Let k = the constant amount added to the sequence since this
is an arithmetic sequence
x = missing
number
You have to formulate an equation based on the sequence:
6 + k = x or k = x – 6
x + k = 30
Substitute the value of k to the second formula:
x + x – 6 = 30
2x = 36
x = 18
Therefore, the missing number is 18.
Answer:
b. ![\frac{7+\sqrt{61} }{6} ,\frac{7-\sqrt{61} }{6}](https://tex.z-dn.net/?f=%5Cfrac%7B7%2B%5Csqrt%7B61%7D%20%7D%7B6%7D%20%2C%5Cfrac%7B7-%5Csqrt%7B61%7D%20%7D%7B6%7D)
Step-by-step explanation:
![3x^{2} -1=7x](https://tex.z-dn.net/?f=3x%5E%7B2%7D%20-1%3D7x)
Quadratic equations are suppose to be written as: ![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
so the new quadratic equation for this problem will be: ![3x^{2} -1-7x=0](https://tex.z-dn.net/?f=3x%5E%7B2%7D%20-1-7x%3D0)
Now rearrange the terms:
Then use the Quadratic Formula to Solve for the Quadratic Equation
Quadratic Formula =
Note: Ignore the A in the quadratic formula
Once in standard form, identify a, b and c from the original equation and plug them into the quadratic formula.
![3x^{2} -7x-1=0](https://tex.z-dn.net/?f=3x%5E%7B2%7D%20-7x-1%3D0)
a = 3
b = -7
c = -1
![x=-(-7)±\frac{\sqrt{(-7)^2-4(3)(-1)} }{2(3)}](https://tex.z-dn.net/?f=x%3D-%28-7%29%C2%B1%5Cfrac%7B%5Csqrt%7B%28-7%29%5E2-4%283%29%28-1%29%7D%20%7D%7B2%283%29%7D)
Evaluate The Exponent
![x=\frac{7±\sqrt{(49)-4(3)(-1)} }{2(3)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B7%C2%B1%5Csqrt%7B%2849%29-4%283%29%28-1%29%7D%20%7D%7B2%283%29%7D)
Multiply The Numbers
![x=\frac{7±\sqrt{49+12} }{2(3)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B7%C2%B1%5Csqrt%7B49%2B12%7D%20%7D%7B2%283%29%7D)
Add The Numbers
![x=\frac{7±\sqrt{61} }{2(3)}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B7%C2%B1%5Csqrt%7B61%7D%20%7D%7B2%283%29%7D)
Multiply The Numbers
![x=\frac{7±\sqrt{61} }{6}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B7%C2%B1%5Csqrt%7B61%7D%20%7D%7B6%7D)
Answer:
option 1
Step-by-step explanation:
Corresponding parts of congruent triangles are equal or congruent
65÷455= 7
Hope this helps!
Answer:
by pyth the
side^2 = 61^2-60^2
side^2 = 121
side = 11
Step-by-step explanation:
Please mark me as brainlyest