2 and 8 are ____ because they are ____

To solve this problem, we need to know 2 relationships:

The distance of AC is the sum of AB and BC.

[tex]AC = AB + BC[/tex]

We know this since the distance of going from A to C (AC) is the same as going from A to B (AB), then B to C (BC).

The distance of AB is the same as AC.

[tex]AB = BC[/tex]

We know this since B is in the middle of AC, so the distance from B to A (BA) is the same as the distance from B to C (BC).

You can see the attached image (at the bottom) for a visualization of this.

Since we know the values of AB and BC...

[tex]AB = x+9\\BC = 3x-7[/tex]

...we can put these values into our 2nd equation and solve for x:

[tex]AB = BC\\x + 9 = 3x -7[/tex]

Add 7 to both sides:

[tex]x + 16 = 3x[/tex]

Subtract x from both sides:

[tex]16 = 2x[/tex]

Divide both sides by 2:

[tex]8 = x\\x = 8[/tex]

Knowing x, we can find the distance of AC using our first equation.

[tex]AC = AB + BC[/tex]

Let's put in the values of AB and BC:

[tex]AC = (x+9) + (3x-7)[/tex]

Before we put in x = 8, we can simplify this:

[tex]AC = (x+9) + (3x-7)\\AC = x + 9 + 3x -7\\AC = x + 3x + 9 -7\\AC = 4x + 9 - 7\\AC = 4x+2[/tex]

We group x and 3x and add those together. Then we subtract 7 from 9.

With this equation, we can put in x = 8:

[tex]AC = 4x +2\\AC = 4*8 + 2[/tex]

Since 4 * 8 = 32:

[tex]AC = 4 * 8 + 2\\AC = 32 + 2\\AC = 34[/tex]

Finally, we have found both x and AC.

x = 8

AC = 34

Answer:

I think 11

Step-by-step explanation:

11 goes in to 33 88 and 110 evenly

Answer:

11x

Step-by-step explanation:

Each term has 'x' so we know that we can factor out the 'x'. Then we are left with

x(33+88+110)

All three of the numbers inside the parenthesis are divisible by 11. So we will get

11x(3+8+10)

There are no more common factors so 11x is the GCF.

Answer:

f(9) = 8

Step-by-step explanation:

Step 1: Define

f(x) = x - 1

f(9) is x = 9

Step 2: Substitute and Evaluate

f(9) = 9 - 1

f(9) = 8

Answer:

110

Step-by-step explanation:

Answer:

we have to find the derivate of that function which is: -4.9*2t +21 and to find the maximum height this derivate should be equal to 0

-9.8t+21=0 so

t=21/9.8=2.14

Answer:

5008000000 doesnt equal 4^15

Answer:

3.4

Step-by-step explanation:

Answer:

e=\frac{4.1\sin 50}{\sin 111} \approx 3.364 \approx 3.4  e=  4.1sin50/sin 111 ≈3.364≈3.4

Step-by-step explanation:

deltamath

Answer: A. $5 × 25

Step-by-step explanation:

Given the following :

Number of cartons of specialty paper ordered = 24 cartons

Regular price for a carton = $6.88

Discount given off each carton = $1.75

Hence,

Discounted price per carton = $(6.88 - 1.75) = $5.13

Actual amount to be paid for the order :

Discounted price * number of cartons to be ordered

$5.13 * 24

Hence, a reasonable estimate will be :

$5.13 = $5( nearest whole number)

24 can be rounded to 25 (this covers for the $0.13 on the discounted cost per carton)

Reasonable estimate :

$5 × 25

Answer:

The answer is  A. $5 × 25

Step-by-step explanation:

Given that the total number of cartons is 24

the price per carton originally is $6.88

the discount is $1.75

hence the company will have to pay 6.88-1.75= $5.13

hence the price per carton upon removal of the discount is  $5.13

for all 24 cartons, the company will have to pay 24*5.13  

A reasonable estimate from the given option is  

A. $5 × 25

Answer:

As a proper fraction. (numerator smaller than denominator): 2/3 = 2/3

As a decimal number: 2/3 ≈ 0.67.

As a percentage: 2/3 ≈ 66.67%

That's all I can provide

The value of the expression (-64)^(2/3) can be simplified as 16.

Given an expression (-64)^(2/3).

We have to find the value of the expression.

We have the rules of exponents that,

aᵇⁿ = (aᵇ)ⁿ

Using this rule, the expression can be written as,

(-64)^(2/3) = (-64²)^(1/3)

                 = (4096)^(1/3)

Now,

(a)^(1/3) is equal to ∛a.

(-64)^(2/3) = ∛4096

                 = 16

Hence the correct option is B.

Learn more about Exponents here :

https://brainly.com/question/5497425

#SPJ6

Answer:

To convert from slope-intercept form y = MX + b to standard form Ax + By + C = 0, let m = A/B, collect all terms on the left side of the equation and multiply by the denominator B to get rid of the fraction.

Step-by-step explanation:

Make sure to edit so you don't get copy write.

And also could I have brainiest?

Answer:

8/9

Step-by-step explanation:

Answer:

m=slope

y= intercept

m=y2-y1 /x2-x1     -8  - 6= -14

                              4- -3 =   7

                                        -14/7 a 2 is your slope

y=2x=b

Now we find for X

choose a y from one of your points :  lets use 6 Plug 6 in for y s(-3,6)

y=2x+b

6=2(-3) +b

now solve for b

6= -6 + b  

now add 6 to both sides to get b alone

6+6 =6+-6 +b

12=b

now write you equation out  y=2x =12

Step-by-step explanation:  

hope that helps

Answer:

two lines, AB and CD, intersect at point E. find the values of x and y given that: the measure of angle AED equals (10x+9y), the measure of angle AEC equals (xy), and the measure Algebra -> Angles -> SOLUTION: two lines, AB and CD, intersect at point E. find the values of x and y given that: the measure of angle AED equals (10x+9y), the measure of angle AEC equals (xy), and the measure Log On

Step-by-step explanation:

Answer:

w + v

------- (a)

b

Step-by-step explanation:

Answer:

2:1

Step-by-step explanation:

$2 for 1 pound of meat purchased

Answer:I think 2 Because if you have 7 and You add another its 14 so 2

Step-by-step explanation:Also can you make be braniest poss if not its ok :)

Answer:

both are multiplication mark me brainiest

Answer: x = 6

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

Answer:  see proof below

Step-by-step explanation:

Note: The given equation cannot be proven. Instead I will prove:

[tex]\cot(2\alpha)=\dfrac{\cot^2\alpha-1}{2\cot \alpha}[/tex]

Use the Reciprocal Identity:  cot A = (cos A)/(sin A)

Use the following Double Angle Identities:

cos (2A) = cos² A - sin² A

sin (2A) = 2 sin A · cos A

Proof LHS → RHS:

LHS:                        cot (2A)

[tex]\text{Reciprocal:}\qquad \qquad \dfrac{\cos (2\alpha)}{\sin (2\alpha)}[/tex]

[tex]\text{Double Angle:}\qquad \quad \dfrac{\cos^2 \alpha-\sin^2 \alpha}{2\sin \alpha \cdot \cos \alpha}[/tex]

[tex]\text{Manipulate:}\qquad \quad \dfrac{\cos^2 \alpha-\sin^2 \alpha}{2\sin \alpha \cdot \cos \alpha}\bigg(\dfrac{\frac{1}{\sin^2 \alpha}}{\frac{1}{\sin^2 \alpha}}\bigg)[/tex]

                         [tex]=\dfrac{\frac{\cos^2 \alpha}{\sin^2 \alpha}-\frac{\sin^2 \alpha}{\sin^2 \alpha}}{\frac{2\sin \alpa \cdot \cos \alpha}{\sin \alpha \cdot \sin \alpha}}[/tex]

                         [tex]=\dfrac{\cot^2 \alpha-1}{2\cot \alpha}[/tex]

LHS = RHS [tex]\checkmark[/tex]

Answer:

see proof below

Step-by-step explanation:

cot(2a) = (cot^2a - 1)/2cota

Remember that cotangent is the inverse of tan...

cot = 1/tan => cot(2a) = 1/tan2a

Here I used the formula for tan2a, or in other words tan2a = 2tana/1 - tan^2a

Therefore the inverse of tan2a, 1/tan2a, should be the inverse of 2tanA/1 - tan^2a, or 1 - tan^2a/2tana => 1/tan2a = 1 - tan^2a/2tana = cot(2a)

The reverse is true as well, tan is the inverse of cotangent...tanA = 1/cotA

cot(2a) = 1 - tan^2a/2tana = 1 - (1/cot^2a)/2(1/cota)

= cot^2a - 1/cot^2a * cota/2

= cot^2a - 1/2cota

L.H.S = R.H.S, hence proved

Answer:

it should be B

mark me as the brainliest please

Answer:

c

Step-by-step explanation:

Answer:

12m

Rearange the equation to get c^2-b^2=a^2

That would be 13^2-5^2=144

Square root 144 to get 12

Answer:

36

Step-by-step explanation:

you just devide 18 by 6, which was three, then you multiply from there up to 9, which gives you 36 ( that probably made no sense, im bad at math )

Answer:

Math and writing

Step-by-step explanation:

Because Math is easier to understand for my brain. And writing I can write fiction stories which is awesome!

Answer:

You would have to cut off 100 centimeters

Step-by-step explanation:

Because 250 centimeters is 2.5 meters and 1.5 meters is 150 centimeters

Answer:

28 people

Step-by-step explanation:

Plug in 350 as c into the equation, since c is the total cost:

c = 5p + 210

350 = 5p + 210

Solve for p:

140 = 5p

28 = p

So, 28 people can attend

Answer:

the answer is 12

Step-by-step explanation:

you substitute the y with 12

Answer:

ME BIG TIME!!!!

Step-by-step explanation: