1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Zigmanuir [339]
1 year ago
6

Find the value of y so that WX is perpendicular to YZ

Mathematics
1 answer:
Alexxandr [17]1 year ago
8 0

step 1

Find out the slope WX

W(2,-3) and X(-4,9)

m=(9+3)/(-4-2)

m=12/-6

m=-2

step 2

Find out the slope YZ

Y(5,y) and Z(-1,1)

m=(1-y)/(-1-5)

m=(1-y)/-6

m=(y-1)/6

step 3

Remember that

If two lines are perpendicular

then

their slopes are negative reciprocal

that means

(y-1)/6=1/2 -----> because the negative reciprocal of -2 is 1/2

solve for y

2y-2=6

2y=6+2

2y=8

<h2>y=4</h2>
You might be interested in
A company is designing a new logo involving 2 circles. What is the area of the shaded portion between the 2 circles? (Use π = 3)
Advocard [28]
Area of shaded portion = area of circle 1 - circle 2
Pi r*2 - pi R*2 =
Pi (r*2 -R *2 ) = 9*2 - 5*2 = (pi)81- 25= 56 x 3 = 168
8 0
3 years ago
HELP!! Is –41/2 equivalent to (–4)1/2? Why or why not?
Oliga [24]
No, they are not equivalent. The first term, -4 1/2 equals 4 whole units and one half unit. All negative. So it’s like you have someone 4 and 1/2 dollars.

The second term, (-4)1/2 means multiplying -4 times 1/2. Doing the multiplication for this gives you -4/2. Solving the division here is -2. It’s taking away 1/2 dollar 4 times.

I hope this helped. Happy to answer any questions you have.
8 0
3 years ago
At the moment a hot cake is put in a cooler, the difference between the cake's and the cooler's temperature is 50° Celsius. This
dybincka [34]

Answer:

D(t)=50(0.8)^t

Step-by-step explanation:

We are given that

Initially the difference between the cake's and the cooler's temperature ,a=50 degree Celsius

r=\frac{1}{5}/min

We have to find the function that gives the temperature difference in degrees Celsius D(t).

We know that

D(t)=a(1-r)^t

Substitute the values

D(t)=50(1-\frac{1}{5})^t=50(1-0.2)^t

D(t)=50(0.8)^t

This is required function that gives the temperature difference in degrees Celsius.

6 0
3 years ago
Read 2 more answers
PLEASE HELP ME FAST! THIS IS A SIMPLE TRIG PROBLEM BUT I SKIPPED CLASS.
NikAS [45]

we can factor the whole thing:

(2sin(x) -1)(sin(x)+1) = 0.

Therefore, sin(x) = -1 and sin(x) = 1/2.

For the first one x = 3π/2 and the second is π/6 and 5π/6

So 3π/2, π/6 and 5π/6 are the solutions.

I do kind of have a problem with this because it doesn't mention if you should go over 360°. Otherwise, you have to add in an 2nπ into the equations like 3π/2 + 2nπ; n \in \mathbb{W}

but I don't know if that is necessary for you.

3 0
3 years ago
Write an inequality to represent each sentence. Use n for the variable.
Zepler [3.9K]

Answer:

17>n is the correct answer

7 0
2 years ago
Read 2 more answers
Other questions:
  • Which graph matches the inequality?
    9·1 answer
  • Need Help PLLLEEAASSSSEEEE,
    9·1 answer
  • RoBoCo Costume Inc plans to launch a major campaign to sell Robby the Robot costumes for Halloween. The price-demand equation fo
    8·1 answer
  • What is 2 tens and 7 tenths as a decimal
    9·1 answer
  • What is being done to the variable in the equation y + 8.5 = 17.2? The number 8.5 is being added. The number 8.5 is being subtra
    9·2 answers
  • The school carnival is divided into sections. The dunk tanks are in 1/10 of the carnival. Games are in 4/10 of the carnival. Stu
    11·2 answers
  • Lowest Common Denominator of 17 and 10
    6·1 answer
  • What did jonny say to papa his butt inches HAAHAHAAHAH is my joke funni
    9·1 answer
  • What is the area of this trapezoid?
    5·1 answer
  • Can someone please help with 6 a, b, c
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!