Answer:
Therefore,
![x = 9](https://tex.z-dn.net/?f=x%20%3D%209)
Step-by-step explanation:
Given:
Let,
point L( x₁ , y₁) ≡ ( -6 , 2)
point M( x₂ , y₂ )≡ (x , 2)
l(AB) = 15 units (distance between points L and M)
To Find:
x = ?
Solution:
Distance formula between Two points is given as
![l(LM)^{2} = (x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}](https://tex.z-dn.net/?f=l%28LM%29%5E%7B2%7D%20%3D%20%28x_%7B2%7D-x_%7B1%7D%29%5E%7B2%7D%2B%28y_%7B2%7D-y_%7B1%7D%29%5E%7B2%7D)
Substituting the values we get
![15^{2}=(x--6)^{2}+(2-2)^{2}\\\\225=(x+6)^{2}](https://tex.z-dn.net/?f=15%5E%7B2%7D%3D%28x--6%29%5E%7B2%7D%2B%282-2%29%5E%7B2%7D%5C%5C%5C%5C225%3D%28x%2B6%29%5E%7B2%7D)
Square Rooting we get
![(x+6)=\pm \sqrt{225}=\pm 15\\\\x+6 = 15\ or\ x+6 = -15\\\\x= 9\ or\ x = -21](https://tex.z-dn.net/?f=%28x%2B6%29%3D%5Cpm%20%5Csqrt%7B225%7D%3D%5Cpm%2015%5C%5C%5C%5Cx%2B6%20%3D%2015%5C%20or%5C%20x%2B6%20%3D%20-15%5C%5C%5C%5Cx%3D%209%5C%20or%5C%20x%20%3D%20-21)
As point M is located in the first quadrant
x coordinate and y coordinate are positive
So x = -21 DISCARDED
Hence,
![x = 9](https://tex.z-dn.net/?f=x%20%3D%209)
Therefore,
![x = 9](https://tex.z-dn.net/?f=x%20%3D%209)
The one near the five is in the hundreds place and the one near the 4 is in the tenth place.
Feel free to message me if you need help on another problem.
Answer:
48+23(6)½
Step-by-step explanation:
A = l × w
A =[(8-(6)^½) × (9+4(6)^½)]
A =8(9+4(6)^½) + [-(6)^½(9+4(6)^½]
A =(72 + 32(6)^½ - 9(6)^½ - 24)
A =(72 - 24 + 32(6)^½ - 9(6)^½)
A =(48 + 23(6)^½)
Answer:
$73000
Step-by-step explanation:
Given: Social security tax paid by Yolanda is $4562.
6.2% tax to be paid on earning to the maximum income of $128400.
Lets assume Yolanda´s income be `x`.
Now, calculating the taxable income of Yolanda
∴ ![62\% \times x= \$ 4526](https://tex.z-dn.net/?f=62%5C%25%20%5Ctimes%20x%3D%20%5C%24%204526)
⇒ ![\frac{62}{100} \times x= 4526](https://tex.z-dn.net/?f=%5Cfrac%7B62%7D%7B100%7D%20%5Ctimes%20x%3D%204526)
Cross multiplying both side
⇒ x= ![\frac{4526\times 100}{6.2}](https://tex.z-dn.net/?f=%5Cfrac%7B4526%5Ctimes%20100%7D%7B6.2%7D)
∴x= $73000
∴ Yolanda´s taxable income is $73000.