Please Help Me! "Given ABC ~ ADE with AB = 2 Centimeters, and DE= 10 Centimeters" Whats the length of BC?

A. 6 2/3 centimeters

B. 5 Centimeters

C. 4 Centimeters

D. 6 Centimeters

1.  -4, -2, 0, 2... is an arithmetic sequences with a common difference of 2.

2.1/2, 5/8, 3/4, 13/16... is not an arithmetic sequences.

An arithmetic sequence is a list of numbers with a definite pattern. If you take any number in the sequence then subtract it by the previous one, and the result is always the same or constant then it is an arithmetic sequence.

The constant difference in all pairs of consecutive or successive numbers in a sequence is called the common difference, denoted by the letter d.

We use the common difference to go from one term to another.

Take the current term and add the common difference to get to the next term, and so on. That is how the terms in the sequence are generated.

The given sequence can only be an arithmetic sequences if they have same common difference

1.

2-0 = 2

0 - (-2) = 2

-2 -(-4) = 2

Thus, the given sequence is an arithmetic sequences with a common difference of 2.

2.

13/16-3/4 = 1/16

3/4 -5/8  = 1/8

5/8 - 1/2 = 1/8

Thus, the given sequence is not an arithmetic sequences.

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Complete question:

Arithmetic Sequences as Linear Functions.

Determine whether each sequence is an arithmetic sequence. Write yes or no.

1. -4, -2, 0, 2, ...

2. 1/2, 5/8, 3/4, 13/16 ...

Answer:

\(\boxed{\textsf{ The slope of the line is $\bf{\dfrac{3}{2}}$.}}\)

Step-by-step explanation:

Two points are given to us and we need to find the slope of the line that passes through these two points . The two points are (3,-2) and (9,-2) .As we know that the slope of the line is given by \(\tan\theta\)

Slope of a line is :-

\(\qquad\boxed{\boxed{ \sf Slope =\dfrac{ y_2-y_1}{x_2-x_1}=\tan\theta }}\)

On using this formula we can find the slope of the line .

Putting the respective values :-

\(\sf\implies Slope = \dfrac{y_2-y_1}{x_2-x_1}\\\\\sf\implies Slope = \dfrac{ 9-3}{2+2} \\\\\sf\implies Slope =\dfrac{6}{4}\\\\\sf\implies\boxed{\pink{\sf Slope = \dfrac{3}{2} }}\)

Answer:

Its zero -w-

Step-by-step explanation:

The inequality represents all possible values for the clerk's sales, s, on Monday is 0.1s + 125 < 180.

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

A clerk earns $125 per day, plus a commission equal to 10% of her sales, s. The clerk earns less than $180 on Monday.

The total commission on her sales s = 10% x s

                                                           = 0.1s

The total money earn on monday = 0.1s + 125

The inequality represents all possible values for the clerk's sales, s, on Monday.

The clerk earns less than $180 on Monday.

0.1s + 125 < 180

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An obtuse triangle is not equilateral

When the sphere crosses the equally spaced rubber bands, a sound is produced that differs in pitch depending on the distance between the rubber bands. The pitch of the sound produced becomes higher as the distance between the rubber bands decreases.

The sound produced is due to the sphere's kinetic energy, which is transferred to the rubber bands when it strikes them. The rubber bands vibrate as a result of this, and the vibrations are transferred to the air around them, resulting in sound waves. The sounds produced as the sphere crosses the equally spaced rubber bands in procedure step 4 were observed to be high-pitched.

These high-pitched sounds became even higher as the distance between the rubber bands decreased. The vibrations produced by the sphere as it strikes the rubber bands can be felt in the hand holding the tube.

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The prime factorization of the number 21 is:

21 = 3*7

We want to write the prime factorization of 21.

To do so, we just need to divide the number by prime numbers.

The first prime number we can try is 2, if we divide by 2 we get:

21/2 = 10.5

This is not an integer, so 2 is not a factor.

The next one is 3:

21/3 = 7

Now we can rewrite:

21 = 3*7

Where 3 and 7 are prime numbers, so that is the prime factorization.

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Answer:

(3, 6)

(13.5, 27)

(8, 16)

rule: 2|x|

Step-by-step explanation:

by the looks of this table, -2 and 2 having y = 4 makes this an absolute value function

The function equation would be: y = 2|x| where the parent function is compressed by 2

if x = 3, than y = 6 which you can find this by 3 x 2

if y = 27, than x = 13.5 which you can find this by 27 / 2

if x = 8, than y = 16 which you can find this by 8 x 2

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Answer:

a burger

Step-by-step explanation:

because the cow is made into a burger lol

8,944 hope this helps

About 40250 medium sized pizzas are equivalent to world's largest pizza.

Scaling factor is used to represent how many times of one quantity is equal to another. Mathematically, if x is three times y, this can be written as-

x = 3y

where 3 is the scaling factor.

Given is weight of world's largest pizza and is equal to 26833 pounds and 3 medium pizzas weigh about 2 pounds with toppings.

Now -

3 medium pizzas → 2 pounds

1 medium pizza → (2/3) pounds

Suppose that the weight of world's largest pizza is K times than that of 1 medium pizza. Then we can write -

26833 = 2K/3

K = (26833 x 3)/2

K = 40249.5 = 40250

Therefore, about 40250 medium sized pizzas are equivalent to world's largest pizza.

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Not factorable

given

Step 1

given

use the quadratic formuña

it says

so

If Δ=0 then ax2+bx+c is a perfect square trinomial, expressible as

(√ax+√c)2 or as (√ax−√c)2 .

If Δ<0 then ax2+bx+c has two distinct Complex zeros and is not factorable over the reals. It is factorable if you allow Complex coefficients

then, as

the expression has two distinct Real zeros and is factorable over the Reals

so,

the expression has real solution ,so

Not factorable

I hope this helps you

Answer:

i think its D because fun isn't 25%. food is 25% and fun is smaller than food

Answer:

B

The blue plus the yellow makes the half mark all the way across the circle. Just for example the red, green, and purple make the other half.

Hope that helps!! Have a good day!! :)

If ∠1 and ∠2 are vertical angles, that means they are opposite angles formed by two intersecting lines. Since they are opposite, their measures must be equal. If m∠1 = 108°, then m∠2 = 108°.

If ∠A and ∠B are complementary angles, that means their measures add up to 90°. If m∠B = 68°, then m∠A = 90° - 68° = 22°.

For the first question, if ∠1 and ∠2 are vertical angles, this means that they are opposite angles and are equal in measure. So, if m∠1 = 108°, then m∠2 = 108° as well.

For the second question, if ∠A and ∠B are complementary angles, this means that their measures add up to 90°. So, if m∠B = 68°, then m∠A = 90° - 68° = 22°.

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Answer: Sam wrote 99 digits

Step-by-step explanation: Take the highest number minus the lowest number and that his how many numbers are between 12 and 111.

Answer:

y = (5/4)x + 3/4

Step-by-step explanation:

You are given 5x - 4y = -3 and are asked to rewrite it in slope-intercept form y = mx + b.

Start by subtracting 5x from both sides.  This leaves you with -4y on the left and -3 - 5x on the right:  -4y = -3 - 5x.

Next, divide both sides by -4 to isolate y:

       -3 - 5x

y = --------------      This can be rewritten as y = (5/4)x + 3/4 (in y = mx + b form).

           -4

Answer:

18 3/4

Step-by-step explanation:

Solve {(32)-3/4)3/4}4/5

Expand the inner parenthesis

{(32)-3/4)3/4}4/5

= {3/4(32) - (3/4)(3/4)}*4/5

= {3(8)- 9/16} * 4/5

= {24 - 9/16}* 4/5

= 4/5(24) - 4/5(9/16)

= 96/5 - 36/80

= 96/5 - 9/20

Fine the LCM

= 96(4)-9/20

= (384-9)/20

= 375/20

= 18 15/20

= 18 3/4

Hence the required result is 18 3/4

(a) The linear density (mass/length) rho has SI units of kg/m. Since rho = a + bx, the SI units of a must be kg/m and the SI units of b must be kg/m^2.
(b) To find the mass of the rod, we need to integrate the linear density function over the length of the rod:
m = ∫₀ᴸ ρ(x) dx
Substituting in ρ(x) = a + bx:
m = ∫₀ᴸ (a + bx) dx
m = [ax + (1/2)bx²] from 0 to L
m = aL + (1/2)bL²
Therefore, the mass of the rod in terms of a, b, and L is m = aL + (1/2)bL².

(a) In this problem, rho (ρ) represents linear density, which has units of mass per length. In SI units, mass is measured in kilograms (kg) and length in meters (m). Therefore, the units of linear density are kg/m. Since ρ = a + bx, the units of a and b must be consistent with this equation. The units of a are the same as those of ρ, so a has units of kg/m. For b, since it is multiplied by x (which has units of meters), b must have units of kg/m² to maintain consistency in the equation.

(b) To find the mass of the rod, we need to integrate the linear density function over the length of the rod (from x=0 to x=L). Let's set up the integral:

Mass (M) = ∫(a + bx) dx, with limits from 0 to L

Now, we can integrate:

M = [a * x + (b/2) * x²] evaluated from 0 to L

Substitute the limits:

M = a * L + (b/2) * L²

So, the mass of the rod in terms of a, b, and L is:

M = aL + (bL²)/2

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Answer:

15 drops of blue to 10 drops of white paint.

Step-by-step explanation:

multiply 3 by 5 to get 15

multiply 2 by 5 to get 10

so 10 drops of white paint.

Answer:

the zeroes are -2 and 8

Step-by-step explanation:

\(-x^2 +6x+16\\\implies -(x^2-6x-16)\\\implies -(x+2)(x-8)\)

Therefore, the zeroes are -2 and 8

The measure of side c if a is 5 cm and b is 9 cm in a right triangle is √106 cms.

The Pythagorean theorem, sometimes known as Pythagoras' theorem, is a basic relationship between the three sides of a right triangle in Euclidean geometry. The size of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides, according to this rule.

The measure of side c if a is 5 cm and b is 9 cm in a right triangle will be,

c² = 5² + 9²

c = √106 cms

Hence, the measure of side c if a is 5 cm and b is 9 cm in a right triangle is √106 cms.

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Answer:

(10×4×5)+(5×5×5) cubic inches

Because,Volume is measured in cubic inches and volume of a rectangular pyramid is L×B×H so, we add both bottom and upper volume. Thus, this expression gives the perfect volume of this figure.

Answer:

14 6/11

Step-by-step explanation:

We can write the question as a a polynomial as it follows:

The values that makethis expression true are the zero of the following polynomial:

We can use Bhaskara to find the values:

Where:

Substituting the values, we find:

Before solving, we can see that there will realy have two real numbers for n. So the answer is the third optio: Two.

We can go ahead and find the values:

P(A or B) = P(A) + P(B) - P(A and B) is the chance that either Event A or Event B will occur.

P(A∩ B) denotes the likelihood of A and B occurring together, or the likelihood of A intersecting B, i.e., the possibility of two events occurring concurrently. Depending on whether the supplied events are dependent or independent, various formulas are available.

Give the equation for calculating the likelihood that events A and B will occur when A and B are dependent events. The equation P(A and B) = P(A) P(B|A) yields the likelihood that A and B will occur.

If Events A and B are Independent, then P(A or B) = P(A) + P(B) - P(A and B) is the chance that either Event A or Event B will occur.

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Answer:

8/12, 6/19 and 9/10!

Step-by-step explanation:

All of them cannot be simplified.

but the rest can like  

4/26 can be simplified by 2

and 10.22 can be simplified by 2

Answer:

Angles F and H are congruent.

Step-by-step explanation:

Answer:

Angles F and H are congruent.

Step-by-step explanation:

Answer:

-20x^2-4x

In mathematics, a polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. An example of a polynomial of a single indeterminate x is x² − 4x + 7.

Answer:

3.5hour

Step-by-step explanation:

Average speed = Distance/Time

Given

Distance = 52 1/2 km

Speed = 15km/hr

Required

Time

Substitute the given values in the formula

Time = (52 1/2)/15

Time= 105/2 * 1/15

Time = 105/30

Time  = 3.5hour

hence it will take 3.5hr to travel a distance of 52 1/2km

Therefore, ∂z/∂x = (-yze^xyz - y + 2xyz) / (xye^xyz - 1) and ∂z/∂y = (-xze^xyz - x + 2xyz) / (xye^xyz - 1)

a) Find dy/dx for the equation √xy = cos(xy)

Using Implicit Function Theorem to find dy/dx as follows:

Let f(x, y) = √xy - cos(xy) be an equation.

Since f(x, y) = 0, we have to find dy/dx.

∂f/∂x = ∂/∂x(√xy - cos(xy))

= (1/2)*1/√xy - y*sin(xy) and

∂f/∂y = ∂/∂y(√xy - cos(xy))

= (1/2)*1/√xy - x*sin(xy)

We now express dy/dx as follows:

dy/dx = -∂f/∂x / ∂f/∂y

Therefore,dy/dx = (y*sin(xy)) / (x*sin(xy))

=-y/x

Find both partial derivatives ∂z/∂x and ∂z/∂y for the equation e^xyz + xy = xyz²

Using the Implicit Function Theorem, we have to find the partial derivatives ∂z/∂x and ∂z/∂y.

Therefore, we let f(x, y, z) = e^xyz + xy - xyz² be an equation.

Let g(x, y) = e^xyz + xy - xyz² - z and g(x, y, z) = 0 (this is just re-writing the equation).

∂g/∂x = ∂/∂x(e^xyz + xy - xyz² - z)

= yze^xyz + y - 2xyz∂g/∂y

= ∂/∂y(e^xyz + xy - xyz² - z)

= xze^xyz + x - 2xyz∂g/∂z

= ∂/∂z(e^xyz + xy - xyz² - z)

= xye^xyz - 1

By Implicit Function Theorem, we can find both partial derivatives ∂z/∂x and ∂z/∂y.

We now find ∂z/∂x and ∂z/∂y:

∂z/∂x = - (∂g/∂x / ∂g/∂z)

= (-yze^xyz - y + 2xyz) / (xye^xyz - 1) and

∂z/∂y = - (∂g/∂y / ∂g/∂z)

= (-xze^xyz - x + 2xyz) / (xye^xyz - 1)

Hence, the solution is ∂z/∂x = (-yze^xyz - y + 2xyz) / (xye^xyz - 1) and ∂z/∂y = (-xze^xyz - x + 2xyz) / (xye^xyz - 1)

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Answer:

x = 12.5

Step-by-step explanation:

Because it is a straight line, the total angle is 180

you already know that one angle is 130 so take 180 - 130 and you get 50

now you know 4x = 50

divide by 4 from both sides

x = 12.5

The perimeter of square ABCD is 28 units.

The perimeter of a square is the sum of all its sides. In this case, we need to find the perimeter of square ABCD.

The question provides two possible answers: 28 units and 37 units. However, we can only choose one correct answer. To determine the correct answer, let's think step by step.

A square has all four sides equal in length. Therefore, if we know the length of one side, we can find the perimeter.

If the perimeter of the square is 28 units, that would mean each side is 28/4 = 7 units long. However, if the perimeter is 37 units, that would mean each side is 37/4 = 9.25 units long.

Since a side length of 9.25 units is not a whole number, it is unlikely to be the correct answer. Hence, the perimeter of square ABCD is most likely 28 units.

In conclusion, the perimeter of square ABCD is 28 units.

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