A cube has a volume of 64 m3
What are its height, width and length?

9514 1404 393

Answer:

  A'(-4, -2), B'(4, -7), C'(5, -1)

Step-by-step explanation:

Reflection in the x-axis changes the sign of each y-coordinate.

  (x, y) ⇒ (x, -y)

  A(-4, 2) ⇒ A'(-4, -2)

  B(4, 7) ⇒ B'(4, -7)

  C(5, 1) ⇒ C'(5, -1)

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

Explanation:

There are a few approaches. Here's one way to solve.

Let d be the common difference between the terms.

We add d to each term of this arithmetic sequence to get the next term.

Focusing on the second equation, we can solve for d like so

m+d = 12

d = 12-m

This is then plugged into the third equation

n = m+2d

n = m+2(12-m)

n = m+24-2m

n = 24-m

Therefore,

m+n = m+(24-m) = 24

It turns out that it doesn't matter what m and n are because m+n is always equal to 24 in this case.

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A more concrete example:

Let's say m = 2. We won't set up n just yet but we'll be able to compute it fairly soon.

Since m = 2, this means d = 12-m = 12-2 = 10. This is the gap between adjacent or neighboring terms.

If d = 10, then the third term must be n = 12+d = 12+10 = 22

We can then see that m+n = 2+22 = 24

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

I'll do another example:

m = 5

d = 12-m = 12-5 = 7

n = 12+d = 7 = 19

m+n = 5+19 = 24

Whenever in doubt, or if you get stuck, it helps to come up with actual numeric values to hopefully clear things up.

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

An alternative way to get the answer:

Let's try to determine what m+n is actually saying. We have 12 right in the middle of the first term (m) and third term (n). Because the gap between the numbers is the same (that being d), we know that 12 is the midpoint of m and n. It might help to draw out a number line to see what's going on.

The midpoint of m and n is (m+n)/2

Set this equal to 12 and isolate the "m+n"

(firstTerm+thirdTerm)/2 = second term

(m+n)/2 = 12

m+n = 2*12

m+n = 24

So in general, if the first three terms of the arithmetic sequence are m, k, n, then m+n = 2k.

Answer:

-9

Step-by-step explanation:

-7x+10x^3-9x^5+3x^2+3

We need to write the terms from highest power to smallest power

-9x^5+10x^3+3x^2-7x+3

The leading coefficient is the number in front of the highest power

-9

Answer:

D

Step-by-step explanation:

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers

12 = 2x + 4y , that is

2x + 4y = 12 ← is in standard form

Answer:

Step-by-step explanation:

Okay! so first, let's specify the components of a slope intercept form equation.

We got y=mx+b as a general formula, where m is slope and b is the y intercept.

The graph gives us two points on the line at (0, 5) and (-6, 7)

To find slope, we can use this slope equation. I suggest you memorize it-it helps a lot with future problems!

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]

Plugging in the points into the equation, we get 2/-6, or -1/3

we really don't need to do much work anymore, since the choices are given. There is only one choice left with -1/3 as slope m, which is D.

The y intercept can be found at wherever the line intersects the y axis. In this line, it crosses 5, which means b=5.

y=mx+b

y=-1/3x+5

Answer:

An annual increase of 1000 means that the number by which the population increases is constant, which means that the population cannot be modeled with an exponential growth function, it is modeled by a linear growth function.

Step-by-step explanation:

Linear growth:

The number by which it increases is constant.

Exponential growth:

The rate which it increases is constant, that is, a proportion of population.

Annual increase of 1,000.

An annual increase of 1000 means that the number by which the population increases is constant, which means that the population cannot be modeled with an exponential growth function, it is modeled by a linear growth function.

Answer:

d = 72

Step-by-step explanation:

1/3 d + 4 = 28

Subtract 4 from each side

1/3d +4-4 = 28-4

1/3d = 24

Multiply each side by 3

3 * 1/3d = 3 * 24

d = 72

x + ( x + 1 ) + ( x + 2 ) = -42

Opening the brackets and simplifying :

x + x + 1 + x + 2 = -42

3x + 3 = -42

Now , solving equation :

[tex]\bf \rightarrow \: \:3x \: + \: 3 \: = \: -42[/tex]

[tex]\bf \rightarrow \: \: 3x \: = \: -42 \: - 3[/tex]

[tex]\bf \rightarrow \:3x \: = \: -45 \: [/tex]

[tex]\bf \rightarrow \:x \: = \: \frac{ - 45}{ \: 3} \\ [/tex]

[tex]\bf \rightarrow \:x \: = \: \cancel\frac{ - 45}{ \: 3} \: \: ^{ - 15} \\ [/tex]

[tex]\bf \rightarrow \:x \: = \: - 15[/tex]

[tex]{\boxed{ \Large{ \red{ \rm{ \underline{ Now \: \: substitute}}}}}}[/tex]

[tex]\bf \implies \: \:x \: = \: - 15[/tex]

[tex]\bf \implies \: \:x \: + \: 1 \: = \: - 15 \: + \: 1 \: = \: - 14[/tex]

[tex]\bf \implies \: \:x \: + \:2 \: = \: - 15 \: + \: 2 \: = \: - 13[/tex]

-15 , -14 and -13 are the three consecutive integers.

Answer:

x = -1

Step-by-step explanation:

Let the mystery number be x

Equation:

60 - 4x = 8x + 72

Subtract 60 from both sides

-4x = 8x + 12

Subtract 8x from both sides

-12x = 12

x = -1

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

"The sum of two numbers is 17" <- that's our first equation. Sum means we're going to add. "two numbers" - well, we don't know what they are, so we can use x and y. (Note: x and y are just placeholders. You can use ANY placeholder as long as you keep it consistent with the second equations. x and y just mean "some number". We're going to work to find those numbers)

So for our first equation, we have two numbers being added together. So we can just write that as:

x+ y = 17

For the second equation:

"Three times one number increased by 5 is the same as twice the other number decreased by 4"

We have to work to process what is being asked. “Three times one number increased by 5”. So we know we are multiplying 3 to one of our numbers and increasing it (adding it) by 5.

So this part can be written as 3x+5

“Is the same as” just means “equal to” 

“Twice the other number decreased by 4”. So twice, means two times and “decreased by four” just tells us to subtract four.  So this part can be written as:

2y-4

Now we need to put this second equation together.

3x+5=2y-4.

So now we have our two equations:

x+y = 17

3x+5 = 2y-4

We have a few ways of solving this. We can use substitution, elimination, or graphing. I’m going to use substitution for this one.

So for substitution, we need to take one of two equations and solve for a single variable. So I’m going to take our first equation and solve for y.

x+y=17

-x.   -x

y= -x+17

Now I’m going to put “-x+17” in for the “y” in the second equations.

3x+5=2y-4

3x+5 = 2 (-x+17) - 4.  (Now distribute)

3x+5 = -2x + 34 - 4. (Now simplify)

3x+5 = - 2x + 30. (Now we need to get the x to one side)

+2x +2x

5x+5=30

 -5.  -5

5x = 25

X = 5

Now we can take the first equation and put 5 in for x to solve for y

x+y = 17

5 + y = 17

-5    -5

y= -12

So our x is 5 and our y is 12. 

Answer:

there may be mistake in the question

Answer:

x=52.5

Step-by-step explanation:

Since ABCD is a parallelogram, B= ADC. So angle ADC is 105. Next since ED=AD, angle EAD=angle AED=x and ADE=75. So 2x+75=180, 2x=105, x=105/2

In parallelogram ABCD, m∠B = 105° then the value of x = 52.5

That quadrilateral in which opposite sides are parallel is called a parallelogram.

Thus, a parallelogram is always a quadrilateral but a quadrilateral can or cannot be a parallelogram.

Since ED ≈ AD,

∆AED is an isosceles triangle where ∠EAD and ∠AED has the same angle measurement

Now, ∠B = 105°, since ABCD is a parallelogram,

∠B = ∠D

∠ADC = 105°

∠ADE = 180°-105° = 75°

Now, ∠EAD + ∠AED+ ∠ADE = 180°

∠AED+∠AED+∠ADE = 180°

x+x+75°=180°

2x=180+75°

2x = 105°

x = 52.5°

Learn more about parallelogram;

https://brainly.com/question/1563728

#SPJ2

the probability is made of the desired outcome divided by the total outcome.

desired = wins = 8

total = wins and losses = 15

8/15 is the probability (approx. 53%)

hope it helps :)

Step-by-step explanation:

1/2 + 3/4

= 2/4 + 3/4

= 5/4

= 1 and 1/4 miles

Answer:

2.707 * 10^6

i think it is the best expression

Answer:

after discount sales price is rs 1997 which is 85 % of market price the market price = 1997/85×100 = 2350 ans.

Answer:

11+11= 22 answer is $ 22.03

Answer:

Step-by-step explanation:

The missing length is 13 because,

Lets say the top triangle is A and the bottom triangle is B.

Triangle A gives us the side GF, and Triangle B gives us the sides TU and ST. Since the triangles are similar(as stated in the problem), we can pair 2 sides GF(A) and TU(B) which is 11:22.(one way I usually figure which sides are similar is by first- matching the hypotenuse, then checking which of the remaining two is longer.. if that made any sense). You can see that their relationship is x2 or /2 (In another word, from A to B is multiplication- ex: 11 * 2 is 22, and from B to A is division- ex 22/2 is 11.) Since the missing number is the hypotenuse of triangle A and you know the Hypotenuse of triangle B all you have to do is divide side TS by 2 to get side SF. So the missing side is 13.

Answer: 13

Step-by-step explanation:

Set-builder notation is a notation for describing a set by indicating the properties that its members must satisfy.

C={2,4,6,8}

C={2×1,2×2,2×3,2×4}

thus set builder form is:

{x:x=2n,n∈N} and this set is also call even number set in description mathod

Answer:

x = y = 104°

Step-by-step explanation:

The sum of the interior angles = 360°

The opposite angles x and y are congruent , that is y = x , then

92 + 60 + x + x = 360

152 + 2x = 360 ( subtract 152 from both sides )

2x = 208 ( divide both sides by 2 )

x = 104

Then

x = y = 104°

[tex]\huge\underline\pink{✏ANSWER}[/tex]

Sorry for answering a nonsense

#BrainliestBunch

Answer:

c² = n²

Step-by-step explanation:

Given the 2 equations

a² + b² = c² → (1)

a² + b² = n² → (2)

Substitute a² + b² = c² into (2)

c² = n²

Answer:

4y+2x ≤ -1

(5,-3)

4x(-3)+2×(5) ≤ -1

-12+10≤ -1

-2 ≤ -1

A) 4y+2x ≤ -1

~OAmalOHopeO

Answer:

[tex]x + y = - 5[/tex]

Step-by-step explanation:

hopefully it is clear and makes sense

:)

______________________________

[tex]\sf\bold{The\:above\:graph\:says:}[/tex]

$\space$

$\sf\bold{here:}$

$\space$

$\sf\bold{Find\:acceleration\:by\:v-t\:graph:}$

$\mapsto$ $\sf\small{TanØ =}$ $\sf\dfrac{slope\:of\:y}{slope\:of\:x}$= $\sf\dfrac{20}{8}$ $\sf{m/s^2}$

$\space$

$\space$

$\sf\bold{Now,calculate\:the\:distance:}$

$\space$

$\sf\bold{Given\:parameters:}$

$\space$

$\sf\bold{Substituting \: the\:values:}$

$\mapsto$ $\sf\small{s=0+}$ $\sf\dfrac{1}{2}$ $\times$ $\sf\dfrac{5}{8}$ $\sf\small{8^2}$

$\space$

$\longmapsto$ $\sf\underline\bold\purple{S=80m}$

$\space$

❍Therefore , the acceleration is $\sf\bold{2.5m/s^2}$ and the distance traveled by car is $\sf\bold{80m.}$

_______________________________

80 m is distance ! Please mark as brainliest

Answer:

Below

Step-by-step explanation:

a) let's say that x represents the number of 12 pan cupcakes and y represent the number of 36 pan cupcakes. For her larger order she needs 504 cupcakes so that is the total. This can be demonstrated by the equation below!

    12x + 36y = 504

b) here we know that x = 18, so...

     12(18) + 36y = 504

      216 + 36y = 504

                36y = 288

     Divide both sides by 36

                     y = 8

Amy needs 8 of the 36 cup baking pans in order to complete her order.

Hope this helps! Best of luck <3

Diameter = radius x 2

So, the radius is half of the denominator.

10 / 2 = 5

A = pi x r^2

A = pi x 5^2

A =  3 x 25

A = 75 ft^2

Hope this helps!