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Lunna [17]
3 years ago
5

ℜ 0, -180 is the same rotation as _______.

Mathematics
2 answers:
Alchen [17]3 years ago
5 0

Answer:

the first on 0,180

Step-by-step explanation:


3241004551 [841]3 years ago
4 0
Since 0, -180 is the rotation and if you look at the other rotations like 90, 180 the first rotation would be different. so 0, 180 is the same as 0, -180 because they both would be a full rotation of a 180 rotation. The first number "0 ," would have to be the same.
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What is the proper seperation of factors for this equation ∛24n² × ∛36n²
Gwar [14]

Answer:

{ \tt{ \sqrt[3]{24 {n}^{2}  }  \times  \sqrt[3]{36 {n}^{2} } }} \\  = { \tt{(  {n}^{ \frac{2}{3} })( \sqrt[3]{864})  }}

8 0
3 years ago
The sides of a right triangle have a relationship as depicted below, where x is the length of the longer leg in inches.
Ratling [72]
The equation to represent the area of the triangle would be:
y = 1/2(x²) - (7/2)x

The equation to represent the perimeter of the triangle would be:
y = 3x - 6

The solutions to the system would be (12, 30) or (1, -3).  The only viable solution is (12, 30).

Explanation
The area of a triangle is found using the formula
A = 1/2bh

For our triangle, b = x and h = x-7, so we have:
A = 1/2(x)(x-7)
A = 1/2(x²-7x)
A = 1/2(x²) - (7/2)x

We will replace A with y, so we have:
y = 1/2(x²) - (7/2)x

The perimeter of a triangle is found by adding together all sides, so we have:
P = (x-7) + x + (x+1)

Combining like terms we get:
P = 3x - 6

We will replace P with y, so we have:
y = 3x - 6

Since both equations have y isolated on one side, it will be easy to use substitution to solve the system:

3x - 6 = 1/2(x²) - (7/2)x

It's easier to work with whole numbers, so we will multiply everything by 2:
6x - 12 = x² - 7x

We want all of the variables on one side, so we will subtract 6x:
6x - 12 - 6x = x² - 7x - 6x
-12 = x² - 13x

When solving quadratics, we want the equation equal to 0, so we will add 12:
-12+12 = x² - 13x + 12
0 = x² - 13x + 12

This is easy to factor, as there are factors of 12 that sum to -13; -12(-1) = 12 and -12+-1 = -13:
0 = (x-12)(x-1)

Using the zero product property, we know that either x-12=0 or x-1=0; therefore x=12 or x=1.

Putting these back into our equation for perimeter (the simplest one) we have:
y = 3(12)-6 = 36-6 = 30; (12, 30);
y = 3(1) - 6 = 3 - 6 = -3; (1, -3)

We cannot have a negative perimeter, so the only viable solution is (12, 30).
8 0
2 years ago
What is the ratio of the corresponding side lengths?<br> 4:9<br> 4:2<br> 26:26<br> 4.5:2
Evgen [1.6K]

Answer:

4:2

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
an airplaine descends 1.5 miles to an elevation of 5.25 miles. find the elevation of the plane before its descent
Maksim231197 [3]

We can then write an equation representing this problem as:

e−1.5mi=5.25mi

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e−1.5mi+1.5mi=5.25mi+1.5mi

e−0=6.75mi

e=6.75mi

The plane's starting elevation was 6.75 miles

Hope this helps!

8 0
3 years ago
A teacher asks his students to write the numbers shown in order from least to greatest. Paul thinks the numberss are already in
Sergeu [11.5K]
What are the numbers? 
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3 years ago
Read 2 more answers
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