All categories

1 year ago

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

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