The coordinates of the vertices of △XYZ are X(−5, 5), Y(−3, −2), and Z(4, 0). The slope of XZ is __, the slope of YZ is __, and the slope of XY is __. △XYZ __ a right triangle because ____________.

-7/2 -5/9 -2/7 2/7 9/5 is is not no two of these slopes have a product of -1 two of these problems have a product of -1

Answers

Answer 1

Answer:

Slope of XZ = -5/9

Slope of YZ  = 2/7

Slope of XY  = -7/2

Step-by-step explanation:

Slope is expressed as;

m = y2-y1/x2-x1

For XZ

X(−5, 5), and Z(4, 0)

Slope of XZ = 0-5/4-(-5)

Slope of XZ = -5/4+5

Slope of XZ = -5/9

For YZ

Y(−3, −2), and Z(4, 0).

Slope of YZ = 0-(-2)/4-(-3)

Slope of YZ = 2/4+3

Slope of YZ  = 2/7

For XY

X(−5, 5), Y(−3, −2)

Slope of XY = -2-5/-3-(-5)

Slope of XY = -7/-3+5

Slope of XY = -7/2

For two lines to be perpendicular, the product of their slope must be -1

Taking the product of XY and YZ

mXY * mYZ = -7/2 * 2/7

mXY * mYZ  = -1

since the product of mXY and mYZ is -1. this shows that line XY is perpendicular to YZ and showing that the triangle XYZ is right triangle


Related Questions

find the length of isosceles triangle in which mAB=mBC=12cm.and=mAC 16cm.​

Answers

Answer:

Could be 12 or 16. Need more information

Step-by-step explanation:

3rd attempts :'))))))))

Answers

I used substitution to get to this, but not fully sure if this is correct (solve quadratic)

Linear or not linear PLZZ HELP ME :(

Answers

Answer:

B is the only one that is linear

Step-by-step explanation:

Answer:

no yes no no

Step-by-step explanation:

Linear means straight line and from the other equations they have exp.: ^2 ^3  which makes the line not straight si. you have to find a straight lined problem (:

PLEASE ANSWER

(x + )^2 =

Answers

Answer:

x^2 = x * x

Step-by-step explanation:

I think you might be missing a number but if not then this is the answer

I NEED HELP NOWWW WIRNSJJAJJDJDJMAMA

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation: 9 cm and 18cm

A right rectangular prism has a length of 18 meters, a width of 5 meters, and a height of 6 meters. What is the volume, in cubic meters, of the prism?​

Answers

Answer:

540 m^3

Step-by-step explanation:

We will use the formula V = Bh where B is the base and h is the height. To find the base, we will multiply the length times the width .

18 m * 5 m = 90 m^2

Them, we will multiply the height.

90m^2 * 6 m = 540 m^3

19) Which one of the following expressions has the greatest value?
A) 3-6-3-6x7)
B) 3-7*(-3) - 6
C) (3-7)x(-3) - 6
D) (3-7)(-3-6)

Answers

Answer:

D.

Step-by-step explanation:

3-6-3-6×7=-48

3-7*(-3)-6=6

(3-7)×(-3)-6=6

(3-7)(-3-6)=36

Find the slope of the line that contains the following points.
(10, 8) and (-5, 8)

Answers

Answer:

0

Step-by-step explanation:

(x1,y1)=(10,8)

(x2,y2)=(−5,8)

Use the slope formula:

m=

y2−y1

x2−x1

=

8−8

−5−10

=

0

−15

=0

I need the simplified expression for this please ​

Answers

Answer:

16x+5

Step-by-step explanation:

first, we open the brackets

5*2x-5*1+2*3x+2*5=10x-5+6x+10=16x+5

Ian walked 4 miles in 90 minutes. Bob walked 7 miles in 2.5 hours. Are these rates in proportion? If no, who walked faster?

Answers

Answer:

Bob walked faster than Ion.

Step-by-step explanation:

90/4=22.5

Ian - 1 mile in 22.5 minutes

2x60=120

60/2=30

120+30=150

150/7=21.43

Bob - 1 mile in 21.43

Answer:

They are not the same because Ian - 1 mile in 22.5 minutes and Bob - 1 mile in 21.43

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

HELP ASAP PLEASE!!!!

Answers

Answer:

bqgsdfgsdfghsdfbvcxbxcvb

Step-by-step explanation:

my grandmother told me the answer

Please help!!
Point M is between L and N. LN = 23 and MN = 3. Find LM.

Answers

Answer:

[tex]LM = 20[/tex]

Step-by-step explanation:

Given

[tex]LN = 23[/tex]

[tex]MN = 3[/tex]

Required

Find LM

Because M is between L and N, then

[tex]LN = LM + MN[/tex]

Substitute values for LN and MN

[tex]23 = LM + 3[/tex]

Collect Like Terms

[tex]LM = 23 - 3[/tex]

[tex]LM = 20[/tex]

A line has a slope of 2/3 and y intercept of (0,5). What is the equation of the line?

Answers

Y = 2/3x + 5
You multiply the slope by x and add 5 for the intercept.

Compare 12_ |-8| using <,>,=. And please I need help quick!!

Answers

Answer:

12>|-8|

Step-by-step explanation:

|-8| = 8 because the minus sign is not on the outside of the lines. This makes 12 be greater than 8

So 12 > |-8|

The AL east baseball division has 5 teams how many different ways can they finish 1st through 5th?

Answers

Answer:

25

Step-by-step explanation:

5 * 5 = 25.

5 Different teams, 5 different places, multiply the numbers of each together and you get how many different ways.

I hope this helps!

1. What two variables is acceleration dependent on? What is the relationship between these variables and acceleration? (ie, if you increase one variable what happens to the acceleration?)​

Answers

Answer:

Force = mass * acceleration

Acceleration = force/mass

As force increases, acceleration increases.

As mass increases acceleration decreases

Step-by-step explanation:

A factory makes lightbulbs. The probability that a bulb is defective is If
300 lightbulbs are tested, about how many are expected to be defective?​

Answers

300 times 1/15 would be 20 lightbulbs

Answer:

20, I believe because 300 x 1/5 is 20

not 30

not 15

not 66

can someone please help

Answers

Answer:

[tex] \boxed{ \boxed{ \tt{3. \: \: \: \: \underline{ \: 11.85}}}}[/tex]

[tex] \boxed{ \boxed{ \tt{ \: 4. \: \: \: \: \: \: \: \underline{13 \sqrt{3} \: cm}}}}[/tex]

Step-by-step explanation:

First , A simple way how to remind the three basic trigonometric functions is by reminding the famous word " SOHCAHTOA". We divide the word in three words with three letters.

[tex] \underline{ \underline{ \sf{SOH , \: CAH , \: TOA}}}[/tex] :

The first letter of each word represents the name of the function.The second letter represents what's up the ratios sign.The third one represents what's at the bottom of the ratio sign.

We write :

[tex] \sf{sin \: \theta = \frac{opposite}{hypotenuse} }[/tex][tex] \sf{cos \: \theta = \frac{adjacent}{hypotenuse}} [/tex][tex] \sf{tan \: \theta = \frac{opposite}{adjacent}} [/tex]

Now , Let's work on it :

3. Based on the figure ( 3 ) , we know the hypotenuse ( i.e 15 ) & the angle 53° & we have to find the opposite ( x ).

[tex] \sf{ \sin(53) = \frac{opposite}{hypotenuse} }[/tex]

⇾ [tex] \sf{0.79 = \frac{x}{15}} [/tex]

⇾ [tex] \sf{x = 11.85}[/tex]

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

5. Based on the figure ( 4 ) , we know the adjacent ( i.e 13 cm & the angle 60° & we have to find the opposite ( x ).

[tex] \sf{ \tan(60}) = \frac{opposite}{adjacent} [/tex]

⇾ [tex] \sf{ \sqrt{3} = \frac{x}{13} }[/tex]

⇾ [tex] \sf{x = 13 \sqrt{3}} [/tex] cm

And we're done !

Hope I helped ! ツ

Have a wonderful day / night ! ♡

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

i giveeee brainllstttt

Answers

Answer:

jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

Step-by-step explanation:

jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj\jjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjj

What is the number of distinct 4-person committees that can be chosen from a group of 6 people

Answers

Answer:

15 combinations

Step-by-step explanation:

You have to use combinations.

It would be Choose 4 from 6

which is 6!/(4! × 2!) which 6 × 5/ 2 which is 15.

Найдите подходящее число, на которое можно разделить обе части уравнения и найти решение уравнения
3x = 12 | :
x =

5x = –10 | :
x =

–7x = 21 | :
x =



0,1x = 2 | :
x =

0,01x = –4 | :
x =

Answers

Answer:

Смотрите в объяснении.

Step-by-step explanation:

x=4

x=-2

x=-3

x=20

x=-400

Надеюсь, это помогло! :)

What is the slope of the line that passes through the points (-3, -3)(−3,−3) and (-5, -2) ?(−5,−2)

Answers

Answer:

=--3+3-2+2/-3+3-5+5

=0

slope=0

In the diagram, S is the incenter of AMNO.
Find SQ.
05
6.5
12
13

Answers

CAnswer:

Step-by-step explanation:

it is i got an 100

The small medium from in center to all the three sides of triangle is equal.

The length of the SQ is 5 units.

What is in-center of triangle?

The in-center of a triangle is the point of intersection of all the three interior angle bisectors of a triangle.

The small medium from in center to all the three sides of triangle is equal. Thus,

[tex]SQ=SP=SR[/tex]

Given information-

The length of MR is 12 units.

The length of MS is 13 units.

In the [tex]\Delta MRS, \angle MRS[/tex] is the right angle triangle. Thus by the Pythagoras theorem,

[tex]MS^2=MR^2+RS^2[/tex]

Rewrite the equation as,

[tex]RS^2=MS^2-MR^2[/tex]

Put the  values,

[tex]RS^2=13^2-12^2\\RS^2=169+144\\RS^2=25\\RS=\sqrt{25}\\RS=5\\[/tex]

Thus the length of RS is 5 units. As the length of RS is equal tot he length of the SQ. Thus,

[tex]SQ=RS=5[/tex]

Hence the length of the SQ is 5 units.

Learn more about the in center of the triangle here;

https://brainly.com/question/14317682

Beth put $8,000 in a savings account. At the end of a year
the account had earned $720 in interest. What was the
yearly interest rate on the account?

Answers

Answer:

9%

Step-by-step explanation:

8000 x 9%= 720

1) Diego drank x ounces of juice. Lin drank 1/4 less than that

2) Lin ran x miles. Diego ran 3/4 more than that

3) Diego bought x pounds of almonds Lin bought 1/4 of that


(Drag and drop plz help)

Answers

Answer:

Follows are the solution to this question.

Step-by-step explanation:

Please find the solution file for the question in the attachment.

An internet download speed is 4.2 MB/S (constant). How long will it take to download a 30 GB file?

And with 900 KB/S?

Answers

Answer:

Time with 4.2MB/S speed = 7314.3 seconds

Time with 900 KB/S speed = 34952.5 seconds

Step-by-step explanation:

Given that:

Internet download speed = 4.2 MB/S

File to download = 30 GB

1 GB = 1024 MB

30 GB = 30*1024 = 30720 MBS

Time required = [tex]\frac{30720}{4.2}[/tex]

Time required = 7314.3 seconds

With 900 KB/S

1 MB = 1024 KB

30720 MB = 30720 * 1024 = 31457280 KBS

Time = [tex]\frac{31457280}{900}=34952.5\ seconds[/tex]

Hence,

Time with 4.2MB/S speed = 7314.3 seconds

Time with 900 KB/S speed = 34952.5 seconds

Answer:

Time with 4.2MB/S speed = 7314.3 seconds

Time with 900 KB/S speed = 34952.5 seconds

Step-by-step explanation:

Given that:

Internet download speed = 4.2 MB/S

File to download = 30 GB

1 GB = 1024 MB

30 GB = 30*1024 = 30720 MBS

Time required =

Time required = 7314.3 seconds

With 900 KB/S

1 MB = 1024 KB

30720 MB = 30720 * 1024 = 31457280 KBS

Time =

Hence,

Time with 4.2MB/S speed = 7314.3 seconds

Time with 900 KB/S speed = 34952.5 seconds

Find the distance between the two points rounding to the nearest tenth (if necessary) (-1,-2) and (5,2)

Answers

Answer:

Distance between the two points

AB = √52 = 7.2111

Step-by-step explanation:

Explanation:-

Given points are (-1,-2) and (5,2)

Distance formula

                 [tex]= \sqrt{(x_{2}-x_{1} )^{2} +(y_{2} -y_{1})^{2} }[/tex]

                [tex]= \sqrt{(5-(-1) )^{2} +(2 -(-2))^{2} }[/tex]

               [tex]= \sqrt{(6 )^{2} +(4)^{2} }[/tex]

              =   √36+16

             =√52

            = 7.2111

Final answer:-

Distance between the two points

AB = √52 = 7.2111

What value is equivalent to 81-2^3\cdot\left(5-2\right)81−2
3
⋅(5−2)?

Answers

Answer:

57

Step-by-step explanation:

By the Order of Operators:

First parenthesis, then exp and radicals, next multiplications and divisions and finally addition and subtraction

[tex]81-2^{3}(5-2)\\81-2^{3}(3)\\81-8(3)\\81-24\\57\\[/tex]

What equation in slope intercept form represents the line that passes through the two points?
(5,5), (10,-1)

Answers

The slope is y=-6/5+11

An new bakery must sell at least $250 worth of cookies and
cakes per day to stay open. Each cookie costs $5 and each
cake costs $25. The store can make a maximum of 15 items
per day

Answers

Answer:

125

Step-by-step explanation:

250/x 30/15=125

$250 total then add 25+5=30 max of items is 15

cross multiply 250x15=3225 divide by 250=107.5

hope that's right?

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