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
Shtirlitz [24]
4 years ago
8

SP=2x+3, and LN=5x−14. Find SP.

Mathematics
1 answer:
Alinara [238K]4 years ago
8 0

Answer:

43

Step-by-step explanation:

Using Thales theorem:

● SP/LN = RP /RN

Notice that RN = 2×RP

● SP/LN = RP/2RP

● SP /LN = 1/2

● SP / (5x-14) = 0.5

● (2x+3)/(5x-14) = 0.5

● 2x+3 = 0.5(5x-14)

● 2x+3 = 2.5x -7

Add 7 to both sides

● 2x+3+7 = 2.5x-7+7

● 2x+10 = 2.5x

Sustract 2x brom both sides

● 2x+10-2x = 2.5x-2x

● 10 = 0.5x

Multiply both sides by 2

● 10×2 = 0.5x×2

● 20 = x

Replace x with 20 in Sp expression:

● SP = 2x+3

● SP = 2×20+3

● SP = 43

You might be interested in
Jake drove 300 miles from his house to a soccer tournament. This graph shows the distance Jake had traveled (m) and the time tha
Bad White [126]

Part A. The trip starts at 8am which corresponds to 0 hrs, point (0hr, 0mi)

2hrs later it's 10am. .point (2hr, 140mi)

The average speed is the slope between 0 and 2 hrs. Remember the slope formula m = Δy/Δx  

m = (140 - 0) / (2 - 0)  

m = 70 mph

Part B. Average speed from 11am - 2pm  

11am is point (3hr, 140mi)  

2pm is point (6hr, 300mi)  

As you can see from the graph, the speed or slope changes at 1pm (5,260). You Can just use the start and end points.

m  = (300-140) / (6-3)  

m = 160/3

53.3 mph

* It comes out the same solution as if you average the two different slopes. 2hrs at 60mph + 1 hr at 40mph = (120 + 40)/3 = 160/3  

Part C.  Total average speed = total distance / total time driving

He went 70 mph for 2 hrs

stopped for an hour (slope is zero, no speed)

60 mph for 2hrs

40mph for 1 hr

300mi /5hr = 60mph

Part D. No Question....

7 0
3 years ago
Orlando invested $16,000 in an eight-year CD bearing 6.5% simple annual interest, but needed to withdraw $3,500 after five years
baherus [9]

Answer:

Therefore, the correct option is OPTION C.

Step-by-step explanation:

If Orlando had not made his early withdrawal, the amount of money he would have earned is:

F = 0.065($16,000)(8) = $8.320

Given that he withdraw $3500, he now earns:

F1 = (0.065)($16,000)(5) + ($12,500)(0.065)(3)

F1 = $5200 + $2437.5 = $7637.5

And now we have to take into acount the year of penalty, which is one year’s worth of interest on the amount withdrawn.

Penalty= $3500(0.065)(1) = $227.5

So the total money he earns now is: $7637.5 - $227.5 = $7410

Then, the amunt of money he could have earn but he didn't is:

Money = $8.320 - $7410 = $910

Therefore, the correct option is OPTION C.

6 0
4 years ago
Read 2 more answers
Complete the steps to simplify^5√4 x √2 . Rewrite using rational exponents.
ozzi

The answer is 2^(9/10). I did it assuming with the ^5 you mean the 5th root of 4

7 0
3 years ago
Read 2 more answers
Your height is 5 feet and 1 5/8 inches, Your friend's height is 5.6 feet. who is taller explain.
Luda [366]
\frac{5}{8}=0.625

You are 5.625 inches.

5.625 > 5.6

You are taller.
6 0
3 years ago
Need help with this please thanks
OlgaM077 [116]
Hmmm lemme look reply if u still need help

6 0
3 years ago
Other questions:
  • A 6 foot tall man makes a shadow that is 3 1/2 feet long. How tall is a building that makes a 14 7/8 foot shadow?
    11·1 answer
  • Find the differential dy if y=sin(x^2).
    9·1 answer
  • Simplify<br> -1/2 + 3-4x + 5 + 3/2x<br> Enter your answer in the box.
    8·2 answers
  • I need help asap :)/)/)
    9·1 answer
  • If the m∠A = 110 degrees what is m∠A?<br><br> m∠A=
    8·1 answer
  • Alright one more question<br> whoever can answer this and the next question wins brainliest
    10·1 answer
  • Can anybody help with this ?
    5·2 answers
  • What is 7x+3y=9 in y-intercept form?
    5·1 answer
  • Find the slope of the line passing through j(0,5) and k(-1,2)
    11·1 answer
  • 7. Matthew drove 350 miles on 10 gallons of gasoline. How many miles per gallon does
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!