12. Explain why is (+5) + (-7) = -2.

Answer:

B

Step-by-step explanation:

The rules for reflecting across the x axis are just multiply the y value by -1

your answer is the second answer choice

For y axis refection, it is the same but for the x value, not the y .

Plot point F where angle alpha is located.

Triangle ABF has two interior angles x and 80. They add to the exterior angle alpha due to the remote interior angle theorem.

alpha = x+80

Answer:

see below

Step-by-step explanation:

1) (2/4w)⁴

The product of two over four and w, to the fourth power.

2) x/9

The quotient of x and 9.

3) 3/5 (3 - x)

The product of three over five and the difference of 3 and x.

Answer:

See below

Step-by-step explanation:

1) The quotient of 2 and four times w to the 4th power

2) The quotient of x and 9

3) The quotient of 3 and 5 multiplied with the difference of 3 and x.

Answer:

2/5 (because the chance winning the race is 3/5 and the remaining is 3/5 when we add 3/5 , 2/5 the answere is 5/5 when we subtract 3/5 from 5/5 the answere is 2/5

Answer:

27π inch^3

Step-by-step explanation:

we can subtract the trapezium (white part) formed after from the trapezium (including white and grey) to get area of striped part

area of trapezium is [tex]\frac H2(a+b)[/tex] where $a$ and $b$ are parallel sides.

for bigger trapezium, $h=4$ parallel sides are $5$ and $5$

hence area is $\frac{4(5+5)}{2}=20$

similarily area of white trapezium, $\frac{4(3+3)}{2}=12$

and area of striped part is $20-12=8$

Answer:

x+4

.....................

Answer

[tex] \boxed{x + 4}[/tex]

Option C is the correct option

Step by step explanation

Let's find the expression which represents the length of the box:

[tex] \mathsf{length \times width \times height \: of \: prism \: = \: volume \: of \: prism}[/tex]

[tex] \mathsf{lengh \times \: (x - 1) \times (x + 8) = {x}^{3} + 11 {x}^{2} + 20x - 32}[/tex]

[tex] \mathsf{length = \frac{ {x}^{3} + 11 {x}^{2} + 20x - 32 }{(x - 1)(x + 8)} }[/tex]

Write 11x² as a sum

[tex] \mathsf{ = \frac{ {x}^{3} - {x}^{2} + 12 {x}^{2} + 20x - 32 }{(x - 1)(x + 8)} }[/tex]

Write 20x as a sum

[tex] \mathsf{ = \frac{ {x}^{3} - {x}^{2} + 12 {x}^{2} - 12x + 32x - 32 }{(x - 1)(x + 8)}}[/tex]

Factor out x² from the expression

[tex] \mathsf{ = \frac{ {x}^{2}(x - 1) + 12 {x}^{2} - 12x + 32x - 32 }{(x - 1)(x + 8)} }[/tex]

Factor out 12 from the expression

[tex] \mathsf{ = \frac{ {x}^{2}(x - 1) + 12x(x - 1) + 32x - 32 }{(x - 1)(x + 8)} }[/tex]

Factor out 32 from the expression

[tex] \mathsf{ = \frac{ {x}^{2}(x - 1) + 12x(x - 1) + 32(x - 1) }{(x - 1)(x + 8)} }[/tex]

Factor out x+1 from the expression

[tex] \mathsf{ = \frac{(x - 1)( {x}^{2} + 12x + 32) }{(x - 1)(x + 8)} } [/tex]

Factor out 12x as a sum

[tex] \mathsf{ = \frac{(x - 1)( {x}^{2} + 8x + 4x + 32) }{(x - 1)(x + 8)} }[/tex]

Reduce the fraction with x-1

[tex] \mathsf{ = \frac{ {x}^{2} + 8x + 4x + 32 }{(x + 8)} }[/tex]

Factor out x from the expression

[tex] \mathsf{ = \frac{x(x + 8) + 4x + 32}{(x + 8)} }[/tex]

Factor out 4 from the expression

[tex] \mathsf{ = \frac{x(x + 8) + 4(x + 8)}{x + 8} }[/tex]

Factor out x+8 from the expression

[tex] \mathsf{ = \frac{(x + 8)(x + 4)}{x + 8} } [/tex]

Reduce the fraction with x+8

[tex] \mathsf{ = x + 4}[/tex]

hence, x+4 is the expression that represents the length of a box.

Hope I helped!

Best regards!

Answer:

15/4 x-y=-24

Step-by-step explanation:

the standard form is ax+by=c

two points (x1,x2) , (y2,y1)

x1=-8       x2=-6

y1=-4        y2=9

find slope m: y2-y1/x2-x1

m=9-(-6)/-4-(-8)

m=15/4

find b: take any point(-8,-6)

y=mx+b

-6=15/4 (-8)+b

-6=-30+b

b=-6+30

b=24

y=15/4 x+24

standard form: y-15/4x=24

OR : 15/4 x-y=-24

Answer:

Explained below.

Step-by-step explanation:

The question is:

Please answer me these questions or one: v please. My math class room is 700 m2, how much is 1/4 of the room? How long is 3/4 of the room? . How many minutes is 3/5 of a half hour? . It takes 4/7 of a liter of paint to paint a square meter of wall, if we want to paint 2/5 of a square meter of wall, how much paint will we need? . If it takes 2/5 of an orange to make a glass of orange juice, how many oranges do you need to make 2 and a half glasses?

(1)

Compute 1/4th of the math class room as follows:

[tex]=700\times\frac{1}{4}\\=175[/tex]

Thus, 1/4th of the math class room is 175 m².

(2)

Compute 3/4th of the math class room as follows:

[tex]=700\times\frac{3}{4}\\=525[/tex]

Thus, 3/4th of the math class room is 525 m².

(3)

Compute 3/5th of half an hour as follows:

[tex]=30\times \frac{3}[5}\\=18[/tex]

Thus, 3/5th of half an hour is 18 minutes.

(4)

A square meter of wall required 4/7 liter of paint.

Then 2/5 of a square meter will require,

[tex]=\frac{4}{7}\times \frac{2}{5}\\\\=\frac{8}{35}[/tex]

Thus, 8/35 liter of paint will be used to pain /5 of a square meter of the wall.

(5)

1 glass of orange juice can be made using 2/5 of an orange.

Then 2 and half glass will require,

[tex]=\frac{2}{5}\times 2\frac{1}{2}\\\\=\frac{2}{5}\times \frac{5}{2}\\\\=1[/tex]

Thus, 1 orange will be required to make 2 and half glass of orange juice.

9.8 percent. All you have to do is subtract 2.30 from 2.55 and then divide that answer by 2.55 and then multiply that by 100

Answer:

9.8%

Step-by-step explanation:

Step 1: Find the change in price

2.55 - 2.30 = $0.25

Step 2: Divide change with original price

0.25 / 2.55 = 0.098....%

Step 3: Multiple by 100 to get percent

0.098 x 100 = 9.8%

Answer:

Quadrilateral

Step-by-step explanation:

Answer:

If the order doesn't matter then we have a combination, if the order do matter then we have a permutation. One could say that a permutation is an ordered combination. The number of permutations of n objects taken r at a time is determined by the following formula: P(n,r)=n!

Step-by-step explanation:

To calculate the probability of a combination, you will need to consider the number of favorable outcomes over the number of total outcomes. Combinations are used to calculate events where order does not matter. In this lesson, we will explore the connection between these two essential topics.

Answer:

combination : If the order of numbers  or  operations does not matter

Permutation : when the order of numbers matter ( common example most teachers use : a code of 4 numbers has to be in a certain order and the numbers are from 0 to 9 , how many permutation can you make if you use the number one time)

P=n!/(n-r)!

n! ( are number from 0-9 we have 10 numbers)

r is the number of digits in the code = 4

n!=10*9*8*7*6*5*4*2*1

(n-r)!=(10-4)!=6!=6*5*4*3*2*1

P=5040 ways ( if the order matter)

If the order does not matter

Combination C(n,r)=n!/(n-r)!r!

C(10,4)=(10*9*8*7*6*5*4*2*1)/[(6*5*4*3*2*1)(4*3*2*1)]

what should we do??? the question isn't there!

Answer:

130

Step-by-step explanation:

Probability of green:

Number of attempts:  

Expected number of landing on green:

Answer: 130 times

Answer:

B. 17

Step-by-step explanation:

By the property of intersecting secants outside of a circle, we have:

7 (7 + x) = 8 (13 + 8)

49 +7x = 8*21

7x = 168 - 49

7x = 119

x = 119/7

x = 17

Answer:

7 and 1

Step-by-step explanation:

Let the numbers be a and b.

A positive number is 7 times another number:

If 3 is added to both the numbers then one of the new number becomes 5 by 2 times the other new number:

To solve this we substitute a with 7b in the second equation:

Then, finding a:

So the numbers are 7 and 1

Answer:

The volume of the cylinder is 163.3 m³.

Step-by-step explanation:

Given that,

Height = 13 cm

Base = 4 cm

So, radius = 2 cm

We need to calculate the volume of the cylinder

Using formula of cylinder

[tex]V=\pi r^2h[/tex]

Where, r = radius

h = height

Put the value into the formula

[tex]V=\pi\times(2)^2\times13[/tex]

[tex]V=163.3\ cm^3[/tex]

Hence, The volume of the cylinder is 163.3 cm³.

Answer:

He cut 6 slices

3/4 (leftover bread) equals to six eights (6/8)

Answer:

100, 101, 102, 103, 104

Step-by-step explanation:

Basically, if the units (or ones, it's the same thing) digit of the first number is 0, the units digit of the second number should be 1, then 2, and so on. Therefore, one possible list of numbers is as follows: 100, 101, 102, 103, 104.

Answer:

[tex]\boxed{factor}[/tex]

Step-by-step explanation:

Hey there!

3x * x = 3x^2

3x * 2x = 6x^3

So 3x is a factor of 3x^2 - 6x^3.

Hope this helps :)

No they are not the same.

We can plug in x = 0 to get

11-2x = 11-2(0) = 11-0 = 11

2x-11 = 2(0)-11 = 0-11 = -11

We get the results 11 and -11 for the expressions 11-2x and 2x-11 respectively. Since we got different outputs, this is enough to show that the expressions are not the same. They would need to produce the same outputs for any given x value.

On a graph, y = 11-2x and y = 2x-11 are two different lines to show they are not the same expression.

note: if you plug in x = 11/2 = 5.5, then both outputs are the same; otherwise, you'll get different outputs.

Answer:

Hello! I hope I am correct! (Picture below)

Step-by-step explanation:

Function:

Y=15-2x

The word “decreased” means subtraction & The word “twice” means 2x (2 times)

Therefore, the answer is 15-2x.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Look at picture.

Brainliest would be appreciated!

Hope this helps!

By: BrainlyAnime

Answer:

D

Step-by-step explanation:

-4xy

will be your answer after factoring

Answer:

d

Step-by-step explanation:

Given

(x - y)² - (x + y)² ← expand both factors using FOIL

= x² - 2xy + y² - (x² + 2xy + y²) ← distribute by - 1

= x² - 2xy + y² - x² - 2xy - y² ← collect like terms

= - 4xy → d

522km / 36= 14.5km PER litre

14.5 x 14= 203

Answer:

Step-by-step explanation:

a=3400t+600, we put in 21,000 for a. Because we have to find 't' when 'a' is 21,000.

which will give us  21,000 = 3400t+600.

Then,Subtract 600 to both sides to get 20,400 = 3400t

Divide both sides by 3,400 and you get 6 = t.

The ans is 6 minutes. The plane will take 6 min to reach the altitude 21,000 feet

Answer:

(2x-3)(x+1)

Step-by-step explanation:

2x²-x-3

(2x-3)(x+1)

Step-by-step explanation:

jdyxgxismsm? Juebzbijbs sbj? {![%°%=%℅%ש™${$[$¢

Answer:  A

Step-by-step explanation:

Notes: Dividing by a fraction means to multiply by its reciprocal.

           The denominator cannot equal zero.

[tex]\dfrac{5a^3bc}{8ab^3}\div\dfrac{-ab^2}{6a^5b}\cdot \dfrac{2a^2b^3}{3b}\qquad \rightarrow a\neq 0,b\neq 0\\\\\\=\dfrac{5a^3bc}{8ab^3}\cdot\dfrac{6a^5b}{-ab^2}\cdot \dfrac{2a^2b^3}{3b}\\\\\\=\dfrac{5\cdot 6\cdot 2\quad a^3\cdot a^5\cdot a^2\quad b\cdot b\cdot b^3\quad c}{8\cdot -1 \cdot 3\quad a\cdot a\qquad b^3\cdot b^2\cdot b \quad}\\\\\\=\dfrac{-60a^{10}b^5c}{-24a^2b^6}\\\\\\=\dfrac{-5a^8c}{2b}[/tex]

Answer:

[tex]5 \frac{1}{9}[/tex]

[tex]6 \frac{2}{5}[/tex]

Step-by-step explanation:

We can convert these improper fractions into mixed numbers by seeing how many times the denominator goes into the numerator.

In [tex]\frac{46}{9}[/tex], 9 goes into 46 5 times, with a remainder of 1. So:

[tex]5 \frac{1}{9}[/tex].

In [tex]\frac{32}{5}[/tex], 5 goes into 32 6 times with a remainder of 2, so:

[tex]6 \frac{2}{5}[/tex].

Hope this helped!

Answer:

5 1/9 and 6 2/5

Step-by-step explanation:

The simplest way to convert improper fractions into mixed fractions is by long division (see attached).