6
4
2
0
A
2
4
C
6
8
What is the length of A"B"?
10 12
X
Triangle A'B'C' is created by dilating triangle with a scale factor centered at the origin

6420A24C68What Is The Length Of A"B"?10 12XTriangle A'B'C' Is Created By Dilating Triangle With A Scale

Answers

Answer 1

The length of A"B" is 20 units

How to determine the length of A'B'?

From the figure, we have:

A = (1, 4)

B = (4, 8)

The distance AB is:

[tex]AB = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]

So, we have:

[tex]AB = \sqrt{(1 -4)^2 + (4-8)^2[/tex]

Evaluate

[tex]AB = \sqrt{25[/tex]

This gives

AB = 5

The scale factor of dilation is 4.

So, we have:

A'B' = 5 * 4

Evaluate

A'B' = 20

Hence, the length of A"B" is 20 units

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Related Questions

Need help with Matrices!!

Answers

If I remember how to properly do matrices the answer should be:

-15 10 6
30 25 6
-15 0 16

please help its confusing me

Answers

Answer:

x=−9 and y=8

Step-by-step explanation:

Let's solve your system by elimination.

2x+3y=6;4x−y=−44

Multiply the first equation by -2,and multiply the second equation by 1.

−2(2x+3y=6)

1(4x−y=−44)

Becomes:

−4x−6y=−12

4x−y=−44

Add these equations to eliminate x:

−7y=−56

Then solve−7y=−56for y:

−7y=−56

-7y/-7 = = -56/-7

(Divide both sides by -7)

y=8

Now that we've found y let's plug it back in to solve for x.

Write down an original equation:

2x+3y=6

Substitute8 for y in 2x+3y=6:

2x+(3)(8)=6

2x+24=6(Simplify both sides of the equation)

2x+24+−24=6+−24(Add -24 to both sides)

2x=−18

2x/2 = -18/2 (Divide both sides by 2)

x=−9

Answer:

x=−9 and y=8

Answer:

x = -9

y = 8

Step-by-step explanation:

(using substitution)

4x-y = -44

4x + 44 = y

substitute (4x+44) as y in the other equation

2x + 3(4x+44) = 6

2x+12x+132 = 6

14x = -126

x = -9

then plug -9 as x into one of the equations to find y

4(-9) - y = -44

-36-y=-44

-y=-8

y=8

then check the answer by plugging in the values of x and y (-9 and 8) for x and y in one of the equations

4(-9) - (8) = -44

you get: -44 = -44, which is true, so the x and y values are correct

Fill in the digit on the right side of each equation so that each equation has an integer solution.
A) 35x−11=107....
B)9m+34=68....
C)7965−4m=19....


20 pts

Answers

The digit on the right side of each equation so that each equation has an integer solution are 2.74, 3.78 and 1986.5 respectively.

Equation

35x - 11 = 107

35x = 107 - 11

35x = 96

x = 96/35

x = 2.74

9m + 34 = 68

9m = 68 - 34

9m = 34

m = 34/9

m = 3.78

7965 - 4m = 19

-4m = 19 - 7965

-4m = -7946

m = -7946/-4

m = 1986.5

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When using BINOM.DIST to calculate a probability mass function, which argument should be set to FALSE?

Answers

The question is incomplete. Please read below to find the missing content.

D) cumulative is an argument that should be set to FALSE.

If we use cumulative =fake then we are able to get a precise probability

If we use cumulative= genuine, we will get less than or equal to possibility.

A sequence of actions wherein the effects are always unsure. I was tossing a coin, deciding on a card from a deck of playing cards, and throwing a cube. occasion. It is a single final result of a test. Getting a Head at the same time as tossing a coin is an occasion.

When using BINOM.DIST to calculate a probability mass function, which argument should be set to FALSE? Select an answer

A) number_s

B) probability_s

C) trials

D) cumulative

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Rounded to the nearest hundredth what is a positivite solution to the quadratic equation 0=2x^(2)+3x-8

OPTIONS
1.39
2.00
2.89
3.50

Answers

Step-by-step explanation:

the equation is

2x² + 3x - 8 = 0

the generic solution to such a quadratic equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

a = 2

b = 3

c = -8

x = (-3 ± sqrt(9 - 4×2×-8))/(2×2) =

= (-3 ± sqrt(9 + 64))/4 = (-3 ± sqrt(73))/4

x1 = (-3 + sqrt(73))/4 = (-3 + 8.544003745)/4 =

= 1.386000936... ≈ 1.39

x2 = (-3 - sqrt(73))/4

but that would negative, and therefore not a wanted solution.

x ≈ 1.39

is the targeted solution.

Provide the next step to derive the quadratic formula.
Step 1 : ax2+box+c=0
Step 2 : ax2+box=-c
Step 3 : x2 + b/ax=-c/a
Step 4 : ??

Answers

The next step to derive the quadratic formula is x² + (b/a)x + (b²/2a²)= -c/a + (b²/2a²)

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Step 1:

ax² + bx + c = 0

Step 2:

ax² + bx = -c

Step 3:

x² + (b/a)x = -c/a

Step 4:

x² + (b/a)x + (b²/2a²)= -c/a + (b²/2a²)

The next step to derive the quadratic formula is x² + (b/a)x + (b²/2a²)= -c/a + (b²/2a²)

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Help quick! pleaseeeeeee
A) The function ƒ(x) has a steeper slope than g(x).
B) The functions ƒ(x) and g(x) have the same slope.
C) The function g(x) has a steeper slope than ƒ(x).
D) There isn't enough information to determine which function has a steeper slope.

Answers

The slope of the function g(x) is greater than f(x) and so g(x) is steeper than f(x). The correct option is C.

What is a Straight Line Equation?

A straight line equation is represented by y = mx+c, where m is the slope and c is the y-intercept.

m is given by (y₂-y₁)/(x₂-x₁)

From the graph , the y-intercept is 4 and the two points on the line are    ( 0,4) and ( 1,1).

m = -3

c =4

The equation of the function g(x) is g(x) = -3x+4

The slope of the function g(x) is greater than f(x) and so g(x) is steeper than f(x).

Therefore, the correct option is C.

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cos(x)=2cos^2(x)-1 0≤x≤2π

Answers

Answer:

[tex]x=0,~x=\frac{2\pi }{3},\:x=\frac{4\pi }{3},~x=2\pi[/tex]

Step-by-step explanation:

The given equation:

[tex]\cos(x)=2\cos^2(x)-1[/tex]

Let [tex]\cos(x)[/tex] be [tex]y[/tex]:

[tex]y=2y^2-1[/tex]

Rewrite as:

[tex]2y^2-y-1=0[/tex]

After solving quadratic equation, the solutions are:

[tex]y=1~~~~y=-\frac{1}{2}[/tex]

Substitute back [tex]\cos(x)[/tex], it follows:

[tex]\cos(x)=1~~~~\cos(x)=-\frac12[/tex]

For the first equation, the solution is [tex]x=0[/tex] and [tex]x=2\pi[/tex].

For the second equation, general solution is:

[tex]x=\frac{2\pi }{3}+2\pi n,\:x=\frac{4\pi }{3}+2\pi n[/tex]

But for the given interval, we must substitute n=0 into the equations so that the values of x must be within interval. Therefore:

[tex]x=\frac{2\pi }{3},\:x=\frac{4\pi }{3}[/tex]

So, the answers are:

[tex]x=0,~x=\frac{2\pi }{3},\:x=\frac{4\pi }{3},~x=2\pi[/tex]

CAN SOMEONE HELP PLEASE
m4A=42°, b=10, c= 12. What is the length of a to the nearest tenth?

Answers

Answer:

a = 8.1

Step-by-step explanation:

Use the cosine rule:

[tex]a = \sqrt{b^2 + c^2 -2 bc \space\ cosA }[/tex]

Substituting the values:

[tex]a = \sqrt{10^2 + 12^2 -2(10)(12) \space\ cos 42 \textdegree\ }[/tex]

⇒ [tex]a = \sqrt{4 \space\ cos 42\textdegree\ }[/tex]

⇒ [tex]a = 8.1[/tex]

The function f(x) = 5* is reflected over the y-axis. Which equations represent the reflected function? Select two
options.
f(x) = -(5)-*
0x==3(2)
Of(x) = 5(2)
f(x) = 5(5)
f(x) = 5(5)-*

Answers

Step-by-step explanation:

To reflect a function about the vertical axis, just negate the variable.

For example, if we want to reflect this function

[tex] y = log(x) [/tex]

about the y axis or vertical axis, we just make the x negative

[tex]y = log( - x) [/tex]

Another example,

[tex]y = |x| [/tex]

To reflect about y axis or vertical axis,

[tex]y = | - x| [/tex]

So here l,the answer with negative variables are function that are reflected about the y axis.

The options are the first and the fifth option.

How do I even do this...

Answers

Answer:

x = 2 ± [tex]\sqrt{15}[/tex]

Step-by-step explanation:

x² - 4x - 11 = 0 ( add 11 to both sides )

x² - 4x = 11

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 2)x + 4 = 11 + 4

(x - 2)² = 15 ( take square root of both sides )

x - 2 = ± [tex]\sqrt{15}[/tex] ( add 2 to both sides )

x = 2 ± [tex]\sqrt{15}[/tex]

find the exact value

Answers

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is [tex]\frac{\sqrt{2+\sqrt{3}}}{2}[/tex].

How to find the exact value of a trigonometric expression

Trigonometric functions are trascendent functions, these are, that cannot be described algebraically. Herein we must utilize trigonometric formulae to calculate the exact value of a trigonometric function:

[tex]\sin \frac{5\pi}{12} = \sqrt{\frac{1 - \cos \frac{5\pi}{6} }{2} }[/tex]

[tex]\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \cos \frac{\pi}{6} }{2} }[/tex]

[tex]\sin \frac{5\pi}{12} = \sqrt{\frac{1 + \frac{\sqrt{3}}{2} }{2} }[/tex]

[tex]\sin \frac{5\pi}{12} = \sqrt{\frac{2+\sqrt{3}}{4} }[/tex]

[tex]\sin \frac{5\pi}{12} = \frac{\sqrt{2+\sqrt{3}}}{2}[/tex]

By using properties for trigonometric functions and trigonometric expressions, we find that the exact value of the sine of the angle 5π/12 radians is [tex]\frac{\sqrt{2+\sqrt{3}}}{2}[/tex].

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How many heartbeats is 4800 in a day? Put your answer in scientific notation

Answers

Answer:

Step-by-step explanation:

4.8 x 10^3   heartbeats/day

Answer: A humans heart average per minute is 80 then you got one hour 60 x 80 equals 4800

which would be 4.8x 10 over 3 which is your answer

Step-by-step explanation:

How to work out this linear stimultaneous equations

Answers

Step-by-step explanation:

extract the third equation from one of the given equation by making at most one variable with 1 as the coefficient the subject of the equation.[tex] x = 2 - y...........(3)[/tex]now substitute the third equation to the other equation *Not the one you extracted the new equation from*[tex]y = 2 ({2 - y})^{2} + (2 -y ) - 2[/tex]After substituting simplify[tex]y = 2(2 - y)(2 - y) + 2 - y - 2 \\ y = 2(4 - 2y - 2y + {y}^{2} ) + 2 - y - 2 \\ y = 2(4 - 4y + {y}^{2} ) - y \\ y = 8 - 8y + 2 {y }^{2} - y[/tex]Therfore group the terms in the form of a general Quadratic equation.

CAN YALL PLEASE WORK IT OUTTT

$18.79 + $2.11 + ‐$1.92 + $17.28

Answers

Answer:

40.1

Step-by-step explanation:

Because the order of operations (Bodmas or Pedmas) tells you to add from left to right. So you would do 18.79 + 2.11 = 20.9, then you would do 20.90 + 1.92 (Add 0 at the end of 20.9) = 22.81. Then you will add 22.81 + 17.28 = 40.1. So your answer is 40.1. Hope this helps!

1. Complete the table to identify habits that you have that both increase and
decrease your risk of being a victim of fraud or identity theft. Write at least three
habits in each column. (6 points)

Answers

Some habits that you can engage in that would increase your risk of being victim of fraud or identity theft are:

Using the same simple password for several online accounts. Not checking your banking and credit card statements regularly. Posting too much of your life on social media.

You can be less at risk of fraud or identity theft if you:

Use multiple passwords for separate accounts. Keep an eye on your credit card and bank statement reports. Update your security and app software often.

How can you avoid being a victim of fraud or identity theft?

When you use the same password for various accounts, all those accounts are at risk if the password is stolen. So using multiple passwords is best.

You should also regularly monitor your credit card statements and bank reports to check for unfamiliar expenses which can be flagged immediately.

Also update your apps regularly as they come with security patches to protect your data. Avoid sharing too much information on social media as these can be used to predict your passwords.

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Which graph shows the solution to the system of linear inequalities?

x – 4y < 4

y < x + 1

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything above of the line is shaded. The second solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything above the line is shaded. The second solid line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 1) and (4, 0). Everything below the line is shaded. The second dashed line has a positive slope and goes through (negative 1, 0) and (0, 1). Everything below the line is shaded.

Answers

The expression square root of 25/49 can be given as 5/7

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Inequality is the non equal comparison of two or more numbers and variables.

The solution to the system of inequalities x – 4y < 4 and y < x + 1 is shown in the graph.

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Answer:

its c

Step-by-step explanation:

Find the length of CD shown in red below. Show all work.

Answers

By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.

How to calculate the length of an arc

The figure presents a circle, the arc of a circle (s), in inches, is equal to the product of the central angle (θ), in radians, and the radius (r), in inches. Please notice that a complete circle has a central angle of 360°.

If we know that θ = 52π/180 and r = 6 inches, then the length of the arc CD is:

s = [(360π/180) - (52π/180)] · (6 in)

s ≈ 32.254 in

By definition of circumference, the length of the arc EF (radius: 6 in, central angle: 308°) shown in red is approximately equal to 32.254 inches.

Remark

The statement has typing mistakes, correct form is shown below:

Find the length of the arc EF shown in red below. Show all the work.

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Which of the following is correct equation for the trend line in the scatter plot? A. Y= 2/5 x -2 B. Y= 5x-1 C. Y= 5x +5 D. Y= -x+5

Answers

Answer: C. Y = 5x + 5

Step-by-step explanation:

    We need to write, or decide on, the equation for the blue line as this line represents the trend line for this scatter plot. We will write this in slope-intercept form. See attached for a visual.

    First, we will find our slope. We will use [tex]\frac{rise}{run}[/tex] for this since we have a graph with clear points. See attached, we count up [5] and then count to the right [1] for a slope of 5.

     -> Slope = 5

   Now, we will find our y-intercept. This is where the line intersects the y-axis. The line hits the y-axis at point (0, 5) giving us a y-intercept of 5.

     -> Y-intercept = 5

   Lastly, we will write our equation and decide on an answer.

y = mx + b

y = (5)x + (5)

Y = 5x + 5

             C. Y = 5x + 5

I’m confused on this

Answers

Answer:

x = 25

Step-by-step explanation:

The mistake here is the squaring. When you square one side, you have to do the same on the other side:

[tex]\sqrt{3x+6}[/tex] = 9

[tex](\sqrt{3x+6}) ^{2}[/tex] = [tex]9^{2}[/tex]

3x + 6 = 81

3x = 75

x = 25

[tex]\huge\boxed{x=25}[/tex]

The mistake is in Step 1. The solver should have also squared [tex]9[/tex] when squaring the other side of the equation.

Correctly solving

[tex]\begin{aligned}\sqrt{3x+6}&=9\\(\sqrt{3x+6})^2&=9^2\\3x+6&=81\\3x+6-6&=81-6\\3x&=75\\\frac{3x}{3}&=\frac{75}{3}\\x&=25\end{aligned}[/tex]

Find the length of JH help pls

Answers

Answer:

19 units

Step-by-step explanation:

JM is 40 units, and it is composed of JH and HM. HM is 21 units, and so JH must be the remaining units.

40 - 21 = 19

Brainliest, please :)

For f(x)=4x+1 and g(x) = x^2 - 5, find (f+g)(x).

Answers

Answer:

(f + g)(x) = x² + 4x - 4  

Step-by-step explanation:

The statement (f + g)(x) is the same as f(x) + g(x). In other words, the question simply wants you to add the two functions together.

f(x) = 4x + 1

g(x) = x² - 5

(f + g)(x)                                  <----- Original statement

f(x) + g(x)                                <----- Rewrite

(4x + 1) + (x² - 5)                     <----- Substitute the equations in f(x) and g(x)

4x + x² - 4                              <----- Add 1 and -5

x² + 4x - 4                              <----- Rearrange the terms

HELP QUICKLY PLEASE!!!!!!!!

Answers

Answer: 20

Step-by-step explanation:

     We will set up a proportion to solve.

[tex]\displaystyle \frac{?}{16}=\frac{15}{12}[/tex]

   Now, we will cross-multiply.

12 * ? = 16 * 15

12? = 240

? = 20

Write the equation of an ellipse with center (-2,-3), vertical major axis of length 14, and minor axis of
length 8.

Answers

Step-by-step explanation:

Since we have a vertical major axis, our ellipse is vertical.

The equation of a vertical ellipse is

[tex] \frac{(y - k) {}^{2} }{ {a}^{2} } + \frac{(x - h) {}^{2} }{ {b}^{2} } = 1[/tex]

where

(h,k) is the center

a is the semi major axis,

b is the semi minor axis

First, let plug in our center

[tex] \frac{(y + 3) {}^{2} }{ {a}^{2} } + \frac{(x + 2) {}^{2} }{ {b}^{2} } = 1[/tex]

Semi means half, so

a is half of 14 which is 7

B is half of 8, which is 4.

[tex] \frac{(y + 3) {}^{2} }{49} + \frac{(x + 2) {}^{2} }{16} = 1[/tex]

A grab bag contains 12 packages worth $.70 each, 15 packages $.40 cents each, and 25 packages worth $.30 each. what is the expected value if you have to pay $.50 to pick one package at random?
group of answer choices

$0.47

-$0.08

$0.00

$0.01

Answers

The expected value of the discrete distribution, if you have to pay $.50 to pick one package at random, is of -$0.08.

What is the mean of a discrete distribution?

The expected value of a discrete distribution is given by the sum of each outcome multiplied by it's respective probability.

For this problem, considering the cost of $0.5, the distribution is given as follows:

P(X = 0.2) = 12/(12 + 15 + 23) = 12/50 = 0.24.P(X = -0.1) = 15/(12 + 15 + 23) = 15/50 = 0.3.P(X = -0.2) = 23/(12 + 15 + 23) = 23/50 = 0.46.

Hence the expected value is given by:

E(X) = 0.2 x 0.24 - 0.3 x 0.1 - 0.2 x 0.46 = -$0.08.

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Triangles A B C and X Y Z are shown. Sides A C and Z X are congruent. Angles B A C and Z X Y are 35 degrees. Angle X Z Y is 47 degrees. Angle A B C is 98 degrees.

Determine the rigid transformations that will map ΔABC to ΔXYZ.
Translate vertex B to vertex Z; reflect ΔABC across side AB.
Translate vertex X to vertex C; rotate ΔXYZ to align the sides and angles.
Reflect ΔABC across side AB; translate vertex C to vertex X.
Translate vertex X to vertex A; rotate ΔXYZ to align the sides and angles.

Answers

Translate vertex X to vertex A; rotate ΔXYZ to align the sides and angles.

We know that the sum of angles of a triangle is always. In ΔXYZ,

What is the sum angle of the triangle?

[tex]\angle A + \angle B + \angle C=180^0[/tex]

[tex]35^0+\angle Y+47^0=180^0[/tex]

[tex]\angle y=98^0[/tex]

In both triangles, it is noticed that the sides AC and XZ are equal. In given triangles [tex]\angle A=\angle X=35^0[/tex]and.[tex]\angle B = \angle Y =98^0[/tex]

By the AAS rule of congruence, ΔABC and ΔXYZ are congruent triangles, therefore we can transform ΔABC to ΔXYZ. For the transformation of ΔABC to ΔXYZ translate the vertex having the same angle and rotate the triangle to align the sides and angles.

Since vertex X and vertex A have the same angle, therefore we translate vertex X to vertex A and rotate ΔXYZ to align the sides and angles.

Hence the correct option is d.

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Answer:

D: Translate vertex X to vertex A; rotate ΔXYZ to align the sides and angles.

Step-by-step explanation:

edge 2022

Pls I will get spanked if you don't help me.

How many meters are equal to 3 kilometers? Use the pattern in the number of zeros of the product when multiplying by a power of 10 to help you.

Answers:
30 meters
300 meters
3,000 meters
30,000 meters

Answers

1KM = 1000metres

3KM =3000metres

Drag each ratio to the correct location on the image. Not all ratios will be used.
Match each ratio of the volumes of two solids to the pair of solids it represents.
3:1
2r: 3h
h: 4r
4r: h
4r: 3h
4:1

Answers

Answer:

cylinder to cone = 3:1

sphere to cylinder = 4r:3h

cone to sphere = h:4r

hemisphere to cylinder = 2r:3h

Step-by-step explanation:

To prove part of the triangle midsegment theorem using the diagram, which statement must be shown?
The length of JK equals the length of JL.
The length of GH is half the length of KL.
The slope of JK equals the slope of JL.
The slope of GH is half the slope of KL.

Answers

The statement which the diagram shows is that the length of GH is half of the length of KL . Option B

What is the midsegment theorem?

The midsegment theorem holds that any segment that forms the joining midpoints of two sides of a triangle is parallel to half the length of the third side.

It can be seen that the length of GH is half of the length of KL as deduced from the diagram

Therefore, the statement which the diagram shows is that the length of GH is half of the length of KL . Option B

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rewrite each expression without using absolute value notation |x-y| if x>y

Answers

The expression |x - y| without using absolute value notation is x - y

How to rewrite the expression?

The expression is given as:

|x - y|

Also, we have:

x > y

This means that:

|x - y| > 0

Remove the absolute notation

x - y

Hence, the expression |x - y| without using absolute value notation is x - y

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Other Questions
Which of the following options have the same value as 40% percent of 84?Choose 2 answers 7.Give an example to show that each statement below is not true.a) "The product of two different primes is never even."b) "The sum of two different primes is never prime."ection One - Number Given the arithmetic sequence where a_{1} = - 5 and d = 6 , what is a_{5} ? The function f(x) goes through the point (1, 8). What point will this translate to in the function f(x) = (x - 4) + 5? HELP ME I AM TOST DOSE ANYONE KNOW THIS What is the equation of line b d, simplified? y y1 = m(x x1) y 0 = (startfraction 2 b over 2 a minus c endfraction)(x c) y = (startfraction b over a minus c endfraction)x (startfraction 2 b c over 2 a minus c endfraction) y = (startfraction 2 b over 2 a minus c endfraction)x (startfraction b c over 2 a minus 2 c endfraction) y = (startfraction 2 b over 2 a minus c endfraction)x (startfraction 2 b c over 2 a minus c endfraction) y = (startfraction 2 b over a minus c endfraction)x (startfraction 2 b c over a minus c endfraction) 2. In the later part of the semester, you read 1984. Choose a theme from the novel. State the theme and explain it in the context of the novel. Then discuss how the theme relates to readers lives today. Use details from the novel to support your ideas. Write your response in two or three well-developed paragraphs. Simplify. ( 2 questions ) Select all the correct answers.Which two of the following actions can you take to help influence your state or federal government?persuade people to voterefuse to serve on a jurytake loans from bankssign a petition to change a policy The Economy Tomorrow Suppose a countrys GDP is $10 billion and the population is 2 million this year.a. Calculate GDP per capita for this year. $ 5000 (correct answer)b. Calculate GDP per capita for next year if the population grows by 5 percent and there is no change in output. $ c. Calculate GDP per capita for next year if the population grows by 1 percent and output grows by 3 percent A(n) ________ reinforcer refers to an unpleasant stimulus whose removal leads to an increase in the probability that a preceding response will be repeated in the future. To make a decision to attempt to build an application system based on what was left after a previous attempt ended in failure primarily because of the large investment the company made in the failed project most likely was made by a manager who did not fully understand: Group of answer choices Direct Costs Sunk Costs Learning Curve Costs Reserves Costs Indirect Costs Determine the equation, in both factored and standard forms, of a parabola with zeros at (-2, 0) and (5, 0) and passes through the point (-1, -4) Find the missing side length of the triangle _____________ factors are conditions inside of your vehicle,such as distracting passengers, loud music, and doing other things while driving, that may cause you to drive unsafely. Please solve this question, i have exams tommorow :( What kind of space is it when an artist chooses to draw the space around an object rather than drawing the object itself You notice your voices have risen as the conflict has escalated. You lower your voice and attempt to answer moderately. "Do you mean to pressure me into a title of your choosing, Julia?" you ask."I don't care what you call it," she retorts.What should you do?Ask Julia to sit down with you later to discuss all that she has been doing for the organization. Suggest she gather facts and information to support what she tells you.Walk over and close the door. You don't want to add a public nature to the conversation that might make Julia feel ashamed, and you don't want everyone in the office to know your business.Acknowledge to Julia that she has been important to the organization from the start and that you value your relationship. Let her know you will always value the relationship.Walk over to Julia and give her a hug. After all, business is about relationships, and you and Julia actually started with a relationship in college long before the business. Another way to read history is to look for cusses and effects an you read What cause and effect relationship A balloon floats 18.5 kilometers eastand then 24.6 kilometers north.What is the angle of theballoon's resultant vector?Hint: Draw a vector diagram.[?]Round your answer to the nearest tenth.