Martha sells custom painted square canvases. She determined that the amount of tissue paper she'll need to wrap each canvas can be represented by
y= x^2 + 2x + 1, where y is the total square inches of tissue paper and x is the side length of the canvas in inches. Write and solve an equation to determine the side length of the canvas is Martha needs 49 square inches of tissue paper.

Answers

Answer 1

Given:

The equation is

[tex]y=x^2+2x+1[/tex]

where y is the total square inches of tissue paper and x is the side length of the canvas in inches.

To find:

The side length of the canvas is Martha needs 49 square inches of tissue paper.

Solution:

We have,

[tex]y=x^2+2x+1[/tex]

Putting y=49, we get

[tex]49=x^2+2x+1[/tex]

[tex]0=x^2+2x+1-49[/tex]

[tex]0=x^2+2x-48[/tex]

Splitting the middle term, we get

[tex]0=x^2+8x-6x-48[/tex]

[tex]0=x(x+8)-6(x+8)[/tex]

[tex]0=(x+8)(x-6)[/tex]

Using zero product property, we get

[tex]x+8=0[/tex] and [tex]x-6=0[/tex]

[tex]x=-8[/tex] and [tex]x=6[/tex]

Side length cannot be negative. So, only possible value of x is 6.

Therefore, Martha needs 6 inches side length of the canvas for 49 square inches of tissue paper.


Related Questions

4e-12=36 how do u solve this

Answers

Answer:

4e-12=36

4e=36+12

4e=48

e=12

Step-by-step explanation:

pasos

1mover la constante a la derecha añadiendo su opuesto en ambos lados (+12 +12)

2debido a que dos opuestos sumados dan cero, remuévenos la expresión es decir (4e=36+12)

3sumar los números es decir sumar (36+12)

4divide ambos lados de la ecuación entre 4 es decir (4e/4 =48/4)

5cualquier expresión dividida entre si es igual a 1

6calcular el cociente es decir (48/4 e=12)

Answer:

12

Step-by-step explanation:

4e=36+12

4e=48

e=12

hope it helps

At the most recent dance ASB sold 143 tickets and collected $1470 of students sold for $10.00 and teachers tickets sold for $15.00 how many teachers attended the dance

Answers

Answer:

8

Step-by-step explanation:

1470 = 10s+15t

143 = s+t

1470 = 10(143-t)+15t

40 = 5t

8 = t

Apostrophes are used to indicate __________.

long quotations
lists
appositives
possession

Answers

possessions because lists use commas and appositives replace nouns.

---

hope it helps

Answer:

DDDDDD possession

Step-by-step explanation:

finding angle measures with trig. Find the missing angle measures. Round to the nearest whole number​

Answers

Answer:

let angle be x

Step-by-step explanation:

relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=13/26

x=sin-¹(13/26)=30°

2.relationship between perpendicular and base is given by tan angle

tan x =p/b

tan x =7/16

x=tan -¹(7/16)=23.63°

3.relationship between between perpendicular and base is given by tan angle

tan x =p/b

tanx=31/50

x=tan-¹(31/50)=31.8°

4.relationship between base and hypotenuse is given by cos angle

cos x =b/h

cos x=5/7

x=cos-1(5/7)=44.4°

5.relationship between perpendicular and hypotenuse is given by sin angle

sin x =p/h

sin x=4/14

x=sin-¹(4/14)=16.6

6..relationship between base and hypotenuse is given by cos angle

cos x=6/7

x=cos-¹(6/7)=31.0027

7.relationship between perpendicular and base is given by tan angle

.tanx=29/37

x=tan-¹(29/37)=38.09

8.relationship between perpendicular and hypotenuse is given by sin angle

.sin x=43/60

x=sin-¹(43/60)=45.78

9..relationship between base and hypotenuse is given by cos angle

cos x=32/44

x=cos-¹(32/44)=43.34

what is the correct equation of the line shown at the right?

Answers

Answer:

F

Step-by-step explanation:

rise/run is 3/2 which is the number before the x and the y intercept (the last number in the equation) is 3

The temperature in Virginia fell
from 12.3°C to -4.7°c. What is
the difference between the two
temperatures?

Answers

Answer:

17

Step-by-step explanation:

you add the absolute values

Hiiiooo! Can somebody please help me! Much love❤️❤️❤️Thank you!! :D

Answers

Answer:

x = 21 m

Step-by-step explanation:

Tan ∅ = [tex]\frac{opposite sides}{adjacent side}\\[/tex]

[tex]tan 40 = \frac{x}{25}\\\\0.84 = \frac{x}{25}\\\\0.84*25=x\\\\x = 21[/tex]

Which one of these represents the graph in this picture right here ? A,B,C,D,E or F?
PLEASE HELP

Answers

Answer:

A) y=3x+1

Step-by-step explanation:

Use the formula y=mx+b

m is the slope and b is the y intercept

the graph starts on 1 on the y axis so you replace 1 for b

the slope goes up 3 and over one, giving the fraction 3/1 or just 3. so you replace 3 for m.

what is the value of this example?

[tex] \frac{1}{6} | \div 12[/tex]

Answers

Answer: I will give you the answer in fraction form and in decimal form. Here is 1/6 divided by 12... Answer: 1/72

Step-by-step explanation:

Look at the picture and answer, Please show work as well

Answers

Answer:

1. Boys =61

2.=53

3.122

4.128

[Help asap, will mark brainliest when it allows me] What is the value of x?

Answers

Answer:

x = 45 degrees

Step-by-step explanation:

The angles in a triangle adds up to 180 degrees

105 + 30 + x = 180

==>

x = 180-135=45

A sum of was to be shared among three siblings, Rombe nikita and kimroy in the ratio 3:7:9. it nikita received $2500 more than Rambo. Evaluate.

i) The sum of money shared...

ii) kimroy's share. please hurry!!! and give me the full working out to solve the solution.

Answers

Answer:

Step-by-step explanation:

Formula: share/# of parts × amount = Total

# of parts= 3+7+9= 19

so= 3/19 × $2500 = $7500

= $7500 × 3

= $22500

do the same for the others to get the shared. oh and also 3/19 is a fraction. hope it was helpful.✌

a boy has $5 coins and a $10 coins they are eight coins all together and their value is $55 how many of each kind does he have​

Answers

Answer:

3 $10 coins and 5 $5 coins

Step-by-step explanation:

Which triangle is a 30°-60°-90° triangle?
10
ch
5
5/3
15
5
53
10
O 5
10./3
15
10
5/3

Answers

Answer:

the first one

Step-by-step explanation:

Hey There!

Look at the image for the rule of a 30- 60 - 90 triangle

x = 5

the hypotenuse would be x2 so 10

the longer leg would be x[tex]\sqrt{3}[/tex]

So the first triangle is the right answer

The first triangle in the figure is a 30°-60°-90° triangle.

What is a triangle?

A triangle is a polygon with three sides and three angles.

Given are triangles, we need to see which of them are a 30°-60°-90° triangle,

So,

In a 30°60°-90° triangle, the side opposite the 30° angle (shortest side) is half the length of the hypotenuse.

So you have to choose one with 5 & 10.

Use the Pythagorean theorem to calculate the remaining side

a² + b² = c²

5² + b² = 10²,   so b² = 100-25  √b²=√75  so √(25)(3)  

b= 5√3

Hence, the first triangle in the figure is a 30°-60°-90° triangle.

Learn more about triangles, click;

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In which table does y vary directly with x?

Answers

um i thinks it’s c i’m not sure

(13-2x^3+6x)-(7x^3+9-4x)

Answers

Answer= (4-9x^3+10x)

Answer:

if you simplify the expression you would get: -9x^3 + 10x + 4

Hope this helps:)

Which mapping(s) below represent(s) a function?


Answers

Answer: D

Step-by-step explanation:

The answer is letter

Question #4. A $25 baseball hat is on sale for 25% off. What is the sale
price?

Answers

18.75 sale price hope this helped

the sale price is $18.75

Find the total surface area of the following cylinder: r= 3 cm 3 cm SA= [? ]n cm

plz help man, im frustrated and i need 1 more answer​

Answers

I'm pretty sure that the area of the cylinder is 113.1 cm

Find the length of the missing side.

Answers

Answer: i think 80 not sure tho i failed my last test

Step-by-step explanation:

Answer:

80  in

Step-by-step explanation:

Because this is a right triangle we can find the length of the missing side using the Pythagorean Theorem

Given the hypotenuse and one leg we do

[tex]c^2-b^2=a^2[/tex]

where c = hypotenuse and b = leg

[tex]82^2=6724\\18^2=324\\6724-324=6400\\\sqrt{6400} =80[/tex]

so we can conclude that the missing side length is equal to 80

Find the value of x in the triangle shown below.
1.5
2.5
X

Answers

So 2.5^2= 1.5^2 +b^2
6.25= 2.25 +b^2
Subtract 2.25 on each side
4= b^2
Take the square root of each side
X=2

Hope it helps

Answer:

X=2

Step-by-step explanation:

Khan academy

Which type of line, dashed or solid, would you use to graph the given
equation: y < 3x - 5

solid
dashed
none

Answers

Answer:

dashed

Step-by-step explanation:

when its < or > its dashed, when its the other ones its solid

The diagonals of square ABCD intersect at point E. If BE = 2x + 1, and AC = 3(6x - 4), find BD.

Answers

Answer:.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

7.2

will give brainliest if right​

Answers

SAKHDSKGgsgdyasygudayf

Solving the formula P = 2L + 2W for W is NOT equivalent to which equation?

Answers

Answer:

3rd one

Step-by-step explanation:

2l + 2w = P

2w = P - 2l

w = P - 2l / 2

Therefore, the equivalent equation to the given equation is [tex]w=P-\frac{1(L)}{2}[/tex].

What is the equation?

The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.

Here given equation is

[tex]2L + 2w = P\\\\2(L+w)=P\\\\L+w=\frac{1}{2}P\\\\w=\frac{1}{2}P-L\\\\w=\frac{P-2L}{2}\\\\w=P-\frac{1}{2}L[/tex]

Hence, the equivalent equation to the given equation is [tex]w=P-\frac{1(L)}{2}[/tex].

To know more about the equation

https://brainly.com/question/12788590

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Identify the coefficients in the expression 4a + 15-3k *

Answers

coefficients are basically numbers in front of the variable...
4 is the coefficient in 4a and 3 is the coefficient in 3k

Delvin conduct a scientific experiment for a certain time the temperature of a compound rose 1 3/4 every 2 1/3 hours how much is the temperature of the compound rise in one hour?

Answers

skskksdkswppswknrenennenje

Can I plz get help??? And a I need like a step to step solving it plzz

Answers

Answer:

V = 386.04

Step-by-step explanation:

V = [tex]\frac{4}{3}\pi r^{2}[/tex]

V = [tex]\frac{4}{3}\pi 9.6^{2}[/tex]

V = (4/3)[tex]\pi[/tex]92.16

V = 122.88[tex]\pi[/tex]

V = 386.04

Factor the polynomial: x^7 - x^5

Select one:
a. x^5(1 - x)
b. x^5(1 - 2x)
c. x^5(x^2 - 2x)
d. x^5(x^2 - 1)

Answers

Answer:

d. x^5(x^2 - 1)

Step-by-step explanation:

x^7 - x^5

Factor out x^5

x^5(x^2−1)

Consider x^2−1. Rewrite x^2−1 as x^2−1^2. The difference of squares can be factored using the rule: a^2 - b^2 =(a−b)(a+b).

(x−1)(x+1)

Rewrite the complete factored expression.

x^5(x−1)(x+1)

Simplify.

(x^2 - 1)x^5

Swap terms to the left side.

x^5(x^2 - 1)

Answer: D. [tex]x^{5} (x^{2} -1)[/tex]

Step-by-step explanation:  

x^5 (x^2-1)

x^5 (x^2-1^2)

x^5 (x+1)(x-1)  

I need help plz help I will give brainiest plz

Answers

Answer:

1 = 60 cm. 2 = weeks 4-5

Step-by-step explanation:

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