How do the measures of the angles of polygon ABCD compare with those of the translated images? Based on your observation, what can you conclude about preservation of angle measurements during a translation?

Answer:

8

Step-by-step explanation:

27 divided by 3 1/4 =

27 divided by 13/4=

27 times 4/13 = 108/13 = 8.307

At most she can make 8 taches.

Answer:

Sales Tax is $2.8

Explanation:

Given that

Selling Price = $40.00

and

Rate of Sales Tax = 7%

Sales Tax is 7% of $40.00

= 7/100 * $40.00

= 0.07 * $40.00

= $2.8

Answer:

You find an area of a square by multiplying the width and the length.

Answer:

you multiply the length by the width.

Step-by-step explanation:

the attached file shows what the length and width are.

Answer: The answer is:  360

Step-by-step explanation:

Subtract 450 by 90

450 - 90 = 360.

Hope this helped <//3

986.58 cubic meters  of water needs to be pumped into the chamber for one lift

To find the amount of water that needs to be pumped into the chamber for one lift, we need to find the volume of the chamber. the volume of the chamber can be calculated using the formula for volume which is

Volume = length × width × height

where

length = 42 m

width = 8.1 m and

height = 2.9 m.

Volume = 42 m × 8.1 m × 2.9 m

Volume = 986.58 cubic meters

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Answer:

9 and 10

Step-by-step explanation:

To start, let's have what we know:

a and b are two consecutive positive integers

a = first integer

b = second integer, 1 greater than variable a

b = a + 1

b^2 = 19 + 9a

To solve this, we would only have to substitute values in

b^2 = 19 + 9a

(a+1)^2 = 19 + 9a

a^2 + 2a +1     = 19 + 9a

       -9a -19    -19 - 9a

a^2 -7a - 18 = 0

a^2 + 2a - 9a - 18

a(a + 2) - 9(a+2) = 0

(a - 9)(a + 2) = 0

So solving this, we would get a = 9 or a = -2. Since this is supposed to be a positive integer, a will be 9.

Solving for b,

b = a + 1

  = 9 + 1

  = 10

Let me know in the comments if you have any questions! If you could mark this answer as brainliest, I would very much appreciate it!

Answer:

\(y = -2\, x - 6\).

Step-by-step explanation:

Calculate the gradient of line \(\sf {AB}\). For a non-vertical line that goes through \((x_0,\, y_0)\) and \((x_1,\, y_1)\) where \(x_{0} \ne x_{1}\), the gradient would be:

\(\displaystyle \text{$\frac{y_{1} - y_{0}}{x_{1} - x_{0}}$ given that $x_{0} \ne x_{1}$}\).

For line \(\sf AB\), the two points are \({\sf A}\, (-6,\, -4)\) and \({\sf B}\, (2,\, 0)\). Hence, the gradient of line \(\sf AB\!\) would be:

\(\begin{aligned} \frac{0 - (-4)}{2 - (-6)} = \frac{1}{2}\end{aligned}\).

The perpendicular bisector of a line segment (\(\sf AB\) in this question) is perpendicular to that line segment.

In a cartesian plane, the gradients of two lines perpendicular to one another would be inverse reciprocals. In other words, the product of these two gradients would be \((-1)\).

Hence, if \(m_{1}\) represents the gradient of \({\sf AB}\!\!\), and \(m_{2}\) represents the gradient of the perpendicular bisector, then \(m_{1} \cdot m_{2} = -1\).

Since the gradient of \({\sf AB}\) is \((1/2)\), the gradient of its perpendicular bisector would be:

\(\begin{aligned}m_{2} &= \frac{-1}{m_{1}} \\ &= \frac{-1}{1/2} \\ &= -2\end{aligned}\).

The perpendicular bisector of a line segment (\({\sf AB}\) in this question) goes through the midpoint of that line segment.

Apply the midpoint formula to find the midpoint of segment \({\sf AB}\).

If the endpoints of a line segment are \((x_{0},\, y_{0})\) and \((x_{1},\, y_{1})\), the midpoint of that line segment would be:

\(\begin{aligned} \left(\frac{x_0 + x_1}{2},\, \frac{y_{0} + y_{1}}{2}\right)\end{aligned}\).

The two endpoints of segment \({\sf AB}\) are \({\sf A}\, (-6,\, -4)\) and \({\sf B}\, (2,\, 0)\). The midpoint of segment \({\sf AB}\!\) would be:

\(\begin{aligned} \left(\frac{-6 + 2}{2},\, \frac{-4 + 0}{2}\right) &= (-2,\, -2)\end{aligned}\).

Find the equation of this perpendicular bisector in the point-slope form.

Consider a non-vertical line of slope \(m\). If this line goes through the point \((x_{0},\, y_{0})\), the point-slope form equation of this line would be:

\(y - y_{0} = m\, (x - x_{0})\).

The slope of the perpendicular bisector in this question is \((-2)\). Besides, this line goes through the point \((-2,\, -2)\). Henec, the point-slope equation of this line would be:

\(y - (-2) = (-2)\, (x - (-2))\).

\(y + 2 = -2\, (x + 2)\).

All the choices in this question are in the slope-intercept form. Hence, rewrite the point-slope equation \(y + 2 = -2\, (x + 2)\) to find the corresponding (equivalent) slope-intercept equation of this line:

\(y + 2 = -2\, (x + 2)\).

\(y = -2\, x - 6\).

The algebra tiles shows the polynomial x² - 2x - 8

Polynomial is an expression that involves only the operations of addition, subtraction, multiplication of variables.

Algebra tiles are square and rectangle shaped tiles or tiles that represent numbers and variables.

From the image:

Polynomial = x² + x + x - x - x - x - 1 - 1 - 1 - 1 - 1 - 1 - 1 - 1 = x² - 2x - 8

The algebra tiles shows the polynomial x² - 2x - 8

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A=1

B=-5

C=3

-(-5)+(Square root of) (-5)^2+4(1)(3)/2(1)

-(-5)-(Square rooy of) (-5)^2+4(1)(3)/2(1)

5.5414 or -.5414

Answer:

look below :)

Step-by-step explanation:

1) 112

2) 68

3) 90

4) 90

5) 22

6) 158

BETTER GIVE ME SOME POINTS BOI

Answer:

140 Minutes

Step-by-step explanation:

Y = 0.125x ---> Corinne every 1 minute

Y = 3.5 + .1x ----> Aretha

0.125x = 3.5 + .1x

-.1x               - .1x

0.025x = 3.5

0.025x/.025 = 3.5/.025

x = 140 minutes

Answer:

1) (1/2)(18)(9√3) = 81√3 square meters

2) 16^2 = 256 square meters

3) (1/2)(2)(9/√3)(6)(9) = 486/√3 =

162√3 square meters

4) (1/2)(2)(13√3)(3)(13) =

507√3 square meters

5) (2(14/√2))^2 = 4(196/2) = 4(98) =

392 square meters

6) (1/2)(4)(6)(2√3) = 24√3 square meters

Answer:

Slope intercept form; -4y = -3x + 9

Y-intercept; 9

Answer:

y=3/4x+9/-4

Step-by-step explanation:

3x-4y=9

-3x. -3x

-4y= -3x+9

-4 -4

y=3/4+9/-4

Answer:

8.33333

Step-by-step explanation:

When x=4, y=2∛2; when x=5, y=∛50; and when x=4 again, y=2∛2. To evaluate y^3=2x^2 at x=4,5,4, we first need to find the corresponding values of y. To evaluate the equation y^3 = 2x^2 for the given values of x (4, 5, and 4), we need to first solve for y in terms of x, and then substitute the x values.

1. Solve for y:

y^3 = 2x^2

y = (2x^2)^(1/3)

2. Substitute the values of x:

For x = 4:

y = (2(4)^2)^(1/3)

y ≈ 3.1072

For x = 5:

y = (2(5)^2)^(1/3)

y ≈ 3.4760

For x = 4 (repeated):

y ≈ 3.1072

So, the corresponding y values are approximately 3.1072, 3.4760, and 3.1072.

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(So sorry I answered late, btw.. I got this from the web)

Answer:

Step-by-step explanation:

Given that In the coordinate plane line p had slope 8 and y intercept (0,5).

Hence equation of line p is

y = 8x+5 (slope intercept form)

When we dilate p by a factor of 3, we have

we find that slope would remain the same but the y intercept would become 3 times.

Hence new line would be

y = 8x+15

Slope = 8 and y intercept = 15

This line will be parallel to original line.

Answer:

(6, - 9 )

Step-by-step explanation:

Given the 2 equations

6x + 2y = 18 → (1)

- 4x - 2y = - 6 → (2)

Adding the 2 equations term by term will eliminate the y- term, that is

2x + 0 = 12

2x = 12 ( divide both sides by 2 )

x = 6

Substitute x = 6 into either of the 2 equationsand solve for y

Substituting into (1)

6(6) + 2y = 18

36 + 2y = 18 ( subtract 36 from both sides )

2y = - 18 ( divide both sides by 2 )

y = - 9

solution is (6, - 9 )

The graph of Linear Equation is always a straight line .

Answer:

7-(-3)

Step-by-step explanation:

-(-3)=3

Answer:

y < 3x + \(\frac{5}{2}\)

Step-by-step explanation:

6x > 2y - 5

Adding 5 to both sides

=> 6x + 5 > 2y

=> 2y < 6x+5

Dividing both sides by 2

=> y < \(\frac{6x+5}{2}\)

=> y < \(\frac{6x}{2} + \frac{5}{2}\)

=> y < 3x + \(\frac{5}{2}\)

This is the required slope intercept form in the form \(y = mx+b\)

Answer:

So, option D is your answer

Step-by-step explanation:

If 2 lines are parallel to A Third line, then the 2 lines are parallel.

\(------------\)

hope it helps..

have a great day!!

Answer:1668.84

Step-by-step explanation:

Answer:

1668.84  

Step-by-step explanation:

A polynomial expression is a mathematical expression consisting of constants and variables, combined with the operations of addition and multiplication.

A polynomial expression is of the form:-

\(ax^{2}+bx+c\)

Here, it consists of variable x, constants a, b and c and operations + and *.

Hence, it is a polynomial expression.

This particular polynomial expression is a quadratic expression.

Other examples of polynomial expressions are :-

5x + 3, \(4x^{3}+3x^{2}}+2x+1\) ,2x + 3y = 4 and so on.

A general polynomial expression can be written as:-

\(a_{n}x^{n}+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ......+ a_{1}x^{1}+a_{0}\)

It has (n + 1) terms, with variable x,  (n + 1) constants and operations + and *.

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Answer:

To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Step-by-step explanation:

SA=2*4*5+2*4*6+2*6*5

=148 cmStep-by-step explanation:

Answer:

y=1/5 x -4

Step-by-step explanation:

Basically, we first start with perpendicular. Note that 2 lines' that are perpendicular have product = -1. Thus, the slope of the line (in question) is 1/5.

Now, we know y = mx + b by slope intercept. Note that y intercept means (0,-4). Thus, plugging in give the answer.

Hope this helps! (Please mark brainliest :))

a) The fixed fee of $90 is added to the product of the area x and the rate of 75 cents per square foot. b) This table represents the values of the function f(x) for different values of x.

(a) The function C that models the cost for one month's rental of a space with area x square feet can be expressed as:

C(x) = 90 + 0.75x

(b) To find the cost of one month's rental of a space with an area of 310 square feet, we substitute x = 310 into the function C(x):

C(310) = 90 + 0.75 * 310

= 90 + 232.5

= $322.50

Therefore, the cost of one month's rental of a space with an area of 310 square feet is $322.50.

Now let's consider the piecewise-defined function f(x):

f(x) = 2x + 2 if x < -1

5 if x ≥ -1

To complete the table of values for x < -1, we substitute different values of x into the function:

x f(x)

-4 2(-4) + 2 = -6

-3 2(-3) + 2 = -4

-2 2(-2) + 2 = -2

At x = -1, the graph of the function will have an open circle at the point (-1, f(-1)). To determine the value of f(-1), we look at the second part of the function:

f(-1) = 5

Therefore, at x = -1, the graph of the function will have an open circle at the point (-1, 5).

To complete the table of values for x ≥ -1, we substitute different values of x into the function:

x f(x)

-1 Open circle

0 5 - 0 = 5

1 5 - 1 = 4

In summary, the completed table of values for the piecewise-defined function f(x) is:

x f(x)

-4 -6

-3 -4

-2 -2

-1 Open circle

0 5

1 4

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Answer:

Step-by-step explanation:

How does Priestley present the theme of social class in Act 1? 3 paragraphs 80 POINTS!!!

INTRODUCTION: What are Priestley’s overarching ideas about the class system? How are Priestley’s ideas about class seen in Act 1 of the play?

PARAGRAPH 1 -

PARAGRAPH 2-

PARAGRAPH 3-

CONCLUSION: What are Priestley’s overarching ideas about the class system? How are Priestley’s ideas about class seen in Act 1 of the play?

Answer:

(2,16)

Step-by-step explanation:

y=-x+18

y=8x

8x=-x+18

8x+x=9x

-x+x=0

9x=18

9x/9=x

18/9=2

x=2

y=8(2)

y=16

Answer:

(2,16)

Step-by-step explanation:

Step 1: Substitute -x+18 for y in y=8x:

-x+18=8x Add X to both sides

9x=18 Divide 9 by both sides

x=2

y=8(2)Plug in the new value for x(which is 2) into one of the equations

y=16

(2,16)

Hope this helped, good luck!

Answer:

65

Step-by-step explanation:

3x - y + 1 =0

d/dx (3x) - dy/dx + d/dx (1) = 0

dy/dx = 3

y = x2 + 4x - 16

dy/dx = 2x + 4

Hence

2x + 4 = 3

x= 3-4/2 = -1/2

at x = -1/2y = (-1/2)2 + 4 (-1/2) - 16 = 1/4 -2 -16

y = -71/4

so the point p (-1/2, -71/4)

equation of tangent

y - (-71/4) = 3 (x-(-1/2))

y + 71/4 = 3 ( x + 1/2)

3x - y = 71/4 - 3/2 = 71-6/4 = 65/4

12x - 4y = 65.

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