Answer: 79
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
<u>Given information</u>
10x² - 7x + 10
x = 3
<u>Substitute the value into the expression</u>
= 10 (3)² - 7 (3) + 10
<u>Simplify by multiplication</u>
= 10 (9) - 21 + 10
= 90 - 21 + 10
<u>Simplify by subtraction</u>
= 69 + 10
<u>Simplify by addition</u>
= 79
Hope this helps!! :)
Please let me know if you have any questions
Answer:
7040 :)
Four miles is equal to 7040 yards.
Around 6 times. This is only an approximation and not a proper answer so make sure to note is as such
Answer:
2pi/3
Step-by-step explanation:
Given are two complex numbers as
![z1=6(cos\frac{3\pi }{2} +isin\frac{3\pi }{2}) \\z2=[tex]We are to find the argument of z1/z2Since both are in mod, argument form we can use Demoivre theorem for complex numbers to find the quotientQuotient = [tex]\frac{z1}{z2} =\frac{6(cos\frac{3\pi }{2} +isin\frac{3\pi }{2})}{2(cos\frac{5\pi }{6} +isin\frac{5\pi }{6})} \\=\frac{6}{2} (2(cos\frac{4\pi }{6} +isin\frac{4\pi }{6})\\=3 (cos\frac{2\pi }{3} +isin\frac{2\pi }{3})](https://tex.z-dn.net/?f=z1%3D6%28cos%5Cfrac%7B3%5Cpi%20%7D%7B2%7D%20%2Bisin%5Cfrac%7B3%5Cpi%20%7D%7B2%7D%29%20%5C%5Cz2%3D%5Btex%5D%3C%2Fp%3E%3Cp%3EWe%20are%20to%20find%20the%20argument%20of%20z1%2Fz2%3C%2Fp%3E%3Cp%3ESince%20both%20are%20in%20mod%2C%20argument%20form%20we%20can%20use%20Demoivre%20theorem%20for%20complex%20numbers%20to%20find%20the%20quotient%3C%2Fp%3E%3Cp%3EQuotient%20%3D%20%3C%2Fp%3E%3Cp%3E%5Btex%5D%5Cfrac%7Bz1%7D%7Bz2%7D%20%3D%5Cfrac%7B6%28cos%5Cfrac%7B3%5Cpi%20%7D%7B2%7D%20%2Bisin%5Cfrac%7B3%5Cpi%20%7D%7B2%7D%29%7D%7B2%28cos%5Cfrac%7B5%5Cpi%20%7D%7B6%7D%20%2Bisin%5Cfrac%7B5%5Cpi%20%7D%7B6%7D%29%7D%20%5C%5C%3D%5Cfrac%7B6%7D%7B2%7D%20%282%28cos%5Cfrac%7B4%5Cpi%20%7D%7B6%7D%20%2Bisin%5Cfrac%7B4%5Cpi%20%7D%7B6%7D%29%5C%5C%3D3%20%28cos%5Cfrac%7B2%5Cpi%20%7D%7B3%7D%20%2Bisin%5Cfrac%7B2%5Cpi%20%7D%7B3%7D%29)
Thus we find that argument = 2pi/3
Step-by-step explanation:
2x+3y=13..........(I)
2x-3y=5.….........(II)
Subtract equation II from equation I
0+6y=8
6y=8
y=8/6=4/3
Substitute 4/3 for y in 2x-3y=5
2x-3×(4/3)=5
2x-4=5
Collect like terms
2x=4+5
2x=9
x=9/2
Therefore,y=4/3,x=9/2