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nataly862011 [7]
3 years ago
11

2 Points

Mathematics
1 answer:
Inga [223]3 years ago
4 0

Answer:

D

Step-by-step explanation:

Given

9 - 7x = (4x - 3)² + 5 ← expand the squared factor

9 - 7x = 16x² - 24x + 9 + 5, that is

9 - 7x = 16x² - 24x + 14 ( subtract 9 - 7x from both sides )

0 = 16x² - 17x + 5, that is

16x² - 17x + 5 = 0 ← in standard form → D

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Two boats left a base camp at bearing of S60°E and S50°W at speeds of 50km/h and 70km/h respectively. Find the distance between
ivolga24 [154]

Answer:

  • 197.93 km

Step-by-step explanation:

Let the base camp is point A and boats' locations after two hours are points B and C.

By connecting the three points together we get a triangle ABC with sides:

  • AB = 50*2 = 100 km
  • AC = 70*2 = 140 km

The angle between AB and AC is:

  • 60 + 50 = 110 degrees (opposite directions from south)

We are looking for the distance BC, which can be found by using the law of cosines:

  • BC² = AB² + AC² - 2AB*AC*cos ∠BAC
  • BC² = 100² + 140² - 2*100*140*cos 110°
  • BC²  = 39176.56 (rounded)
  • BC = √39176.56 = 197.93 km (rounded)

The distance between the boats is 197.93 km.

7 0
1 year ago
What is the correct term? Answer choices given
Ierofanga [76]
The answer is circumcenter because it has to do with triangles!

I hope this helped! Brainliest? :) -Raven❤️
6 0
3 years ago
Which expression represents B is decreased by 25%?
emmasim [6.3K]

b is decreased by 25% which means there will be (-ve) sign.

<h3>So,</h3>

b - 0.25b

  • <em>Option 5 is correct!!~</em>
3 0
2 years ago
Sherry’s pay rate is $18.75 per hour; last week she worked 50 hours. Calculate her gross pay for the week.
saveliy_v [14]

Answer:

937.5

Step-by-step explanation:

$18.75 - 1 hour

$x. - 50hours

cross multiply the 18.75 with 50.

5 0
3 years ago
Could I get some help? QUESTION: This table shows the profit for a company (in millions of dollars) in different years.
Pani-rosa [81]

Answer:

17 million

Step-by-step explanation:

-0.34(8^{2}) + 4.43(8) + 3.46

-21.76 + 35.44 + 3.46

13.68 + 3.46

17.14

Answer: C 17 million

Have an amazing day!

<u><em>PLEASE RATE!</em></u>

7 0
2 years ago
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