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iren [92.7K]
3 years ago
7

Points A and B are located in a standard (x,y) coordinate plane. If A has coordinates (4,-4) and B has coordinates (0,8), what a

re the coordinates of the midpoint between A and B?
Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0

the easiest way I find a midpoint of two points is the midpoint theorem, here it is:

\frac{x1+x2}{2} , \frac{y1+y2}{2}

For x and y plug in the two coordinates given, (4,-4) & (0,8)

so once you plug the numbers into the equation you would get:

(2,2)

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Three forces of 300 N in the direction of N30E, 400N in the direction of N60E and
andreyandreev [35.5K]

Split up each force into horizontal and vertical components.

• 300 N at N30°E :

(300 N) (cos(30°) i + sin(30°) j)

• 400 N at N60°E :

(400 N) (cos(60°) i + sin(60°) j)

• 500 N at N80°E :

(500 N) (cos(80°) i + sin(80°) j)

The resultant force is the sum of these forces,

∑ F = (300 cos(30°) + 400 cos(60°) + 500 cos(80°)) i

… … …  + (300 sin(30°) + 400 sin(60°) + 500 sin(80°)) j N

∑ F ≈ (546.632 i + 988.814 j) N

so ∑ F has a magnitude of approximately 1129.85 N and points in the direction of approximately N61.0655°E.

4 0
2 years ago
Evaluate 3^2 + (6-2) × 4 - 6/3​
IrinaVladis [17]
Answer: 23
Explanation: simplify using PEMDAS so solve parentheses, then solve the exponent, multiply the second number by 4, and then add, then subtract.

Hope this helps!
4 0
3 years ago
You borrow $2000 from the bank at 1% annual interest compounded monthly. The monthly payment is $100. What is the balance after
Blizzard [7]

Answer:

$2.52

Step-by-step explanation:

If you start with the balance being $2000, the monthly payment is $100 with the percentage rate being 1%. You would way 0.84 per month and if you multiply that by three months, you get $2.52.

4 0
3 years ago
Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and cos ∠X = 2.5 over 5 and 59 hundredths. Triangles XYZ
adell [148]

Dilation involves changing the size of a shape

<h3>How to determine the relationship between the trigonometry ratios</h3>

From the question, we understand that:

The dilation of triangle XYZ gives triangle ACB

This means that, the following are corresponding points

  • Points X and A
  • Points Y and C
  • Points Z and B

The above means that:

The relationships between the trigonometry ratios of both triangles are:

cos(X) = cos(A), cos(Y) = cos(C) and cos(Z) = cos(B)

<h3>How to determine the measures of segments AC and AB</h3>

In (a), segments XY and XZ corresponds to the segments AC and AB

So, the product of the lengths of XY and XZ and the scale factor will result in the lengths of AC and AB,

i.e.

AC = 2 * XY and AB = 2 * XZ

Read more about dilation at:

brainly.com/question/26332230

5 0
2 years ago
4b + 11 + 8b + 1 = 180
skelet666 [1.2K]

Answer:

b=14

Step-by-step explanation:

Add 4b and 8b, which you get 12b. Then you add 11 and 1 which you get 12.

12b + 12 = 180 is the next equation.

Afterwards, you subtract 12 from 180.

12b = 168

Divide 12b from 168.

b = 14

6 0
3 years ago
Read 2 more answers
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