Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in slope-intercept form (y = mx + b) with the values of m and b given as decimals, rounded to the nearest hundredth if necessary.

y = 2x ; (4, −4)

Problem 1

Answer: C) No solution

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Explanation:

We have z = -4 and 4z = -4 at the same time. Solving 4z = -4 leads to z = -1

So in effect we have z = -4 and z = -1 at the same time, but this is a contradiction. A variable can only hold one number at a time.

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Problem 2

Answer: C) Infinitely many solutions

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Explanation:

The two equations are equivalent. You can prove as such by isolating 2y in the first equation.

5x = 8-2y

5x+2y = 8

2y = 8-5x

2y = -5x+8

-5x+8 = 2y

This shows the first equation is equivalent to the second, and vice versa. They both graph the same line. Any point along the line is a solution. So that's why there are infinitely many of them.

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Problem 3

Answer: Choice A) [tex]-6 < y \le 3[/tex]

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Explanation:

The range is the set of the possible y values. We're concerned with every y coordinate of each (x,y) solution. So we only focus on the shaded region.

The dashed line means we exclude the boundary. It's an electric fence we cannot touch. So y > -6 or -6 < y describes part of the range

The other part is [tex]y \le 3[/tex] since y = 3 is the when the highest point occurs.

So writing [tex]-6 < y \le 3[/tex] describes all possible y values of each (x,y) solution in the shaded region.

Answer:

A. 0.5 < x < 7.5

Step-by-step explanation:

Answer:

[tex] \huge{ \bold{ \boxed{ \tt{( - 1 \: , - 4)}}}}[/tex]

Step-by-step explanation:

Let the point R ( - 3 , - 7 ) be ( x1 , y1 ) and S ( 1 , -1 ) be ( x2 , y2 ).

[tex] \text{Finding \: the \: midpoint} : [/tex]

[tex] \boxed{ \sf{midpoint = ( \frac{x1 + x2}{2 } \: , \frac{y1 + y2}{2} )}}[/tex]

[tex] \sf{➳midpoint = ( \frac{ - 3 + 1}{2} \:, \frac{ - 7 + ( - 1)}{2} })[/tex]

[tex] \text{Remember} : [/tex]

[tex] \sf{➳midpoint = ( \frac{ - 3 + 1}{2} \: , \frac{ - 7 - 1}{2} )}[/tex]

[tex] \text{Remember} : [/tex]

[tex] \sf{➳midpoint = ( \frac{ - 2}{2} \: , \frac{ - 8}{2} )}[/tex]

[tex] \sf{➳midpoint = ( - 1 \:, - 4})[/tex]

[tex] \text{Hope \: I \: helped!}[/tex]

[tex] \text{Best \: regards!}[/tex]

[tex] \text{TheAnimeGirl}[/tex]

Answer:

1 C

2 D

3 C

4 B

5 A

6 C

Step-by-step explanation:

Answer: 1 C

2 D

3 C

4 B

5 A

6 C

Step-by-step explanation:

Answer:

A.-9

C.5

D.7

Explanation:

Take every number and put it in the spot of x  and multiply every number by themselves  like 9x9 or  5x5. Then see if it is equal too or less than 81. If it is equal too or less than 81 then it is correct.

Could I please have BRAINLIEST?

Answer:

200,000

Step-by-step explanation:

I hope this helped!

Answer:

4.23

Step-by-step explanation:

First, you need to write this mixed number into an improper fraction, which would be 423/100. Then all you need to do is divide 423 by 100 to get 4.23.

Answer:

c = 18

Step-by-step explanation:

Given

[tex]\frac{c}{3}[/tex] = [tex]\frac{30}{5}[/tex] = 6

Multiply both sides by 3

c = 3 × 6 = 18

Answer:

Step-by-step explanation: a

Answer:

☆< 《HOPE IT WILL HELP YOU》>☆

Step-by-step explanation:

Y=1.5x+2

y=1.5 (1) +2

y=1.5+2

y=3.5

y=1.5(2)+2

y=3+2

y=5

y=1.5 (3)+2

y=4.5+2

y=6.5

y=1.5 (4)+2

y=6+2

y=8

y=1.5 (5)+2

y=7.5+2

y=9.5

Ms. Willow's birth year = x

This year = 2020

80th birth year = x + 80

30th birth year = x + 30

Present age = 2020 - x

(x + 2020) - (x + 80 + x + 30) + (2020 - x) = 42

Simplify the right side.

-2x + 3930 = 42

Subtract 3930 from both sides.

-2x = -3888

Divide both sides by -2

x = 1944

1944 is Ms. Willow's birthday year.

As stated previously, her present age is 2020 - x, which equals 78

Ms. Willow is 78 years old

Here we want to interpret a word problem and transform it into an equation that we can solve.

We will find that her current age is 76.

First, let's define variables:

Her birth year = x

This year = 2021  (naturally this depends on the year we are on)

80th birth year = x + 80

30th birth year = x + 30

Then the actual age is the difference between the current year and the year when she was born:

Age = 2021 - x

What she says is:

"If you add the year of my birth to this​ year, subtract the year of my 80th birthday and the year of my 30th ​birthday, and then add my present​ age, the result is ​42."

(x + 2021) - (x + 80 + x + 30) + (2021 - x) = 42

Now we can solve this for x:

x + 2021 - x - 80 - x - 30 + 2021 - x  = 42

(x - x - x - x) + 2021 - 80 - 30 + 2021 = 42

-2*x + 3932 = 42

3932 - 42 = 2*x

3890 = 2*x

3890/2 = x = 1945

The current age is:

age = 2021 - x = 2021 - 1945 = 76

Her current age is 76.

If you want to learn more, you can read:

https://brainly.com/question/24595783

Answer:

Step-by-step explanation:

Area of a rectangular canvas = base x height (A = b*h)

where A = 252 in²

          b = 14 in

find:  height (h)

solution:

just plugin the values into the formula:

252 = 14 * h

h = 252 / 14

h = 18 in

Answer:

n=−3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

13−2n=19

13+−2n=19

−2n+13=19

Step 2: Subtract 13 from both sides.

−2n+13−13=19−13

−2n=6

Step 3: Divide both sides by -2.

−2n/−2=6/−2

[tex]13 - 2n = 19[/tex]

Subtract sides -13

[tex]13 - 13 - 2n = 19 - 13[/tex]

[tex] - 2n = 6[/tex]

Divided sides by -2

[tex] \frac{ - 2}{ - 2}n = \frac{ 6}{ - 2} \\ [/tex]

[tex]n = - 3[/tex]

Done....♥️♥️♥️♥️♥️

Answer:

22

Step-by-step explanation:

U should first multiply, then add, i.e.

4+18

=22

Answer:

-27

Step-by-step explanation:

[tex]( \sqrt{3} )^{4} - {6}^{2} \\ \\ = {3}^{2} - {6}^{2} \\ \\ = (3 + 6)(3 - 6) \\ \\ = 9( - 3) \\ \\ = - 27[/tex]

Answer: $33.26

Step-by-step explanation:

12 x 4= 48 (amount of money made from sales)

48 - $14.74 = $33.26

So she made $33.26 in profits

Answer:

Fred's dog weighed 33.75 pounds at the appointment in March

Step-by-step explanation:

First you need to convert 25% to a decimal by moving the percent sign twice to the left and you will get 0.25.

Then you multiply 45 by 0.25 to find 25% of 45.

45 x 0.25= 11.25

After multiplying, you just have to subtract the product (11.25) by 45.

45 - 11.25 = 33.75

This is the same was doing 45-25%

Answer:

x = 6, Y =7

Step-by-step explanation:

if you need explanation please ask in the comments .....I will edit the answer

Answer:

Roughly about 1,407.

Step-by-step explanation:

Simply multiply 24 times 58 2/3

The 58 2/3 times 24 will be equal to the 1408 hours thus the length of the day on Mercury will be 1408 hours.

Multiplication is the general procedure in mathematics in which we multiply two or more numbers by each other to find a new multiplied number.

Multiplication gives us a resultant number that will be very big as compared to the number which is going to be multiplied if and only if the number which is going to be multiplied is more than 1.

As per the given,

The length of a day on Mercury is 58 2/3 times the length of a day on earth.

58 2/3 = 58 + 2/3 = 176/3

176/3 times 24 will be,

176/3 × 24 = 1408 hours.

Hence "The 58 2/3 times 24 will be equal to the 1408 hours thus the length of the day on Mercury will be 1408 hours".

For more information about multiplication,

brainly.com/question/14059007

#SPJ2

Answer: 40.425

Step-by-step explanation: multiply 57.75 by .3 to get 17.325 and then subtract that from the original amount

Step-by-step explanation:

This is the furthest I could get.

If you want to write it as a result with no powers, let me know and I will write it.

Answer:

See below

Step-by-step explanation:

Given fractions

To arrange the fractions we need to bring them to common denominator

In ascending order

Reverse order

Answer:

2100

Step-by-step explanation:

The laptop costs $300 less than the desktop, so...

let x = cost of laptop

then x+300 = cost of desktop

The total finance charge of $252 is from 7% of the cost of the laptop and 6% of the cost of the desktop:

252+=+.07%28x%29+%2B+.06%28x%2B300%29

252+=+.07x+%2B+.06x+%2B+18

234+=+.13x

1800+=+x

The cost of the laptop is x = $1800;

the cost of the desktop is x+300 = $2100

Complete Question

The complete question is shown on the first and second  uploaded image

Answer:

Part 1

 The correct option is  B

Part 11

   The correct option is  H

Step-by-step explanation:

From the question we are told that

     The sample size is  n  =  15

Generally the sample mean for the input temperature is mathematically represented as

        [tex]\= x _1 =  \frac{\sum x_i}{n}[/tex]

        [tex]\= x _1 =  \frac{57.6 + 68.9 \cdots +60.4 }{15}[/tex]

      [tex]\= x _1 =  62.57 [/tex]

Generally the sample mean for the output temperature is mathematically represented as

        [tex]\= x _2 =  \frac{\sum x_i}{n}[/tex]

        [tex]\= x _2 =  \frac{65.1 + 74.4 \cdots +67.3 }{15}[/tex]

      [tex]\= x _2 =  55.97 [/tex]

Generally the difference between the mean of the input temperature and that of the output temperature is

      [tex]d =  \= x_1 - \= x_2[/tex]

=>    [tex]d =  62.57 - 55.97 [/tex]

=>    [tex]d = 6.6[/tex]

Generally the standard deviation of the difference between the input temperature and the output temperature is mathematically represented as

     [tex]s_d  = \sqrt {\frac{1}{n-1 }  \sum [d_i - d]^2}[/tex]

=>   [tex]s_d = \sqrt{\frac{[(57.6 - 65.1) - 6.6]^2+[(68.9 - 74.4) - 6.6]^2+ \cdots +[(68.1 - 74.7) - 6.6]^2  }{15-1} }[/tex]

=>   [tex]s_d = 1.732 [/tex]

The null hypothesis is  [tex]H_o  :  \mu_1 -\mu_2 =  6[/tex]

The alternative hypothesis is  [tex]H_a :  \mu _1 - \mu_2\ne 6[/tex]

Generally the test statistics is mathematically represented as

           [tex]t  =  \frac{d - 6}{ \frac{s_d}{ \sqrt{n} } }[/tex]

          [tex]t  =  \frac{6.6- 6}{ \frac{1.732}{ \sqrt{15} } }[/tex]

          [tex]t  =  1.342[/tex]

Generally the p-value is mathematically represented as

    [tex]p-value  =  2 *  P(t > 1.342)[/tex]

From the student t distribution table( reference - danielsoper(dot)com(slash)statcalc(slash)calculator) at a degree of freedom of  df = n-1 =  15-1 = 14

       [tex]P(t >  1.342) =  t_{1.342 , 14} =  0.100478[/tex]

So    

     [tex]p-value  =  2 *   0.100478)[/tex]

     [tex]p-value  =  0.201[/tex]

From the values obtained we see that the [tex]p-value >  \alpha[/tex] hence the decision rule is  fail to reject the null hypothesis

The  conclusion is  

The cooling system changes the temperature of the water by 6 degrees.  

Answer: 70/7

Step-by-step explanation: If each player gets 7 pieces, and there are 70 pieces in total, you would divide the amount of pieces each player gets from the actual pieces.

Answer:

Fraction: 9/10

Decimal: 0.9

Percent: 90%

Answer:

280 cm

or 280cm^2

Step-by-step explanation:

Answer: 280 cm^3

Step-by-step explanation: Multiply 7 x 5 x 8 = 280