This figure on the left was reflected, or flipped, over a line of reflection to create the figure on the right. Determine the location of the line of reflection.

Answer:

No... provided no other information or no graph is provided.

Step-by-step explanation:

You can find the x-coordinate of the vertex which can be calculated using the two given x-intercepts. Using the symmetry of the parabola, it would just mean the vertex should lay midway between the x's. So the x-coordinate of the vertex is (12+35)/2=47/2.

However, we do not have enough information about the relationship between x and y to find the y-coordinate of the vertex.

All we are given is y=a(x-12)(x-35) (where a is real number) since we know the relationship is quadratic, and the zeros are 12 & 35.

So we could have many possible y-coordinates for our vertex since we don't know the value of a in our equation and we can plug in our x-coordinate for our vertex to find them all.

y=a(47/2-12)(47/2-35)

I'm just going to put everything to right of a in calculator:

y=-529/4 ×a

So that's all the possible y-coordinates for the vertex.

Answer:

2x(2x-9)

Step-by-step explanation:

2x is the factor.

the answer would be d !

−5 + 11i

Answer:d

Step-by-step explanation:

the answer would be d !

−5 + 11i

Answer:

A

Step-by-step explanation:

Six hundred seventy-two thousandths = 0.672

0.672 < 0.8

Answer:

999

Step-by-step explanation:

Answer:

A: rectangle

B: still a rectangle

Step-by-step explanation:

Basically, if you cut it in half starting from the top straight down it would make it a rectangle because it can't be a square because all sides are not equal. And if you go from the far right top edge to the bottom left edge it will still be a rectangle but long.

Hope this helps love <3

Questions relating Word Problems can sometimes be resolved by taking note of the definition of given clues

The amount of soda lost is approximately 28.27 in.³

The reason the above value is correct is as follows:

The known parameters about the the soda pop served by the restaurant are;

Diameter of the cylindrical pitcher in which the soda pop is sold, D = 6 inches

The height of the cylindrical pitchers, h = 8 inches

Thickness of the head of foam in the pitchers, t = 1 inches

Required:

The amount of soda lost as a result of the head of foam

Method:

Define a pitcher

Calculate the volume occupied by the head of foam

Solution:

A pitcher holds drink and usually has a lip and handle, therefore, the drink is filled level with the pitcher

The volume occupied by the head of foam = The amount of soda lost

The volume occupied by the head of foam, [tex]\mathbf{V_{(head \ of \ foam)}}[/tex] = The volume of 1 inch height of the foam in the cylindrical pitcher

Volume in a cylinder = Base area × Height

[tex]\mathbf{Base \ area\ in \ a \ cylinder} =\dfrac{\pi \cdot D^2}{4}[/tex]

The height of the foam = The thickness of the foam = t

∴ [tex]V_{(head \ of \ foam)} =\mathbf{\dfrac{\pi \cdot D^2}{4} \times t}[/tex] =

Plugging in the values of D, and t, gives;

[tex]\mathbf{V_{(head \ of \ foam)}} =\dfrac{\pi \times (6 \ in.)^2}{4} \times 1 \ in. = \pi \mathbf{\times 9 \, in.^3}[/tex]

The volume of the head of foam, given to two decimal places is presented as follows;

[tex]V_{(head \ of \ foam)}[/tex] = π × 9 in.³ ≈ 28.27 in.³

The volume of the head of foam = The amount of soda lost ≈ 28.27 in.³

Learn more about calculating volumes in a cylinder here:

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Answer:

Q = 69.5 degrees

Step-by-step explanation:

3x + 14 + 3x - 27 = 180

6x - 13 = 180

6x = 193

x = 32.1667

Q = 3(32.1667) - 27

Q = 69.5

Answer:

10

Step-by-step explanation:

we know that y=sqrt(7), so just plug it into the expression y^2 +3. now we have (sqrt(7))^2 +3, (sqrt(x))^2=x, so (sqrt(7))^2 +3= 7+3=10

Answer:

compostion

Step-by-step explanation:

comPOSTION

Answer:

2,560

Step-by-step explanation:

necesitas sumar 4 veces 640 o multiplicar 4×640

Answer:

2.090 pounds

Step-by-step explanation:

11 dollars

23 pounds

dollars ÷ pounds = pounds per dollar

23 ÷ 11 = 2.090 pounds8

Answer:

Step-by-step explanation:

23 lbs / $11  = 2.09 lb/$

The perpendicular bisector on a line segment AB is in the attached image.

Given:

To Construct:

Solution:

A segment is a line with two ends with a specific length.

A perpendicular bisector is a line intersecting the other line segment into two equal lengtsh at an angle of 90 degrees.

Steps of construction:

The perpendicular bisector to a segment AB is in the image attached.

Learn more about: Segments and perpendicular bisectors here:

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Answer:

Step-by-step explanation:

To create a perpendicular bisector, you need a compass, a straightedge, and a pencil. As well as the line segment AB drew down.

1> You start by opening the compass and stretching it to a width greater than half the length of AB.

2> Then you simply place one point of the compass on the line segments A. From here, you move the compass and draw arcs above and below the line AB.

3> Without moving the compass measure, remove it from point A and place it onto point B. You basically repeat step 2 by drawing arcs above and below the line again.

4> If you've done it right, the arcs should be in the middle, X and Y, and using a straightedge/ruler you draw a line that goes vertically through where they connect.

and that should be your perpendicular bisector using segment AB.

Hi there!  

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I believe your answer is:  

-15

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Here’s why:  

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Hope this helps you. I apologize if it’s incorrect.  

Answer:

Step-by-step explanation:

increased means add.

5 + 2*t

Answer:

D [tex]\sqrt{43}[/tex] is the right answer

Step-by-step explanation:

I. If Number is devided by 4 or 25%

                    25% + 25% is 50%

                    50% = [tex]\frac{50}{100}[/tex] is 0.5

II. When 6 + 0.5 = 6.5

                 Use calculator the nearlest value is [tex]\sqrt{43}[/tex]

                 [tex]\sqrt{43}[/tex] = 6.557

So we'll pick D.choice

Hope that help :D

Answer:

I think c = 5,sorry if im wrong

Step-by-step explanation:

a^2 + b^2 = c^2

4^2 + 3^2 = 25 and the square root of 25 is 5

Answer:

The hypotenuse is 5 meters.

Step-by-step explanation:

According to the Pythagorean Theorem, the sum of the squares or, in this case, triangles, of the lengths of the legs of a right triangle equals the square or triangle equals the square or triangle of the hypotenuse.

A= 4m

B= 3m

4 with exponent of 2 plus 3 with exponent of 2 will help you get your answer. 4 times 4 is 16 and 3 times 3 is 9. 16 plus 9 equals to 25 and find the square root of 25 which is 5 because 5 times 5 equals to 25. I hope this helps!

Answer:  The total interest is 656.25.

Step-by-step explanation:

T = 3yrs

P = 3500

R = 6.25%

I = PTR/100

 = 3500*3*6.25/100

 = 65625/100

= 656.25

9514 1404 393

Answer:

  x = 605π/12 ≈ 158.4

Step-by-step explanation:

To eliminate the denominator under the variable, multiply both sides of the equation by that value.

  [tex]\dfrac{x}{\pi\cdot11^2}=\dfrac{15}{36}\\\\x\cdot\dfrac{\pi\cdot11^2}{\pi\cdot11^2}=\dfrac{5}{12}\cdot\pi\cdot11^2\\\\\boxed{x=\dfrac{605\pi}{12}\approx158.38863}[/tex]

Answer:

1,246,193 rounded to the nearest thousands is 1,246,000

Because the digit next to the thousands place (The hundreds place) is less that 5, it is 1 therefore you keep the digit the same in the thousands place and make the rest a 0.

Answer:

1,246,000

Step-by-step explanation:

1,246,193

The 6 is in the thousands place

We look at the hundreds place

1 is in the hundreds place,  Since it is 4 or less, we leave the thousands place alone.

1,246,000

Answer:

9

Step-by-step explanation:

since the side that was originally 2 is now six, it means that it tripled, and 3x3 is 9.

Answer:

3.75

Step-by-step explanation:

8 fl x 60 ( minutes )= 48 fl oz

48 fl oz divided by 128= 3.75 gallons.

Answer:

i dont know how to use sign

9514 1404 393

Answer:

  10,000

Step-by-step explanation:

5(9·8·7·4 -2(6 +3 -1)) = 10,000 . . . . a 5-digit even number

Answer:

6

Step-by-step explanation:

1/2 of 12

1/2×12

6

i hope this will help

Answer:

6.1 cm

Step-by-step explanation:

it depends on what your teacher told you and wants to see.

because, theoretically, it would be 6.0 cm. but that would render the whole triangle into a flat line, as the 2 equal sides together (2×6 = 12) would be exactly as long as the baseline (12) of the triangle.

which is again a theoretically possible construct (counting as extreme triangle).

but it is more likely that your teacher wants the definition applied that for each combination of 2 sides this combination has to be larger (and not larger or equal) than the third side.

so, the 2 equal sides have to be larger than 6 cm.

the smallest number in your answer options to fit that criteria is 6.1 cm

just FYI - your teacher was not very precise in the phrasing, because there are many numbers smaller than 6.1 that would still be correct.

like 6.01, or 6.005, ...

Rounded to the nearest tenth, the smallest possible length is 6.1 cm.Thus, the answer is B) 6.1 cm.

In an acute isosceles triangle, the longest side is opposite the largest angle. Since the triangle is isosceles, the two congruent sides are equal in length.

In an acute triangle, the largest angle is less than 90 degrees. In an isosceles triangle, the two base angles are congruent. Therefore, each base angle must be less than 45 degrees.

Now, let's apply the triangle inequality theorem to determine the smallest possible length of one of the congruent sides. According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

In this case, the longest side is 12 centimeters. Let's assume each of the congruent sides has a length of x centimeters.

Based on the triangle inequality theorem, we have the following inequality:

2x > 12

To find the smallest possible length, we divide both sides of the inequality by 2:

x > 6

Therefore, the smallest possible length of one of the two congruent sides is greater than 6 centimeters.

Rounded to the nearest tenth, the smallest possible length is 6.1 cm.

Thus, the answer is B) 6.1 cm.

To know more about  congruent sides , here

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