What is the equation of the line that is perpendicular to the line y = 2x + 5 and
passes through the point (-4, 2)?

Answer:

The image of the graph is below.

Step-by-step explanation:

Answer:

Please find attached the drawing of ABCD, A'B'C'D', and A''B''C''D'', created with MS Excel

Step-by-step explanation:

The given composition of transformation is [tex]r_{y-axis} \ \circ \ r_{x = - 4}[/tex]

The transformation on the right, [tex]r_{x = - 4}[/tex], is carried out first as follows;

The point A with coordinate (-7, 7) reflected across the line x = -4, gives;

A(-7, 7) [tex]r_{x = - 4}[/tex] → A'(-1, 7)

Similarly, we have;

B(-5, 7) [tex]r_{x = - 4}[/tex] → B'(-3, 7)

C(-5, 1) [tex]r_{x = - 4}[/tex] → C'(-3, 1)

D(-7, 1) [tex]r_{x = - 4}[/tex] → D'(-1, 1)

Therefore, the image of the given rectangle after reflection across the lie, x = -4, is A'(-1, 7), B'(-3, 7), C'(-3, 1), and D'(-1, 1)

The second transformation, [tex]r_{y-axis}[/tex], is found as follows;

(x, y) [tex]r_{y-axis}[/tex] → (x, -y)

Therefore, we have;

A'(-1, 7) [tex]r_{y-axis}[/tex] → A''(-1, -7)

B'(-3, 7) [tex]r_{y-axis}[/tex] → B''(-3, -7)

C'(-3, 1) [tex]r_{y-axis}[/tex] → C''(-3, -1)

D'(-1, 1) [tex]r_{y-axis}[/tex] → D''(-1, -1)

The points ABCD, A'B'C'D', and A''B''C''D'' are plotted on MS Excel and the points joined with straight lines to form the drawing of the triangles as shown in the attached figure.

Answer:

3x - 14 = x + 30

[ Opposite angles of a ||gm are equal ]

=> 3x - x = 30+14

=> 2x = 44

=> x = 22

Therefore , option 4 is correct

hope that helps ✌

Answer:

the slope is m=7/2

Step-by-step explanation:

Answer:

7/2

Step-by-step explanation:

Answer:

20, 30

Step-by-step explanation:

let the intergers be x and y

x = 2/3y

from this eqn, we know that y is larger.

hence, y-x=10

y-2/3y=10

1/3y=10

y=30

x=2/3y =2/3(30) = 20

Answer:

D

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 8 and d = - 3 , then

[tex]a_{n}[/tex] = 8 - 3(n - 1) = 8 - 3n + 3 = - 3n + 11 → D

Answer:

its c

Step-by-step explanation:

i did it on ed

Answer:

Heres the answer!

Step-by-step explanation:

Answer:

Step-by-step explanation:

diameter of the circle=smallest of the length and width=21 cm

r=21/2

area of the circle=πr²=22/7 ×(21/2)²=(21×441)/(7×4)=1323/4=330.75 cm²

The greatest counting number that divides 17, 25 and 41 and leaves the same remainder in each case is 8

Answer: (3b+2)(b+2)

Step-by-step explanation:

Answer:

0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).

Step-by-step explanation:

This question is solved treating these probabilities as Venn events.

I am going to say that:

Event A: Person invests in stocks.

Event B: Person invests in bonds.

65% of the people who inquire about investments at a certain brokerage firm end up investing in stocks

This means that [tex]P(A) = 0.65[/tex]

38% end up investing in bonds

This means that [tex]P(B) = 0.38[/tex]

36% end up investing in both stocks and bonds.

This means that [tex]P(A \cap B) = 0.36[/tex]

What is the probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both)?

This is [tex]P(A \cup B)[/tex], given by the following equation:

[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]

Considering the values we have for this problem:

[tex]P(A \cup B) = 0.65 + 0.38 - 0.36 = 0.67[/tex]

0.67 = 67% probability that a person who inquires about investments at this firm will invest in stocks or bonds (or both).

Answer:

x = 4

Step-by-step explanation:

1. 8x+1 = 33 and the 4x together

2. 8x = 32 subtract 1 from each side

3. x = 4 Divide both sides by 8

Answer:

x=4

Step-by-step explanation:

4x+4x+1=33

Combine like (similar) terms:

8x+1=33

Rearrange terms to solve for x:

8x=33-1

8x=32

[tex]\frac{8x}{8} =\frac{32}{8}[/tex]

x=4

Therefore, x=4.

Answer:

1 /64

Step-by-step explanation:

2^-6

We know that a^-b = 1/a^b

1 / 2^6

1/64

Answer:

16

Step-by-step explanation:

The absolute value always gives a positive value , that is

| - a | = | a | = a , then

| - 16 | = | 16 | = 16

Nuclear waste is a long term waste and is a major problem the world is facing regarding its disposal.

Answer :

Nuclear fission is exponential. This is known as chain reaction and a number of uranium atoms are fission together to increase exponentially.

Canada, for example produces electricity using the process of fission process in its nuclear reactors.

The nuclear waste includes :

These wastes remain radioactive and are dangerous for the human health.

A).

B).

Learn More :

https://brainly.com/question/1013815  

Answer:

A

Step-by-step explanation:

khan

Answer:

t+d/2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

5[tex]\sqrt{2x^3}[/tex] -5[tex]\sqrt{x^3}[/tex] + 5√x³ -√2x³ = 4[tex]\sqrt{2x^3}[/tex] = 4x√2x

6,3:y=4,2:2,4

y=3,6

Chọn a

Answer:

0.804

Step-by-step explanation:

Subtract 3.218 by 2.414

Answer:

2m² + 14m + 2

Step-by-step explanation:

3A + B

= 3(2m + 1) + 2m² - 1 + 8m ← distribute parenthesis by 3

= 6m + 3 + 2m² - 1 + 8m ← collect like terms

= 2m² + 14m + 2 ← in standard form

Answer: Width = 5 inches

Concept:

Here, we need to know the idea of the perimeter.

A perimeter is a path that encompasses/surrounds/outlines a shape.

Perimeter of rectangle = 2 (w + l)

w = width

l = length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

w = w

l = 3w - 2

P = 36 inches

Given formula

P = 2 (w + l)

Substitute the value into the formula

36 = 2 (w + 3w - 2)

Simplify values in the parentheses

36 = 2 (4w -2)

Divide 2 on both sides

36 / 2 = 2 (4w - 2) / 2

18 = 4w - 2

Add 2 on both sides

18 + 2 = 4w - 2 + 2

20 = 4w

Divide 4 on both sides

20 / 4 = 4w / 4

w = 5

Hope this helps!! :)

Please let me know if you have any questions

Answer:

A=45m²

Step-by-step explanation:

A=bh=9·5=45m²

Step-by-step explanation:

please mark this answer as brainlist

Answer:

It can be the line of best fit because it closely fits the data points.

Step-by-step explanation:

The line is near the data points and goes down from left to right just like the data points.  It is just above or just below the data points.

Answer:

guy above is right

Step-by-step explanation:

Answer:

a=9

Step-by-step explanation:

a^3 = 729

Taking the cube root of each side

a^3 ^(1/3) = 729^ (1/3)

a = 9

Answer:

Confidence Interval - "P" values  

(0.4433 , 0.5444 )

~~~~~~~~~~~~~~~~~~~~~~~

[tex]\mathrm{Expand\:}\left(x+4y\right)^3:\quad x^3+12x^2y+48xy^2+64y^3[/tex]

in you image it is the last on "D"

Step-by-step explanation:

Confidence Level - "P" values  

99% 2.58

Confidence Interval - "P" values  

(0.4433 , 0.5444 )  

The steps to create attached screenshot of the inscribed circle of triangle ΔABC using GeoGebra tools includes;

1) Clicking on the Geometry link, under Powerful Math Apps group

2) On the opened Geometry page click on the Polygon icon and follow the instructions that come up, which is Select all vertices and then the first vertex (selected) again (a second time)

3) Once the triangle is created, select the Angle Bisector icon, under the Construct group; A message will appear, asking to Select three points or two lines, select three vertex, of the triangle created with a mouse click, with the vertex A in the center, such as BAC, or CAB a straight line representing the angle bisector of angle ∠A is created

4) Repeat the above to create the angle bisector of angle ∠B

5) Click on the Point button under the Basic Tools group, then click on the intersection of the two angle bisectors created above, the point will be automatically labelled point D

6) Click on the Perpendicular Line, icon under the Construct group, then click on point D, and then the line AB to draw the perpendicular from D to AB

7) Click on the point Point icon and then the intersection point of the perpendicular from D and AB to label the point E

8) Click on the Circle with Center basic tool and then points D and E above, to create the inscribed circle of triangle ΔABC

9) Select the Segment tool, then select the center of the circle and a point

on the circumference. Click on the label, from the pop up options, select

the label option AA then change the label of the segment created to Radius

and select Show Label and Show Value. The inscribed circle of ΔABC created with GeoGebra tools is attached

Learn more about GeoGebra hear;

https://brainly.com/question/10400398

Answer:

Step-by-step explanation: from edmentum