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?

8 inches by 8 inches
9 inches by 9 inches
12 inches by 12 inches
13 inches by 13 inches

Answers

Answer 1

Answer:

x = 9 or B

Step-by-step explanation:

Formula

(x + 2)^2 = 121                        

Comment

The easiest way to do this is to take the square root immediately, which is usually possible.

Solution

√(x + 2)^2 = √121                     Take the square root

x + 2 = 11                                   Subtract 2 from both sides

x + 2 -  2 = 11 - 2

x = 9

Answer 2

Answer: B) 9 inches by 9 inches

Step-by-step explanation:

Edg 2022


Related Questions

a and b are positive integers and 7a+ 5b= 49. Find the values of a and b.
3.1 What is a?
2 What is b?

Answers

Answer:

B = 49/5 - 7a/5

A = = -5b/7 + 7

Step-by-step explanation:

Given that,

7a+ 5b= 49

Solution:

Solving for a:

Add -5b to both sides:

[tex]7a+5b - 5b=49 - 5b[/tex][tex]7a = - 5b + 49[/tex]

Divide both sides by 7:

[tex] \cfrac{7a}{7} = \cfrac{ - 5b + 49}{7} [/tex][tex]a = \cfrac{ - 5b}{7} + 7[/tex]

Hence,a = -5b/7 + 7.

Solving for b:

Add -7a to both sides:

[tex]7a+5b+( - 7a)=49+(−7a)[/tex][tex]7a + 5b - 7a = 49 - 7a[/tex][tex]5b = 49 - 7a[/tex]

Divide both sides by 5:

[tex] \cfrac{5b}{5} = \cfrac{49 - 7a}{5} [/tex][tex]b = \cfrac{49}{5} - \cfrac{7a}{5} [/tex]

Hence,b = 49/5 - 7a/5.

27.9km to the nearest km

Answers

Answer: It rounds to 28 km

Explanation:

The units or ones digit is "7". The next digit over (9) is five or larger. This means we bump the 27 up to 28. Everything after the 7 is ignored.

So we could have something like 27.999871212512 and we still follow the same idea of focusing on the 27, bumping it up to 28, and everything else gets ignored.

The reason for this is because 27.9 is much closer to 28 than it is to 27. Draw out a number line to help see this. Split the region from 27 to 28 into 10 equal pieces. The 9th little piece represents 27 & 9/10 aka 27.9

Refer to the number line diagram below.

A triangle has two sides of lenghts 8 and 10. what value could the length of the third sird side be?​

Answers

Answer:

Step-by-step explanation:

sum of any two sides > third side

difference of any two sides < third side.

8+10=18

10-8=2

2<third side <18

Which of the following demonstrates the Distributive Property?
3(4a + 2) = 12a + 6
3(4a + 2) = 12a + 2
3(4a + 2) = 4a + 6
3(4a + 2) = 7a + 5

Answers

Answer:

[tex]\fbox {3(4a + 2) = 12a + 6}[/tex]

Step-by-step explanation:

⇒ 3(4a + 2)

⇒ 3(4a) + 3(2)

⇒ 12a + 6

Answer:

A) 3(4a + 2) = 12a + 6

Step-by-step explanation:

This is the correct answer because the distributive property is where you break up all the numbers and pretty much that is what you do in A.

3 * 4a = 12a

3 * 2 = 6

So then, as you can see, the answer would be 12a + 6.

This is another explanation, even though they are LITERALLY the same.

Apply the distributive property.

3 (4a) + 3 ⋅ 2

Multiply 4 by 3.

12a + 3 ⋅ 2

Multiply 3 by 2.

12a + 6

Brainliest pls

Express the division form of a+bi (1+3i) divided by (2+i)

Answers

Answer should be 1+1i

Circle O is shown. Line segment J E is a diameter and line segment O B is a radius. A line is drawn from point J to point B to form a chord. Tangents B D and E D intersect at point D outside of the circle.
Use the diagram to complete the statements.



The measure of angle EJB is
the measure of angle BOE.



The measure of angle BDE is
the measure of angle BOE.



The measure of angle OED is
✔ equal to
the measure of angle OBD.

Answers

The measure of angle OED is the measure of angle OBD. Then the correct option is C.

What is a circle?

It is the center of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.

Circle O is shown.

Line segment JE is a diameter and line segment OB is a radius.

A line is drawn from point J to point B to form a chord.

Tangents BD and ED intersect at point D outside the circle.

The radius and tangent are orthogonal to each other.

∠OED = ∠OBD = 90°

Then the correct option is C.

The complete question is given below.

Circle O is shown. Line segment J E is a diameter and line segment O B is a radius. A line is drawn from point J to point B to form a chord. Tangents B D and E D intersect at point D outside of the circle.

Use the diagram to complete the statements.

The measure of angle EJB is the measure of angle BOE.

The measure of angle BDE is the measure of angle BOE.

The measure of angle OED is the measure of angle OBD.

More about the circle link is given below.

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Answer:

one-half, 180 minus, equal to

Step-by-step explanation:

PLEASE HELP ME ASAPPPP
Which statement best describes the relationship between the two figures? Figure QRTS is bigger than figure Q’R’T’S’. Figure QRTS is congruent to figure Q’R’TS’. The measure of angle R is equal to the measure of angle Q’. The measure of angle S is equal to the measure of angle T’.

Answers

Answer: Figure QRTS is congruent to figure Q'R'T'S'.

Step-by-step explanation:

A reflection is a rigid motion, and rigid motions preserve congruency.

NEED THIS DONE ASAP!! Thank you!!​

Answers

Answer:

  arc BC = 75 degrees

Step-by-step explanation:

The angle where chords cross is half the sum of the intercepted arcs. This relation can be used to find x and the angle and arc measures.

__

The angle relation is ...

  1/2((8x +11) +(9x -7)) = (8x +6)

  17x +4 = 16x +12 . . . . . . . multiply by 2 and simplify

  x = 8 . . . . . . . . . . . . . . subtract 16x+4 from both sides

Then the measure of arc BC is ...

  arc BC = 8x+11 = 8(8) +11 = 75 . . . degrees

_____

Additional comment

We can compute the other measures just to make sure they have the desired relationship.

  angle BAC = 8x+6 = 70 . . . degrees

  arc FD = 9x -7 = 65 . . . degrees

Since 70 = (65 +75)/2, these measures work out as expected.

What is the value of the rational expression below when x is equal to 4?

Answers

Answer: letter B (answer is 2)

Step-by-step explanation:

Lila wants to represent the following statement: seven times some number plus thirteen. How can she write this as an expression?

Answers

Answer: 7x+13

Step-by-step explanation:

7 is being multiplied by some number (x) and then the answer to that is added to 13.

Create and solve a linear equation that represents the model, where circles and a square are shown evenly balanced on a balance beam.

Answers

A linear equation that represents the model is: x + 6 = 10; x = 4

How to solve linear equations?

Let us first define the variables based on the attached image of the ball balance:

Let x = number of balls that contains the square.

On the left side, we have; square + 6 balls

On the right side, we have; 10 balls

To balance this, we have;

x + 6 = 10

x = 10-6

x = 4

Thus, a linear equation that represents the model is:

x + 6 = 10; x = 4

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From Kansas City to Denver is twice as far as from Kansas City to St. Louis the two distance together total 900 miles what are the two distance?

Answers

Answer:

KC to StL = 300

KC to Den = 600

Step-by-step explanation:

KC to StL was the base distance, so we'll call that x.

KC to Denver is twice as long, so we'll call that 2x.

If we add the together is is 900 miles total.

x + 2x = 900    Combine like terms

3x = 900          Divide by 3

x = 300

If x is 300, then 2x is 600.

Doug split a pack of cards so that he and his friends each got 6 cards. If there were 24 cards in the pack, how many friends did Doug share his cards with ?

Answer is not 4.

Answers

Answer:

3

Step-by-step explanation:

24 divided by 6 is 4, subtract Doug, there were 3 friends

THERE ARE 5 RED MARBLES, 8 BLUR MARBLES, AND 12 GREEN MARBLES IN A BAG. SEVERAL TRIALS ARE PERFORMED WITH THE RESULTS SHOWN IN THE TABLE. WHAT IS THE EDPERIMENTAL PROBABILITY OF RANDOMLY DRAWING A GREEN MARBLE?

Answers

The experimental probability is 56% i.e., 28.

What is probability?

The probability is the measure of the likelihood of an event to happen.

Given:

Total marbles= 8 + 12 + 5= 25 marbles

Total trials= 12+28+10 = 50 trials

So,  the experimental probability is 56% for the green marble.

= 56% of 50

= 56 /100 *50

= 56/2

= 28

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Tyrone paid $234.33 for a new watch, after-tax, and the tax rate is 7%. What was the original price of the watch?

Answers

the price of the watch plus tax = 100% + 7% = 107%

Divide the total cost by 107%:


234.33 / 1.07 = 219.00

The original price was $219.00

Find the inverse of the function.
y = -3x - 9
Write your answer in the form ax + b. Simplify any fractions.
y =

Answers

Answer: [tex]y=-\frac{1}{3} x-3[/tex]

Step-by-step explanation:

To find the inverse of a function you must first swap the places of x and y

[tex]x=-3y-9[/tex]

Now solve for y

Step 1: Flip the equation.

[tex]-3y-9=x[/tex]

Step 2: Add 9 to both sides.

[tex]-3y-9+9=x+9\\-3y=x+9[/tex]

Step 3: Divide both sides by -3.

[tex]\frac{-3y}{-3} =\frac{x}{-3} +\frac{9}{-3} \\y=-\frac{1}{3} x-3[/tex]

which of the following expresses the coordinates of the foci of the conic section shown below? (x-2)^2/4+(y+5)^2/9

Answers

Step-by-step explanation:

[tex] \frac{(x - 2) {}^{2} }{4} + \frac{(y + 5) {}^{2} }{9} = 1[/tex]

This is the equation of the ellipse. Since the denominator is greater for the y values, we have a vertical ellipse. Remember a>b, so a

The formula for the foci of the vertical ellipse is

(h,k+c) and (h,k-c).

where c is

Our center (h,k) is (2, -5)

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

Here a^2 is 9, b^2 is 4.

[tex] {c}^{2} = 9 - 4[/tex]

[tex] {c}^{2} = 5[/tex]

[tex]c = \sqrt{5} [/tex]

So our foci is

[tex](2, - 5 + \sqrt{5} )[/tex]

and

[tex](2, - 5 - \sqrt{5} )[/tex]

The table shows the results of a survey of students in two math classes.
Find P(more than 1 hour of TV | 6th period class). Round to the nearest thousandth. Be sure to show and explain your work.

Answers

P(more than 1 hour of TV | 6th period class) is  0.352.

What is the probability?

Probability determines the odds that a random event would happen. The odds of the random event happening lie between 0 and 1.

P(more than 1 hour of TV | 6th period class) = number of 6th period class students who watch tv for more than an hour / total number of students surveyed

12 / (12 + 9 + 5 + 8)

12 / 34 = 0.352

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Select the graph that represents the correct answer to the equation.
5y = 3x - 5

Answers

Given:

The given equation is 5y=3x-5

Find: Draw the graph

Explanation:

It is given that 5y=3x-5. Substitute x=0 into the given equation we have

[tex]5y = 3x - 5[/tex]

[tex]5y = 3(0) - 5[/tex]

[tex]5y = - 5[/tex]

[tex]y=-1[/tex]

Now, substitute x=5 into the given

equation we have

[tex]5y = 3(5)-5[/tex]

[tex]5y = 15-5[/tex]

[tex]5y = 10[/tex]

[tex]y = 2[/tex]

The points are (0,-1) and (5,2).

Therefore, the required graph is

Hence, the required graph is obtained.

Which expression can be used to an identity with [(sin)(sec)]^2 + 1?

Answers

Answer:

A

Step-by-step explanation:

sin*sec=tan

tan^2+1=sec^2 by an identity

What is the slope of the line shown below?
A. 2/7
B.-7/2
C.-2/7
D. 7/2

Answers

Answer: C. -2/7
(WORK SHOWN BELOW)

Answer:

-2/7

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 1-3)/( 3 - -4)

    = (1-3)/( 3+4)

    = -2/7

What is line r called and what are ∠1 and ∠2?

Answers

Answer:

The line r is the transversal and ∠1 and ∠2 are linear pairs.

Step-by-step explanation:

Angles such as matching angles, alternative angles, linear pair angles, etc. are created when a transversal intersects parallel lines.

Consequently, the parallel lines are p and q.

R is the transversal

The parallel lines p and q are divided by the transversal r.

As a result, lines 1 and 2 are linear pairs, and line r is the transversal.

Answer:

it is called a transversal (how do u not know this?)

What is the solution, if any, to the inequality |3x|_>0
O all real numbers
O no solution
O x_>0
O x≤0

Answers

Answer:

C , x>0

Step-by-step explanation:

anything times 0 is 0 and 3x has to be larger than 0

Find x
proportions with similar triangles. ​

Answers

Answer:

32

(this is just an approximation due to the left triangle)

The is 32 I hope dis helps

lexia ran three laps around her neighborhood. Each lap is 1 and StartFraction 3 over 8 EndFraction miles. Which is the best estimate of the number of miles that Alexia ran?
2 miles
3 and one-half miles
4 and one-half miles
6 miles

Answers

Answer: The best estimate of the number of miles that Alexia run is 4 miles.

Step-by-step explanation:

Since we have given that

Length of lap is given by

Number of laps around her neighborhood = 3

So, Total number of miles that Alexia ran is given by

Hence, the best estimate of the number of miles that Alexia run is 4 miles

9)Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The
other end of the leash is tied to the top of an 8-foot pole. How far can Rover roam from the
pole?

Answers

The dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.

What is the Pythagoras theorem?

The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides.

We have:

Rover the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall. The other end of the leash is tied to the top of an 8-foot pole.

After drawing a right-angle triangle from the above information.

Applying Pythagoras' theorem:

60² = 6² + x²

After solving:

x = 59.69 ≈ 59.7 foot

Thus, the dog can roam 59.7 feet if the dog is on a 60-foot leash. One end of the leash is tied to Rover, who is 2 feet tall.

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A rug is in the shape of a square. It measures 18 feet on each side. What is its perimeter?

Answers

Answer:

72ft²

Step-by-step explanation:

a square has 4 equal sides, when each one is 18ft, the total perimeter will be 18×4=72ft²

Hii!

_____________________________________________________

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Answer}\circ\leftharpoonup}}[/tex]

Perimeter of the rug = 72 ft

[tex]\stackrel\star{\rightsquigarrow\circ\boldsymbol{\underbrace{Explanation}\circ\leftharpoonup}}}[/tex]

[tex]\bullet[/tex] Let's work out the perimeter

[tex]\twoheadrightarrow\sf P=4a[/tex] a=length of one side

[tex]\bullet[/tex] Stick in the values

[tex]\twoheadrightarrow\sf P=4\cdot18[/tex]

[tex]\bullet[/tex] Multiply

[tex]\twoheadrightarrow\sf P=72ft[/tex]

--

Hope that this helped! Best wishes.

[tex]\stackrel\star{\textsl{Reach far. Aim high. Dream big.}}[/tex]

--

If a participant skips hard to answer questions in a survey, it causes
A.nonadherent bias
B.sampling bias
C.response bias
D.nonresponse bias
E.researcher bias

Answers

Answer:

I think non response bias because response bias includes answering incorrectly on a survey to get it over with so that is my answer

Step-by-step explanation:

Given ZW=20. Answer the questions please. ​

Answers

a) Corresponding angles of similar figures are congruent, so [tex]\angle B \cong \boxed{\angle Z}[/tex]

b) Scale factor = (image)/(preimage). Since we are looking for ABCD to WZYX, this means that WZYX is the image and ABCD is the preimage. Thus, the scale factor is [tex]\frac{25}{10}=\boxed{5/2}[/tex]

c) Since the scale factor is 5/2,

[tex]\frac{20}{t}=\frac{5}[2}\\\\40=5t\\ \\ t=\boxed{8}[/tex]

What is the domain of the function y = StartRoot x + 6 EndRoot minus 7?

Answers

In the set of real numbers square roots are only defined for values greater than or equal to zero.
(x + 6) > = 0
x > = -6

Answer: B

Step-by-step explanation:

Edge 2023

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