 - 20

= -263

Answer:

2 (-3 - 1) = 6 (-1)?? If thats the equation you were trying to type then the answer is: -8 = -6

Step-by-step explanation:

Answer:

correct the answer is 7[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

The required cups of floor needed to make his cookies is 7 1/2 cups. Option D is correct.

Given that,
Nate is baking cookies for a bake sale. He needs 2 1/4 cups of flour for each batch of cookies, and he needs to make 3 1/3 batches, how much flour does Nate need to make his cookies is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Amount of floor for each batch of cookie = 2 1/4
Total floor required to bake 3 1/3 batches = 9 / 4 × 10 / 3 = 7 1 / 2

Thus, the required cups of floor needed to make his cookies is 7 1/2 cups. Option D is correct.

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Answer:

Step-by-step explanation:

[tex] \large\underline{\sf{Solution-}}[/tex]

Given that,

[tex]\rm \longmapsto\: {(x + iy)}^{3} = y + iv[/tex]

[tex]\rm \longmapsto\: {x}^{3} + 3 {x}^{2}(iy) + 3x {(iy)}^{2} + {(iy)}^{3} = y + iv[/tex]

[tex]\rm \longmapsto\: {x}^{3} + 3 {x}^{2}yi + 3x {i}^{2} {y}^{2} + {i}^{3} {y}^{3} = y + iv[/tex]

We know,

[tex] \purple{\rm \longmapsto\:\boxed{\tt{ {i}^{2} = - 1 \: \: \: and \: \: \: {i}^{3} = - i }}} \\ [/tex]

So, using this, we get

[tex]\rm :\longmapsto\: {x}^{3} + 3 {x}^{2}yi - 3x{y}^{2} - i{y}^{3} = y + iv[/tex]

[tex]\rm \longmapsto\: ({x}^{3} - 3x {y}^{2}) + i(3{x}^{2}y- {y}^{3})= y + iv[/tex]

On comparing real and Imaginary parts, we get

[tex]\rm \longmapsto\:y = {x}^{3} - 3 {xy}^{2} [/tex]

and

[tex]\rm \longmapsto\:v = {3x}^{2}y - {y}^{3} [/tex]

Now, Consider

[tex]\rm \longmapsto\:\dfrac{y}{x} + \dfrac{v}{y} [/tex]

[tex]\rm \:  =  \: \dfrac{ {x}^{3} - {3xy}^{2}}{x} + \dfrac{ {3yx}^{2} - {y}^{3} }{y} [/tex]

[tex]\rm \:  =  \: \dfrac{ x({x}^{2} - {3y}^{2})}{x} + \dfrac{y({3x}^{2} - {y}^{2})}{y} [/tex]

[tex]\rm \:  =  \: {x}^{2} - {3y}^{2} + {3x}^{2} - {y}^{2} [/tex]

[tex]\rm \:  =  \: 4{x}^{2} - {4y}^{2}[/tex]

[tex]\rm \:  =  \: 4({x}^{2} - {y}^{2})[/tex]

Hence, Proved

Answer:

2+y over 5

Step-by-step explanation:

5x + y =2

5x=2+y

x=2+y over t

Answer:

Step-by-step explanation:

Answer:

-63 that should help

Step-by-step explanation:

Answer:

[tex]f^{-1}[/tex] (- 14) = 9

Step-by-step explanation:

f(9) = - 14 maps x = 9 to y = - 14

The inverse maps y = - 14 to x = 9 , that is

[tex]f^{-1}[/tex] (- 14) = 9

Answer:

its 0

Step-by-step explanation:

yea i made that up I NEED POINTS ALR