A square poster has an area measure of 324x^2 + 540x + 225 square units. Determine the side length of the poster.

Answers

Answer 1

[tex]\huge\text{$(18x+15)$ units}[/tex]

Given the area, we need to find the side length. Let's start with the area equation for a square, where [tex]s[/tex] is the side length and [tex]A[/tex] is the area.

[tex]s^2=A[/tex]

Substitute in the known value.

[tex]s^2=324x^2+540x+225[/tex]

Now we need to factor the trinomial. The trinomial given for the area is a perfect square trinomial since [tex]324[/tex] ([tex]18^2[/tex]) and [tex]225[/tex] ([tex]15^2[/tex]) are both perfect squares.

We also know that [tex]a^2+2ab+b^2=(a+b)^2[/tex], which we can use to factor.

[tex]s^2=324x^2+540x+225\\s^2=(18x)^2+2(18x)(15)+15^2\\s^2=(18x+15)^2[/tex]

Now, take the square root of both sides to fully isolate [tex]s[/tex].

[tex]\sqrt{s^2}=\sqrt{(18x+15)^2}[/tex]

Keep in mind that the square root of any value squared is the original value.

[tex]s=\boxed{18x+15}[/tex]


Related Questions

5. Jessica rode her bike 3 miles on Thursday and 4 miles on Friday. On Saturday, she rode twice as many miles as she rode on the first two days. How many miles did Jessica ride her bike on Saturday?
A. 7 miles
B.9 miles
C. 14 miles
D.6 miles

Answers

Answer:

C : 14 miles

Step-by-step explanation:

3 + 4 =7

7 × 2 = 14

Answer:

c. 14 miles

Step-by-step explanation:

you add the 3 miles plus the 4 miles and multiply it by 2

3*4= 7 *2

Question 12. How much more will her shirt cost in Union City than in River 10 points
City? A $0.01 B $0.05 C $0.10 D $25.80 *

Answers

Step-by-step explanation:

we need the whole question

Answer:

Need more explanation

Step-by-step explanation:

there a 158 beats per minute in a certain taylor swift song. if the song is 3 minutes and 30 seconds long, how many total beats are there

Answers

Answer:

553 beats

Step-by-step explanation:

Can someone please help me out

Answers

Answer:

1.5 lb/person

Step-by-step explanation:

All that is shown is a 12-lb turkey being used for 8 people.

Since you want the unit rate of pounds per person, divide the number of pounds by the number of people.

12 lb / 8 people = 1.5 lb/person

Find the third side in simplest radical form:

Answers

Answer:

br515898 avatar

HEY PLS DON'T JOIN THE ZOOM CALL OF A PERSON WHO'S ID IS 825 338 1513 (I'M NOT SAYING THE PASSWORD) HE IS A CHILD PREDATOR AND A PERV. HE HAS LOTS OF ACCOUNTS ON BRAINLY BUT HIS ZOOM NAME IS MYSTERIOUS MEN.. HE ASKS FOR GIRLS TO SHOW THEIR BODIES AND -------- PLEASE REPORT HIM IF YOU SEE A QUESTION LIKE THAT. WE NEED TO TAKE HIM DOWN!!! PLS COPY AND PASTE THIS TO OTHER COMMENT SECTIONS!! thx

Step-by-step explanation:

also this not mine O-O

175+14.25x=200+11z solve the problem

Answers

Answer:

x = 7.69

Step-by-step explanation:

We need to solve the given problem. It is as follows :

175+14.25x=200+11x

Here, x is a variable. We can take on one side of an equation and constants to the other side such that,

14.25x-11x = 200-175

3.25x=25

x = 25/3.25

x = 7.69

Hence, the solution of the given equation is 7.69.

An equation is a mathematical statement composed of algebraic and/or numeric expressions set equal to each other.

True
False

Answers

Answer:

True,

Definition of equation for you: a statement that the values of two mathematical expressions are equal (indicated by the sign =).

find the two partial products in the multiplication problem.
230x33
Plz help me and take your time on this i'm in no rush <3

Answers

Answer:

690 and 6,900

Step-by-step explanation:

     230

x      33

______

     690

+   6,900

________

    7590

Can someone help me please

Answers

The correct answer is:

b. 2.8

Find the value of y. Express in simplest radical form.

Answers

Answer:

5 root 5

Step-by-step explanation:

it's just u will make square of 10 and 5 then add them together

after u will put them under root

evaluate 5.6t for t = 0.7​

Answers

Answer:

3.92

Step-by-step explanation:

.7*5.6=3.92

hope that helps!

Enter the desimal equivalent of 6
Plz hurry

Answers

Answer:

0.06*

Step-by-step explanation:

*Assuming you mean 6%

6 percent can be written as 6/100, or six hundredths.

In decimal form, six hundredths is .006.

HTH :)

Help meeeeeee! If it’s correct you will get a something good!

Answers

Answer:

24/4=6

Step-by-step explanation:

In the model, there are 4 rows of 6 blocks. 24 total blocks divided by the 4 rows gives you six objects in each row.

HTH :)

in the circle shown, chords AC and BD intersect at E . if AE=8, EC=6, and BE=4. how long is DE?

10

12

14

16

Answers

Answer:

[tex] DE = 12 [/tex]

Step-by-step explanation:

Given:

AE = 8,

EC = 6,

BE = 4.

Required:

Length of DE

SOLUTION:

According to the Intersecting Chords Theorem, [tex] DE \times BE = AE \times EC [/tex]

Plug in the values into the equation. We would have:

[tex] DE \times 4 = 8 \times 6 [/tex]

[tex] DE \times 4 = 48 [/tex]

Divide both sides by 4

[tex] DE = \frac{48}{4} [/tex]

[tex] DE = 12 [/tex]

Answer:

12

Step-by-step explanation:

What is the equation in slope-intercept form for the line that passes through the points (−2, −1) and (1, 5)?
A. y = 2x − 3
B. y = 2x + 3
C. y = −2x − 3
D. y = −2x + 3

Answers

Answer:

y=2x+3

Step-by-step explanation:

we know the slope is 2

now we are going to find b

-1=2(-2)+b

-1=-4+b

-1+4=3

3=b

What is Jamal’s weight in kilograms if he weighs 156 pounds? Round to the nearest tenth if necessary. Jamal weighs 34.7 kilograms. Jamal weighs 70.2 kilograms. Jamal weighs 155.6 kilograms. Jamal weighs 346.7 kilograms.

Answers

Answer:

70.2 is the closest.

Step-by-step explanation:

156 / 2.2 = 70.8

Coach DeCaro records the cross country runners' times compared to their personal best times.
Runner
Gregor
Hiroki
Isabelle
Juan
Karen
3K Times
Time compared to
personal best
+5.6
-11.6
+3.2
0
-5.2
Which runners ran slower than their personal best?
O Juan
O Gregor and Isabelle
Gregor, Isabelle, and Juan
O Hiroki and Karen

Answers

Answer:I think its C but Im not sure

Step-by-step explanation: SMILE MORE!!! :D

Answer: Option B

( ik it's late but i needed the points lol)

Step-by-step explanation:

I got it right on my unit test on edge2021

How do you know that the sum of
[tex]( - 2 \frac{3}{4} )[/tex]
and
[tex] \frac{5}{9} [/tex]
is rational ?​

Answers

Answer:

A rational number is any number that can expressed as a fraction, those numbers are already fractions, so any operation on them gives a fraction which is rational

The guy above me answered it so hey, have a good day

Find a system of two equations in two variables, x1 and x2, that has the solution set given by the parametric representation
x1 = t and x2 = 7t − 8,
where t is any real number. (Enter your answer as a comma-separated list of equations.)
Let x2 = t, then x1 = ?

Answers

Answer:

3

Step-by-step explanation:

this is what I think

Kevin bought 5 tickets to a concert for $115. How much will it cost for 8 tickets to the concert if all tickets have the same unit price? Use the table below to help determine the missing value:

Answers

$184 for 8 tickets!

To find the unit price you divide 115/5 to get 23. $23 is the price of each ticket. You then times 23 by 8 to get $184.

Answer:

184$

Step-by-step explanation:

23$ per ticket

8 tickets = 184$

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Steve is looking up at Godzilla with an angle of elevation of 49 degrees. If Steve is 400 feet away, how tall is Godzilla to the nearest foot?

Answers

9514 1404 393

Answer:

  460 feet

Step-by-step explanation:

The tangent relates the measures to the angle:

  tan(angle of elevation) = (Godzilla height)/(distance away)

  tan(49°) = (Godzilla height)/(400 ft)

  Godzilla height = (400 ft)(tan(49°)) ≈ 460 ft

Godzilla is 460 feet tall.

Answer:

godzilla is 393 foot tall

Step-by-step explanation:

PLEASE HELP ASAP!! AND PLEASE SHOW ALL WORK THANK YOU!! 10x + 5 + 3x +1 =

Answers

Answer:

13x + 6

Step-by-step explanation:

10x + 3x + 5 + 1

13x + 5 + 1

13x + 6

You just combine like terms

Answer:

The answer is 53

Step-by-step explanation:

= 10x*5+3x*1

= 50x+3x*1

= 50x+3x

= 53x

Endpoint given the Midpoint: * The midpoint of RP is M(2, 4). If one of the end points is R(-1,7), find the coordinates of the other end point.​

Answers

Answer:

The coordinates of other point are: (5,1)

Step-by-step explanation:

Given coordinates are:

M(x,y) = (2,4)

R(x_1,x_2) = (-1,7)

We have to find the coordinates of other point (x2,y2)

The formula for mid-point is given by:

[tex]M(x,y) = (\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2})[/tex]

Putting the values we get

[tex](2,4) = (\frac{-1+x_2}{2}, \frac{7+y_2}{2})[/tex]

Putting respective elements equal

[tex]\frac{-1+x_2}{2} = 2\\-1+x_2 = 2*2\\-1+x_2 = 4\\x_2 = 4+1\\x_2 = 5\\And\\\frac{7+y_2}{2} = 4\\7+y_2 = 4*2\\7+y_2 = 8\\y_2 = 8-7\\y_2 = 1[/tex]

Hence,

The coordinates of other point are: (5,1)

question is in png pls some1 help !

Answers

Answer:

Triangle x = 30. Pentagon x = 50

Step-by-step explanation:

For the triangle,

Find the angle which is beside x in the triangle,

let's name that angle y, so 55 + 55 + y = 180 ( we find 55 by subtracting both angles 125 from 180)

110 + y = 180

Y = 180 - 110

y = 70

Now that we have find Y, we can easily find x by subtracting 70 from 180 which would be, 70 + X = 180

x = 180 - 70

x = 30

For the pentagon,

Again find the angle which is beside x in the pentagon,

let's name that y again, 90 + 120( by subtracting 60 from 180) + 110( by subtracting 70 from 180)  + 90 + y = 540

210 + 200 + y = 540

410 + y = 540

y = 540 - 410

y = 130

Now that we have find y, we can easily find x by subtracting 130 from 180 which would be, 130 + x = 180

x = 180 - 130

x = 50

Hope this helps!

The person above me is right, brainliest her/ or him

un cine tiene 2 salas la sala A tiene 1920 butacas distribuidas en 24 filas con la misma cantidad en cada una ¿cuantas butacas tiene cada fila?

Answers

Answer:

80 and B is 96

Step-by-step explanation:

1920 ÷ 24 = 80

1920 ÷ 20 = 96

puedes comprobarlo en la calculadora

lo siento si es incorrecto

eso es lo que entendí

The ratio of two computers is 3:2.

1.If the first computer costs 55000/=,what is the price of the second computer?

2.If the price of 2nd computer is 2000/= more,what is the ratio of. the computers?

Need it for test​......

Answers

Answer:

36666.66 units

Step-by-step explanation:

Let the cost of computer 1 is 3x and that of 2 is 2x.

Cost of first computer = 3x

55000 = 3x

x = 18333.33

Cost of second computer = 2x

= 2(18333.33)

= 36666.66

Henc, the cost of the second computer is 36666.66 units.


Using the graph provided, find the y-intercept.

Answers

Answer:

y-intercept = 2

Step-by-step explanation:

The y-intercept of a graph is simply the point at which the value of y, when x = 0. It is the point at which the y-axis is intercepted by the line.

In the graph provided, the line cuts the y-axis at y = 2, when x = 0.

Therefore the y-intercept of the graph provided = 2.

What is the equation of the line with a slope of 1/2 that passes through the point (-8, -2)?

Answers

Answer:

The answer is

[tex]y = \frac{1}{2} x + 2 \\ [/tex]

Step-by-step explanation:

To find an equation of a line when given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

From the question we have

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

We have the final answer as

[tex]y = \frac{1}{2} x + 2 \\ [/tex]

Hope this helps you

3b • a2

This for test

Answers

6ba is the answer you need

Which of these sets of measurements represents the lengths of the sides of a right triangle?

a. (10, 24, 26)

b. (5, 12, 24)

c. (12, 18, 30)

d. (1, 2, 9)

Answers

Answer: The answer is B, just had this answer today, teacher said it was correct.

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