Answer:
x = (-3±√5)/2
Step-by-step explanation:
Matching the given equation to the pattern ...
... ax² +bx +c = 0
we see that a=1, b=3, c=1.
The solution to the above pattern is given by the quadratic formula ...
... x = (-b±√(b²-4ac))/(2a)
Substituting the values of a, b, c that we found, the formula gives ...
... x = (-3±√(3²-4·1·1))/(2·1)
... x = (-3±√5)/2
Answer:
243
Step-by-step explanation:
3*3*3*3*3
Distribution is the way I learned it.
Total tax is $10.19, so the total price would be $177.19
Answer:
x = 25 degrees
Step-by-step explanation:
So we know that the 4x, 2x + 10°, and x - 5° and the measures of the three interior angles of the triangle. The sum of the interior angles of a triangle is 180°.
Using this, we can conclude that the sum of 4x, 2x + 10°, and x - 5° is equal to 180°.
We can write this information as the equation:
4x + (2x + 10) + (x - 5) = 180
We can use this equation to find the value of x. To find the value of x by using the equation, we need to solve for x (put the equation into the form x = _).
Solve for x:
4x + (2x + 10) + (x - 5) = 180
4x + 2x + 10 + x - 5 = 180
Combine like terms.
7x + 5 = 180
Subtract 5 from both sides to get rid of the +5 on the left side.
7x = 180 - 5
Simplify.
7x = 175
Divide both sides by 7 to get rid of the coefficient of 7 on the left side.
x = 175 ÷ 7
Simplify.
x = 25.
x would be equal to 25°.
x = 25 degrees
I hope you find this helpful. :)
