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irina1246 [14]
3 years ago
14

Find the distance between the points (2.4, 5) and (9.7, 5).

Mathematics
1 answer:
Margaret [11]3 years ago
7 0

Answer:

7.3

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (2.4, 5) and (x₂, y₂ ) = (9.7, 5)

d = \sqrt{(9.7-2.4)^2}+(5 - 5)^2

  = \sqrt{7.3^2+0^2}

   = \sqrt{7.3^2}

   = 7.3

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Solve for x and y. Then find the measure of each angle.
aliina [53]

Answer:

x= 42

y= 23

Step-by-step explanation:

Set up a system of equations like this:

(4y-9)=(3x-43)

(2x+13)=(4y+5)

when two lines cross like this they form vertical angles, and vertical angles are always equal.

calculate the system of equations and you'll get x=42 and y=23

To find the measure of any of the angles just put x or y into the equation.

5 0
3 years ago
Use differentials to approximate the value of the expression. Compare your answer with that of a calculator. (Round your answers
Vesna [10]

Answer:

726.572699

Step-by-step explanation:

According to differentials

(x+Δx)³ = x³ + 3x²Δx + 3x(Δx)² + (Δx)³ (Using binomial expansion)

Using this formula to solve (8.99)³, this can also be written as;

(8.99)³ =  (9-0.01)³ where

x = 9

Δx = -0.01

Substitute this vales into the differential expression above

(9+(-0.01))³ = 9³ + 3(9)²(-0.01) + 3(9)(-0.01)² + (-0.01)³

(9+(-0.01))³ = 729 + (243)(-0.01) + 27(0.0001) + (-0.000001)

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³ = 729-2.43+0.0027-0.000001

(9+(-0.01))³  = 726.572699

Hence 8.99³ = 726.572699 (Using differential)

Using calculator;

8.99³ = 726.572699

4 0
3 years ago
The answer to the problem
larisa86 [58]

She puts 8% of her salary in, so multiply her pay by 8% to get her yearly amount she saves:

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The company puts 6% of that in the account:

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So per year 3600 + 216 = $3,816 is saved.

3,816 x 2 = $7,632 is the 2 year total.

The answer is A.

6 0
3 years ago
A group of 340 students travels by bus. Each bus holds 52 students. a How many buses do they need? ​
melisa1 [442]

Answer:

The required number of buses=340/52=85/13buses

Step-by-step explanation:

8 0
2 years ago
What is the value of 20 ÷ (-4)?​
DerKrebs [107]

Answer:

-5

Step-by-step explanation:

20 ÷ (-4)=-5

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3 years ago
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