Answer:
2
Step-by-step explanation:
∵a+1,2a+1,4a-1 are in A.P.
2(2a+1)=a+1+4a-1
4a+2=5a
5a-4a=2
a=2
You can write both numbers as fractions:
![6.3=\dfrac{63}{10},\quad 0.9=\dfrac{9}{10}](https://tex.z-dn.net/?f=6.3%3D%5Cdfrac%7B63%7D%7B10%7D%2C%5Cquad%200.9%3D%5Cdfrac%7B9%7D%7B10%7D)
Dividing by a fraction is the same as multiplying by its inverse, so we have
![\dfrac{63}{10}\div \dfrac{9}{10}=\dfrac{63}{10}\cdot\dfrac{10}{9}](https://tex.z-dn.net/?f=%5Cdfrac%7B63%7D%7B10%7D%5Cdiv%20%5Cdfrac%7B9%7D%7B10%7D%3D%5Cdfrac%7B63%7D%7B10%7D%5Ccdot%5Cdfrac%7B10%7D%7B9%7D)
We can cross-simplify the 10's and we have
![\dfrac{63}{10}\cdot\dfrac{10}{9}=\dfrac{63}{9}=7](https://tex.z-dn.net/?f=%5Cdfrac%7B63%7D%7B10%7D%5Ccdot%5Cdfrac%7B10%7D%7B9%7D%3D%5Cdfrac%7B63%7D%7B9%7D%3D7)
angle1 = 4y - 9°
angle2 = 40°
angle3 = 5y°
Angle sum property
180° = angle1 + angle2 + angle3
Therefore,
180 = (4y - 9) + 40 + 5y
180 = 4y - 9 + 40 + 5y
180 = 9y + 31
180 - 31 = 9y
149 = 9y
149/9 = y
Answer:
(-2,-7)
Step-by-step explanation:
because it's reflected across the x-axis, only the y-intercept will change
<u>Answer:</u>
The correct answer option is B) x equals quantity of negative 7 plus or minus I square root of 3 all over 2.
<u>Step-by-step explanation:</u>
We are given the following quadratic equation:
![x^2-7x=-13](https://tex.z-dn.net/?f=x%5E2-7x%3D-13)
Taking the constant on the same side as the variable to get:
![x^2-7x+13=0](https://tex.z-dn.net/?f=x%5E2-7x%2B13%3D0)
Since, it cannot be factorized so we will use the quadratic formula:
x = ![\frac{-2+-\sqrt{b^2-4ac} }{2a}](https://tex.z-dn.net/?f=%5Cfrac%7B-2%2B-%5Csqrt%7Bb%5E2-4ac%7D%20%7D%7B2a%7D)
Substituting in the values of a, b and c in the above formula to get:
x= ![\frac{-(-7)+-\sqrt{(-7)^2-4(1)(13)} }{2(1)}](https://tex.z-dn.net/?f=%5Cfrac%7B-%28-7%29%2B-%5Csqrt%7B%28-7%29%5E2-4%281%29%2813%29%7D%20%7D%7B2%281%29%7D)
x =
, x = ![\frac{7}{2} - i\frac{\sqrt{3} }{2}](https://tex.z-dn.net/?f=%5Cfrac%7B7%7D%7B2%7D%20-%20i%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B2%7D)
Therefore, the correct answer option is B) x equals quantity of negative 7 plus or minus I square root of 3 all over 2.