The closest perfect square less than 2592

Answer:

[tex]y=\frac{3}{8}x+11[/tex]

Step-by-step explanation:

To find a line that is perpendicular to 8x + 3y = -6 and goes through (-24, 2), lets first find what the line's slope would be.

We can find this by finding the slope of 8x + 3y = -6 and taking the negative reciprocal of it.

We can find the slope of that line by putting it in slope-intercept form:

8x + 3y = -6

Subtract 8x from both sides.

3y = -6 - 8x

Divide both sides by 3.

[tex]y=-\frac{6}{3}-\frac{8}{3}x[/tex]

[tex]y=-\frac{8}{3}x-2[/tex]

So the slope of that line would be -8/3.

The negative reciprocal of -8/3 would be 3/8.

Now we know that the new line would have to pass through the point (-24, 2). We can use this point and write the equation in point-slope form:

[tex]y-2=\frac{3}{8}(x+24)[/tex]

Now lets change this into slope-intercept form. Add 2 to both sides.

[tex]y=\frac{3}{8}(x+24) +2[/tex]

Distribute the 3/8.

[tex]y=\frac{3}{8}x+9+2[/tex]

Simplify.

[tex]y=\frac{3}{8}x+11[/tex]

And now we have our equation in slope-intercept form.

I hope you find this helpful.

Answer:

f(x+6)= 3x + 30

Step-by-step explanation:

Whenever you have to evaluate a function with a certain value, replace the variable x with a certain value. In this case, substitute x with the value of (x+6). You get the equation f(x+6)= 3(x+6) + 12, which simplifies into f(x+6)= 3x + 18 +12, which further simplifies into f(x+6)= 3x + 30.

Answer:

Step-by-step explanation:

First you have to split the shape into 2. I split the box so that the little one's length is Z and width is x. Find the area of both boxes:

Box 1:

Z x X = ZX

Box 2:

Y x (Z + X) = Y(Z + X)  

So the overall area of the box is:

ZX + Y(Z + X)

I'm not quite sure how to explain this without pictures to show you but i hope this helps. Let me know if you have any questions

Answer:

10x

X = Months

10 = letters each month

Answer: A, 6

Step-by-step explanation:

Edg

Problem 2

Plot point L anywhere that isn't on segment JK. Draw a line through point L. I find it helps to make the lines parallel.

Next, use a compass to measure the width of segment JK. Keeping this same width, transfer the nonpencil end of the compass to point L. Draw an arc that crosses the line through L.

Mark this intersection point M. Lastly, use a pen or marker to form segment LM and erase everything else of that line.

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

Problem 3

The ideas of the previous problem will be used here. We copied segment JK to form congruent segment LM. So JK = LM.

The same steps will be used to form segment GN where GN = EF. In other words, segment GN is a perfect copy of segment EF.

If you repeat these steps again, you'll get another segment of the same length. This segment goes from point N to point H. So NH = GN = EF

Then we can say,

GH = GN + NH

GH = EF + EF

GH = 2*EF

Answer:

4

Step-by-step explanation:

4 (First piece)

4*2=8(Second piece)

4*4=16

16+8+4=28

Answer:

B; The second answer

Step-by-step explanation:

The question is asking about the associative property of addition. This involves the rearranging of the parenthesis. If you were to solve the given equation, and solve the the answer, then you will get the same answer. In this property, it says that you will get the same result if you were to move/switch the parenthesis from the values; This means that order doesn't matter.

Answer:

c)21

Step-by-step explanation:

"To light a park, luminaries are placed along a length of 100 meters, if the first is placed in meter 1, the next in meter 4, the next in meter 7, and so on. in the following positions a luminary will be placed except in the subway:

a)13 b)19 c) 21 d)28? "

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

Luminaries position:

It makes an AP with the first term of 1 and common difference of 3

The formula for this AP is:

From the given options, only one is not in the same format:

because

Answer is: c) 13

Answer:

d

Step-by-step explanation:

its inverse so it will be the oppisite of 2/5

Answer:

65

Step-by-step explanation:

40 + 75 = 115

180 - 115 = 65

Answer:

x=65

Explaination

x+75+40=180

or,x+ 115=180

or, x=180-115

or x= 65

Answer:

c

Step-by-step explanation:

tHE ANSWER IS C

-3+-7....The answer is minus 10

Answer:

A vertical reflection is given by the equation y=−f(x) y = − f ( x ) and results in the curve being “reflected” across the x-axis. A horizontal reflection is given by the equation y=f(−x) y = f ( − x ) and results in the curve being “reflected” across the y-axis.

Answer:

[tex]x=-2[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(x)=3x-8[/tex]

And we want to solve for x if f(x) is -14.

So, substitute -14 for f(x):

[tex]-14=3x-8[/tex]

Add 8 to both sides:

[tex]-6=3x[/tex]

Divide both sides by 3:

[tex]x=-2[/tex]

And we're done!

Answer:

The value of x is -2 .

Step-by-step explanation:

You have to solve it by doing comparison :

[tex]f(x) = 3x - 8[/tex]

[tex]f(x) = - 14[/tex]

[tex]3x - 8 = - 14[/tex]

[tex]3x = - 14 + 8[/tex]

[tex]3x = - 6[/tex]

[tex]x = - 6 \div 3[/tex]

[tex]x = - 2[/tex]

Answer: (-28,-4)  

Step-by-step explanation:

Multiply the x and y coordinate values by the scale factor to find the image.

-7 * 4 = -28  

-1 * 4 = -4

(-28,-4)

Answer:

For question 9 = 54

Step-by-step explanation:

54 + 67 = 121

67 - 54 = 13

Answer:1.)k+2x  2.)54  3.) i think is n+n=145

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(1-11)^2+(3-10)^2}=\sqrt{(-10)^2+(-7)^2}=\sqrt{149}\\\\d=12.2065...\approx12.2[/tex]

Answer:

C: 75%

D. 0.75

Step-by-step explanation:

Both numbers are the same and they both are equivalent to 3/4.

6(9+5)

Step-by-step explanation:

Answer:

Right now its a parallelogram

Step-by-step explanation:

If you want to make it a square then just move the dots

im pretty sure thats right, if not sorry

Answer: the answer is -2

Step-by-step explanation: use slope formula

Answer:

3000

Step-by-step explanation:

Tony will donates $3000 after 5 years.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Donated amount= $1000

Tony is able to donate 3/2 times the amount that Theresa donates.

let Theresa donates x dollar each year

So, x+ 3/2x = 1000

5x/2 = 1000

5x = 2000

x= 400

Thus, Tony donate = 3/2 x 400 = $600

Hence, After 5 years Tony will donate= 600 x 5= $3000

Learn more about Algebra here:

https://brainly.com/question/24875240

#SPJ5

5430. Since 2 is smaller than 5, we will not round 32 to 40.

Step-by-step explanation:

How to check a solution: Just as you can check the solution to an equation, you can check a solution to an inequality. First, you check the end point by substituting it in the related equation. Then you check to see if the inequality is correct by substituting any other solution to see if it is one of the solutions.

How to tell if its true or false: An inequality is a statement that shows the relationship between two (or more) expressions with one of the following five signs: <, ≤, >, ≥, ≠. Like an equation, an inequality can be true or false. 34 - 12 > 5 + 2 is a true statement. 1 + 3 < 6 - 2 is a false statement.

Answer:

negative

best of luck!

The sign of the expression is Negative, the correct option is B.

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

The expression is

39 11/13 + (-41 1/13)

[tex]=\rm 39\dfrac{11}{13} -41\dfrac{1}{13}\\\\=\dfrac{518}{13} - \dfrac{534}{13}\\\\=\dfrac{ 518 - 534} {13}\\\\=\dfrac{ -16}{13}\\\\=- 1 \dfrac{3}{13}[/tex]

To know more about Expression

https://brainly.com/question/14083225

#SPJ2

The center of the circle is at -2 + 5i.

Complex Numbers. Complex numbers are those that are expressed as a+ib, where a and b are actual numbers and I is a fictitious number called a "iota."

Complex numbers are numbers that consist of two parts — a real number and an imaginary number.

Given:

Diameter = –10 – 1 i = (- 10, - 1)

6 + 11 i = (6, 11)

Given that we are aware that these are the diameter's endpoints, it follows that the circle's center is the place that lies midway between the endpoints.

Then,

x = (-10 + 6) / 2

  = - 4 / 2

   = -2

y = (- 1 + 11) / 2

   = 10 / 2

   = 5

Hence, the center is located at (- 2, 5).

Learn more about Complex Number here:

https://brainly.com/question/20566728

#SPJ2

Answer:

Hey there!

The domain, or possible x values are (-4, -1, 2, 9).

The range, or possible y values are (-3,  0, 6)

Let me know if this helps :)

Answer:

Domain: { -4, -1, 2,9}

Range: {-3, 0, 6}

Step-by-step explanation:

Domain is the x-values and range are the y-values. You can write it out in an x, y table to be able to see it better. Like shown below,

x         y

-1        6

2         0

9         -3

-4         6

If you need further explanation let me know, but I hope this helps!

Have a great day!