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gladu [14]
3 years ago
14

Whats the area of the figure?

Mathematics
1 answer:
hjlf3 years ago
3 0

25

You multiply all around

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(x2 - 4x + 3) + (3x2 – 3x - 5)
tatyana61 [14]

Answer:

 (x - 2) • (4x + 1)

Step-by-step explanation:

3 0
2 years ago
1-cot^2a+cot^4a=sin^2a(1+cot^6a) prove it.​
aliina [53]

Step-by-step explanation:

We have

1-cot²a + cot⁴a = sin²a(1+cot⁶a)

First, we can take a look at the right side. It expands to sin²a + cot⁶(a)sin²(a) = sin²a + cos⁶a/sin⁴a (this is the expanded right side) as cot(a) = cos(a)/sin(a), so cos⁶a = cos⁶a/sin⁶a. Therefore, it might be helpful to put everything in terms of sine and cosine to solve this.

We know 1 = sin²a+cos²a and cot(a) = cos(a)/sin(a), so we have

1-cot²a + cot⁴a = sin²a+cos²a-cos²a/sin²a + cos⁴a/sin⁴a

Next, we know that in the expanded right side, we have sin²a + something. We can use that to isolate the sin²a. The rest of the expanded right side has a denominator of sin⁴a, so we can make everything else have that denominator.

sin²a+cos²a-cos²a/sin²a + cos⁴a/sin⁴a

= sin²a + (cos²(a)sin⁴(a) - cos²(a)sin²(a) + cos⁴a)/sin⁴a

We can then factor cos²a out of the numerator

sin²a + (cos²(a)sin⁴(a) - cos²(a)sin²(a) + cos⁴a)/sin⁴a

= sin²a + cos²a (sin⁴a-sin²a+cos²a)/sin⁴a

Then, in the expanded right side, we can notice that the fraction has a numerator with only cos in it. We can therefore write sin⁴a in terms of cos (we don't want to write the sin²a term in terms of cos because it can easily add with cos²a to become 1, so we can hold that off for later) , so

sin²a = (1-cos²a)

sin⁴a = (1-cos²a)² = cos⁴a - 2cos²a + 1

sin²a + cos²a (sin⁴a-sin²a+cos²a)/sin⁴a

= sin²a + cos²a (cos⁴a-2cos²a+1-sin²a+cos²a)/sin⁴a

= sin²a + cos²a (cos⁴a-cos²a+1-sin²a)/sin⁴a

factor our the -cos²a-sin²a as -1(cos²a+sin²a) = -1(1) = -1

sin²a + cos²a (cos⁴a-cos²a+1-sin²a)/sin⁴a

=  sin²a + cos²a (cos⁴a-1 + 1)/sin⁴a

= sin²a + cos⁶a/sin⁴a

= sin²a(1+cos⁶a/sin⁶a)

= sin²a(1+cot⁶a)

8 0
3 years ago
How do you find the percent of a number greater than 100?
bonufazy [111]

Answer:

Multiply the number by the percent (e.g. 87 * 68 = 5916)

Divide the answer by 100 (Move decimal point two places to the left) (e.g. 5916/100 = 59.16)

Round to the desired precision (e.g. 59.16 rounded to the nearest whole number = 59)

Step-by-step explanation:

lets say for example 234

234/2 = 117 and the percentage were looking for is ummmm 25% well 25% is 1/4th of 234 making it 1/2 of 117 25% of 234 is 58.8 lets do a harder one what is 47% of 234 Divide n by 100.

Multiply the result by x. making it 109.98

4 0
3 years ago
Read 2 more answers
1. 5+8 ÷2-7<br> 12× 3-42+20<br> please help me now<br> I will report your answer if bad
defon

1. 2

2. 14

5+(8÷2)-7

5+4-7

=2

(12x3) - 42 + 30

36-42+30

=14

4 0
2 years ago
Write the equation of the line parallel to 3x-y=7 that passes through point(-5,-3)
Ganezh [65]
<h2>Answer:</h2>

\boxed{y-3x=12}

<h2>Step-by-step explanation:</h2>

In this problem we know the equation of a line, which is:

3x-y=7

We also can write this equation as:

y=3x-7

The slope of this line is m=3 which is the slope of the line we are looking for because they're parallel. We also have a point (-5,-3). Therefore, we can write this equation as follows:

y-y_{0}=m(x-x_{0}) \\ \\ y-(-3)=3(x-(-5)) \\ \\ y+3=3(x+5) \\ \\ y+3=3x+15 \\ \\ \boxed{y-3x=12}

From the figures below, the line in red is 3x-y=7 while the line in blue is y-3x=12 and this line passes through the point (-5, -3)!

4 0
3 years ago
Read 2 more answers
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