the perimeter of an equilateral triangle is givn as 15x+30. write two different expressions to represent the perimeter. use factoring to write one of the expressions

Answer:

Max value for t is -1 and minimum value for t is -5

Step-by-step explanation:

Make two inequalities in regards to absolute value and solve both for t:

t+3<=2 and t+3>=-2

t<=-1     and   t>=-5

The compound inequality would be -1>=t>=-5

Solving the absolute value inequality, it is found that:

-----------------

[tex]-a \leq f(x) \leq a[/tex]

In this problem, the inequality is:

[tex]|t + 3| \leq 2[/tex]

Thus, the solution is:

[tex]-2 \leq t + 3 \leq 2[/tex]

[tex]-2 \leq t + 3[/tex]

[tex]t + 3 \geq -2[/tex]

[tex]t \geq -5[/tex]

[tex]t + 3 \leq 2[/tex]

[tex]t \leq -1[/tex]

Then:

A similar problem is given at https://brainly.com/question/24005819

Answer:

20 ft.

Step-by-step explanation:

There are two different (yet similar) ways to solve this problem:

a. Pythagorean theorem

b. Pythagorean triplet recognition

With option "a", you set it up:

12² + 16² = x²

144 + 256 = x²

400 = x²

x = 20

But, the arguably "easier" way to find out the distance is to use the Pythagorean's triplet recognition.

We know that the most common right triangle is the 3-4-5 right triangle.

If you take the three side lengths, and multiple them by the same thing, those are the sides to another right triangle.

ex. 3-4-5  *   5

15-20-25 are the sides of another right triangle!

This also means that if you have a triangle that has the sides 15, 20, and 25, you immediately know it's a right triangle.

When we look at 12 and 16, we know they are the legs of the triangle.

We also know that if we multiply 4 times 3 and 4, it will equal 12 and 16.

So what's 5 times 4? 20!

Final answer:

To find how far the bird will fly to the top of the tree, we use the Pythagorean Theorem. By squaring the height of the tree and the distance from the bird to the tree, we find that the hypotenuse, or the distance the bird will fly, is 20 feet.

Explanation:

The question asks about the distance a bird will fly from the ground to the top of a tree, which involves the application of the Pythagorean Theorem to solve for the hypotenuse of a right triangle. The tree's height (12 feet) represents one leg of the right triangle, and the distance from the bird to the tree (16 feet) represents the other leg. To find the distance the bird flies (the hypotenuse), we use the equation:

a² + b² = c²

Where ‘a’ and ‘b’ are the lengths of the legs, and ‘c’ is the length of the hypotenuse. Now we can calculate it:

12² + 16² = c²

144 + 256 = c²

400 = c²

[tex]\sqrt{400}[/tex] = c

20 feet = c

Therefore, the bird will fly 20 feet to reach the top of the oak tree.

The system of linear equations represented on the graph has infinitely many solutions.

To determine the number of solutions for the system of linear equations, we can start by solving the equations. We can solve the first equation for y to get y = x + 2. We can substitute this expression for y into the second equation and then solve for x. By substituting y = x + 2 into -3x + 3y = 6, we get -3x + 3(x + 2) = 6. Simplifying this equation gives us -3x + 3x + 6 = 6, which simplifies further to 6 = 6. This equation is always true, which means there are infinitely many solutions for the system of linear equations. The two equations represent the same line, and any point on this line is a solution to the system.

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Answer:

a slice is made perpendicular to the base through the vertex: triangle

slice is made perpendicular to the base and not through the vertex: trapezoid

Step-by-step explanation:

a slice is made perpendicular to the base through the vertex: triangle

slice is made perpendicular to the base and not through the vertex: trapezoid

Answer:

Sample response/explanation: The figure is a square pyramid. A slice made perpendicular to the base and through the vertex creates a cross section with the shape of a triangle. A slice made perpendicular to the base and not through the vertex is a trapezoid.

Step-by-step explanation:

Edge 2020 happy new year

Answer:

-1

Explanation:

Find components of the definition.

[tex]f(x+h)=-h-x+1\\f(x)=-x+1[/tex]

Plug in components

[tex]\frac{f(x+h)-f(x)}{h} = \frac{-h-x+1-(-x+1)}{h}[/tex]

Simplify.

-1

Step-by-step explanation:

ratio

peanuts to cashews is 5:2

so

5:2

175:?

175/5 is 35

so both side times by 35

35 X 2 is 70 cashews

Answer:

There would be 70 cashews if there are 175 peanuts.

Answer: 55

Step-by-step explanation:

8w - s , give w= 8 and s = 9

Substitute w and s in the equation with the values

8 (8) - 9

8 x 8 - 9

Apply BODMAS

64 - 9= 55

I hope this helps.

Answer:

The answer is D

Step-by-step explanation:

Answer: 8, option D is correct

Step-by-step explanation:

In solving this problem, bear in mind that negative and negative gives positive as a mathematical rule, therefore, for this question, - ÷ - will give +

-96 ÷ -12

= 8

I hope this helps.

Answer:

190 square inch

Step-by-step explanation:

Area of the partial circle = 1/2 pi r^2

Pi = 3.14

Radius r = 11 inch

Area = 1/2 x 3.14 x (11)^2

= 1/2 x 3.14 x 11 x 11

Multiply through

= 3.14 x 11 x 11 /2

= 379.94/2

= 189.97

= 190 square inch

Answer:

8 hours

Step-by-step explanation:

you divide the miles by the miles per hour

120/15

8

Answer:

8 hours

Step-by-step explanation:

We know that

distance = rate * time

120 miles = 15 miles per hour * time

Divide each side by 15

120/15 = 15/15 *t

8 = t

It will take 8 hours

Answer:

What are the quadrants? if the quadrants are c,d,e, and f then it would be c and d because both of the numbers lie on a y complex.

Step-by-step explanation:

⭐ Answered by Kash ʕ •㉨• ʔ⭐  

⭐ Brainliest would be appreciated!⭐  

⭐ If you have questions, leave a comment, I'm happy to help! ⭐

[tex]\bf \textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r = 2\\ h = 9 \end{cases}\implies V=\cfrac{\pi (2)^2(9)}{3}\implies V=12\pi \implies V\approx 37.7[/tex]

Answer:

Step-by-step explanation:

Given that,

Slope of line is 8

m=8

And we are given two points where the line pass through

(x1,y1) = (9,v). ; x1=9, y1=v

(x2,y2)= (8,2). ; x2=8, y2=2

The slope of a line is given as

m=∆y/∆x

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

8=(2-v)/(8-9)

8=(2-v)/(-1)

Cross multiply

8×-1=2-v

-8=2-v

Subtract 2 from both sides

-8-2=2-v-2

-10=-v

Divide both sides by -1

-10/-1=-v/-1

Note, -÷-=+

10=v

Then v=10

We can write this as an expression:

[tex]\frac{2-v}{8-9}=8[/tex] → [tex]\frac{2-v}{-1}=8[/tex]

Now, lets solve for v.

[tex]\frac{2-v}{-1}=8[/tex]

~Multiply -1 to both sides

[tex]\frac{2-v}{-1}[/tex] * -1 = 8 * -1

~Simplify

2 - v = -8

~Subtract 2 to both sides

2 - 2 - v = -8 - 2

~Simplify

-v = -10

~Divide -1 to both sides

-v/-1 = -10/-1

~Simplify

v = 10

Best of Luck!

Answer:

x = 2 is incorrect

Step-by-step explanation:

The answer should be 3 instead of 4

The area quadrupled. If the original square's perimeter is 20, each side length must be 5. The new square has double the perimeter, so it's 40. This means each side of the new square must be 10.

The formula for area in a square is base x height.

Square 1 area: 5x5 = 25

Square 2 area: 10x10 = 100

100/25 is 4, so the original square's area is 4 times smaller than the new square.

Answer:

[tex]\large \boxed{y = (x - 5)^{2} + 2 }[/tex]

Step-by-step explanation:

y = x² - 10x + 27

y = ax² + bx + c

This is the general form of the equation for a parabola.

We must convert it to the vertex form

y = (x - h)² + k, where (h,k) are the coordinates of the vertex.

We can do this by completing the square.

[tex]\begin{array}{rcll}y & = & x^{2} - 10x + 27 & \\y - 27 & = & x^{2} - 10x & \text{Subtracted 27 from each side}\\y - 27&= & x^{2} - 10x + 25 - 25 & \text{Added and subtracted (b/2)}^{2}\\y - 27&= & (x - 5)^{2} - 25 & \text{Wrote the first three terms as the square of a binomial}\\y& = & \mathbf{(x - 5)^{2} + 2} & \text{Added 27 to each side}\\\end{array}\\\text{The vertex form of the parabola is $\large \boxed{\mathbf{y = (x - 5)^{2} + 2 }}$}[/tex]The figure below shows that your parabola has its vertex at (5,2).

Answer:

-x + 6

Step-by-step explanation:

(3x + 2) + (-4x + 4)

Distribute + into the bracket (-4x + 4). When you do so, + sign becomes -

3x + 2 - 4x + 4

Rearrange the expression

3x - 4x + 2 + 4

-x + 6

Answer:

it is D

Step-by-step explanation: it just is i did it on usa test prep

Answer:

14

Step-by-step explanation:

Step 1:  Plug in 2 for x

4(2) + 3(2)

8 + 6

14

Answer: 14

Answer:

14

Step-by-step explanation:

[tex]4(2) + 3(2)[/tex]

[tex]8 + 6[/tex]

[tex]14[/tex]

Answer:

[tex]f(x) = 2^{-x}[/tex]

Step-by-step explanation:

The transformation is a reflection across the y-axis

A reflection across the y-axis is produced by putting a negative sign in front of the x.

B. Probability of long sleeve female is zero.

C. Probability of rolled-up male is 1/4.

Step-by-step explanation:

A. The table from the picture :

             Long Sleeves    Short Sleeves    Rolled-up Sleeves

Male           3                          0                          2

Female      0                           3                          0

B. The probability that the student selected will be a female with long sleeves :

From the table,

It is determined that no female are with long sleeve.

So, the probability of choosing female with long sleeve is 0.

C. The probability that the student selected will be a male with rolled-up sleeves :

From the table,

The number of males with rolled-up sleeves = 2

Total number of students = 8

P(rolled-up male) = 2/8 = 1/4.

The probability of selecting a female with long sleeves is 0, and the probability of selecting a male with rolled-up sleeves is 1/4.

Let's first complete the table...

1. Long Sleeves:

2. Short Sleeves:

3. Rolled-up Sleeves:

Probability Calculations

Total number of students = 3 (Male, Long Sleeves) + 0 (Female, Long Sleeves) + 0 (Male, Short Sleeves) + 3 (Female, Short Sleeves) + 2 (Male, Rolled-up Sleeves) + 0 (Female, Rolled-up Sleeves) = 8.

Probability of Selecting a Female with Long Sleeves

P(Female with Long Sleeves) = Number of Females with Long Sleeves / Total Students = 0/8 = 0.

Probability of Selecting a Male with Rolled-up Sleeves

P(Male with Rolled-up Sleeves) = Number of Males with Rolled-up Sleeves / Total Students = 2/8 = 1/4.

Therefore, the probability of selecting a female with long sleeves is 0, and the probability of selecting a male with rolled-up sleeves is 1/4.

Complete question: Each of the college students shown below has been chosen to represent their club on campus. One of the students will be selected at random to attend a special dinner with the president of the college.

Enter all fractions in reduced form.

A. Use the picture to complete the following table.

                   Long Sleeves     Short Sleeves    Rolled-up Sleeves

Male                     3                           0                                2

Female                 0                          3                               0

B. What is the probability that the student selected will be a female with long sleeves?

C. What is the probability that the student selected will be a male with rolled-up sleeves?

Answer: 15%

Step-by-step explanation:

the percent is equal to (large double Cheeseburgers/total burgers) * 100

finding values

num of large double cheeseburgers in the table = 60

total burgers by adding all the values up = 68+77+45+98+52+60 = 400

calculating percent

so the percent is (60 / 400) * 100 = 15%

try using photo math

I hope it helps

To find the dimensions of the actual floor of the new building, multiply the dimensions of the model by the scale factor. The volume of the new building is found by multiplying the dimensions of the actual floor by the height. The surface area is calculated by summing the areas of all six faces of the rectangular prism.

To find the dimensions of the actual floor, we need to multiply the dimensions of the model by the scale factor. Let's assume the dimensions of the model floor are length = 10 meters and width = 5 meters. Since the architect plans for the building to be 144 times the dimensions of the model, the length of the actual floor would be 10 x 144 = 1440 meters and the width would be 5 x 144 = 720 meters.

The volume of a rectangular prism (the building) can be calculated by multiplying its length, width, and height. Assuming the height is 3 meters, the volume of the new building would be 1440 x 720 x 3 = 2,073,600 cubic meters.

The surface area of the new building can be calculated by summing the areas of all six faces of the rectangular prism. The formula for surface area is 2*(length x width + width x height + height x length). Using the dimensions from before, the surface area would be 2*(1440 x 720 + 720 x 3 + 3 x 1440) = 2,394,240 square meters.

Answer:

False

Step-by-step explanation:

If you do a = 6, then you get 6 > 6 which is not true. 6 isn't greater than itself.

Answer:

False

Step-by-step explanation:

Your inequality shows that a is greater than 6, thus meaning can not equal 6.

While Game 1 offers a steady 200 points per score, Game 2's point doubling system will eventually surpass Game 1's linear growth, leading to higher earnings in Game 2 over time.

To decide in which game you will earn more points, let's consider the point growth in both games. In Game 1, you receive a constant 200 points every time you score. This represents a linear growth.

However, in Game 2, your points double every time you score, starting from 2 points (2, 4, 8, 16, and so on).

When comparing linear growth to exponential growth, exponential growth will eventually outpace linear growth. Initially, Game 1 will give you more points (as 200 is greater than 2, 4, 8).

However, after a certain number of scores, Game 2 will start to give you more points per score. Once you've doubled a few times, the number of points you earn in Game 2 will surpass the constant 200 points reward of Game 1.

Approximately 67% there are 6 numbers and 4 of them are even So you have to divide 100 and 6 then multiply the answer by 4

Answer:219

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    x-6-(3)=0

Step by step solution :

Step  1  :

Solving a Single Variable Equation :

1.1      Solve  :    x-9 = 0

Add  9  to both sides of the equation :

x=9

brainly pleasse :)

Answer:

x = 9

Step-by-step explanation:

x - 6 = 3

Add 6 to both sides

x - 6 + 6 = 3 + 6

x = 9

I hope this was helpful, please mark as brainliest

To find the percentage shaded on the grid, count the number of shaded squares and divide it by the total number of squares.

To find the percentage shaded on the grid, we need to count the number of shaded squares and divide it by the total number of squares. Based on the given information, we have:

Since the question asks us to find the percentage shaded, the correct answer would depend on the specific grid or diagram being referred to. Without additional context or information, it is not possible to give a single definitive answer.