5. (8.51) What is the equation of the line shown?
HELP PLEASE!!

The area should be 47.5 CM.

Answer:

Step-by-step explanation:

The figure you see here is a trapezoid.

Area = \(\frac{(a + b)h}{2}\) = \(\frac{(6 + 13)(5)}{2}\) = \(\frac{(19)(5)}{2}\) = \(\frac{95}{2}\) = 47.5 cm

an = a + (n - 1)d

= 8 + 2(n - 1)

HOPE IT HELPS ..

The fill in the blanks (that uses division) can be filled as -1.2(\((\frac{2}{5} )\) ÷ -2, -0.48÷-2 and 0.24.

According to the question,

We have the following information:

-1.2 \((\frac{2}{5} )\) ÷ -2

Now, we have to solve this problem and fill the blanks at the same time.

Now, the first step would be to write the question.

So, for the first blank we have:

-1.2 \((\frac{2}{5} )\) ÷ -2

Now, the required number is (2/5).

Now, the next step is to multiply -1.2 with 2/5:

-2.4/5

-0.48

So, the second blank can be filled by -0.48.

Now, the third step would be to divide -0.48 by -2:

-0.48÷-2

0.24

So, the next blank can be filled by 0.24.

Hence, the numbers in the blanks are \(\frac{2}{5}\), -0.48 and 0.24 respectively.

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"difference of squares" formula

can be proved going backwards

multiply the answer on the right side of the equal to see if you get the left side of the equal sign

by using the distributive property of multiplication over addition to expand the right-hand side of the equation, as follows:

(a + b)(a - b) = a(a - b) + b(a - b) = a^2 - ab + ab - b^2 = a^2 - b^2

let x = 8

let y = 5

8^2-5^2=(8-5)(8+5)

64-25 = 39

(8-5)(8+5) = (3)(13) = 39

chatgpt

Answer:

If you mean 6 / 7215 it is 0.00083

but if you meant 7215 / 6 it is 1202.5

Step-by-step explanation:

Answer:

\(\frac{8}{x}\)

Step-by-step explanation:

what is the sum 3/x+9+5/x-9

\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\)     (add \(\frac{3}{x}\) and \(\frac{5}{x}\))

\(\frac{8}{x} + 9 - 9 =\)            (solve 9 - 9 = 0)

\(\frac{8}{x}\)                           ( your answer)

Answer:

Step-by-step explanation:

hello :

the arc length formula is : s = 2πr(θ/360°)

given : s = 4m , r = 13m

2(3.14)(13)(θ/360°)=4 solve for : θ

θ =(4)(360°) /2(3.14)(13)

θ = 1440/81.64

θ =17.7°

Answer:

4/13 rad

Step-by-step explanation:

correct

The zeros and the multiplicities are

from the question, we have the following parameters that can be used in our computation:

f(x) = (x + 6)³(x - 11)²(x - 6)(x + 5)³

The power of each factor are the multiplicities

So, we have

Zero(s) of multiplicity one:

x - 6 = 0

Zero(s) of multiplicity two:

x - 11 = 0

Zero(s) of multiplicity three:

x + 6 = 0 and x + 5 = 0

When evaluated, we have

Zero(s) of multiplicity one:

x = 6

Zero(s) of multiplicity two:

x = 11

Zero(s) of multiplicity three:

x = -6 and x = -5

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The angle from the options given that is shown in the drawing is: D. <LIJ.

An angle is a geometric figure that is formed by two rays that share the same endpoint, called the vertex. The rays are called the sides of the angle, and the endpoint is called the vertex.

In the drawing given,  IJ and LI are two segments that have a common endpoint called vertex I.

Points L, I, and J forms an angle whose vertex is at I, as shown in the image given. Thus, the angle shown in the drawing is: D. ∠LIJ.

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Solution

- In order to solve the question, we simply need to follow the logic of the payment and then generalize with a formula that can help us find how much the fund will be for any number of years.

- 1st year: He pledges 14% of 718,000

This implies that the fund has increased to

- 2nd year: He pledges 14% of 718,000 + (14% of 718,000).

This implies that the fund has increased to

There are countless possibilities for shapes that are similar but not congruent to shape 1, as long as they maintain the same proportions and shape.

There are many shapes that are similar but not congruent to shape 1. Similar shapes have the same shape, but their sizes may be different. In contrast, congruent shapes have the same shape and size.

One example of a similar shape to shape 1 is a rectangle that is twice as long and half as wide. Another example could be a square that is three times larger in area than shape 1.

A parallelogram that has the same base as shape 1 but is three times as tall is also similar but not congruent.

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Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Answer:

d = 3.2

Step-by-step explanation:

1 * 3.2 = 3.2

Hence,

d = 3.2

Answer:

its c

Step-by-step explanation:

Answer:

The file contains the solution to the question

The lowest common denominator of 3/8 and 3/5 is 40.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

3/8 and 3/5

LCD means the lowest common denominator.

So,

8 x 5 = 40

5 x 8 = 40

Thus,

The lowest common denominator of 3/8 and 3/5 is 40.

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Answer:

households

Step-by-step explanation:

An observational units are defined as the entity for which the information is received and the statistics are compiled of in the process of collecting the statistical data. It is also known as the statistical unit.

In the context, National Retail Federation is conducting a survey asking various households how much they are planning to spend on the memorial day. So the observational units in this study are the household because the information are collected on the basis of each household going to spend on the Memorial day.  

The observational units in this will be households.

An observational unit is defined as the entity for which the data is received and the statistics are collected in the process of collecting the statistical data. It is also known as the statistical unit.

In this context, National Retail Federation is executing a survey asking various households how much they are planning to spend on memorial day.

So the observational units in this study are the household because the information is gathered on the basis of each household going to expend on Memorial day.  

Thus the observational units in this will be households.

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Answer:

the mean weight is 22 tonnes

Step-by-step explanation:

mean=total sum/number of numbers you added

in this case the question already gave you the total so just divide right away

mean weight= 330/15 = 22 tonnes

Answer:

times the nimbers

Step-by-step explanation:

240

A 3rd degree polynomial function with real coefficients satisfying the given condition. 2 and -3 +3i are zeros; leading coefficients is 1, is:

f(x) = x³ + 4x² + 6x - 36

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

A polynomial function is one that uses only non-negative integer powers or positive number coefficients of such a variables in such an expression like the quadratic function, cubic equation, and so on.

we have to find third degree polynomial, so, n = 3

Since 2 is its zero ,so, x - 2 is its factor

As complex zeros occur in conjugate pairs .

So,other factors are (x + (3 + 3i)) and (x + (3 - 3i)) ,

Firstly, we find the product of these two factors:

= x² + 6x + 9 - 9i²

= x² +6x +9 - 9(-1)

= (x² +6x + 18)

Now multiply (x² +6x + 18) with (x - 2) we get f(x):

= (x² +6x + 18) (x - 2)

= x³ - 2x² + 6x² - 12x + 18x - 36

= x³ + 4x² + 6x - 36

Correct option: b

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The order of the group generated by a and b under matrix multiplication is a^2b^3.

Start with the identity matrix:

I = [1 0 ; 0 1]

Multiply it by a:

a*I = [1 1; 0 1]

Multiply it by b:

b*a*I = [1 2; 0 1]

Multiply it by a:

a*b*a*I = [2 3; 0 1]

Multiply it by b:

b*a*b*a*I = [2 5; 0 1]

Multiply it by a:

a*b*a*b*a*I = [4 3; 0 1]

Therefore, the order of the group generated by a and b is a^2b^3.

The order of the group generated by a and b under matrix multiplication is a^2b^3.

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Answer:

The probability is 0.33

Step-by-step explanation:

Please find the attachment for detail

Answer:

y = -3/2x - 9/2

Step-by-step explanation:

The general form of a line in slope-intecept form is given by:

y = mx + c

where: m = slope, c = intercept.

from the graph, slope is calculated as:

m = (-3 - 0)/(-1 -(-3))

m = -3/2

To obtain c, choose any value of x, and corresponding y value.

we choose: (-3, 0)

using y = mx + c

0 = -3/2(-3) + c

simplify

c = -9/2

Therefore, y = -3/2x - 9/2

Answer:

Total pictures = 84+12 = 96

roll of films = 96 / 24 = 4

she used 4 rolls

Rounded to the nearest hundredth, the value of y at \(x = 7\) is approximately \(12.78\), according to the concept of linear regression line.

To find the linear regression line for the given data, we can use statistical software or a calculator. The equation of the linear regression line is of the form \(y = mx + b\), where m represents the slope and b represents the y-intercept.

Using the provided data, the linear regression line equation is:

\(\[ y = 1.3642x + 3.2324 \]\)

To find the value of \(y\) at \(x = 7\), we substitute \(x = 7\) into the equation:

\(\[ y = 1.3642(7) + 3.2324 \]\)

Simplifying the equation, we get:

\(\[ y = 9.5494 + 3.2324 \]\[ y = 12.7818 \]\)

In conclusion, the linear regression analysis allows us to determine the relationship between the variables x and y in the given data set. By finding the equation of the linear regression line, we can estimate the value of y for any given x. In this case, the linear regression line equation is \(y = 1.3642x + 3.2324\). By substituting \(x = 7\) into the equation, we find that the estimated value of y is approximately \(12.78\). This analysis provides a useful tool for predicting and understanding the relationship between variables, allowing us to make informed decisions and interpretations based on the data.

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The total price for 2 suits and 6 dresses is  £57.75

What is price of two suits?

The price of two suits is the sum of the normal price for the first suit and the  half the normal price for the second suit

Price of two suits=£12.50+(1/2*£12.50)

Price of two suits=£12.50+£6.25

Price of two suits=£18.75

What is 6 dresses ?

The price of 6 dresses is  twice the price of 2 dresses, I mean since three dresses are priced at the price of two dresses, it means 6 dresses are priced at the price of four dresses

price of 6 dresses=£9.75*4

price of 6 dresses=£39.00

Price of total price for 2 suits and 6 dresses=£18.75+£39.00

Price of total price for 2 suits and 6 dresses= £57.75

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We have the next polynomial

And we must identify the degree and the leading coefficient

In order to identify them we must use that:

1.

In this case, the degree is 7.

2.

In this case the leading term is 4w^7. We can see that its coefficient is 4.

So, the leading coefficient is 4.

ANSWER:

Degree: 7

Leading coefficient: 4

Part (a)

Answer: Constant of proportionality = 5/8

Reason:

The general template equation is y = kx where k is the constant of proportionality. It is the slope of the line.

The direct proportion line must pass through the origin. In other words, the y intercept must be zero.

=====================================

Part (b)

Answer: Not Proportional

Reason:

The y intercept isn't zero.

Plug x = 0 into the equation to find y = 1 is the y intercept. This graph does not pass through the origin.