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riadik2000 [5.3K]
3 years ago
6

Complete the following: (r-s)^2 = (___)^2 -(___)rs + s^2

Mathematics
1 answer:
kondaur [170]3 years ago
8 0

Answer:

First blank has the value r.

Second blank has the value 2

Step-by-step explanation:

The given equation on the left side is ( r- s)^{2}

Now,<u> ALGEBRAIC IDENTITY </u>states that

( a- b)^{2} = a^{2}  + b^{2} -  2 \times a \times b

Here, comparing a = r and b = s, we get

( r- s)^{2} = r^{2}  + s^{2} -  2 \times r \times s

So, the first blank has the value r.

Second blank has the value 2

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A student's course grade is based on one midterm that counts as 5% of his final grade, one class project that counts as 10% of h
LiRa [457]

Answer:

<u>The student's final score is 77.2 and he earned a C letter grade</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the math problem correctly:

Midterm = 5% of the final grade and score of 60

Class project = 10% of the final grade and score of 92

Set of homework = 35% of the final grade and score of 80

Final exam = 50% of the final grade and score of 74

2. What is the student's final score?

Final score = (60 * 0.05) + (92 * 0.1) + (80 * 0.35) + (74 * 0.5)

Final score = 3 + 9.2 + 28 + 37

Final score = 77.2 and letter grade of C

6 0
3 years ago
Find the volume h=12cm r=5cm
Goshia [24]

If this was a cone, the volume would be 314.16.

  • You would just put in the radius and height in the cone volume formula which is πr²h 1/3

If this is a cylinder then the volume would be 942.48

  • Put in the radius and height in the cylinder volume formula which is πr²h
7 0
3 years ago
How to get rid of fraction exponents?. for example: x^(1/2)
Komok [63]
Remember
x^{ \frac{m}{n} }= \sqrt[n]{x^m}

so
x^{ \frac{1}{2} }= \sqrt[2]{x^1} or √x

8 0
3 years ago
Read 2 more answers
If f(x)=3x^2+2×=1 find f(x+2)​
harkovskaia [24]

Answer:

f(x+2) = 3(x+2)^2 + 2(x+2 + 1

Step-by-step explanation:

you need to replace the x with x+2

3 0
3 years ago
Find the measured of the numbered angles in the rectangle. Geometry Chapter 7.4
stira [4]

Answer:

∠3 = 18°

∠4 = 144°

∠2 = 36°

∠1 = 72°

Step-by-step explanation:

From the concept of alternate interior angles,

∠3 = 18°

Since the diagonal divides the rectangle into 4 parts with 2 of the rectangles being similar.

Then, the triangle with ∠3 & ∠4 is an Isosceles triangle and as such;

∠4 = 180 - 2(∠3)

∠4 = 180 - 2(18)

∠4 = 180 - 36

∠4 = 144°

∠2 = 180 - ∠4 (because sum of angles on a straight line is 180°)

∠2 = 180 - 144

∠2 = 36°

Like it was done for angle ∠4 above;

∠1 = (180 - 36)/2

∠1 = 144/2

∠1 = 72°

8 0
3 years ago
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