In ΔVWX, x = 97 cm, v = 48 cm and ∠W=28°. Find the length of w, to the nearest centimeter.

Answer:

(y - 9) = 7/4(x + 7)

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope slopes.

The first line is 7x - 4y - 9 = 0.

First let's convert this to y = mx + b form.

Add 4y to both sides.

Divide each term by 4.

The slope is 7/4. A line parallel to this one will also have a slope of 7/4.

The standard point-slope form is:

For the point-slope form, you need two things: a point and a slope.

Plug in our given information.

Simplify.

Learn with another example.

https://brainly.com/question/26681302

Hope this helps!

Let's consider the information given:

What do we want to solve: put the equation of the line in point-slope form

 ⇒ point-slope form ⇒ [tex]y-y_{0}=m(x-x_{0} )[/tex]

              ⇒ first put it into slope-intercept form [tex]y = mx +b[/tex]

                         -where m is the slope and b is the y-intercept

                                 [tex]7x-4y-9=0\\7x-4y=9\\-4y=-7x+9\\y=\frac{7}{4}x-\frac{9}{4}[/tex]

               ⇒ Slope is 7/4

     2. When two lines are parallel, their two slopes are equal, and since

         the line passes through (-7,9), use point-slope form

                [tex]y-9=\frac{7}{4}(x+7)[/tex] <== point-slope form

What do we also want: find the general form ⇒ Ax + By = C

               [tex]y-9=\frac{7}{4}(x+7)\\ y-9=\frac{7}{4}x+\frac{49}{4} \\-\frac{7}{4}x+y=9+\frac{49}{4} =\frac{36}{4} +\frac{49}{4} =\frac{85}{4} \\-\frac{7}{4}x+y=\frac{85}{4}[/tex]<== general form

Hope that helps!

Step-by-step explanation:

the answer is in the picture

Answer:

Step-by-step explanation:

Problem 8-21 (Algorithmic)

Round Tree Manor is a hotel that provides two types of rooms with three rental classes: Super Saver, Deluxe, and Business. The profit per night for each type of room and rental class is as follows:

Rental Class

Answer:

[tex]\displaystyle \int_{0}^{5}\int_{0}^{-3x+15}f(x,y) \ dy dx[/tex]

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

Explanation:

We're tasked to find the values of a,b,c,d in the following

[tex]\displaystyle \int_{a}^{b}\int_{c}^{d}f(x,y) \ dy dx[/tex]

The equation of the line through the points (0,15) and (5,0) is y = -3x+15

When picking a particular fixed x value, the y values span from y = 0 to y = -3x+15 which determines the bounds of integration for the inner integral.

So this means c = 0 and d = -3x+15

The values of a,b are much easier and they are a = 0 and b = 5 to represent the x coordinates of the left-most and right-most points.

-----------------

Since,

we go from this

[tex]\displaystyle \int_{a}^{b}\int_{c}^{d}f(x,y) \ dy dx[/tex]

to this

[tex]\displaystyle \int_{0}^{5}\int_{0}^{-3x+15}f(x,y) \ dy dx[/tex]

Without knowing what f(x,y) is, we cannot compute the integral. Luckily it seems like your teacher is only interested in setting up the integral rather than computing its numeric value.

Answer:

ok whats the problem

Step-by-step explanation:

Step-by-step explanation:

um were is the question

Answer:

-4

Step-by-step explanation:

First we combat the 10 - 16 so we get - 6

Then we fight the -6 and the 2 to get -4

The value of this fight was -4 :)

Have an amazing day!!

PLEASE RATE AND MARK BRAINLIEST!!!

Answer:

D.)

Step-by-step explanation:

Answer and Explanation:

See attached image.

Answer:

1078

Step-by-step explanation:

The answer to A is Gabe, the answer to B is Mila and I don't have an answer to C, try inputting it into a calculator. Sorry.

A)

y = ax + b

b = 40 as the line starts at (0 ; 40)

then the line goes down => so a < 0

between the 1st point and the second, we go 2 units on the right and we go 1 unit down

so a = - 1/2 = - 0,5

finally  y = - 0,5x + 40

B)

y = ax + b

with

a = (-6 ; 0) / (0 ; -30) = 6/30 = 1/5

with the point ( 0 ; -6) we know that b = -6

finally y = 1/5x - 6

C)

we use the point (0 ; - 10)

so Amir is right as b will be - 10

Answer:

37.68 centimeters

Step-by-step explanation:

The circumference of a circle can be found by using the formula πd, where d = diameter. We're given the diameter as 12 centimeters, and we're going to use 3.14 for pi.

3.14 × 12

37.68

Therefore, the answer is 37.68 cm.

Have a lovely rest of your day/night, and good luck w/ your assignments! (‾◡◝)

Answer:

$21.25

Step-by-step explanation:

x - x(0.20) = 17

0.8x = 17

x = 21.25

Step-by-step explanation:

mother salary: x

father salary:2x

total salary =27000

therefore 3x=27000

so x=900 (divided by 3)

therefore mother salary = 900

father salary=2multiplied by 900=1800

Answer:

Father's monthly salary is P18,000

Mother's monthly salary is P9,000

Step-by-step explanation:

The problem above can be solved by using "algebraic expressions."

Let x be the father's monthly salary

Let y be mother's monthly salary

Formula: x + y = P27,000

If father's monthly salary is twice than what mother makes, then: x = 2y, which means,

2y (father's salary) + y (mother's salary) = P27,000

First step: 2y + y = P27,000

Second step: 3y = P27,000

Third step: y = [tex]\frac{P27,000}{3}[/tex]

Fourth step: y = P9,000

So, mother's salary is P9,000. This means we can get father's salary:

2y = 2 × P9,000 = P18,000 (this is the value of x)

So, father's salary is P18,000.

If we combine both of their salaries, the product is P27,000.

x + y = P27,000

P18,000 + P9,000 = P27,000

So, this explains the answer.

Answer:

2(L ×W) +2(L×H)+2(W×H)

Step-by-step explanation:

find the answer of that

Answer:

180 cm 2

Step-by-step explaination:

2 ( lxw) + 2(lxh) + 2(wxh)

40 + 40 + 100

180

9514 1404 393

Answer:

  2(x -2) = 5

Step-by-step explanation:

If x represents the number, then the difference of the number and 2 is ...

  x -2

Twice the difference is ...

  2(x -2)

"equals 5" means that product is equal to 5. The appropriate equation is ...

  2(x -2) = 5

_____

In case you want a solution ...

Dividing by 2, we get ...

  x -2 = 5/2

Adding 2 gives the value of the number:

  x = 2 +5/2 = 9/2

  x = 4 1/2

The number is 4 1/2.

Answer:

[tex]\frac{2\pi}{3}, \: \: \frac{5\pi}{3}[/tex]

Step-by-step explanation:

[tex] \tan \theta = - \sqrt{3} \\ \\ \implies \tan \theta = - \tan \frac{\pi}{3} \\ \\ \implies \: \tan \theta = \tan \bigg(\pi - \frac{\pi}{3} \bigg) \\ \\\implies \: \tan \theta = \tan \bigg(\frac{3\pi - \pi}{3} \bigg)\\ \\\implies \: \tan \theta = \tan \bigg(\frac{2\pi}{3} \bigg)\\ \\\implies \huge \red{\theta = \frac{2\pi}{3}} \\ \\ \\ \tan \theta = - \sqrt{3} \\ \\ \implies \tan \theta = - \tan \frac{\pi}{3} \\ \\ \implies \: \tan \theta = \tan \bigg(2\pi - \frac{\pi}{3} \bigg) \\ \\\implies \: \tan \theta = \tan \bigg(\frac{6\pi - \pi}{3} \bigg)\\ \\\implies \: \tan \theta = \tan \bigg(\frac{5\pi}{3} \bigg)\\ \\\implies \huge \orange{\theta = \frac{5\pi}{3}} \\ \\ \huge \: \purple { \boxed { \bold\theta = \frac{2\pi}{3}, \: \: \frac{5\pi}{3} }}[/tex]

Answer:

(x + 11y)(x - 4y)

Step-by-step explanation:

-44 = 11*(-4)

11 + (-4) = 7

so x² + 7xy - 44y² = (x + 11y)(x - 4y)

Answer:

 I answered the stupid question and you deleted it  

Step-by-step explanation:

Answer:

y=-2

x=-6

Step-by-step explanation:

Answer:

[tex]y=-\frac{7}{4}x^2+7x-3\\[/tex]

Step-by-step explanation:

y - 4 = C(x - 2)²

y-intercept = -3, so x = 0, y = -3

-3 - 4 = C(2)²

so C = -7/4

[tex]y = -\frac{7}{4}(x-2)^2+4=-\frac{7}{4}(x^2-4x+4)+4=-\frac{7}{4}x^2+7x-7+4\\y=-\frac{7}{4}x^2+7x-3\\[/tex]

Answer:

32%

Step-by-step explanation:

too lazy to type it out.

Answer:

32%.

Step-by-step explanation:

Value in 2019 = 800 + 10% of 800

= 800 + 0.1*800

=  $880.

In 2020 , value

=  880 + 0.2*880

=  $1056.

Increase in value over 2 years = 1056 - 800 = $256.

% increase = 100 * 256/800

= 32%.

[tex]x + 105 + 113 + 75 = 360[/tex]

[tex]x + 293 = 360[/tex]

[tex]x = 360 - 293[/tex]

[tex]x = 67[/tex]

As we know that, for any shape with sides n, the sum of all it's interior angles is (n - 2) × 180°, so as the Shape ABCD is a quadrilateral with 4 sides, so sum of it's all interior angles is just going to be (4 - 2) × 180° = 2 × 180° = 360°, so if we assume the missing angle be [tex]\bf \angle A[/tex], by using the sum property we will be having ;

[tex]{:\implies \quad \sf \angle A+105{\degree}+113{\degree}+75{\degree}=360{\degree}}[/tex]

[tex]{:\implies \quad \sf \angle A+293{\degree}=360{\degree}}[/tex]

[tex]{:\implies \quad \sf \angle A=360{\degree}-293{\degree}}[/tex]

[tex]{:\implies \quad \boxed{\bf{\angle A=67{\degree}}}}[/tex]

✨Answer:✨

-6 3/16

✨Step-by-step explanation:✨

-5 1/2 x -1 1/8 = ?

Convert mixed numbers into improper fractions

-11/2 x -9/8 = -99/16 = -6 3/16

Answer:

A)Mean :10.65

Median =10.7

Mode : 10.7

B)Range = 3.5

Standard deviation :0.89916

C)The response time of 8.3 minutes should be considered an outlier in comparison to the other response times

Step-by-step explanation:

A)

Data : 11.8 ,10.3, 10.7, 10.6, 11.5, 8.3, 10.5, 10.9, 10.7, 11.2

[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{11.8 +10.3+ 10.7+ 10.6+ 11.5+ 8.3+ 10.5+ 10.9+ 10.7+ 11.2}{10}[/tex]

Mean = 10.65

Median: The mid value of the data

Data in ascending order

8.3

10.3

10.5

10.6

10.7

10.7

10.9

11.2

11.5

11.8

n=10(even)

[tex]Median = \frac{(\frac{n}{2})\text{th term}+(\frac{n}{2}+1)\text{th term}}{2}\\Median = \frac{(\frac{10}{2})\text{th term}+(\frac{10}{2}+1)\text{th term}}{2}\\Median = \frac{10.7+10.7}{2}\\Median = 10.7[/tex]

Mode : the most occurring frequency

10.7 is occurring twice while others are occurring once

So, Mode is 10.7

B) Range = Maximum - Minimum=11.8-8.3=3.5

Standard deviation : [tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}[/tex]

Standard deviation :[tex]\sqrt{\frac{(11.8-10.65)^2+(10.3-10.65)^2+......+(10.9-10.65)^2+(10.7-10.65)^2+(11.2-10.65)^2}{10}}[/tex]

Standard deviation :0.89916

C)

8.3

,10.3

,10.5

,10.6

,10.7

,10.7

,10.9

,11.2

,11.5

,11.8

For Q1 ( Median of lower quartile )

8.3

,10.3

,10.5

,10.6

,10.7

[tex]Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=10.5[/tex]

For Q3( Median of Upper quartile )

10.7

,10.9

,11.2

,11.5

,11.8

[tex]Median = \frac{n+1}{2}\text{th term} =\frac{5+1}{2}=3 \text{rd term}=11.2[/tex]

IQR = Q3-Q1=11.2-10.5=0.7

Range :(Q1-1.5IQR, Q3-1.5IQR)

Range :[tex](10.5-1.5 \times 0.7, 11.2-1.5 \times 0.7)[/tex]

Range :(9.45, 10.15)

8.3 does not lie in this interval

So, the response time of 8.3 minutes should be considered an outlier in comparison to the other response times

Answer:

85

Step-by-step explanation:

Because 170 divided by 2.

The number of miles is 75 miles if the vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

A vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.

Let x be the total number of miles:

From the question:

y be the total cost of hiring

y = 20 + 2x

y = 170

170 = 20 + 2x

150 = 2x

x = 150/2

x = 75 miles

Thus, the number of miles is 75 miles if the vehicle hire firm charges $20 as a flat fee for renting a vehicle plus $2 per mile.

Learn more about the linear equation here:

brainly.com/question/11897796

#SPJ5

Answer:

14

Step-by-step explanation:

All you need to do is turn 70% into a decimal which is .70

Then multiply .70 and 20

.70*20

which gives you 14

The number is 14, which represents 70 percent of 20 is 14.

As we know that a percentage is normally calculated by dividing the component by the total and then multiplying by 100.

To find 70 percent of a number, we multiply the number by 70/100 or 0.7.

As per the question, we want to find 70 percent of 20.

So, we have:

70% × 20 = (70/100) × 20

To simplify the calculation, we can convert the percentage to a decimal by dividing 70 by 100, which gives us 0.7:

(70/100) × 20 = 0.7 × 20

Multiplying 0.7 by 20, we get:

0.7 × 20 = 14

Therefore, 70 percent of 20 is 14.

Learn more about percentages here:

brainly.com/question/24159063

#SPJ6