Hello friend,here is the sum
0.3+0.4= 0.7
0.3²+0.4²=0.9+0.16=0.25
<span>Hope helped !</span>
By applying Pythagorean theorem, we have proven that the point (-1/2, -√3/2) lies on the unit circle.
<h3>How to prove this point lies on the unit circle?</h3>
In Trigonometry, an angle with a magnitude of -120° is found in the third quarter and as such, both x and y would be negative. Also, we would calculate the reference angle for θ in third quarter as follows:
Reference angle = 180 - θ
Reference angle = 180 - 120
Reference angle = 60°.
For the coordinates, we have:
sin(-120) = -sin(60) = -1/2.
cos(-120) = -cos(60) = -√3/2.
By applying Pythagorean theorem, we have:
z² = x² + y²
z = √((-1/2)² + (-√3/2)²)
z = √(1/4 + 3/4)
z = √1
z = 1.
Read more on unit circle here: brainly.com/question/9797740
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Let
x = no of two point shorts
y = no of three point shorts
System of Equations:
x + y = 11 (Noah made a total of 11 shots altogether)
2x + 3y = 29 ( scored a total of 29 points.)
No. of Two point short Noah Made = 4;
No. of Three Point short Noah Made = 7;
<h3>Define System of linear equations?</h3>
- A collection of one or more linear equations involving the same variables is known as a system of linear equations (or linear system) in mathematics.
- The subject of linear algebra, which is employed in most areas of contemporary mathematics, is based on the theory of linear systems.
- Numerical linear algebra includes computational strategies for obtaining the solutions, which are crucial to the fields of engineering, physics, chemistry, computer science, and economics.
- A helpful strategy when creating a mathematical model or computer simulation of a relatively complex system is to approximate a system of non-linear equations by a linear system.
To learn more about : System of linear equations
ref : brainly.com/question/25976025
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Answer:
The coordinates are (1,-1).
Step-by-step explanation:
The image of the point (-5, 1) under a translation is (-6,3).
Point x was -5 and now is -6, and y was 1 and now is 3. Thus, the transaction rule is:
(x,y) -> (x - 1, y + 2)
Find the coordinates of the image of the point (2, -3) under the same translation.
(2,-3) -> (2-1, -3 + 2) = (1,-1)
The coordinates are (1,-1).
Answer:
B
Step-by-step explanation:
Domain of inverse = Range of f = x>-4
Hence B