Write the equation of the line in fully simplified slope intercept form

Answer:

b = [tex]\sqrt{333}[/tex]

Step-by-step explanation:

1. We can use the Pythagorean Theorem to find the missing side, b.

2. (Solving)

Step 1: Simplify both sides of the equation.

Step 2: Subtract 196 from both sides.

Step 3: Take square root of both sides.

Step 4: Check if solution is correct.

Therefore, b = [tex]\sqrt{333}[/tex].

Answer:

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^2\\14^2 + b^2 = 23^2\\\\196 + b^2 = 529\\\\b^2 = 333\\b = 18.2482875909[/tex]

Answer:

D............... y= -1

Answer:

Option A. y= -x + 2

Step-by-step explanation:

RATE BRAINLIEST

we first have to find m which is the slope. The equation are parallel when they have the same slope

(2,-7) and (4,-9)

m = 4-2/ -9-(-7)

=2/-2

m = -1

Option A. y=-x + 2

Answer:

-25

Step-by-step explanation:

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The number of shelves that fit in the alcove is given by the height of each shelve and the height of the bookshelf above the ground

The number of bookshelves that fit into alcove, is 8 bookshelves

Reason:

Height of the alcove = 2.5 m

Height of the books = 210 mm = 0.21 m

The gap above each book = 30 mm = 0.03 m

The thickness of the shelves = 20 mm = 0.02 m

Width of the alcove = 1.2 m

Height of the bottom shelf above the ground = 300 mm = 0.3 m

Required:

The number of shelves that can be fitted into the alcove

Solution;

Let x, represent the number of shelves that can be fitted into the alcove

We have;

An initial height of the bookshelves above the ground = 0.3 m

Height of a shelve, H = Height of books + Gap above books + Thickness of shelves

Height above ground, including the bottom shelve = 0.3 m

Therefore, the maximum number of whole bookshelves that can be fitted into alcove, x ≈ 8 bookshelves

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Answer: 33

Step-by-step explanation:

Answer:

33 pages per hour

Step-by-step explanation:

1. To solve for how many pages Penny can read in one hour, we need to write a ratio of pages to hours.

2. Now, 1/3 goes into one, three times. This means that 11 goes into x, three times. We can write "11 goes into x, three times" as: [tex]\frac{x}{11} =3[/tex].

3. (Solving x/11 = 3)

Step 1: Multiply both sides by 11

Therefore, Penny read 33 pages per hour.

Answer:

66?

Step-by-step explanation:

180 degrees in a triangle, add 79 and 35 together = 114

180 - 114 = 66

Answer:

66°

Step-by-step explanation:

All angles in a triangle add up to 180° . Therefore you will need to add up 79° and 35° then subtract it from 180° in order to find the missing angle x.

Answer:

79 because x = 7 so 12 x7 - 5 =79

Answer:

y = 12/11x + 13

Step-by-step explanation:

Slope: (-23-37) / (-33-22) = -60/-55 = 12/11

b = 37 - (12/11)(22) = 13

Answer:

20) 7/16 = 0.4375

21) 1/6 = 1.6 repeating

22) 2 4/5 = 2.8

23) 98 2/3 = 98.6 repeating

24) 0.8 = 4/5

25) 26 1/5

26) 72.1 repeating = 72 1/9

27) 0.505 = 101/200

Explanation:

To convert fraction into decimal, divide the numerator by the denominator and that's your answer. For example:

7 ÷ 16 = 0.4375.

To convert a decimal into a fraction, place the number after the decimal point over the number place it's in. For example: If you look at 0.8 , 8 is in the tenths place, so you place it over 10 like this 8/10, and then you simplify. Half of 8 is 4 , and half of 10 is 5, so you'd have 4/5.

For #27, since 505 in 0.505 , is in the thousandths place, you'd put it over 1,000 like this 505/1000 and then you simplify. Look at image above to learn how to simplify 505/1000.⤴⤴⤴

Answer:

k=-10

Step-by-step explanation:

first subtract the 1 from both sides

so then you have k/5=-2

then multiply by 5 on both sides

which gives you k=-10

Answer:

Phương trình lượng giác là phương trình liên quan đến một hoặc nhiều tỉ số lượng giác của các góc chưa biết. Nó được biểu thị dưới dạng tỷ số của các góc sin (sin), cosin (cos), tiếp tuyến (tan), cotang (cot), secant (giây), cosecant (cosec). Ví dụ, cos2 x + 5 sin x = 0 là một phương trình lượng giác.

Step-by-step explanation:

Answer:

is y=−2x+14

Step-by-step explanation:

because yo.multipli

Answer:

y- y1 =m(x -x1)

comparing these; -y1= 4;y1 = -4

m= -2 ;x1 = 9

The slope is -2

Step-by-step explanation:

PLS MARK BRAINLIEST

Answer:

[tex]12 \div \frac{3}{4} = 12 \times \frac{4}{3} = 12 \times 4 \div 3 = 4 \times 4 = 16 \\ 16 \times 5 = 80 \: ft \: [/tex]

first you must know how many 3/4 do you have

because of scale

and after that multiply to 5 to get actual length

Answer:

x=25

Step-by-step explanation:

5x + 4 = 8x-71

-5x = -5x

4 = 3x-71

+71 = +71

75 = 3x

75/3 = 3x/3

25 = x

Answer:

(2,-5)

(-6,-7)

(-7,-4)

these are the coordinates after the transformation

Answer:

17-2x=-11 ---> 14

Step-by-step explanation:

plug in the "answers"

17-2(14)=-11

Answer:

90 grams of paint

Step-by-step explanation:

Easy, if you check this is a 3 x 3 x 2 cube which totals 18

So if each small cube is 5 grams

18 * 5 = 90

Answer:

Step-by-step explanation:

296 miles on 8 gallons of gas.

Find the miles on 1 gallon of gas:

Find the distance on 7 gallons of gas:

Given :

To find :-

Solution :-

According to Question ,

Using Unitary Method ,

Hence the required answer is 259 miles

Answer:

e = -2

Step-by-step explanation:

9e - 7 = 7e - 11

Subtract 7e from both side

2e - 7 = -11

Add 7 to both sides

2e = -4

Divide by 2 to isolate e

e = - 2

Answer:

e = -2

Step-by-step explanation:

9e - 7 = 7e -11

9e - 7e - 7 = -11

9e - 7e = -11 + 7

2e = -4

e = -2

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The units of the initial and final rates of speed are;

Initial rate of Speed = ft/hr

Final rate of speed = mi/min

5280 ft/1 mi and 1 hr/60 min

5280 ft mile is equivalent to 1 mile

This means that the initial distance unit used was ft while the final one was mile

Also, 1 hr/60 min denotes that;

1 hour is equivalent to 60 minutes.

This means that the initial time units used was hour while the final one was minute.

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Answer:

a) 3 : 4

b) 4 : 3

c) 7 : 3

d) 4 : 7

Step-by-step explanation:

(just a side note: you can write ratios in fraction form as well!)

To find the ratio between boys to girls, we would write it like this:

180/240 or  180 : 240 or  180 to 240

Although that is right, that isn't simplified.

Thus, we need to find a common factor that both the numerator and denominator share!

180 and 240 are both divisible by 60!

  180 ÷ 60 = 3

  240 ÷ 60 = 4

Therefore, you would get a simplified ratio of 3 : 4! For every 3 boys. there are 4 girls!

For part b, you simply switch the 4 and 3 around so you get 4 : 3. For every 4 girls, there are 3 boys.

Now part c involves the total amount of students...

Basically, add the number of boys and the number of girls together, and you would get 420.

    420 : 120 shows the amount of students there are to boys...but it is not in its simplest form!!

Like we did before, we have to find a common factor between the two...which is 60!

 420 ÷ 60 = 7

 120 ÷ 60 = 3

Thus, there are 7 students for every 3 boys (7 : 3)

Finally, part d! Simply the ratio:

   420 : 240

Divide both by 60 and...

You get 4 :7! For every 4 girls, there are 7 students

Hope this helps! Let me know if you have any other questions :D

Answer:

(a) 3:4

(b) 4:3

(c) 7:3

(d) 4:7

Step-by-step explanation:

(a) 3:4

180:240 = 3:4 (after simplification)

(b) 4:3

240:180 = 4:3 (after simplification)

(c) 7:3

Total number of students = 240 + 180 = 420

420:180 = 7:3 (after simplification)

(d) 4:7

Total number of students = 240 + 180 = 420

240: 420 = 4:7  (after simplification)

Answer:

f(0) = 8

Step-by-step explanation:

x = 0

11(0) + 8 =

0 + 8 =

8

Answer:

[tex]\large\boxed{\mathtt{f(0)=8}}[/tex]

Step-by-step Explanation:

[tex]\textsf{We are asked to simplify the function.}[/tex]

[tex]\textsf{We are given f(0). 0 is substituted inside as the x.}[/tex]

[tex]\textsf{Let's substitute 0 into x.}[/tex]

[tex]\large\underline{\textsf{Substitute;}}[/tex]

[tex]\mathtt{f(0)=11(0)+8}[/tex]

[tex]\large\underline{\textsf{Multiply;}}[/tex]

[tex]\mathtt{f(0)=8}[/tex]

[tex]\large\underline{\textsf{Note that;}}[/tex]

[tex]\textsf{When you are asked to simplify a function, they're mainly asking you to substitute.}[/tex]

[tex]\textsf{The Order of Operations (PEMDAS) \underline{still} applies here.}[/tex]

Answer:

$42.58

Step-by-step explanation:

You would multiply the price of the item (45.79) by the percentage as a decimal (0.07) and subtract the product.

in this case:

45.79x0.07 = 3.205 (rounded 3.21)

45.79-3.21 = 42.58

Here we need to plot x and y co-ordinates from the given table.

This is 2D co-ordinate geometry here we have an x axis and a y axis we use co-ordinate geometry to plot lines and curves according to the gives question.when the question consist of linear equations they form straight lines and when questions consists of quadratic and higher degree polynomials they form curves.

a. Here the the days are represented by x and remaing balance are represented by y.

So, when x = 0, y = 20 is co-ordinate form we can represent this as (0,20)

similarly the other co-ordinate points are (1,16), (2,12), (3,8), (4,4), (5,0).

b. x- and y- intercepts represnts the value of one variable corresponding to the other variable.

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Answer: if this is distribution it would be 3x-18

Step-by-step explanation:

This question has been answered in a secondary question post by the OP.

Answer:

Step-by-step explanation:

Answer:7

Step-by-step explanation:

I graduate from Harvard