HELP HELP HELPPPP PLEASEEE
Directions: Determine if segments AB and CD are parallel, perpendicular, or neither.
AB formed by (-2, 13) and (0, 3)
CD formed by (-5, 0) and (10, 3)

HELP HELP HELPPPP PLEASEEEDirections: Determine If Segments AB And CD Are Parallel, Perpendicular, Or

Answers

Answer 1

Given:

AB formed by (-2,13) and (0,3).

CD formed by (-5,0) and (10,3).

To find:

Whether the segments AB and CD are parallel, perpendicular, or neither.

Solution:

Slope formula:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

AB formed by (-2,13) and (0,3). So, the slope of AB is:

[tex]m_1=\dfrac{3-13}{0-(-2)}[/tex]

[tex]m_1=\dfrac{-10}{2}[/tex]

[tex]m_1=-5[/tex]

CD formed by (-5,0) and (10,3). So, slope of CD is:

[tex]m_2=\dfrac{3-0}{10-(-5)}[/tex]

[tex]m_2=\dfrac{3}{10+5}[/tex]

[tex]m_2=\dfrac{3}{15}[/tex]

[tex]m_2=\dfrac{1}{5}[/tex]

Since [tex]m_1\neq m_2[/tex], therefore the segments AB and CD are not parallel.

[tex]m_1\times m_2=-5\times \dfrac{1}{5}[/tex]

[tex]m_1\times m_2=-1[/tex]

Since [tex]m_1\times m_2=-1[/tex], therefore the segments AB and CD are perpendicular because product of slopes of two perpendicular lines is always -1.

Hence, the segments AB and CD are perpendicular.

Answer 2

Answer:

AB is perpendicular to CD.

Step-by-step explanation:

AB formed by (-2, 13) and (0, 3)

CD formed by (-5, 0) and (10, 3)

Slope of a line passing through two points is

[tex]m= \frac{y''-y'}{x''- x'}[/tex]

The slope of line AB is

[tex]m= \frac{3- 13}{0+2} = -5[/tex]

The slope of line CD is

[tex]m'= \frac{3 -0 }{10+5} = \frac{1}{5}[/tex]

As the product of m and m' is -1 so the lines AB and CD are perpendicular to each other.


Related Questions

a car averaged 72 kph .on a trip if the car travelled for 9 hours how far did it go

Answers

answer:

648 km

Explanation:

d = v x t
d = 72 x 9
d = 648 km

Answer:

648 km

Step-by-step explanation:

distance travelled= speed * time

distance= 72kph * 9 hours

distance= 648 km

School is stressful.
Also, I don't know what I am supposed to put in this text box.​

Answers

Answer: A) 4

Explanation:

For any 30-60-90 triangle, the short leg is half as long as the hypotenuse.

The short leg is opposite the smallest angle (30 degrees), so we see that

x = 8/2 = 4.

Please answer this asap. explanation would be appreciated. i don’t understand this

Answers

Answer:

First, find the value of x:

[tex]h(5-x)=h(9)\\5-x=9\\-x=9-5\\-x=4\\x=-4[/tex]

Substitute the x-value in to the function [tex]x^{2}+x+1[/tex] and solve:

[tex](-4)^{2}+(-4)+1=16-4+1=12+1=13[/tex]

Therefore, the value of h(9) = 13.

Hope this is correct O-o

Answer:

A

Step-by-step explanation:

Since we need to find the value of h(9), we can substitute the (5-x) part from the original equation with 9 to get the value of x, which is 5-x = 9, x = -4. With that, we can go ahead and plug the x into the right side of the equation to get (-4)^2 + (-4) + 1, which equals 16 - 4 + 1, which equals 13.

I hope this helped! Please do let me know if you have further questions :D

A student correctly evaluated an expression with P = -2 and a = 3 and got 3 as the result. Which of the following expressions could she have been evaluating

Answers

Answer:

B

Step-by-step explanation:

A student correctly evaluated an expression where p = -2 and q = 3 and acquired 3 as the result.

And we want to determine which expression could the student have been evaluating.

Thus, we simply need to check each expression by letting p = -2 and q = 3 and see which one equals 3.

Checking the first one:

[tex]\displaystyle \begin{aligned} 3p^2 +2pq - 6q +2 &= 3(-2)^2+2(-2)(3)-6(3) + 2\\ &= (12)+(-12) +(-18) + 2 \\ &=-16\end{aligned}[/tex]

The result is not 3. Hence, A is not correct.

The second expression:

[tex]\displaystyle \begin{aligned} p^3 + 2p^2q-p^2+2pq+q &= (-2)^3+2(-2)^2(3)-(-2)^2+2(-2)(3)+(3)\\ &= (-8)+(24)-(4)+(-12)+(3) \\ &= 3\stackrel{\checkmark}{=}3\end{aligned}[/tex]

Therefore, we can conclude that our answer is B.

We can check the other two regardless.

The third expression:

[tex]\begin{aligned} p^2+q-4q^2 &= (-2)^2 + (3) - 4(3)^2 \\ &= (4) + (3) -(36) \\ &= -29\end{aligned}[/tex]

And the fourth:

[tex]\displaystyle \begin{aligned} p^2+3q^2-q^2+p &= (-2)^2+3(3)^2-(3)^2+(-2) \\ &= (4) + (27) - (9) + (-2) \\ &= 20\end{aligned}[/tex]

Thus, neither the third expression nor the fourth is also correct.

In conclusion, our answer is B.

Factor 2x2c2 + 3xc2 − 35c2. Show your work.

Answers

Answer:

c²(x + 5)(2x - 7)

Step-by-step explanation:

2x²c² + 3xc² - 35c² =c²(2x² + 3x - 35) =c²(2x² + 10x - 7x - 35) =c²(2x(x + 5) - 7(x + 5)) =c²(x + 5)(2x - 7)

[tex]\\ \sf\longmapsto 2x^2c^2+3xc^2-35c^2[/tex]

Take c^2 common

[tex]\\ \sf\longmapsto c^2(2x^2+3x-35)[/tex]

Factor the brackets

[tex]\\ \sf\longmapsto c^2(2x^2+10x-7x-35)[/tex]

[tex]\\ \sf\longmapsto c^2(2x(x+5)-7(x+5))[/tex]

[tex]\\ \sf\longmapsto c^2(2x-7)(x+5)[/tex]

I need help on this question pls

Answers

56/64 = 7/8

7/8 x 120

105.

Given that ABCD is a rhombus, what is the value of x?
B
C.
(3x + 12)
D
A. 19.5
B. 78
C. 15.8
D. 26
E. 52
F. Cannot be determined

Answers

Answer:

Diagonals of a rhombus intersect at right angles

Therefore, [tex]\angle AOD=90[/tex]

[tex]Now,in\: \bigtriangleup AOD[/tex]

[tex]\angle OAD+\angle AOD+\angle ADO=180[/tex]

[tex]x+90+3x+12=180[/tex] [tex]\leftarrow [combing \: like\: terms][/tex]

[tex]4x+102=180\\-102 \: -102[/tex] [tex]\leftarrow [subtracting \:102 ][/tex]

[tex]\frac{4x}{4} =\frac{78}{4} \leftarrow [dividing \: by\: 4][/tex]

[tex]x=19.5[/tex] [tex]\Longleftarrow[/tex]

OAmalOHopeO

a regular deck of cards has a total of 52 cards. (Note: Aces count as 1.) if one card is drawn at random from the deck, find the probability of the following events: it a 7, 8, or a king

Answers

In a deck of cards, there are four cards of each number.
7s - 4:52 or
8s - 4:52

There are also 4 Kings
Kings - 4:52

Simplified, these probabilities are 1:13 SEPERATE.

Together, it would be:
(4)3 = 12:52, which would be 3:13

Good luck :)

HELP PLZ!!!!!!!!!!!!!!!!!

Answers

Step-by-step explanation:

[tex]15)2n \\ 16)1 \times {10}^{7} \\ 17) {m}^{5} \\ 18)xy \\ 19)5 {n}^{2} - 6 \\ = - 6 \\ 20)9 {a}^{ 3} + 1 \\ = \frac{d}{da} (9a {}^{ 3} + 1) \\ 21) {x}^{3} . {y}^{3} \\ = (x.y) {}^{3} \\ = {x}^{3} {y}^{3} \\ 22)c {}^{4} .d {}^{6} \\ = {c}^{4} {d}^{6} \\ 23)3e + {e}^{2} \\ = e(e + 3) \\ \\ \\ hope \: it \: is \: help \: to \: you[/tex]

15 2 times n

16 10 race to the power 7

17 m race to the power 5

18 x times y

19 6 subtracted from 5 times n race to the power 2

20 1 added to 9 times a race to the power 3

21 x race to the power 3 times y race to the power 2

22 c race to the power 4 times d race to the power 6

23 3 times e added to 2 times e race to the power 2

Must click thanks and mark brainliest

Find "k" if a force of 10 Newtons produces an extension of 5 cm.

Answers

K = 5n/m

F=KE

K= F/E

= 10/5

K = 5n/m

which of the following are polynomials

Answers

E is definitely a polynomial. it has 3

Based on information from a large insurance company, 68% of all damage liability claims are made by single people under the age of 25. A random sample of 53 claims showed that 41 were made by single people under the age of 25. Does this indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company

Answers

Answer:

No, it doesn't indicate that the insurance claims of single people under the age of 25 is higher than the national percent reported by the large insurance company

Step-by-step explanation:

Let's first state the hypotheses.

Null hypothesis; H0: p = 0.68

Alternative hypothesis; Ha: p > 0.68

A random sample of 53 claims showed that 41 were made by single people under the age of 25.

Thus; p^ = 41/53 = 0.7736

Let's find the test statistic from the formula;

z = (p^ - p_o)/√(p_o(1 - p_o)/n)

z = (0.7736 - 0.68)/√(0.68(1 - 0.68)/41)

z = 0.0936/0.07285

z = 1.28

From online p-value from z-score calculator, using z = 1.28, one tail hypothesis and significance level of 0.05,we have;

P(z > 1.28) = 0.100273

The p-value gotten is greater than the significance value and so we fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim.

a sailboat travels a distance of 2 1/2 miles in 1/6 of an hour.which complex fraction represents the unit rate in miles per hour.​

Answers

Answer:

2 1/2 miles = 1/6 hours 2 1/2 miles * 6 = 1/6 hours * 6 12 1/2 miles = 6/6 hours 12 1/2 miles = 1 hour 12 1/2 miles/hr

Answer:

[tex]\frac{\frac{5}{2} * 6 }{\frac{1}{6} * 6}[/tex] = [tex]\frac{\frac{30}{2} }{\frac{6}{6} }[/tex]

Step-by-step explanation:

Point M is the midpoint of AB. The coordinate of point A are (-8,3) and the coordinates of M are (-2,1). What are the coordinates of point B?

Answers

Answer:

(4, -1)

Step-by-step explanation:

xB = -2+(-2-(-8)) = -2 +6 = 4

yB = 1+(1-3)=1+(-2) = -1

so, the coordinates of point B => (4, -1)

Write an expression for the sequence of operations described below. multiply 3 by t, triple the result, then raise what you have to the 8th power not simplify any part of the expression .

Answers

Answer: 43046721(t^8)

Step-by-step explanation:

So first, multiply 3 by t to get 3t. Then, multiply it again by 3 to get 9t. Raise it to the 8th power to get (9^8)(t^8). This gives you 43046721(t^8)

ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!

Answers

Answer:

C. 12 for $6.00

Step-by-step explanation:

Answer:

C. 12 for $6.00

Step-by-step explanation:

better than $13.00 for 24. as that'd be $6.50 for 12..

PLS ANSWER ASAP NO WRONG ANSWERS

Answers

Hi there!

Looking at the graph, the first intersection point is clear. The red parabola and  blue line clearing intersect at the point (0, -1).

Find the second intersection point by setting the equations of both graphs equal to each other.

Line: y = 3x - 1

Parabola: y = 4x² - 1

Find another intersection point by setting these two equations equal to each other:

4x² - 1 = 3x - 1

Bring all terms onto one side:

4x² - 3x = 0

Factor out x:

x(4x - 3) = 0

Set 4x - 3 to 0 and solve:

4x - 3 = 0

4x = 3

x = 3/4

Plug in this value of x into an equation to solve for the y-coordinate. Use the linear equation for ease:

y = 3(3/4) - 1

y = 9/4 - 1

y = 5/4

(3/4, 5/4)

One-third of a number when subtracted from double of itself is equal to 10. Find the number.

2x−x3=10

X=?

Answers

Answer:

number is 6

Step-by-step explanation:

let the number be x , then double the number is 2x and

2x - [tex]\frac{1}{3}[/tex] x = 10 ( multiply through by 3 to clear the fraction )

6x - x = 30

5x = 30 ( divide both sides by 5 )

x = 6

That is the number is 6

95°
6rº + 47°
r_ degrees

Answers

Answer:

r = 8°

Step-by-step explanation:

95° = 6r° + 47° ( vertically opposite angles are equal)

6r° = 95° - 47°

6r = 48°

r = 48°/6

r = 8°

Answer: r = 8

Step-by-step explanation:

The angles a VOA vertically opposite angles which means they are congurent and equal

6r + 47 = 95

6r = 95 - 47

6r = 48

r = 48/6

r = 8

please click thanks and mark brainliest if you like :)

A rectangular garden has links twice as great as it's with a second rectangular garden has the same link as the first garden and with that is for meters greater than the width of the first garden the second Gordon has area of 120 m² what is the length of the two gardens

Answers

Solution :

For the bigger rectangle

Width of bigger rectangle = W

Length of bigger rectangle, L = 2W

For the smaller rectangle

Width , w = W+4

Length, l = L = 2W

Area, a =120 [tex]m^2[/tex]

Now we know,

Area = length x width

[tex]$a=l \times w$[/tex]

[tex]$120=(2W) \times (W+4)$[/tex]

[tex]$120=2W^2 + 8W$[/tex]

[tex]$2W^2+8W-120=0$[/tex]

[tex]$W^2+4W-60=0$[/tex]

[tex]$(W+10)(W-6) = 0$[/tex]

We get, either [tex]W=-10[/tex]   (rejecting)

                or     [tex]W=6[/tex]

∴ length of the bigger rectangle, [tex]$L=2W $[/tex]

                                                          = 2(6)

                                                           = 12 m

 Length of the smaller rectangle, [tex]$L=2W$[/tex]

                                                            = 2(6)

                                                           = 12 m

Hence, the length of the two gardens is 12 m.                                                            

d =(√3−(−2√3))2+(−√2−5√2)2

Answers

Answer:

99

Step-by-step explanation:

(√3−(−2√3))^2+(−√2−5√2)^2

Subtracting a negative is like adding

(√3+(2√3))^2+(−√2−5√2)^2

Taking the first term

(√3+(2√3))(√3+(2√3))

sqrt(3)^2 +2 sqrt(3) * sqrt(3) +2 sqrt(3) * sqrt(3)  + (2 sqrt(3))^2

3 + 2 *3 + 2*3 + 4*3

3 +6+6+12

27

Second term

(−√2−5√2)(−√2−5√2)

-sqrt(2)*-sqrt(2) -sqrt(2)*-5sqrt(2) -sqrt(2)*-5sqrt(2) -5sqrt(2)*(-5sqrt(2))

2 +5*2 +5(2) +25(2)

2+10+10+50

72

Add the two terms together

27+72

99

Answer:

d = 6(√3 - 2√2)

Step-by-step explanation:

d = (√3 - (-2 √3) * 2 + (-√2 - 5√2) * 2

d = (√3 + 2√3)   * 2 + (-√2 - 5√2) * 2

d = 3√3              * 2 + (-6√2)         * 2

d = 6√3                   + (-12√2)

d = 6√3 - 12√2

d = 6(√3 - 2√2)

What is the solution to the equation below? (round your answer two decimal places)
e^x=7.1

Answers

Answer:

Step-by-step explanation:

In order to undo that e, you need to take the natural log of both sides:

[tex]ln(e^x)=ln(7.1)[/tex] the ln and the e cancel each other out, leaving us with

x = ln(7.1) so

x = 1.96

Find the missing segment in the image below

Answers

Answer:

again it has a ratio

Step-by-step explanation:

follow this steps.

firstly look at the side and you got the ratio 24/16

secondly write 42/? and multiply by 24/16

the answer is ?*24=42*16 and divide it by 8 and write again ?*3=42*2 and finally the answer is ?=28

The answer to the missing portion is 28

PLZ HELP AND EXPLAIN!! I'll give brainy


For this exponential function,

what is the output value (y),

when the input value (x) is 2?



y = 10.5x




(2, [?])

Answers

Answer:

(2,21)

Step-by-step explanation:

y = 10.5x

it says that x=2 and when you plug the 2 in the equation you would get

y = 10.5(2)

then multiply the 2 and 10.5

y=21

that is my answer

glad yo help

In a mathematics class, half of the students scored 79 on an achievement test. With the exception of a few students who scored 49, the remaining students
scored 78. Which of the following statements is true about the distribution of scores?
A. The mean is greater than the mode.
B. The mean is greater than the median.
C. The mean and the median are the same.
OD. The mean is less than the median

Answers

Answer:

i went with mean is less than median

Step-by-step explanation:

other website lol

1 pump fill resovoir in 60 hrs other 80 hrs other 90 hrs when they are together how long to fill resovoir? Rsm

Answers

Answer:

24.83 hours

Step-by-step explanation:

Given that :

Let time taken by pumps be :

Pump A = 60 hours

Pump B = 80 hours

Pump C = 90 hours

Recall :

Rate = 1 / time taken

The rates of the pumps are :

Pump A rate = 1 / 60

Pump B rate = 1/80

Pump C rate = 1/90

Combined rate : 1/60 + 1/80 + 1/90

Combined rate = (12 + 9 + 8) / 720 = 29/720

Combined rate = 29/720

The time taken together will be :

1 / combined rate = 1/(29/720) = 720 / 29 = 24.827 hours

A carpenter is making a backyard deck. In the measurements, he has determined that he needs to make a support triangle with an area 46m2. He knows that the base must be 1 less than 2 times the height. If the base is represented by 2x-1 and height equals x. Find the equation that correctly shows the area of the triangle.

Answers

Answer:

base = 3x - 1

height = x

area of triangle = (1/2)bh

22 = (1/2)(3x-1)(x)

44 = (3x-1)(x)

44 = 3x^2-x

0 = 3x^2-x-44

0 = 3x^2-12x+11x-44

0 = (3x^2-12x)+(11x-44)

0 = 3x(x-4)+11(x-4)

0 = (x-4)(3x+11)

x = {-11/3, 4}

throw out the negative solution (extraneous) leaving

x = 4 m (height)

.

Base:

3x - 1 = 3(4) - 1 = 12 - 1 = 11 

Step-by-step explanation:

I hope it will help you

Please help explanation if possible

Answers

Answer:

I don't know ask to your teacher

Find the value of b.

Answers

Answer:

B

Step-by-step explanation:

The secant- tangent angle b is half the difference of the measures of the intercepted arcs , then

b = [tex]\frac{1}{2}[/tex] ( 180 - 35) = [tex]\frac{1}{2}[/tex] × 145° = 72.5° → B

Apply the distributive property to factor out the greatest common factor.
44+48=

Answers

Answer:

(40+4)+(40+48)

=40+(4+8)+4+8(40)

=44+48+12×40

if u add all

=104×40

=4160

Step-by-step explanation:

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Walters manufactures a specialty food product that can currently be sold for $21.50 per unit and has 19,500 units on hand. Alternatively, it can be further processed at a cost of $11,500 and converted into 11,500 units of Deluxe and 5,500 units of Super. The selling price of Deluxe and Super are $31.50 and $19.50, respectively. The incremental net income of processing further would be: CIAA is esstablished as constitutional organ to check corruption but corruption is still increasing day by day instead of decreasing. why? Question 5: Energy Sources (12 points)A. There are many ways to produce electricity. List two energy sources that generate electricity via a chemical reaction, and explain what kind of reaction each uses. (6 points)B. Ethane is a common component of energy sources. Write the chemical formula for ethane. (2 points)C. Write and balance the chemical equation for the combustion reaction of ethane. (4 points) Property rights exist in order to:O A. allow people to use their property as they see fO B. ensure that property is always used productiveO c. give the government the ability to regulate proO D. set limits on the types of property businesses what are the missing numbers ? Suppose a large telephone manufacturer has a problem with excessive customer complaints and consequent returns of the phones for repair or replacement. The manufacturer wants to estimate the magnitude of the problem in order to design a quality control program. How many telephones should be sampled and checked in order to estimate the proportion defective to within 9 percentage points with 89% confidence a vechile having a mass of 500kg is moving with a speed of 10m/s.Sand is dropped into it at the rate of 10kg/min.What force is needed to keep the vechile moving with uniform speed Darwin is an elderly person who is looking back over his life and coming to terms with the actions of that life. He is engaging in A. despairB. a sense of identityC. ego integrityD. a life reviewE. generativity As a technical project manager, you have decided to propose implementing a prototyping methodology for a small web-based design project. What is the first step you will follow in this project A developer wants to purchase a plot of land to build a house. The area of the plot can be described by the following expression: (5x+1)(7x7) where x is measured in meters. Multiply the binomials to find the area of the plot in standard form If average household income increases by 20%, from $50,000 to $60,000 per year, the quantity of rooms demanded at the Triple Sevens from rooms per night to rooms per night. Therefore, the income elasticity of demand is , meaning that hotel rooms at the Triple Sevens are If IBM has a beta of 1.2 when the risk-free rate is 6% and the expected return on the market portfolio is 18%, the expected return on IBM is: What is seafloor spreading A. The formation of new ocean crust when plates spread apart B. The movement of a continent over timeC. The movement of a tectonic plate under another plateD. The destruction of underwater mountains by plates What is the length of the unknown leg in the right triangle? The following information pertains to Rik Co.'s two employees: Name Weekly salary Number of weeks worked in 2005 Vacation rights vest or accumulate Ryan $800 52 Yes Todd 600 52 No Neither Ryan nor Todd took the usual two-week vacation in 2005. In Rik's December 31, 2005, financial statements, what amount of vacation expense and liability should be reported What is the level of measurement for "year of birth"? High-speed stroboscopic photographs show that the head of a -g golf club is traveling at m/s just before it strikes a -g golf ball at rest on a tee. After the collision, the club head travels (in the same direction) at m/s. Find the speed of the golf ball just after impact. Your plane leaves Boston (Eastern Standard Time) at 7:00am, bound for Los Angeles (Pacific Standard Time). The flight takes 5 hours. What is time when you arrive in Los Angeles Exercise 2.2.3: The cardinality of a power set. (a) What is the cardinality of P({1, 2, 3, 4, 5, 6}) Research and describe any recent theater production that reflects the political or social climate of the United States in the twenty-first century. Write your response in three or four paragraphs.