What is the slope of the line

Using proportions and multiplication, it is found that the door's height is 4 times greater than the desk's height.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The ratio between two amounts a and b is the proportion of a to b, that is, the division of a by b.

For this problem, we have that:

8/2 = 4, hence, the door's height is 4 times greater than the desk's height.

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Answer: 9699.3

Step-by-step explanation:

?

The area and the perimeter are 18x^2 + 63x and 22x + 14

The given parameters are

Length = 9x

Width = 2x + 7

The area is calculated as

Area = Length * Width

So, we have

Area = 9x * (2x + 7)

This gives

Area = 18x^2 + 63x

The perimeter is calculated as

P = 2 * (Length + Width)

So, we have

P = 2 * (9x + 2x + 7)

Evaluate

P = 22x + 14

Hence, the area and the perimeter are 18x^2 + 63x and 22x + 14

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Answer:

C

bacause the root is 82 and it's not that far

The value of c is 4.

Here, we are given an equation

2c - 12c + 13c = 12

Since, all the terms on the left hand side have a c in them, we can take it common outside the bracket as follows-

c (2 - 12 + 13) = 12

or c (2 + 13 - 12) = 12

Firstly, we add the positive terms in the bracket which will give us

c (15 -12) = 12

Now, we subtract 12 from 15 to get

c (3) = 12

or 3c = 12

Dividing by 3 on both sides we get

c = 12/3

c = 4

Thus, the value of c is 4.

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Your question was incomplete. Find the full content below-

Solve for c.

2c-12c+13c=12

Answer:

7=37

Step-by-step explanation:

no solution problem

Hence , the number of pencil's each math class get 1500 .

Let the number of pencil's each math class have be "x".

It is given that one middle school have 4 math classes and  other three middle school have e 6 math classes .

Then number of pencil's 4 math classes get = 4x

The number of pencil's 6 math classes get = 6x

Total number of pencil's = 15,000

According to question

           4x + 6x = 15000

               10x =  15000

                 x =  15000/10

                 x = 1500

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Answer:

I'm not sure, but what I got as my answer was c= -a/4 + 11/4 + b

Step-by-step explanation:

The function which results from the reflection of the given function; f(x) = 3^x is; f(x) = 3^(-x).

It follows from the task content that the function given is; f(x) = 3^x.

The function in discuss is reflected across the y-axis, hence, it follows from transformation rules that the resulting function involves multiplying x by -1 as follows;

f(x) = 3^(-1×x)

f(x) = 3^(-x).

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Answer:

(n ÷ 4) + 6 = 8

Step-by-step explanation:

Quotient means The answer when you divide' So we are working in the division.

n ÷ 4 is the division part

It says 'and' which can also mean addition. So we add 6. So far our equation is: (n ÷ 4) + 6 (Brackets are needed as we are dividing n by 4 and not dividing n by 4+6)

Lastly it says the answer must be 8 so we add that at the end. So the answer is:

(n ÷ 4) + 6 = 8

The roster form of the given sets will be S = { 1, 2, 3, 4, 5, 6, 7, 8, 9}, S = { blue, red, green } and S = { Math, Science, English, Hindi, SST, Computer }.

We are given some sets in descriptive form.

We have to write it in the roster form.

The roster method is defined as a way to show the elements of a set by listing the elements inside of brackets.

1 ) The set of all counting numbers less than 10.

Roster form will be:

S = { 1, 2, 3, 4, 5, 6, 7, 8, 9}

2) The set of primary colors.

Roster form will be:

S = { blue, red, green }

3 ) The set of all subjects in grade 7 level:

Roster form will be:

S = { Math, Science, English, Hindi, SST, Computer }

Therefore, the roster form of the given sets will be S = { 1, 2, 3, 4, 5, 6, 7, 8, 9}, S = { blue, red, green } and S = { Math, Science, English, Hindi, SST, Computer }.

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Answer: 10

Step-by-step explanation:

The value of C is 10, because if 50° was in half, it would been 10 and 5.

Answer:

  2x +3y = -27

Step-by-step explanation:

You want an equation for a line parallel to 2x +3y = 5 and through the point (-3, -7).

A parallel line will have the same slope as the given line, but will have different intercepts. In the standard-form equation given, that means the coefficients of the variables will be the same, but the constant will be different.

To make the constant appropriate for the given point, we use the (x, y) values of the given point to find it:

  2x +3y = c

  2(-3) +3(-7) = c = -6 -21 = -27

The desired equation is ...

  2x +3y = -27

a) The slope of the line is 6 / 7.

b) The point-slope form of the equation of the line is y - 2 = (6 / 7) · (x - 4).

c) The slope-intercept form of the equation of the line is y = (6 / 7) · x - 17 / 7.

d) The point-slope form of the equation of the line is - 6 · x + 7 · y + 17 = 0.

There are three different forms of the equation of the line:

Point-slope

y - y' = m · (x - x')                     (1)

Slope-intercept

y = m · x + k                             (2)

Standard

a · x + b · x + c = 0                   (3)

Where:

a) The slope that passes through the two given points is found by secant line formula:

m = [8 - 2] / [11 - 4]

m = 6 / 7

b) The point-slope form of the equation of the line is:

y - 2 = (6 / 7) · (x - 4)

c) The slope-intercept form of the equation of the line is:

y - 2 = (6 / 7) · x - 24 / 7

y = (6 / 7) · x - 17 / 7

d) The standard form of the equation of the line is:

7 · y = 6 · x - 17

- 6 · x + 7 · y + 17 = 0

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It will take 24 cones to fill the cylinder.

so you have a cylinder and you have a cone. The radius of the base of the cylinder is 10cm And its height is 20 cm. A cone is used to fill the cylinder with water. The cone's base, the radius of the cone space. Okay good. Is five centimeters And his height is 10 cm. The number of times one needs to use the cone to completely fill the cylinder of water. So let's find the volume. The volume of a cylinder is the area of the base times the height. So this is pi r squared times the height. I'm going to leave it in units of pie. So r squared is 100, 100 times 20 is 2000. So this is 2000 bye. The volume of a cone is 1/3 area of the base times the height Which is 1 3rd pi R squared. H. So Ah this is not going to be an even number, but that's fine. Five times five is 25, 25 times 10 is 250. So this volume is 250 over three pi And we need to know how many cones give us a cylinder. So we have 250 over three pi times the number of cones Will give us 2000 pi. So pi is on both sides. It cancels which is why I left it in units of pie. Multiply 3 to both sides. So this is 250 and is equal to 6000 6000 divided by 250 is 24. So it will take 24 cones to fill the cylinder

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Answer:

223.5 in²

Step-by-step explanation:

The surface area of a triangular pyramid comprises:

Area of a triangle

[tex]\sf A=\dfrac{1}{2}bh[/tex]

where:

From inspection of the diagram:

[tex]\begin{aligned}\implies \textsf{Area of the base triangle} & = \sf \dfrac{1}{2} \cdot 10 \cdot 8.7\\& = \sf 5 \cdot 8.7\\& =\sf 43.5\:in^2\end{aligned}[/tex]

[tex]\begin{aligned}\implies \textsf{Area of a side triangle} & = \sf \dfrac{1}{2} \cdot 10 \cdot 12\\& = \sf 5 \cdot 12\\& =\sf 60\:in^2\end{aligned}[/tex]

[tex]\begin{aligned}\implies \textsf{S.A. of the triangular pyramid} & = \textsf{base triangle}+\textsf{3 side triangles}\\& = \sf 43.5 + 3(60)\\& = \sf 43.5 + 180\\& = \sf 223.5\:in^2\end{aligned}[/tex]

Therefore, the surface area of the given triangular pyramid is 223.5 in².

The length of PD is 6 units given that he coordinate of P is -7 and the coordinate of D is -1.

We are given that the coordinate of point P is - 7 and the coordinate of point D is - 1

We need to find the distance between the point P and point D.

The length of PD is the distance between point P and point D which will be calculated as:

PD = | P + D |

Substituting the values, we get that:

PD = | - 7 + - 1 |

PD = | - 6 |

PD = 6 units.

Therefore, the length of PD is 6 units given that he coordinate of P is -7 and the coordinate of D is -1.

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The classification within the real number system that describes all numbers in the set -1, 1, 0, 14/2, square root 25 is; Rational Numbers

Real numbers can be defined as the union of both rational and irrational numbers.

Rational numbers are numbers that can be represented by fractions, such as exact roots and repeating decimals.

Irrational numbers cannot be represented by fractions, such as non-repeating decimals and non-exact roots.

Now;

-1 is a rational number

1 is a rational number

14/2 is a rational number

The square root of 25 is equal to 5 as 25 is a perfect square of 5. Hence, as 5 is an integer and can be expressed in the form of p/q root, then we say that 25 is rational number

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The exercise target rate according to the Rate of change is 162.5.

According to the statement

We have to find that the target rate of the exercise.

So, For this purpose, we know that the

Rate of change is used to mathematically describe the percentage change in value over a defined period of time

From the given information:

Alyssas resting heart rate is 50 beats per minute. Her target exercise rate is 325% of her resting rate.

then

The exercise target rate  = 325% of 50 beats.

Then

The exercise target rate  = 325/100*50

The exercise target rate  = 3.25*50

The exercise target rate  = 162.5.

So, The exercise target rate according to the Rate of change is 162.5.

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Answer:

17 + 2m

Step-by-step explanation:

Sum means 'The answer to a Addition equation' So it must be adding ( + )

Twice Matts score can be written in many ways but the simplest being 2m (2 x m) Or you could write m + m

Add 17 so therefore the answer must be:

17+2m

OR

17 + m + m

The region represented by the inequality in vertex form is the inequality in the last option y ≥ -(x - 50)² + 625.

Let's assume that the equation is y = a(x - h)² + k

y = a(x - 50)² + 625

Put the point (61,504) in the equation

⇒ 504 = a(61 - 50)² + 625

⇒ 504 = a(11)² + 625

⇒ 504 = 121a + 625

⇒ 121a = -625 + 504

⇒ 121a = -121

⇒ a = -1

y = -(x - 50)² + 625

Hence the inequality is  y ≥ -(x - 50)² + 625.

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Answer:

x= -2y+3

Step-by-step explanation:

First move the variable to the right: 3x= 9-6y

Next divide both sides of the equation by 3: x=3-2y

Lastly reorder the numbers, the variable should be placed first: x= -2y+3

Answer:

Step-by-step explanation:

Using measures of variability, it is found that:

a. The situations with constant measures involve constant distributions, such as the number of snow days in Miami each year.

b. The situations with different measures involve constant distributions, such as the number of snow days in Buffalo each year.

There are three measures of variability in a data-set: the range, the standard deviation and the variance.

The range is given by the difference between the maximum value and the minimum value of a data-set.

The standard deviation and the variance are described as follows:

Uniform(constants) data-sets will have similar measures. One example is the number of snow days in Miami each year, which is always of 0, hence the three measures will be of 0.

More disperse data-set will have different measures. Taking the city of Buffalo, in New York, as an example. On average, it should have 40 days of snow each winter, but on colder winters it can have 60 and warmer winters it can have 20. Hence the distribution with the number of snow days in Buffalo over a period of 20 years will have different range, standard deviation and variances.

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The equation of teh second line is y = -1/3x + 5/3

The first equation is given as

y = -1/3x + 14

The slope of the above equation is

m = -1/3

Parallel lines have equal slope

So, the slope of the other line is

m = -1/3

The equation is then calculated as

y = m(x - x1) + y1

So, we have

y = -1/3(x + 7) + 4

Expand

y = -1/3x - 7/3 + 4

Evaluate

y = -1/3x + 5/3

Hence, the equation of teh second line is y = -1/3x + 5/3

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According to the model, Leo's initial deposit was $0

The model is given as

a = 18t + 5

When he makes his initial deposit, the value of t is

t = 0

i.e. this represents his balance before he starts saving on a weekly basis

Substitute 0 for t in the equation a = 18t + 5

So, we have

a = 18 * 0 + 5

Evaluate

a = 5

Hence, Leo's initial deposit was $0

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Answer:

³√729 = 9

Step-by-step explanation:

The given information is,

→ ³√729

Prime factorization of 729 is,

→ 3 × 3 × 3 × 3 × 3 × 3

We know that,

→ ³√27 = 3

Let's solve the problem,

→ ³√729

→ ³√{(3 × 3 × 3) × (3 × 3 × 3)}

→ ³√(27 × 27)

→ 3 × 3 = 9

Hence, the answer is 9.

1) a + b = ?

→ (9i − 4j + 3k) + (6i − 9k)

→ 15i - 4j - 6k

2) 9a + 3b = ?

→ 9(9i − 4j + 3k) + 3(6i − 9k)

→ (81i - 36j + 27k) + (18i - 27k)

→ 99i - 36j

3) |a| = ?

→ |9i − 4j + 3k|

→ 9i + 4j + 3k

4) |a − b| = ?

→ |(9i − 4j + 3k) - (6i − 9k)|

→ |3i - 4j + 12k|

→ 3i + 4j + 12k

Answer:

[tex]a+b=15i-4j-6k[/tex]

[tex]9a+3b=99i-36j[/tex]

[tex]|a| = 9i+4j+3k[/tex]

[tex]|a-b| = 3i+4j+12k[/tex]

Step-by-step explanation:

Given:

[tex]\begin{cases}a = 9i-4j+3k\\b=6i-9k\end{cases}[/tex]

[tex]\begin{aligned}a+b & = (9i-4j+3k)+(6i-9k)\\& = 9i-4j+3k+6i-9k\\& = 9i+6i-4j+3k-9k\\& = 15i-4j-6k\\\end{aligned}[/tex]

[tex]\begin{aligned}9a+3b & = 9(9i-4j+3k) + 3(6i-9k)\\& = 81i-36j+27k+ 18i-27k\\& = 81i+ 18i-36j+27k-27k\\& = 99i-36j\end{aligned}[/tex]

[tex]\begin{aligned}|a| & = |9i-4j+3k|\\& = 9i+4j+3k\end{aligned}[/tex]

[tex]\begin{aligned}|a-b| & = |(9i-4j+3k)-(6i-9k)|\\& = |9i-4j+3k-6i+9k|\\& = |9i-6i-4j+3k+9k|\\& = |3i-4j+12k|\\& = 3i+4j+12k\end{aligned}[/tex]

Answer:

119 R5

divide divide divide divide

The answer is

.119 R 12.........................................