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Wewaii [24]
3 years ago
15

an airplane at t(80,20) needs to fly both u(20,60) and v(110,85). what is the shortest possible distance for the trip? explain:

what type of info did you need to find it and how can you use a diagram to help you?
Mathematics
1 answer:
jekas [21]3 years ago
6 0
We need to find the distances : TU, TV and VU.
TU = √ ( x 2 - x 1)² + ( y 2 - y 1 )²
TU = √ ( 60² + 40² ) = √ (3600 + 1600 ) = √5200 = 72.111
TV = √ ( 30² + 65² ) = √ ( 900 + 4225 ) = √5125 = 71.589
VU = √ ( 90² + 25² ) =  √ ( 8100 + 625 ) = √8725 = 93.408
The shortest trip : T → V → U.
The shortest distance:
TV + VU = 71.589 + 93.408 = 164.997 
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Dvinal [7]

Answer:


Step-by-step explanation:

Solution is given below in attachment

4 0
3 years ago
The range of the function f(k) = k2 + 2k + 1 is {25, 64}. What is the function’s domain?
MAXImum [283]
<span>f(k) = k2 + 2k + 1 = (k+1)^2
The range is what the function gives to you f(k)=25=5^2 or (-5)^2
f(k)=64=8^2 or (-8)^2

You need to find the k values for these boundary values to find the domain. 
Good luck :)</span>
7 0
3 years ago
You recently invested $400,000 of your savings in a security issued by a large company. The security agreement pays you 12% per
ANTONII [103]

Answer:

$722444.49386776

Step-by-step explanation:

Use Compound Intrest Formula

a = p(1 +  \frac{r}{n} ) {}^{nt}

  • where p is the original amount.
  • R is the amount of percentage compounded
  • N is amount of times compounded per year.
  • T is how long the interest last.

P is 400,00p

T is 12% or 0.12

N is 4 since it is compounded quarterly

T is 5.

Plug the values in

400000(1 +  \frac{0.12}{4} ) {}^{20}

Ypu get

$722444.49386776

6 0
2 years ago
Mia gets 15 out of 18 questions correct on a test. What is the ratio of correct
borishaifa [10]

Answer:

5/6

Step-by-step explanation:

it's a 15:18 ratio, just needs simplification

3 0
2 years ago
I need help plssss<br> -3(2x-11)_&gt;8x-9
Ilia_Sergeevich [38]

The Linear inequality holds true for 21 ≥ x;

What is Linear Inequality?

The mathematical expression with unequal sides is known as inequality in mathematics. Inequality is referred to in mathematics when a relationship results in a non-equal comparison between two expressions or two numbers. In this instance, any of the inequality symbols, such as greater than symbol (>), less than symbol (), greater than or equal to a symbol (), less than or equal to a symbol (), or not equal to a symbol (), is used in place of the equal sign "=" in the expression. Polynomial inequality, rational inequality, and absolute value inequality are the various types of inequalities that can exist in mathematics. The symbols "" and ">" signify tight inequalities, while "" and "" signify slack inequalities.

In the given question, the given inequality given is:

-3(2x-11) ≥ 8x-9;

Solving the Inequality:

⇒-6x + 33 ≥ 8x - 9;

⇒33 + 9 ≥ 8x - 6x;

⇒ 42 ≥ 2x;

⇒ 21 ≥ x;

Hence,

The Linear inequality holds true for 21 ≥ x;

To learn more about Linear Inequality, visit:

brainly.com/question/24372553

#SPJ1

4 0
10 months ago
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