1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
natulia [17]
3 years ago
14

Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 squa

re inches. In the equation (x + 2)2 = 121, x represents the side measure of the cropped photo.
What are the dimensions of the cropped photo?

A. 8 inches by 8 inches
B. 9 inches by 9 inches
C. 12 inches by 12 inches
D. 13 inches by 13 inches
Mathematics
2 answers:
Varvara68 [4.7K]3 years ago
6 0

Answer: B. 9 inches by 9 inches

x = -13 or x = 9

x cannot be negative, so

x = 9 inches

Therefore, the dimensions of the cropped photo is 9 inches by 9 inches.

Liliana decides to crop a square photo 2 inches on each side to fit it into a frame. The area of the original photo was 121 square inches. In the equation (x + 2)^2 = 121, x represents the side measure of the cropped photo.

What are the dimensions of the cropped photo?

A. 8 inches by 8 inches

B. 9 inches by 9 inches

C. 12 inches by 12 inches

D. 13 inches by 13 inches

Step-by-step explanation:

Given that;

(x+2)^2 = 121. ....1

x = size of cropped picture.

To solve for x,

From eqn1

x^2 + 4x + 4 = 121

x^2 + 4x - 117 = 0

Solving the quadratic equation gives;

(x+13)(x-9) = 0

x = -13 or x = 9

x cannot be negative, so

x = 9 inches

Therefore, the dimensions of the cropped photo is 9 inches by 9 inches.

mixer [17]3 years ago
6 0

Answer:

B. 9 inches by 9 inches

Step-by-step explanation:

he formula for the area of a square is length x width

For a square the length and the width are same therefore it is  

length x length = (length)²  (let’s call this first equation)

also (x + 2 )²= 121        (let’s call this second equation)

To form an equation for the cropped picture from the original picture

Length = (cut off length + new length) (third equation)

Length = ( 2 + x)           fourth equation

assuming the new lenght is x

Since 2 is the cut off length from each sides

Lets substitute first equation into second equation then we will have

Lenght² = 121

Length = √121

Length = 11

Substitute into fourth equation

Length = 11 = (x+2)

X+2 =11

X= 11 - 2

X=9

You might be interested in
A car is traveling at a rate of 40 miles per hour. what is this speed in feet per minute?
kifflom [539]
I am pretty sure it is 3520 feet per minute.
3 0
3 years ago
If it is not broken, then do not fix it.
r-ruslan [8.4K]
I need more details in order to answer your question
5 0
3 years ago
Pls do it plz plz plz DO IT THE NOW!!!!
Zigmanuir [339]

Answer:

(2 , 30)   & (4, 60)

Step-by-step explanation:

y = 15x

When x = 2 , y = 15*2 = 30

When x = 4 ;   y = 15 *4 = 60

8 0
3 years ago
Please help solve all of these-
lana [24]

Answer:

3−y

2. 8

4.​​2​bh

Step-by-step explanation:

5(2x+y)=15

2 Divide both sides by 55.

2x+y=\frac{15}{5}2x+y=

​5

​

​15

​​

3 Simplify  \frac{15}{5}

​5

​

​15

​​   to  33.

2x+y=32x+y=3

4 Subtract yy from both sides.

2x=3-y2x=3−y

5 Divide both sides by 22.

x=\frac{3-y}{2}x=

​2

​

1. ​3−y

​​ 2. 8

2.Add 2y2y to both sides.

x=-8+2yx=−8+2y

2 Regroup terms.

x=2y-8x=2y−8

7 0
3 years ago
A business's total sales, including a 5% tax, were $23,152.81. Calculate the actual sales and sales tax liability
irina1246 [14]
If the total sales are $23152.81 and the sales tax is 5%, take the total sales divided by 1.05 $23152.81/1.05 = $22050.30 (gaves you the sales) to get the sales tax, subtract the total sales from the sales= Sales are $22050.30Tax is $1102.51 hope this helps :)
7 0
3 years ago
Read 2 more answers
Other questions:
  • A triangle has side lengths of 28 in. 4 in, and 31 in. Classify it as acute, obtuse, or right.
    5·1 answer
  • The perimeter of a square must be greater than 188 inches but less than 198 inches. find the range of possible side lengths that
    13·1 answer
  • Find the length of the unknown side. Round your answer to the nearest whole number. (4 points) Image of a right triangle with le
    6·1 answer
  • The area of the following rectangle is 6O and^4 square meters and its length is 30 and meters
    6·1 answer
  • Triangular a Recallyuldl
    11·1 answer
  • Solve for t.
    14·2 answers
  • Simplify the expression.<br> -3(-8-2v+2v) (easy 10 points!)
    9·2 answers
  • A projectile is fired straight upward from the Earth's surface with an initial speed of 33.3m/sec. What is it's speed after 2.8s
    15·1 answer
  • A student got an 80% on a test that had 40 questions on it. How many questions did the student get correct?
    7·1 answer
  • What is the volume of the composite
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!