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viktelen [127]
2 years ago
15

Miriam reduced a square photo by cutting 3 inches away from the length and the width so it will fit in her photo album. The area

of the reduced photo is 64 square inches. In the equation (x – 3)2 = 64, x represents the side measure of the original photo.
What were the dimensions of the original photo?

11 inches by 11 inches
5 inches by 5 inches
3 + inches by 3 + inches
3 inches by 3 inches
Mathematics
2 answers:
kari74 [83]2 years ago
6 0

Answer:

Option 1: 11 inches by 11 inches

Step-by-step explanation:

Rina8888 [55]2 years ago
3 0

Answer:

11 inches by 11 inches

Step-by-step explanation:

The dimensions of the original photo were 11 inches by 11 inches.

We are informed that the area of the reduced photo is 64 square inches and that In the equation (x – 3)^2 = 64, x represents the side measure of the original photo.

In order to solve for x, we shall first take square roots on both sides of the equation;

The square root of (x – 3)^2 is simply (x - 3).

The square root of 64 is ±8 but we ignore -8 since the dimensions of any figure must be positive.

Therefore, we have the following equation;

x - 3 = 8

x = 8 + 3

x = 11

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What angle does an arc 6.6cm in length subtends at the centre of a circle of radius 14cm. Use π = 22/7)
aniked [119]

Answer:

STEP 1: Find the circumference:

Circumference = 2πr

Circumference = 2π(14) = 28π cm

............................................................................................

STEP 2: Find the length of the arc:

Length of the arc = 36/360 x 28π

Length of the arc = 8.8 cm

.............................................................................................

Answer: The length of the arc is 8.8 cm

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hope it helpssss

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4 0
2 years ago
Read 2 more answers
Pedro has created the function f(x)= 4x-3/2 to represent the number of assingments he has completed where x represents the numbe
Law Incorporation [45]
The given function is
f(x) = 4x - 3/2
where
f(x) = number of assignments completed
x =  number of weeks required to complete the assignments

We want to find f⁻¹ (30) as an estimate of the number of weeks required to complete 30 assignments.
The procedure is as follows:

1. Set y = f(x)
   y = 4x - 3/2

2. Exchange x and y
   x = 4y - 3/2

3. Solve for y
   4y = x + 3/2
   y = (x +3/2)/4

4. Set y equal to f⁻¹ (x)
  f⁻¹ (x) = (x + 3/2)/4

5. Find f⁻¹ (30)
  f⁻¹ (30) = (30 + 3/2)/4 = 63/8 = 8 (approxmately)

Answer:
Pedro needs about 8 weeks to complete 30 assignments.

6 0
2 years ago
The distance between New York and Philadelphia by railroad is 90 miles; the distance between them by river and ocean is 240 mile
VladimirAG [237]
Start with 90/240, then reduce the fraction
you can reduce by dividing each by 10 to get 9/24
reduce more from there, seeing that each number can be divided by 3
9/3  = 3
24/3 = 8
answer 3/8

3 0
2 years ago
A board game is played as follows: a number cube numbered 1 to 6 is rolled. If the number 1 comes up, you get nothing. If the nu
Evgesh-ka [11]
I think it is fair becasue you have the chance to win more than to lose point if get 1 or 6 you dont get nothing so that not a lose 
4 0
2 years ago
Find a rational number halfway between 7/8 and 6/7
algol [13]
<h3>Answer: 97/112</h3>

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

How to get this answer:

Midpoint formula: (A+B)/2 = C

A and B are the endpoints with C as the midpoint

A = 7/8

B = 6/7

A+B = 7/8 + 6/7

A+B = 49/56 + 48/56

A+B = (49+48)/56

A+B = 97/56

(A+B)/2 = (97/56) divided by 2

(A+B)/2 = (97/56) times (1/2)

(A+B)/2 = (97*1)/(56*2)

(A+B)/2 = 97/112

8 0
2 years ago
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