Hey there! :)
For this, you have to use the Pythagorean Theorem.
a² + b² = c² is the same as c² - a² = b²
c = 26
26² = 26 × 26 = 676
a = 10
10² = 10 × 10 = 100
676 - 100 = 576
√576 = 24
b = 24 cm
Hope this helps :)
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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so you take the average of the x coordinates and the average of the y coordinates to get the midpoint like this
Since the problem is given all the total walking distance, the first thing we are going to do is find the total distance in the map:
![Diastance_{map}=3+4+2+1](https://tex.z-dn.net/?f=Diastance_%7Bmap%7D%3D3%2B4%2B2%2B1)
![Distance_{map}=10](https://tex.z-dn.net/?f=Distance_%7Bmap%7D%3D10)
Now that we have the distance in the map, we can establish a ratio between the walking distance and the distance in the map:
![\frac{5miles}{10inches} = 0.5 \frac{mile}{inch}](https://tex.z-dn.net/?f=%20%5Cfrac%7B5miles%7D%7B10inches%7D%20%3D%200.5%20%5Cfrac%7Bmile%7D%7Binch%7D%20)
We can conclude that each inch the map represents 0.5 miles of walking distance.
The given complex number is (<span>−4 as the real part and 2 as the imaginary part)
</span>
Which mean the given complex number is ⇒ ( -4 + 2 i )
The conjugate of a complex number <span>is the number with an equal real part and an imaginary part equal in magnitude but with opposite sign.
</span>
So, the real part which is -4 will be the real of the conjugate
And the imaginary part of the <span>conjugate will be -2i
</span>
So, the conjugate of the given complex number ( -4 - 2 i )
So, the correct answer is the third option ⇒ <span>−4 − 2i</span>