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mestny [16]
3 years ago
10

What is the value of x in the triangle ?

Mathematics
1 answer:
ZanzabumX [31]3 years ago
5 0
142.33 should be correct.
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Help!! 10 PTS!!
Sliva [168]

Answer:

x = sqrt(433/64) - 7/8 and x = -sqrt(433/64) - 7/8 So there are two.  Let me know if there's something you don't understand.

Step-by-step explanation:

First you want to get them into the form where just y is on one side.

5-y=x^2+x

-y=x^2+x-5

y = -x^2 - x + 5

y+1 = 3/4x

y = 3/4x - 1

Let me know if you don't get how I did that.

To find where they intersect you just set them equal to each other and solve for x.

-x^2 - x + 5 = 3/4x - 1

Before you go solving you are going to want to avoid multiplying and dividing.  Especially dividing here.  if you divide something by (x-a) you make it so a cannot be used.  take 1 for instance.  graphing 1 is just a horizontal line at y=1.  If you divide it by (x-a) in particular lets say (x-1) if you try and solve for x=1 you get 1/0 and you can't divide by 0.  If you graph it on a calculator or computer you'll see the graph doesn't exist at x=1 either.

So yeah, no multiplying or dividing.  So we turn this into a quadratic.

-x^2 - x + 5 = 3/4x - 1

-x + 5 = x^2 + 3/4x - 1

5 = x^2 + 7/4x - 1

0 = x^2 + 7/4x - 6

There are a few ways to solve but I am going to complete the square.  If you don't understand how to solve it let me know and I will more specifically walk through it.

(x + 7/8)^2 - 433/64 = 0

(x + 7/8)^2 = 433/64

x + 7/8 = +/- sqrt(433/64)

x = +/- sqrt(433/64) - 7/8

So there are two answers here.  Positive sqrt(433/64) - 7/8 and negative sqrt(433/64) - 7/8 Or approximately 1.726 and -3.476 respectively.  To check try plugging these into the original two functions y = -x^2 - x + 5 and y = 3/4x-1 and make sure they give the same answer.

Let me know again if there's something you don't get.  When oing intersections though you set the two equations equal to each other and solve for x however you can.

6 0
3 years ago
Previous studies on sleep tendencies report that, on average, an adult American will sleep for 6 hours each night with a standar
Rasek [7]

Answer:

b) One sample z-test for means

Step-by-step explanation:

Normal Distribution

we have μ₀ (population mean from previous studies)

sample size    n  =  100

standar deviation of population   σ  = 0.75

And it was determined from sample, that μ = 5 : so we want to know if, at some significance level that value (which is smaller than population mean ) could help in relation to decide about rejecting hypothesis  H₀

We should use a z one tail-test for means (left tail)

4 0
3 years ago
A rectangle has a perimeter of 48 yards and a height of 17 yeards. What is the length of the base?
Volgvan

Answer:

i think it's 7

Step-by-step explanation:

perimeter is l+l+w+w

so 17+17=34

48-34=14

14/2=7

3 0
2 years ago
PLEASE pHKEP I AM BEGGING YOU OLEASEEEEEEEE!!!!!!! I GIVE EXTRA POINTS AND BRAINLIEST!!!!
AVprozaik [17]
Use lower or greater signs
6 0
2 years ago
Presley and Lakira sell cookies. Presley sold 5 less than twice as many cookies as LaKira. If LaKira sold 16 cookies, how many c
soldi70 [24.7K]
27. twice as many as 16 would be 32 and 32-5 is 27
5 0
3 years ago
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