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Triangle ABC is shown in the coordinate plane. It is translated 6 units left and 4 units down. Then it is dilated by a scale factor of 3 centered about the
origin. Complete the statements.
-6 -4
v.
6
4-
2-
lo
-2-
-4-
-6-
The translation of triangle ABC
A
2
с
6
B
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The dilation of triangle ABC
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Answer:

It is true that in algebra minus symbol represent two things

Step-by-step explanation:

And it is true that it depend on where it placed such as

8-2 this minus indicate the substraction of two terms

-3 this show that the number has negative quantity

The expression which gives the number of months passed in terms of p is √300 -0.5p

We make t the subject of the formula in the expression

p = 600 - 2t²

subtract 600 from both sides in other to isolate 2t²

p - 600 = 600 - 2t² - 600

p - 600 = -2t²

Rearrange the equation

2t² = 600 - p

Divide both sides by 2 in other to isolate t²

2t²/2 = 600/2 - p/2

t² = 300 - 0.5p

Take the Square root of both sides in other to isolate t

√t² = √300 - 0.5p

t = √300 - 0.5p

Hence, the correct expression which gives the number of months t in terms of price p is t = √300 - 0.5p

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The sum of the measures of the exterior angles of a convex 21-gon is 360°.

Given,

Convex 21- gon

Polygon is a plane figure with a finite number of straight line segments.

Convex polygons are those in which none of their interior angles are greater than 180°.

Now,

The sum of exterior angles of any regular polygon is 360°.

Hence,

The sum of the measures of the exterior angles of a convex 21-gon is 360°.

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Step-by-step explanation:

1) the 1-st prism is cube. Then its surface area can be calculated as:

A=5*5*6=150 [ft²];

2) A=[Perimeter of triange]*height+2*[Area_of_triangle];

according to the formula above height=3; Perimeter of triangle=9+12+15=36; Area of triangle=12*9*0.5=54;

Finally, A=36*3+2*54=108+108=216 [cm²].

Answer:

{0.0853,0.1531}

Step-by-step explanation:

[tex]\displaystyle CI=\hat{p}\pm z\sqrt{\frac{\hat{p}\bigr(1-\hat{p}\bigr)}{n}}[/tex]

[tex]\displaystyle CI_{98\%}=\frac{59}{495}\pm2.326\sqrt{\frac{\frac{59}{495}\bigr(1-\frac{59}{495}\bigr)}{495}}\approx\{0.0853,0.1531\}[/tex]

The height of the trapezoid is approximately 13.043 mm.

To find the height of a trapezoid, you can use the formula:

Area = 1/2 * (base1 + base2) * height

Given:

Area = 150 square millimeters

base1 = 7 mm , w

base2 = 16 mm

150 = 1/2 * (7 + 16) * height

150 =1/2 * 23 * height

Make height the subject of the formula

300 = 23 * height

height = 300 / 23

height = 13.043 mm (rounded to three decimal places)

Therefore, the height of the trapezoid is approximately 13.043 mm.

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Answer:

The Pythagorean Theorem describes the relationship among the three sides of a right triangle

[tex]a^{2} +b^{2} = c^{2} \\8^2+13^2=c^2=208 \\\sqrt{208}=14.4\\ 14.4 \neq 18[/tex]--> not a right triangle

Answer: 4th one is the correct one

Step-by-step explanation:

Answer:

Step-by-step explanation:

x²-5x+29=8x-6

x²-13x+35=0

[tex]x=\frac{13 \pm\sqrt{(-13)^2-4(1)(35)} }{2(1)} \\x=\frac{13 \pm\sqrt{169-140} }{2} \\x=\frac{13 \pm\sqrt{29} }{2}[/tex]

Answer:

y is 0,3

Step-by-step explanation:

To find the x-intercept, substitute in

0

for

y

and solve for

x

. To find the y-intercept, substitute in

0

for

x

Answer:

(0,3)

Step-by-step explanation:

Two methods:

Method 1:  General method for any equation

Method 2: Method specific for parabolas in standard form

Method 1:  General method for any equation

For any two-variable equation to be graphed, the y-intercept is the point where the graph crosses the y-axis.  The y-axis is a vertical line through the origin (0,0).

Any y-intercept is on that line, and to get to that point starting from the origin, one can't travel left or right to get to the y-intercept point (without moving back to the y-axis).  The only movement would be up or down.

Since no left-right movement will happen, the x-coordinate is zero.

For any two-variable equation, the x and y coordinates of any point on the graph are linked by the equation.  If it is known that the x-value is zero, the y-value associated with that x-value is given by substituting zero into the equation everywhere there is an "x", and solving for "y".

[tex]y=-4x^2-x+3[/tex]

[tex]y=-4(0)^2-(0)+3[/tex]

Order of operations requires exponents before multiplication, or addition & subtraction...

[tex]y=-4(0)-(0)+3[/tex]

multiplication...

[tex]y=0-0+3[/tex]

addition & subtraction, from left to right...

[tex]y=3[/tex]

So, when the x-value is zero, the y-value is three.  Therefore, the ordered pair representing that point is (0,3).

Method 2: Method specific for parabolas in standard form

The given equation is the equation for a parabola (as stated in the question), and it is given in "standard form": [tex]y=ax^2+bx+c[/tex], where a, b, and c are real numbers (and a isn't equal to zero, because then the x-squared term would be zero, and the equation would really just be a linear equation).

Note that for our equation, it is in standard form if we rewrite the equation to only use addition, [tex]y=-4x^2+-1x+3[/tex], where [tex]a=-4, ~b=-1 ~ \text{and}~c=3[/tex]

For a parabola in standard form, the y-intercept is always at a height of "c".

So, the y-intercept would be (0,3).

78,624,000 different license plates are possible if letters and digits cannot be repeated.

For the letters:

There are 26 letters in the English alphabet, and we need to choose three of them without repetition.

This can be calculated as a permutation of 26 letters taken 3 at a time:

P(26, 3) = 26! / (26 - 3)!

= 26! / 23!

= 26 x 25 x 24

= 15,600

For the digits:

There are 10 digits (0-9), and we need to choose four of them without repetition.

This can be calculated as a permutation of 10 digits taken 4 at a time:

P(10, 4) = 10! / (10 - 4)! = 10! / 6!

= 10 x 9 x 8 x 7

= 5,040

To find the total number of different license plates possible, we multiply the number of possibilities for the letters by the number of possibilities for the digits:

Total possibilities = P(26, 3) x P(10, 4)

= 15,600 x 5,040

= 78,624,000

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The complete statement should be If 3m = 7n, then m/n = 7/3. The proportion was obtained by solving for m, and then using the converse of the cross products property. Option B

The converse of the cross products property states that if two ratios are equal, then the product of the means is equal to the product of the extremes.

To justify the answer, you solve for m/n in the original equation by dividing each side by 3n, which gives you m/n = 7/3.

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Given, Option A: Hourly wage is $19 and the salesperson works 40 hours per week. So, he will earn in a week [tex]\sf = 19 \times 40 = \$760[/tex]

Now, according to option b, he will get 8% commission on weekly sales.

Let. x = the amount of weekly sales.

To earn the same amount of option A, he will have to equal the 8% of x to $760

So, [tex]\sf \dfrac{8x}{100}=760[/tex]

Or, [tex]\sf 8x= 76000[/tex]

Or, [tex]\sf x= \dfrac{76000}{8}=9500[/tex]

the salesman needs to make a weekly sales of $9,500 to earn the same amount with two options.

The value of function h (0) is,

h (0) = 10

And, The value of function h (4) is,

h (4) = 8

Given that;

The function is,

h (x) = { 3x - 4 , x < 0

       = {2x² - 3x + 10, 0 ≤ x < 4

       = { 2x , x≥ 4

Hence, The value of function h (0) is,

h (x) = 2x² - 3x + 10, 0 ≤ x < 4

h (0) = 2 (0) - 3 (0) + 10

h (0) = 10

The value of function h (4) is,

h (x) = 2x

h (4) = 2 (4)

h (4) = 8

Thus, The value of function h (0) is,

h (0) = 10

And, The value of function h (4) is,

h (4) = 8

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The period of the function is given as follows:

C) 4.

A periodic function is a function that has the behavior repeating in intervals over the domain.

Then the period of the function is defined as the difference between two points in which the function has the same behavior.

The function in this problem has the behavior repeating at these following points:

x = 0, x = 4, x = 8, ...

Hence the period is given as follows:

4 - 0 = 8 - 4 = 4.

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In accounting, the accounting equation is a fundamental principle that describes the relationship between a company's assets, liabilities, and equity. This equation is represented as Assets = Liabilities + Equity. Every financial transaction that a company undertakes has an impact on at least two of the components of the accounting equation.

Transaction Analysis:

a. The company completed consulting work for a client and immediately collected $5,600 cash earned.

This transaction increases both cash and revenue. There is no impact on liabilities or equity.

Accounts Affected:

Cash: +$5,600

Revenue: +$5,600

b. The company completed commission work for a client and sent a bill for $4,100 to be received within 30 days.

This transaction does not impact any account initially. Revenue will increase when payment is received.

Accounts Affected:

Accounts Receivable: +$4,100

Revenue: +$0

c. The company paid an assistant $1,450 cash as wages for the period.

This transaction decreases cash and increases expenses. There is no impact on liabilities or equity.

Accounts Affected:

Cash: -$1,450

Expenses: +$1,450

d. The company collected $2,050 cash as a partial payment for the amount owed by the client in transaction b.

This transaction increases cash and decreases accounts receivable. There is no impact on liabilities or equity.

Accounts Affected:

Cash: +$2,050

Accounts Receivable: -$2,050

e. The company paid $720 cash for this period's cleaning services.

This transaction decreases cash and increases expenses. There is no impact on liabilities or equity.

Accounts Affected:

Cash: -$720

Expenses: +$720

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Complete Question

The following transactions were completed by the company

a. The company completed consulting work for a client and immediately collected $5,600 cash earned.

b. The company completed commission work for a client and sent a bill for $4,100 to be received within 30 days.

c. The company paid an assistant $1,450 cash as wages for the period.

d. The company collected $2,050 cash as a partial payment for the amount owed by the client in transaction b

e. The company paid $720 cash for this period's cleaning services  Required: Enter the impact of each transaction on individual items of the accounting equation. (Enter decreases to account balances with a minus sign.)

Domain: {15, 17, 19, 21, 23}

The domain describes the x-values within a function.

Inputs

In a function, the inputs are the values that are plugged into a function, and the outputs are the resulting values. This means that the inputs represent the x-values and the outputs are the y-values. Since this is a function, each of the inputs has one output. So, each input is unique. We can use the input values to find the domain.

Domain

The domain of a data set is the x-values. Each x-value is one part of the domain. The domain is written as a list of values in numerical order with braces surrounding the values. Since the inputs represent the x-values, we can use the input values as the domain values. This means that the domain of the data is {15, 17, 19, 21, 23}.

answer: 5'6"

step by step: 1'5"+2"=1'7"+1'3"=3'0"+1'2"=4'2"+1'4"=5'6"

The surface area of the rectangular prism is (26/3) times larger than the surface area of the cube.

Given data ,

Let the surface area of the cube be S₁

Let the surface area of the rectangular prism be S₂

Let the volume of the cube be V₁

Let the volume of the prism be V₂

On simplifying , we get

The side length of cube = x

So , surface area of cube = 6x²

The volume of cube = x³

And , the surface area of prism = 2 ( 12x² + 8x² + 6x² )

S₂ = 52x²

And , volume of prism = l x w x h

V₂ = ( 2x ) ( 3x ) ( 4x ) = 24x²

So , S₂ = ( 26/3 ) S₁

52x² = ( 26/3 ) ( 6x² )

52x² = 52x²

Hence , The rectangular prism's surface area is (26/3) times greater than the cube's surface area.

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The complete question is attached below :

The dimensions of a cube and a rectangular prism are shown below.

Which statement is true?

A The surface area of the rectangular prism is 24 times larger than the surface area of the cube.

The surface area of the rectangular prism is times larger than the surface area of the cube.

C The volume of the rectangular prism is 48 times larger than the volume of the cube.

D The volume of the rectangular prism is 3 times larger than the volume of the cube.

Step-by-step explanation:

3775  +  2890-1395 = total diving meters = 5270 m

Total movement = 3775  + ( 3775 - 1395 )   +  (2890 - 1395 ) = 7650 m

1. The equation to be formed is 40 + 5x + 90 = 180

2. The value of x is 10

A straight line's total angles are always 180 degrees. Around the place where two lines join, they create four angles. The total of the angles on either side of a straight line, if those lines are straight and form one, is always 180 degrees.

We know that;

40 + 5x + 90 = 180 (Sum of angles on a straight line)

130 + 5x = 180

5x = 180 - 130

x = 50/5

x = 10

Thus the value of x is given as 10

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The pairs of alternate exterior angles in the given figure is Option D) ∠1 and ∠7; ∠2 and ∠8

Alternate exterior angles are a pair of angles formed by a transversal line intersecting two parallel lines and located on opposite sides of the transversal and on the exterior of the parallel lines. In other words, if two parallel lines are intersected by a third line (the transversal), then the pairs of angles on opposite sides of the transversal and outside the parallel lines are alternate exterior angles. These angles are congruent to each other.

In the given figure two parallel lines, which are crossed by a transversal line which forms angles.

Now according to the given figure

so, answer is Option D) ∠1 and ∠7; ∠2 and ∠8

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his pay per workday will be $127.45.

Thus, the formula for calculating simple interest is J = C i t, where J is interest, C is principal, i is interest rate, and t is time. That is, J represents the amount added to the initial value, the capital is the calculation basis, the interest rate is the percentage applied on the capital and time is the capitalization period.

Knowing that:

The total weekends in a year:

52 * 2 = 104 weekend days.

Total paid vacation days, including holidays that fall on weekends:

10 - 4 = 6 paid vacation days.

Total non-working days:

104 + 6 = 110 non-working days.

Total working days in a year:

365 - 110 = 255 working days.

Pay per workday = Annual salary / Total working days

= $32,500 / 255= $127.45

Therefore, the librarian's pay per workday is approximately $127.45.

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The solution of expression ∫ (0 to 10) (x + 1) dx is,

⇒ 60

We have to given that,

Expression to solve,

⇒ ∫ (0 to 10) (x + 1) dx

Now, We can simplify as,

⇒ ∫ (0 to 10) (x + 1) dx

⇒ ∫ (0 to 10) (x) dx + ∫ (0 to 10) dx  

⇒ (x² / 2)₀¹⁰ + ((x)¹⁰₀

⇒ 1/2 (10² - 0) + (10 - 0)

⇒ 1/2 × 100 + 10

⇒ 50 + 10

⇒ 60

Therefore, The solution of expression ∫ (0 to 10) (x + 1) dx is,

⇒ 60

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The expression that is equivalent to the trigonometry ratio (sin²θ + cos²θ)/tan²θ is (a) cot²θ

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

The trigonometry ratio given as

(sin²θ + cos²θ)/tan²θ

In trigonometry,

sin²θ + cos²θ = 1

So, we have the following representation

(sin²θ + cos²θ)/tan²θ = 1/tan²θ

Evaluate the quotient

(sin²θ + cos²θ)/tan²θ = cot²θ

Hence, the expression that is equivalent to the trigonometry ratio is (a) cot²θ

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Answer:

a=25

b=92

Step-by-step explanation:

Because the average of the five numbers is 51, the sum of the five numbers is 255.

a+b+73+65=255

138+a+b=255

a+b=117

a+67=b

Therefore,

a=25

b=92

Feel free to tell me if I made a mistake! :)

sorry i was going to show work but my water spill on the paper. so answer is 556.05cm^2