What lines are perpendicular to 3x+6y=5

The coordinate of B'  after the sequence of transformations is B' = (-6, 2)

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

B = (-1, 1)

The sequence of transformations is given as

When applied, we have

Translate (‒5, ‒3)

B = (-1 - 5, 1 - 3)

B = (-6, -2)

Reflect over the x-axis

B' = (-6, 2)

Hence, the image is B' = (-6, 2)

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Answer:

Step-by-step explanation:

B yes their slopes are negative reciprocals

Answer:

b

Step-by-step explanation:

on edge

Answer:

To calculate XYZ Company's total assets minus liabilities, you would need to add up all of the assets listed on the balance sheet and then subtract the sum of all the liabilities.

In this case, the total assets would be $45,000 + $41,000 + $134,000 = $220,000. The total liabilities would be $55,000 + $56,000 + $50,000 = $161,000.

So, the total assets minus liabilities would be $220,000 - $161,000 = $59,000.

Step-by-step explanation:

The subsets of the set {e, n, t} are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:

\(2^n\)

The set for this problem is given as follows:

{e, n, t}

The cardinality is given as follows:

n = 3.

Hence the number of subsets is given as follows:

2³ = 8.

The subsets are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

In which {} is the empty set.

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Answer:

50(5π + 6) cm²

Step-by-step explanation:

TSA of figure = 1/2 of TSA(Cylinder) + Area of rectangle

= 1/2 of 2πr(h+r) + 20*15

= πr(h+r) + 300

= 10π(15+10) + 300

= 250π + 300 cm²

or 50(5π + 6) cm²

The approximate distance around the outside of the circular field is the circumference = 172.7 feet and the correct option is B.

To calculate the circumference of a circle, multiply the diameter of the circle with π (pi). The circumference can also be calculated by multiplying 2×radius with pi (π = 3.14).

We shall derive the approximate distance around the outside of the circular field by calculating for the circumference as follows:

Radius of the circular feild = 27.5

circumference of the circular feild = 2 × 27.5 feet × 3.14

circumference of the circular feild = 55 feet × 3.14

circumference of the circular feild = 172.7 feet.

Therefore, the approximate distance around the outside of the circular field is derived as the circumference which is equal to 172.7 feet.

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Answer: 346.4 in^3

Step-by-step explanation:

The pot can be thinked as a cylinder:

The volume of a cylinder is equal to:

V = (pi*r^2)*h

where h is the height, r is the radius and pi = 3.1416

Here we have that: r = 3.5in, h = 9in.

Then the volume is:

V = 3.1416*(3.5in)^2*9in = 346.4in^3

Answer:   middle.

Step-by-step explanation:   closest to each side.

The solution to the algebraic problem is \(x^{2}\)

What is an Algebraic Equation?

An algebraic equation is a mathematical statement that sets two expressions equal to each other. An algebraic equation is typically made up of a variable, coefficients, and constants.

Solution:

(\(x^{3}\) – 1) = (x+2)

On dividing (\(x^{3} - 1\)) by (x+2)

The first term of the quotient will be x^2 by following the Long Division Method of Algebraic Division.

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This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.

Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.

If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.

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Answer: x = 11, y = 9

Step-by-step explanation:

To solve for x, set the sides equal to each other:

7x + 27 = 10x - 6

Add 6 to both sides:

7x + 33 = 10x

Subtract 7x from both sides:

33 = 3x

Divide both sides by 3:

11 = x

(Which is the same as x = 11)

Now, to solve for y, since they don’t give you the other side, you know that the straight line is 180° so:

7x + 27 + 9y - 5 = 180

Plug in your x:

7(11) + 27 + 9y - 5 = 180

77 + 27 + 9y - 5 = 180

Add like terms:

99 + 9y = 180

Subtract 99 from both sides:

9y = 81

Divide both sides by 9:

y = 9

Hope this helps!

Answer:

Step-by-step explanation

Okay so lets solve step by step/

15% can be written as a  fraction: 15/100

The of in the equation means multiplying.

15/100= 3/20

3/20*9= 270/20

27/2 is answer

By taking a difference between mixed numbers, we can conclude that the distance left is 5/8 of a mile.

We know that the total length of the trail is 2½ miles, and Jorge hikes 1⁷/₈ miles before resting.

So the distance that he has left is equal to the difference between 2½ miles and 1⁷/₈ miles.

Remember that the mixed numbers can be rewritten as:

2½  = 2 + 1/2

1⁷/₈ = 1  + 7/8

So we need to find the difference:

(2 + 1/2) - (1 + 7/8) = ( 2  - 1) + (1/2 - 7/8)

= 1 + (4/8 - 7/8) = 1 - 3/8

Now we can simplify this so we get a single fraction:

1 - 3/8 = 8/8 - 3/8 = 5/8

From this, we can conclude that the distance left is 5/8 of a mile.

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Therefore , the solution of the given problem of area comes out to be

r = 8.

The term "area" describes the amount of space occupied by a 2D form or surface. We use cm2 or m2 as our units for measuring area. A shape's area is determined by dividing its length by its breadth.

Here,

A 90 degree sector occupies 1/4 of a circle, which has 360 degrees. Consequently, the area of the whole circle can be written as

Sector Size/Sector Area = Circle Area/360

16 ft2/90 = n/360

(360) (16 ft2)/90 = n

(4)(16 ft2) = n

The total size of the circle is n = 64 ft2.

Since Area of a Circle equals r2,

∏r2 = 64

r2 = 64/∏

r = √(64/∏)

We multiply by / to get by rationalizing the denominator.

r = √(64∏)/√(∏2) Then using the denominator's square root, we can obtain the solution of

r = √(64∏)/∏

r = 8

Therefore , the solution of the given problem of area comes out to be

r = 8.

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\(-8x+2 > 0\)

Subtract 2 from both sides:

\(-8x+2-2 > 0-2\)

\(-8x > -2\)

Divide both sides by -8:

\(\dfrac{-8x}{-8} > \dfrac{-2}{-8}\)

(Since we are dividing by a negative number, the sign will reverse)

\(x < \dfrac{1}{4} \texttt{ or }x < 0.25\)

Answer:

Step-by-step explanation:

18 - 7x = -20.5

18 + 20.5 = 7X

38.5 = 7X

X = 38.5/7

X = 5.5

Answer:

\(x∈( - ∞;8]\)

Step-by-step explanation:

\(x + 9 - 3 \leqslant 14\)

Collect like-terms:

\(x \leqslant 14 - 9 + 3\)

\(x \leqslant 8\)

\(x∈( - ∞;8]\)

Answer:

m>3/4

Step-by-step explanation:

Add -13/8 to both sides:

6/8<m

Simplify:

m>3/4

Answer:

1/3 is greater

Step-by-step explanation:

Mark me brainlist

Step-by-step explanation:

\( \frac{1}{75} \\ \frac{1}{3} = \frac{1 \times 15}{3 \times 15} = \frac{15}{75} \)

Hence, 1/3 is greater.

Note that the coordinates of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4). (Option B)

To rotate a point 90 degrees  clockwise about a given point,we can follow these steps -

Translate the coordinates   of the given point so that the center of rotation is at the origin.   In this case,we subtract the coordinates   of the center (0,1) from the coordinates of point A (5,4) to get (-5, 3).

Perform the rotation by swapping the x and y coordinates and changing the sign of the   new x coordinate. In this case,we  swap the x and y coordinates of (-5, 3)   to  get (3, -5).

Translate the coordinates back to their original position   by adding the coordinates of the center (0,1)  to the result from step 2. In   this case, we add (0,1) to (3, -5) to get (3, -4).

Therefore, the coordinates   of the point A' after rotating 90 degrees clockwise about the point (0,1) are (3, -4).

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Answer:

80

Step-by-step explanation:

use the formula of arithmetic progression

Answer:

A

Algebra For what values of the variables must ABCD be a parallelogram?

B

23. A 2y + 2 B 24. B

(3x + 10)

(8x + 5)º

3x + 6

54°

D

С

D

A

Зу - 9 с

ly+4

Answer:

Yes it is also

The answer of the given question based on the line segment is ,  the slope of the perpendicular bisector of the line segment AB is -1/4.

Slope is a measure of the steepness of a line on a graph. It describes the rate at which the line rises or falls as it moves from left to right, and it is defined as ratio of vertical change (rise) to horizontal change (run) between any two points on  line.

To find the slope of the perpendicular bisector of the line segment AB, we first need to find the midpoint of AB:

Midpoint of AB = [(x-coordinate of A + x-coordinate of B)/2, (y-coordinate of A + y-coordinate of B)/2]

= [(2 + 5)/2, (-3 + 9)/2]

= [3.5, 3]

So the midpoint of AB is (3.5, 3).

The slope of  line segment AB is:

slope of AB = (y-coordinate of B - y-coordinate of A)/(x-coordinate of B - x-coordinate of A)

= (9 - (-3))/(5 - 2)

= 4

The slope of a line perpendicular to AB is the negative reciprocal of the slope of AB. So the slope of the perpendicular bisector of AB is:

slope of the perpendicular bisector=-1/slope of AB

= -1/4

Therefore, the slope of the perpendicular bisector of the line segment AB is -1/4.

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(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

To solve the exercise using Polya's four-step problem-solving strategy, we will apply the procedures presented in the lesson.

(a) For the series 1+2+3+4+...+392:

Using the arithmetic series formula Sn = (n/2)(a + l), where n is the number of terms, a is the first term, and l is the last term, we can substitute the values: Sn = (392/2)(1 + 392) = 196(393) = 77,028.

(b) For the series 1+2+3+4...x:

To find the sum of this series, we need to know the number of terms (n) based on the value of x. Since the series follows a consecutive pattern, the number of terms will be equal to x itself. Thus, the sum of the series would be Sn = (x/2)(1 + x).

(c) For the series 546 + 547 + 548 + 549:

Using the arithmetic series formula Sn = (n/2)(a + l), we can determine the number of terms (n) by subtracting 546 from 549 and then adding 1: n = 549 - 546 + 1 = 4. Substituting the values into the formula: Sn = (4/2)(546 + 549) = 2(1095) = 2,190.

The final answer for each part is:

(a) The sum of the series 1+2+3+4+...+392 is 77,028.

(b) The sum of the series 1+2+3+4...x is (x/2)(1 + x).

(c) The sum of the series 546 + 547 + 548 + 549 is 2,190.

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The measure of side length x in the right triangle is approximately 6.03 cm.

The figure in the image is a right triangle having one of its interior angle at 90 degrees.

From the figure:

Angle θ = 37 degrees

Adjacent to angle θ = 8 cm

Opposite to angle θ = x

To solve for the missing side length x, we use the trigonometric ratio.

Note that: tangent = opposite / adjacent

Hence:

tan( θ ) = opposite / adjacent

Plug in the given values and solve for x:

tan( 37 ) = x / 8

x = tan( 37 ) × 8

x = 6.03 cm

Therefore, the value of x is 6.03 cm.

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The midpoint of AB is M(1,2). If the coordinates of A are (8,-4), The coordinates of point B are (-6, 8).

To find the coordinates of point B, we can use the midpoint formula, which states that the midpoint between two points (x₁, y₁) and (x₂, y₂) is given by:

Midpoint = ((x₁ + x₂) / 2, (y₁ + y₂) / 2)

We are given the midpoint M(1, 2) and the coordinates of point A (8, -4). Let's denote the coordinates of point B as (x, y).

Using the midpoint formula, we can set up the following equations:

1 = (8 + x) / 2 (equation 1)

2 = (-4 + y) / 2 (equation 2)

Let's solve these equations to find the values of x and y.

From equation 1:

2 = 8 + x

x = 2 - 8

x = -6

From equation 2:

4 = -4 + y

y = 4 + 4

y = 8

Therefore, the coordinates of point B are (-6, 8).

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Answer:

B = (-6, 8)

Step-by-step explanation:

To find the coordinates of B, given the coordinates of A and the coordinates of the midpoint of AB, use the Midpoint formula.

\(\boxed{\begin{minipage}{7.4 cm}\underline{Midpoint formula}\\\\$M(x,y)=\left(\dfrac{x_2+x_1}{2},\dfrac{y_2+y_1}{2}\right)$\\\\\\where $(x_1,y_1)$ and $(x_2,y_2)$ are the endpoints.\\\end{minipage}}\)

Let A = (x₁, y₁) = (8, -4)

Let B = (x₂, y₂)

Given M is (1, 2), substitute the points into the midpoint formula:

\((1,2)=\left(\dfrac{x_2+8}{2},\dfrac{y_2-4}{2}\right)\)

\((1,2)=\left(\dfrac{x_2}{2}+4,\dfrac{y_2}{2}-2\right)\)

Equate the x-coordinates and solve for x₂:

\(\begin{aligned}1&=\dfrac{x_2}{2}+4\\\\1-4&=\dfrac{x_2}{2}+4-4\\\\-3&=\dfrac{x_2}{2}\\\\-3\cdot 2&=\dfrac{x_2}{2}\cdot 2\\\\-6&=x_2\\\\x_2&=-6\end{aligned}\)

Equate the y-coordinates and solve for y₂:

\(\begin{aligned}2&=\dfrac{y_2}{2}-2\\\\2+2&=\dfrac{y_2}{2}-2+2\\\\4&=\dfrac{y_2}{2}\\\\4\cdot 2&=\dfrac{y_2}{2}\cdot 2\\\\8&=y_2\\\\y_2&=8\end{aligned}\)

Therefore, the coordinates of B are (-6, 8).

Answer:

9/4

Step-by-step explanation:

1 2/7=9/7

2 1/3=7/3

--------------

9/7+7/3x+3/14+x=9

18/14+3/14+7/3x+3/3x=9

21/14+10/3x=9

10/3x=9-21/14

10/3x=9-3/2

10/3x=18/2-3/2

10/3x=15/2

x=(15/2)/(10/3)

x=(15/2)(3/10)

x=45/20

simplify

x=9/4