A square with side lengths of 4 units is translated on
the coordinate plane. One vertex of the image is at (2,
1).
Which ordered pair could represent another vertex of
the image?

Mary needs to put in 1 cup more to make casserole.

What is algebraic operations?

Any of the common arithmetic operations, such as addition, subtraction, multiplication, division, raising to a whole number power, and taking roots, are considered basic algebraic operations in mathematics (fractional power). These procedures could be applied to numerical data, in which case they are frequently referred to as arithmetic operations. Similar operations can be carried out on variables, algebraic expressions, and, more generally, on components of algebraic structures like groups and fields. Another way to describe an algebraic operation is as a function from the Cartesian power of a set to the same set.

Given that, to make casserole marry needs 5 cups of rice.

She already put 4 cups.

Need to find the number of cup of rice that is need to put.

To find that use subtraction operation.

The number of cups that needs is (5 - 4) = 1 cup

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Rearrange unknown terms to the left side of the equation

                   \(\boldsymbol{\sf{ 9x > 50.4-9 \ \ \longmapsto \ \ \ [Subtract]}}\)

Calculate the sum or difference.

                                  \(\boldsymbol{\sf{9x > 41.4 }}\)

Convert decimal to fraction.

                                    \(\boldsymbol{\sf{9x > \dfrac{414}{10} }}\)

Reduce the greatest common factor for both sides of the inequality.

                                    \(\boldsymbol{\sf{x > \dfrac{46}{10} }}\)

Reduce the fraction

                         \(\red{ \boxed{\boldsymbol{\sf{\blue{ Answer \ \ \longmapsto \ \ x > \dfrac{23}{5} }}}}}\)

Hello!

Let's solve this inequality for x:

\(\begin{aligned} \sf{\Box\!\!\!\!\!\star{9x+9 > 50.4}\\\sf{9x > 41.4}\\\sf{x > 4.6} \end{aligned}\)

Therefore \(\bold{x > 4.6}\).

Hope that helps! :)

-art lover

Answer:

4 better explanation inbox

Step-by-step explanation:

Answer:

Everything except for -8+(-1) is correct

Step-by-step explanation:

So the expressions that show the distance are

8-1

-1-(-8)

|-8|-|-1|

Answer:172 cm²

Step-by-step explanation:

when we use the formula, and we can  solve out is like 172.05 and round to tenth and will have the answer

Formula is 1/2 × p × a  

Answer:

$783.46

Step-by-step explanation:

Compounded interest rate (quarterly) formula: A = P(1 + r/4)^4t

Simply plug in our known variables and solve:

910 = P(1 + 0.015/4)^4(10)

910 = P(1.00375)^40

910 = 1.16151P

P = 783.464

Answer: 783

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use of formula:

According to above and based on given:

No, the trapezoids are not similar because their corresponding angles do not have the same measures.

The given trapezoids ABCD and EFGH can be analyzed to determine if they are similar. Similarity in geometric figures implies that their corresponding angles are congruent, and their corresponding sides are proportional.

Let's examine the angles of the trapezoids:

In trapezoid ABCD:

Angle A = 137 degrees

Angle B = 90 degrees

Angle C = 90 degrees

Angle D = 43 degrees

In trapezoid EFGH:

Angle E = 136 degrees

Angle F = 90 degrees

Angle G = 90 degrees

Angle H = 44 degrees

By comparing the angles, we can observe that angles B and F are both right angles (90 degrees) in both trapezoids. Additionally, angles C and G are also right angles (90 degrees) in both trapezoids.

However, angles A and E, as well as angles D and H, do not have the same measures. Angle A measures 137 degrees in trapezoid ABCD, while angle E measures 136 degrees in trapezoid EFGH. Similarly, angle D measures 43 degrees in trapezoid ABCD, while angle H measures 44 degrees in trapezoid EFGH.

Since the corresponding angles in the two trapezoids do not have the same measures, we can conclude that trapezoids ABCD and EFGH are not similar.

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We can use points (-1,12), (0,10) and (1,12) to find the quadratic equation. First, we will work with the formula:

With the three points mentioned above, we make the proper substitution:

So, we have the following system of equations:

Now, substitute c=10 on the other equations to get the following:

solving by elimination we get the value for 'a':

we have that a=2 and c=10. We can now find the value for b:

Now that we have that a=2,b=0 and c=10, we can write the quadratic function:

therefore, the quadratic function in standard form is y=2x^2+10

Answer:3.8

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

Answer:

16 hours is the right answer

Answer:

  x = 36

Step-by-step explanation:

Given a tangent segment of length 24, and a secant segment from the same point with an external length of 12 and a total length of (12+x), you want to find the value of x.

The product of lengths from the common point to the two intersections with the circle are the same for both segments. In the case of the tangent, the two intersections with the circle are the same point, so the square of the length is used.

  24² = 12(12 +x)

  2·24 = 12 +x . . . . . . . divide by 12

  36 = x . . . . . . . . . subtract 12

<95141404393>

What is the simplified form of the expression square root of -64

we have

Remember that

64=2^6

and

i^2=-1

substitute

I recommend use of simple random sampling to determine the three possible toppings to be used for the vegetarian pizza.

It is a sampling technique in which each member of the population has an equal chance of being selected for the sample. Here, the population would be students who regularly eat at the school cafeteria.

By using the sampling, we make sure that each student has an equal chance of being selected to taste test the different pizza toppings. This will help to eliminate bias and provide a representative sample of the population's preferences. They will provide feedback which will be used to determine which topping should be used for the vegetarian pizza.

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With Combination, There are the 98280 ways by which we place books on the shelf.

According to the statement

We have to find that the number of ways can by which place books on the shelf.

So, For this purpose, we know that the

A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter.

From the given information:

The library has 28 science fiction books. Each shelf holds 5 books

Then

apply the combination,

Then

C(n,r) = C(28,5)

after solving it become

C(28,5) = 28! /(5!(28-5)!)

And

C(28,5) = 28! /(5!(23)!)

Then after rearranging the terms and solving the value becomes

C(28,5) = 98280.

So, With Combination, There are the 98280 ways by which we place books on the shelf.

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Answer:

15 units²

Step-by-step explanation:

ΔABC is a right triangle with:

Area of a triangle = 1/2 x base x height

⇒ area = 1/2 x AB x AC

Use the distance formula to find the lengths:

\(\sf distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

(where \(\sf (x_1,y_1) \ and \ (x_2,y_2)\) are the endpoints)

\(\sf AB=\sqrt{(2-4)^2+(-2-2)^2}=2\sqrt{5}\)

\(\sf AC=\sqrt{(-2-4)^2+(5-2)^2}=3 \sqrt{5}\)

\(\sf \implies area=\dfrac12 \times 2\sqrt{5} \times 3\sqrt{5} =15 \ units^2\)

The length of the arc of the circle subtended by the angle is option (b) 5π/3 meters.

Arc length is the length of a portion of the circumference of a circle. It is the distance along the curved line that makes up the circle's boundary, measured in linear units

The length of the arc of a circle subtended by a central angle can be found using the formula

arc length = (central angle / 360°) × 2πr

where r is the radius of the circle.

Substituting the given values, we get

arc length = (150° / 360°) × 2π(2 meters)

arc length = (5/12) × 2π(2 meters)

arc length = (5/3)π meters

Therefore, the correct option is (b) (5/3)π meters

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Answer:

12 cups

Step-by-step explanation:

21:7=3 i mean that's kinda it

3x4=12

Therefore , the solution of the given problem of unitary method comes out to be Stacy's Bake Shop sells cupcakes for less than The Best Cake Shop does according to the idea of unit pricing.

Use the tried-and-true fundamental methodology, the real variables, and any useful information you learn from the general and specific questions to complete the assignment. Customers may be given another chance to taste the products in expression response. If these improvements don't happen, we'll lose out on significant advancements in programming comprehension.

Here,

Due to the idea of unit pricing, Stacy's Bake Shop sells cupcakes for less money than The Best Cake Shop.

In order to compare products with varying quantities or sizes, unit pricing, also known as price per unit, is used.

In this instance, Stacy's Bake Shop charges $21 for a dozen cupcakes, hence the price per cupcake is calculated as

=>  $21 /12, or $1.75 per cupcake.

On the other hand, The Best Cake Shop charges $12 for a half-dozen cupcakes; this indicates that each cupcake costs $2, or $12 divided by six.

As a result, Stacy's Bake Shop charges $1.75 less each cupcake than The Best Cake Shop, which charges $2.

As a result, Stacy's Bake Shop sells cupcakes for less than The Best Cake Shop does according to the idea of unit pricing.

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The system of inequalities having the given feasible regions and points at (-5, 0), and (0, 5), and (-2, -9), (-5, 0), and (1, 0) is the option;

y > x² + 4•x - 5

y > x + 5

The coordinates of the given points on the linear inequality are;

(-5, 0), and (0, 5)

Slope, m, of the linear inequality is therefore;

m = (5 - 0)/(0 - (-5)) = 1

The equation of the inequality is therefore;

y - 0 > 1•(x - (-5)) = x + 5

Which gives;

Quadratic Inequality;

The coordinates of the points on the quadratic inequality are;

Vertex point = (-2, -9)

x-intercept = (-5, 0), and (1, 0)

Therefore, we have;

y > (x + 5)•(x - 1) = x² + 4•x - 5

The correct option is therefore;

y > x² + 4•x - 5

y > x + 5

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Answer:

y > x2 + 4x – 5

y > x + 5

Step-by-step explanation:

If you put this system into desmos you will see that it matches the photo shown in the question, and it would need to be both greater than symbols because the dotted lines indicate that it is not included in the solution.

The coordinate of the intersection is (5.5, 1) and point D is (6, 7)

The coordinate of the intersection is the midpoint of point A and C

So, we have

Intersection = 1/2 * (-4 + 15, 3 - 1)

So, we have

Intersection = (5.5, 1)

To do this, we make use of the midpoint equation

The midpoint of AC is the same as that of BD

So, we have

1/2 * (5 + x, -5 + y) = (5.5, 1)

This gives

(5 + x, -5 + y) = (11, 2)

So, we have

x = 6 and y = 7

This gives

D = (6, 7)

Hence, the point is (6, 7)

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Answer:

32760

Step-by-step explanation:

15!/(15-4)!=32760

Since order matters in the group of four officers we are choosing, we have to use permutations. This scenario is (15P4) because we have 15 people for 4 spots. Apply the formula for permutations.

The different ways are 32760 possible.

The different arrangements which can be made out of a given number of objects by taking out some or all at a time are called permutations.

We are given club of fifteen people. we need to pick a president, treasurer, and secretary from the fifteen.

This scenario is (15P4) because, we have 15 people for 4 spots.

= 15!/(15-4)!

=32760

Since the order matters in the group of four officers we are choosing, thus we have to use permutations.

The different ways are 32760 possible.

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Answer:

sin θ/2 = ± √2/13

Step-by-step explanation:

tan θ = - 12/5       (in quadrant 4)      sin θ = - 12/13   and   cos θ = 5/13

sin θ/2 = ± (√1 - cos θ) / 2 = ± (√1 - 5/13) / 2 = ± √8/13 / 2 = ± √2/13

tan θ/2 = (1 - cos θ) / sin θ = sin θ / (1 + cos θ)

Let you to calculate the tan θ/2 part by yourself

Answer:

  8

Step-by-step explanation:

You want to know the measure of segment XY if ∆XYZ ≅ ∆MNL and MN = 8.

Segment XY is named using the first two vertices listed in the name of ∆XYZ. That means the segment is the same length as the one named by the first two vertices listed in the name of congruent ∆MNL, segment MN.

Segment MN is given as 8 units long. Segment XY is congruent, so is also 8 units long.

  XY = 8 units

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Answer:

a) 31 pupils

b)18

Step-by-step explanation:

you should create a Venn diagram to represent your information.Then after putting your information in correctly. For a) you'll add all the numbers in the Venn diagram including 2, which is outside the Venn diagram,then you'll get 29.. Subtract 29 from 50

I hope this helps

Answer:

160

Step-by-step explanation:

\({\huge{\fbox{\tt{\blue{ANSWER}}}}}\)

______________________________________

The probability of answering a single problem correctly by randomly guessing is 1/4, since there are 4 answer choices and only one correct answer. Since the student randomly guessed the answer to both problems, the probability of answering both problems correctly is:

(1/4) x (1/4) = 1/16

Therefore, the probability that the student answered both problems correctly is 1/16.

There is only 1 possible 11-card hand that can be formed from a 20-card deck.

To determine the number of 11-card hands possible with a 20-card deck, we can use the concept of combinations.

The number of combinations, denoted as "nCk," represents the number of ways to choose k items from a set of n items without regard to the order. In this case, we want to find the number of 11-card hands from a 20-card deck.

The formula for combinations is:

nCk = n! / (k!(n-k)!)

Where "!" denotes the factorial of a number.

Substituting the values into the formula:

20C11 = 20! / (11!(20-11)!)

Simplifying further:

20C11 = 20! / (11! * 9!)

Now, let's calculate the factorial values:

20! = 20 * 19 * 18 * ... * 2 * 1

11! = 11 * 10 * 9 * ... * 2 * 1

9! = 9 * 8 * 7 * ... * 2 * 1

By canceling out common terms in the numerator and denominator, we get:

20C11 = (20 * 19 * 18 * ... * 12) / (11 * 10 * 9 * ... * 2 * 1)

Performing the multiplication:

20C11 = 39,916,800 / 39,916,800

Finally, the result simplifies to:

20C11 = 1

Consequently, with a 20-card deck, there is only one potential 11-card hand.

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