Rodney says that he can draw two rectangles that have the same areas but different perimeters.

Which of the following pairs of rectangles could Rodney draw?
Select all that apply.

LIVE
A rectangle with side lengths 4 cm and 6 cm and a rectangle with side lengths 2 cm and 12 cm

LIVE
A rectangle with side lengths 4 cm and 6 cm and a rectangle with side lengths 2 cm and 8 cm

LIVE
A rectangle with side lengths 3 cm and 6 cm and a rectangle with side lengths 2 cm and 9 cm

LIVE
A rectangle with side lengths 5 cm and 6 cm and a rectangle with side lengths 2 cm and 9 cm

LIVE
A rectangle with side lengths 5 cm and 4 cm and a rectangle with side lengths 2 cm and 7 cm

Considering the definition of axis of symmetry and vertex of a quadratic function, the correct answer is the first option: the coordinates of the vertex of the graph is (-5,41).

Quadratic function

The general form of a quadratic function is f(x  = ax²+ bx+ c, whose graph is a parabola.

Axis of symmetry and vertex of a quadratic function

Quadratic functions have a maximum (if a<0) or a minimum (if a>0). This point is the vertex of the parabola.

That is, the vertex of a quadratic equation or parabola is the highest or lowest point on the graph corresponding to that function. The vertex is in the plane of symmetry of the parabola; anything that happens to the left of this point will be an exact reflection of what happens to the right.

In other words, the vertex divides the graph into two halves that are mirror images of each other, so that the axis of symmetry always passes through the vertex.

Vertex of f(x) = −x² − 10x + 16

In this case, you know that the axis of symmetry for the function is x = −5.

So the vertex on the x-axis has a value of -5. To calculate the value of the vertex on the y-axis, you must substitute the value of the vertex on the x-axis in the function:

f(-5) = −(-5)² − 10×(-5) + 16

Solving:

f(-5)= 41

In summary, the correct answer is the first option: the coordinates of the vertex of the graph is (-5,41).

Learn more about the vertex of a quadratic function:

brainly.com/question/26146143

brainly.com/question/8952707

brainly.com/question/20158951

brainly.com/question/24314434

Answer:

a

Step-by-step explanation:

a

Step-by-step explanation:

solution for the triangle ABC

Answer:

the 1st, 2nd and 6th statements are true.

and probably the 3rd statement is true.

I am not sure about the 3rd statement, as I cannot read the original in your screenshot, and your transcribed description is probably not correct and contains typos.

but all you need is in the explanation below to decide, if the actual 3rd statement is true or not.

if "58 + 79 = 1268" actually means "5s + 7g = 1268" then it is true. otherwise it is false.

Step-by-step explanation:

g = number of general tickets sold

s = number of student tickets sold

so, in total

g + s = 234

tickets were sold.

and the revenue was

7g + 5s = $1,268

out of these 2 basic equating we get

g = 234 - s

and then

7(234 - s) + 5s = 1,268

1,638 - 7s + 5s = 1,268

-2s = -370

s = 185

g = 234 - s = 234 - 185 = 49

so, we know

185 student tickets were sold for 5×185 = $925

49 general tickets were sold for 7×49 = $343

Answer:

a 34 and 14

Step-by-step explanation:

let present age be x and y

equation 1

x-4=3(y-4)

x=3y-8

equation 2

x+6=2(y+6)

x=2y+6

then

2y+6=3y-6

y=14

x=34

Answer:

B

Step-by-step explanation:

i took the test and got a 100% so ys that the answer.

Answer:

B

Step-by-step explanation:

"lateral" means "belonging to the side".

so, the lateral area of a square pyramid (or any kind of pyramid or other 3-D structure, really) is the sum of the areas of its side faces.

so, in essence we have to calculate the area of one of the side triangles, and then multiply it by 4, as the other 3 are equal (due to the fact that the base is a square, and we are clearly dealing with a regular, symmetric pyramid).

each of the side triangles is an isoceles triangle (both legs are equal long, therefore both side angles are equal too).

that means both side angles are 60° each.

and because we know that the sum of all angles in a tingle is always 180°, the angle at the top is

180 - 60 - 60 = 60°

hey, all 3 angles are the same !

that means the triangle is not only isoceles but equilateral (all 3 sides are equally long).

and that means all sides are 18 cm long.

the area of a triangle can be calculated for our scenario in 2 major ways :

1. baseline × height / 2

2. Heron's formula (since we know all 3 sides) :

A = sqrt(s(s-a)(s-b)(s-c)), s = (a+b+c)/2

I don't know which one your teacher wants you to use.

so,

1.

the height we get via Pythagoras

leg² = (baseline/2)² + height²

18² = (18/2)² + height²

324 = 81 + height²

81×4 = 81 + height²

81×3 = height²

height = sqrt(81×3) = 9×sqrt(3)

the area of the triangle is

18 × 9 × sqrt(3) / 2 = 9 × 9 × sqrt(3) = 81×sqrt(3) cm²

2.

s = (18+18+18)/2 = 54/2 = 27

A = sqrt(27(27-18)(27-18)(27-18)) =

= sqrt(9×3×9×9×9) = 3×3×3×3×sqrt(3) = 81×sqrt(3) cm²

the total lateral area is then

4×81×sqrt(3) = 324×sqrt(3) = 561.1844617... cm²

oh, I see, i think you did not include the square root in the answer options. that is confusing.

but as you can see, option B must be correct.

Answer:

Most people use 3 or 3.14

I think you meant to say

[tex]\ln(x+y) = 4xy[/tex]

and not "4 times y" on the right side (which would lead to a complex value for y when x = 0). Note that when x = 0, the equation reduces to ln(y) = 0, so that y = 1.

Implicitly differentiating both sides with respect to x, taking y = y(x), and solving for dy/dx gives

[tex]\dfrac{1+\frac{dy}{dx}}{x+y} = 4y + 4x\dfrac{dy}{dx}[/tex]

[tex]\implies \dfrac{dy}{dx} = \dfrac{4xy+4y^2-1}{1-4x^2-4xy}[/tex]

Note that when x = 0 and y = 1, we have dy/dx = 3.

Differentiate both sides again with respect to x :

[tex]\dfrac{d^2y}{dx^2} = \dfrac{(1-4x^2-4xy)\left(4y+4x\frac{dy}{dx}+8y\frac{dy}{dx}\right)-(4xy+4y^2-1)\left(-8x-4y-4x\frac{dy}{dx}\right)}{(1-4x^2-4xy)^2}[/tex]

No need to simplify; just plug in x = 0, y = 1, and dy/dx = 3 to get

[tex]\dfrac{d^2y}{dx^2} \bigg|_{x=0} = \boxed{40}[/tex]

Answer:

(10,  20)

(25,  12)

(15,  20)

Step-by-step explanation:

Hopes this helps! :)

Answer:

the correct answers are,

(15, 16)

(25, 12)

(5, 20)

Answer:

3/8

(B)

Step-by-step explanation:

3+2+3=8.

There are 3 orange, so 3/8

Answer:

7/8

Step-by-step explanation:

3+3+2=8 but it said probability she selected AN orange marble

Thursday

Explanation:

Two days after Sunday is Tuesday

Tuesday would be the day before yesterday (Wednesday)

So today is Thursday

Answer:

The Day before the day before yesterday was two days after the day before my birthday. Today is Thursday. The following steps can be used in order to determine the day on birthday: Step 1 - Remember today is Thursday according to the given data. Step 2 - Now, the Day before the day before yesterday is Monday. Step 3 - The two days before Monday is Saturday. Step 4 - And the day of the birthday is after Saturday that is Sunday

Step-by-step explanation:

Answer:

Step-by-step explanation:

Here, I will instead go through the process for finding the probability of choosing two girls. Then once you understand how it was done, hopefully you will be able to answer the actual question for yourself.

Probability of choosing the first girl. (Note: the letter chosen to represent the event is not important. Pick something that makes sense to you and be consistent)

So the number of girls we know to be 11. What is the number of total outcomes? Well a boy or a girl can be chosen, and there are 14 boys and 11 girls, for a total of 25 students.

Let's find the probability of choosing the second girl from here.

However, this time things have changed. We've already chosen one girl, so the number of girls remaining to choose from is reduced 11 to 10. And the total number of students to choose from is reduced from 25 to 24.

Now we have the probability of choosing the first girl and the probability of choosing the second girl. From here, we just need to combine them to find the probability of both things happening together. To calculate the probability of two different events occurring, you multiply the two probabilities together.

 Probability of choosing two girls. Let's use T for Two girls.

     P(T) = P(G1) × P(G2) = (11 /25) × (10/24)

From here you can use a calculator to find the answer. This answer can either be written as a fraction, a decimal, or a percentage.

                   = 0.19     = 19 / 100      = 19%

Answer:

9

Step-by-step explanation:

Plug into Distance formula --> √(-3 - (-12))^2 + (8 - 8)^2

---> 9

Answer:

30.519 g

Step-by-step explanation:

The relation

Solving

Answer:

A

Step-by-step explanation:

writting only because answer need 20 words

Answer:

Below

Step-by-step explanation:

2x + 5 > -1

Treat the equality sign (ex. < >) as the costumary equal sign (=).

2x + 5 + (-5) > -1 + (-5)  ---- -5 will cancel out the 5 on the left

2x/2 > -6/2  ------ divide by 2 to single out the x

x > -3

Remember to draw an open dot. Draw an arrow from -3 to the extreme right.

[tex]\text{L.H.S}\\\\=\dfrac{\cot A}{1- \tan A} + \dfrac{\tan A}{1- \cot A}\\\\\\=\dfrac{\tfrac{\cos A}{\sin A}}{1- \tfrac{\sin A}{\cos A}} + \dfrac{\tfrac{\sin A}{\cos A}}{1-\tfrac{\cos A}{\sin A}}\\\\\\=\dfrac{\tfrac{\cos A}{\sin A}}{\tfrac{\cos A- \sin A}{\cos A}} + \dfrac{\tfrac{\sin A}{\cos A}}{\tfrac{\sin A - \cos A}{\sin A}}\\\\\\=\dfrac{\cos^2 A}{\sin A(\cos A-\sin A)} + \dfrac{\sin^2 A}{\cos A(\sin A - \cos A)}\\\\\\[/tex]

[tex]=\dfrac{\cos^2 A}{\sin A(\cos A-\sin A)} - \dfrac{\sin^2 A}{\cos A(\cos A - \cos A)}\\\\\\=\dfrac 1{\cos A - \sin A} \left( \dfrac{\cos^2 A}{\sin A} - \dfrac{\sin^2 A}{\cos A}\right)\\\\\\=\dfrac 1{\cos A - \sin A} \left(\dfrac{\cos^3 A - \sin^3 A}{\sin A \cos A} \right)\\\\\\=\dfrac 1{\cos A - \sin A} \left[\dfrac{(\cos A - \sin A)(\cos^2 A + \sin^2 A + \sin A \cos A)}{\sin A \cos A} \right]\\\\\\=\dfrac{\cos^2 A + \sin^2 A+\sin A \cos A}{\sin A \cos A}\\\\\\[/tex]

[tex]=\dfrac{\cos^2 A}{\sin A \cos A}+\dfrac{\sin^2 A}{\sin A \cos A}+\dfrac{\sin A \cos A}{\sin A \cos A}\\\\\\=\dfrac{\cos A}{\sin A} + \dfrac{\sin A}{\cos A} + 1\\\\\\=\cot A + \tan A + 1\\\\\\=1 + \tan A + \cot A\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]

Answer:

E. APR

I hope this is what u want because I didn't quite get it is it like name the angle as like acute or obtuse or what

Answer:

your answer is B. 8

Step-by-step explanation:

Substitute x for 8.

2(8)+10

16+10=26

Answer:

???

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Use discramint formula,

[tex] \sqrt{ {b}^{2} - 4ac} [/tex]

Here a and b is 1

c is 5 so we have

[tex] \sqrt{ {1}^{2} - 4(1)(5) } [/tex]

[tex] \sqrt{1 - 20} [/tex]

[tex] \sqrt{ - 19} [/tex]

Since the number is negative, we have zero x intercepts.

Answer:

40

Step-by-step explanation:

Answer:

$46,800,000

Step-by-step explanation:

1. Find the total number of shares that Live Fund has.  They have 24% of the total shares, which is 78,000.  To find their portion of the shares, multiply the total amount by the percent they own; 78,000 * .24.  This gives us 18720 shares.

2. Since they are selling half of their shares, divide their total number of shares by 2.  This gives us 9360.

3. Each share is worth $5000, so multiply 9360 by 5000.  This gives us a final answer of $46,800,000.

Alternatively, we could have just found half of the percent of shares that they own in step 1, so what 12% of 78,000 is instead, and multiplied by 5000.

Answer:

6   6, 7, 7

7    0, 1, 2, 4, 4, 5, 6, 7, 7, 8

8    0, 3

9    0

Step-by-step explanation:

If you don't know how to make a stem and leaf plots this how. First you will draw a T-chart then you put the first integer or 10th place number on the left and the ones place number on the right.

Answer:

X=23>45_78
X=2^3< /7= 8
Y= 8x^
comclucion :
coronita pliss

Answer:

Can you put the picture up so we can see the graph?

Answer:

D; y=125.3x2+257.8x+183.3

Step-by-step explanation:

I just took the test

have a good day! :)

The answer is C

If I am wrong, please come after me, I am not perfect