find the slope of the line that passes through the ordered pairs (3,5) and (-3,-5)

Answer:

9

Step-by-step explanation:

You don't need to pass through each edge once.

If we name the top vertex 1 and the bottom vertex 2 then here are the possible combinations:

A-1-B

A-B

A-2-B

A-1-B-A-2-B

A-2-B-A-1-B

A-B-1-A-2-B

A-B-2-A-1-B

A-1-B-2-A-B

A-2-B-1-A-B

Some people say 6 because they think you need to pass through all the edges. But the only restriction with travelling on the edges is you can't pass one twice. The point is read the wording and it becomes easy.

Hope this helps!

Answer:

first is a function second third ad fourth arent function

Step-by-step explanation:

In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The collection of values that could result in a function's outputs is known as the co-domain.

Given:

As, we know the relation is said to be a function if we have distinct inputs.

If the inputs are repeated then it is not a function.

So, {(3, 2),(6, 4),(9, 6),(12, 8)} is a function.

Also, {(2, 3),(2, 5),(3, 6),(9, 4)} is not a function.

{(2, 4),(6, 3),(4, 8),(6, 6)} is not a function.

{(3, 4),(5, 2),(6, 8),(6, 4)} is not a function.

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Answer:

\((\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{15}\)

Step-by-step explanation:

Given

\((\frac{6}{10})^3 * (\frac{5}{9})^2\)

Required

Solve:

\((\frac{6}{10})^3 * (\frac{5}{9})^2\)

Simplify 6/10

\((\frac{6}{10})^3 * (\frac{5}{9})^2 = (\frac{3}{5})^3 * (\frac{5}{9})^2\)

Express 9 as 3^2

\((\frac{6}{10})^3 * (\frac{5}{9})^2 = (\frac{3}{5})^3 * (\frac{5}{3^2})^2\)

Apply law of indices

\((\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3}{5^3}* \frac{5^2}{(3^2)^2}\)

\((\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3}{5^3}* \frac{5^2}{3^4}\)

Express as a sing;e fraction

\((\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{3^3*5^2}{5^3*3^4}\)

Apply law of indices:

\((\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5^{3-2}*3^{4-3}}\)

\((\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5^1*3^1}\)

\((\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{5*3}\)

\((\frac{6}{10})^3 * (\frac{5}{9})^2 = \frac{1}{15}\)

The number of possible selections of the five donuts is; 21

The ample supply contains;

Since he wants to select 5 donuts, the orders could be;

Strawberry = 4, Chocolate = 1, Caramel = 0

or

Strawberry = 4, Chocolate = 0, Caramel = 1

or

Strawberry = 3, Chocolate = 2, Caramel = 0

e.t.c

Now, to solve this, Each option for Jamie is represented by an imaginary picture of five donuts (circles) and two bars (shelf separators).

Thus, the number of ways to select two spaces from 7 is;

7!/(5! × 2!) = 21

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1. When we simplify sec² x + tan² xsec² x, the result obtained is sec⁴x

2. When we simplify (sec² x - 1) / sin² x, the result obtained is sec² x

3. When we simplify (1/sec² x) + (1/csc² x), the result obtained is 1

4. When we simplify (sec x / sin x) - (sin x / cos x), the result obtained is cot x

5. When we simplify (1 + sin x)(1 - sin x), the result obtained is cos² x

6.  When we simplify cos x + sin xtan x, the result obtained is sec x

We can simplify the trig identities as follow:

1. Simplification of sec² x + tan² xsec² x

sec² x + tan² xsec² x = sec² x(1 + tan² x)

Recall

sec² x = 1 + tan² x

Thus,

sec² x(1 + tan² x) = sec² x × sec² x

sec² x(1 + tan² x) = sec⁴x

Therefore, the simplified is written as

sec² x + tan² xsec² x = sec⁴x

2. Simplification of (sec² x - 1) / sin² x

(sec² x - 1) / sin² x

Recall,

sec² x - 1 = tan² x

Thus,

(sec² x - 1) / sin² x = tan² x / sin² x

Recall

tan² x = sin² x / cos² x

Thus,

tan² x / sin² x = (sin² x / cos² x) / sin² x

tan² x / sin² x = 1/ cos² x

Recall

1/ cos² x = sec² x

Therefore, the simplified expression is written as:

(sec² x - 1) / sin² x = sec² x

3. Simplification of (1/sec² x) + (1/csc² x)

(1/sec² x) + (1/csc² x)

Recall

sec² x = 1/cos² x

Thus,

cos² x = 1/sec² x

Also,

csc² x = 1/sin² x

Thus,

sin² x = 1/csc² x

Therefore, we have

(1/sec² x) + (1/csc² x) = cos² x + sin² x

Recall

cos² x + sin² x = 1

Thus, the simplified expression of (1/sec² x) + (1/csc² x) is:

(1/sec² x) + (1/csc² x)  = 1

4. Simplification of (sec x / sin x) - (sin x / cos x)

(sec x / sin x) - (sin x / cos x) = (sec xcos x - sinx sinx) / sinx cos x

Recall

sec x = 1/cos x

sinx sinx = sin² x

Thus,

(sec x / sin x) - (sin x / cos x) = [(cos x/cos x) - sin² x] / sinx cos x

(sec x / sin x) - (sin x / cos x) = [1 - sin² x] / sinx cos x

Recall

1  - sin² x = cos² x

Thus, we have

[1 - sin² x] / sinx cos x = [cos² x] / sinx cos x

[1 - sin² x] / sinx cos x = cos x / sin x

Recall

cos x / sin x = cot x

Thus, the simplified expression of (sec x / sin x) - (sin x / cos x) is:

(sec x / sin x) - (sin x / cos x) = cot x

5. Simplification of (1 + sin x)(1 - sin x)

(1 + sin x)(1 - sin x)

Clear bracket

1 - sin x + sin x - sin² x

1 - sin² x

Recall

1 - sin² x = cos² x

Thus, we have

(1 + sin x)(1 - sin x) = cos² x

6. Simplification of cos x + sin xtan x

cos x + sin xtan x

Recall

tan x = sin x / cos x

cos x + sin xtan x = cos x + sin x (sin x / cos x)

cos x + sin xtan x = cos x + (sin² x / cos x)

cos x + sin xtan x = (cos² x + sin² x) / cos x

Recall

cos² x + sin² x = 1

cos x + sin xtan x = 1 / cos x

1/cos x = sec x

Thus,

cos x + sin xtan x = sec x

The simplified expression of cos x + sin xtan x is sec x

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Answer:

10 to the power 2 is the correct answer

Explanation:

10 to power 2= 10X10

10x10=100

hope this helps!

pls mark me as the brainliest!

have a great day ahead!

Answer:

Step-by-step explanation:

100

= 10 × 10

(Since 10 is multiplied 2 times so it will have a power of 2)

\( = {10}^{2} \)

Answer:

0 hundreds

0 tens

7 ones

.

4 tenths

0 hundredths

8 thousandths

Standard form=7.408

Step-by-step explanation:

Lets first solve (7x1)+(4x1/10)+(8x1/1000)

7+0.4+0.008

Simplify:

7.408

A perfect square is a number that is result of another number squared.

The perfect square number needs to be an integer number. Therefore, its square root also needs to be an integer number.

Since all integer numbers are rational numbers, so the answer is yes, the square root of a perfect square is always a rational number.

Answer:

Step-by-step explanation:

The text is a statistics problem that asks to find the probability of a certain range of values in a normal distribution. A normal distribution is a bell-shaped curve that shows how data values are spread around the mean. The mean is the average of all the data values, and the standard deviation is a measure of how much the data values vary from the mean. To solve this problem, we can use the following steps:

Convert the given range of values to standard scores or z-scores. A z-score tells us how many standard deviations a value is away from the mean. To find the z-score, we use the formula: z=σx−μ​

where x is the value, μ is the mean, and σ is the standard deviation. For example, to find the z-score for 33.5 psi, we plug in the values: z=233.5−35​=−0.75

This means that 33.5 psi is 0.75 standard deviations below the mean. Similarly, to find the z-score for 36 psi, we plug in the values: z=236−35​=0.5

This means that 36 psi is 0.5 standard deviations above the mean.

Use a z-table to find the area under the curve for each z-score. A z-table is a table that shows the probability of getting a z-score less than or equal to a given value. For example, to find the area under the curve for -0.75, we look up the row for -0.7 and the column for 0.05 in the z-table and get 0.2266. This means that there is a 22.66% chance of getting a z-score less than or equal to -0.75. Similarly, to find the area under the curve for 0.5, we look up the row for 0.5 and the column for 0 in the z-table and get 0.6915. This means that there is a 69.15% chance of getting a z-score less than or equal to 0.5.

Subtract the smaller area from the larger area to find the area between the two z-scores. This area represents the probability of getting a value between 33.5 and 36 psi in the normal distribution. For example, to find the area between -0.75 and 0.5, we subtract: 0.6915−0.2266=0.4649

This means that there is a 46.49% chance of getting a value between 33.5 and 36 psi in the normal distribution.

Multiply the area by 100 to convert it to a percentage and write it with the appropriate units: The percentage of tires that are inflated to a pressure between 33.5 and 36 psi is 0.4649×100=46.49%

Given:

Seven times the smaller  of two consecutive even  integers  is the same as  -300 minus 4 times the  larger integer.

To find:

The integers .

Solution:

Let the smaller even integer be x.

So, larger even integer is x+2 because they are consecutive even  integers.

Seven times the smaller  integer = 7x

-300 minus 4 times the  larger integer = -300-4(x+2)

Now,

\(7x=-300-4(x+2)\)

\(7x=-300-4x-8\)

\(7x+4x=-308\)

\(11x=-308\)

Divide both sides by 11.

\(x=\dfrac{-308}{11}\)

\(x=-28\)

So, the smaller even integer is -28.

\(x+2=-28+2=-26\)

So, the larger even integer is -26.

The value of function which cross the y-axis at point (0, 7) will be;

⇒ y = x + 7

To find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The point which cross the function = (0, 7)

Now,

Since, The point which cross the function = (0, 7)

Hence, The point must be satisfy the function.

By option (1);

⇒ y = x + 7

Put (x, y) = (0, 7)

⇒ 7 = 0 + 7

⇒ 7 = 7

Thus, The correct function which passes through the point (0, 7) is,

⇒ y = x + 7

Option (i) is true.

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The perimeter of the rectangular table is 52m.

What are the rectangle's area and perimeter?

When calculating a rectangle's area, we multiply the length by the width of the rectangle. In essence, the area of a rectangle is equal to the sum of its length and breadth. The perimeter of a shape is the space surrounding it. Space inside a shape is measured by area.

Area of rectangular table = length * breadth

Here, length of the table = 3x+2

width of the table = 9

Area of rectangular table = 153m

(3x+2) * 9 = 153

3x + 2 = 153/9

3x = 17 -2

x = 15/3

x = 5

Now, the length of the table = 3x+2

= 3*5 + 2

= 15+2

= 17m

Perimeter of the rectangle = 2(length+width)

= 2(17+9)

= 2(26)

= 52m

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Answer:

4a

Step-by-step explanation:

Given:

Standard form and expanded notation

Find-:

The number shown in standard form and expanded notation

Explanation-:

The standard form is

Standard form = The standard form is

For example, is

The expanded form is

The expanded = Expanded form is a way to write a number by adding the value of its digits. We can use a place value chart to determine the value of a number's digits.

For example

Step-by-step explanation:

1st one is x>-16

second one is x<-16

here

in second option

x/-4 > 4

or, -x/4>4

or, -x>16

this is incorrect cause how can a negative number possibly be greater than a positive number

so we trun it to

x<-16

niw

last option is x>16

The triangle has 3 sides of different sides.

We can graph this as:

Answer:

x<(-10)

I hope it will be useful.

Step-by-step explanation:

2x > 3x + 10

Answer:

<A= right

<B= acute

<C= obtuse

<D= acute

Step-by-step explanation:

Answer:

STo solve for m in the equation -319.45 = m, we can isolate the variable m by adding 319.45 to both sides of the equation:

-319.45 + 319.45 = m + 319.45

This simplifies to:

0 = m + 319.45

Finally, we can subtract 319.45 from both sides to solve for m:

0 - 319.45 = m + 319.45 - 319.45

-319.45 = m

Therefore, the value of m is -319.45.tep-by-step explanation:

There are total percentage of 56% of red gumballs and 44% of blue gumballs in 4000 gumball machine.

Percentage is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.

Given,

Total gumballs in the machine = 4000

Red gumballs in the machine = 2240

Blue gumballs in the machine = 1760

Percentage of each gumballs,

Percentage of red gumballs,

Value/Total × 100%

2240/4000 × 100

0.56 × 100

56%

Percentage of blue gumballs,

1760/4000 × 100%

0.44 × 100%

44%

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Area of rectangular prism: Base x Height.

so 3x1/3x2/5=0.4 0r 2/5

Answer:

the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.

Step-by-step explanation:

o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").

Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:

m = -12% / 100 = -0.12

The y intercept of the line passes through the point (32, 22) and (48, 17) is 32

An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.

The standard form of a linear equation is:

Ax + By = C

Where A, B and C are constants

The slope intercept form of a linear equation is:

y = mx + b

Where m is the slope and b is the y intercept

The slope of the line passing through points (x₁, y₁) and (x₂, y₂) is:

m = (y₂ - y₁) / (x₂ - x₁)

The table shows that the line passes through the point (32, 22) and (48, 17). Hence:

\(y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-22=\frac{17-22}{48-32} (x-32)\\\\y=-\frac{5}{16}x+32\)

The y intercept is 32

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Answer:

The y intercept of the line passes through the point (32, 22) and (48, 17) is 32

Answer: Y=4 x+-2

Step-by-step explanation:

9514 1404 393

Answer:

  y = 2x +4

Step-by-step explanation:

The slope-intercept form of the equation of a line is ...

  y = mx + b

where m represents the slope (rise/run), and b represents the y-intercept.

Here, the line increases by 2 units (rise=2) for each increase of 1 unit in the x-direction (run=1). Then the slope is ...

  m = rise/run = 2/1 = 2

The graph crosses the y-axis at y=4, so the y-intercept value is ...

  b = 4

Putting these values into the above slope-intercept form, we have ...

  y = 2x + 4

The sum that Mahesh borrowed was Rs. 22,800, the interest that Mahesh has to pay was Rs. 6,492, the interest that Rakesh has to pay was Rs. 7,550, and the percentage by which Rakesh pays more interest than Mahesh was 16.3%.

a) Sum borrowed by Mahesh

Let us suppose that the principal sum borrowed by Mahesh from the bank at 9% per annum is Rs. x.

Hence, we can write that

Simple Interest = (P × R × T )/ 100

= (x × 9 × 3)/100

= 27x/100

Therefore, the amount that Mahesh has to pay after 3 years, including the interest, is

A = P + SI

= x + 27x/100

= 127x/100

Again, Mahesh invests the same amount of Rs. x to Rakesh at 10% per annum, which is compounded annually, for three years.

Hence, the total amount after three years that Rakesh has to pay Mahesh is:

Amount after 3 years = x (1 + R/100)³

= x (1 + 10/100)³ = 1.331 x

Therefore, Mahesh made a profit of Rs. 7,550 by investing Rs. x at 10% per annum, compounded annually, for three years.

Hence, we can write that

Compound Interest = Amount - Principal

CI = 1.331x - x = 0.331x

Therefore, 0.331x = Rs. 7,550=>

x = Rs. 22,800

Thus, Mahesh borrowed Rs. 22,800 from the bank.

b) Interest that Mahesh has to pay

Interest = P × R × T/100

= Rs. 22,800 × 9 × 3/100 = Rs. 6,492

Therefore, Mahesh has to pay Rs. 6,492 as interest.

c) Interest that Rakesh has to pay

The total amount that Rakesh has to pay to Mahesh is Rs. 30,350 [= (22,800 + 7,550)].

Therefore, interest that Rakesh has to pay = Total Amount - Principal

= Rs. 30,350 - Rs. 22,800 = Rs. 7,550

Therefore, Rakesh has to pay Rs. 7,550 as interest.

d) Percentage by which Rakesh pays more interest than Mahesh

Let us calculate the percentage difference between the interest paid by Rakesh and the interest paid by Mahesh.

Thus, the percentage difference can be calculated as

% Difference = (|Interest paid by Rakesh - Interest paid by Mahesh|/ Interest paid by Mahesh) × 100

% Difference = (|7,550 - 6,492|/6,492) × 100

% Difference = 16.3%

Therefore, Rakesh pays more interest than Mahesh by 16.3%.

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Answer:

25% reduced

Step-by-step explanation:

45/60= .75

1-.75=.25