Answer:
The standard form of quadratic equation is 
The factored form of is 
Step-by-step explanation:
Given equation 
We have to write in standard form and then factorize the given equation.
The standard form for a general quadratic equation is given as 
Consider
Taking all terms to left side, we have,
Adding like terms, we have,
Now we will factorize it.
We will solve the quadratic equation using middle term splitting method,
-16x can be written as -18x+2x
becomes
Taking x common from first two terms and 2 common from last two terms we have,
Thus, the factored form of is
Answer:
(x + 1)² = 7
Step-by-step explanation:
Given:
-2x = x² - 6
We'll start by rearranging it to solve for zero:
x² + 2x - 6 = 0
The first term is already a perfect square so that's fine. Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.
Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term. That value will of course be 1, giving us:
x² + 2x + 1 - 1 - 6 = 0
Now can group our perfect square on the left and our constants on the right:
x² + 2x + 1 - 7= 0
x² + 2x + 1 = 7
(x + 1)² = 7
To check our answer, we can solve for x:
x + 1 = ± √7
x = -1 ± √7
x ≈ 1.65, -3.65
Let's try one of those in the original equation:
-2x = x² - 6
-2(1.65) = 1.65² - 6
- 3.3 = 2.72 - 6
-3.3 = -3.28
Good. Given our rounding that difference of 2/100 is acceptable, so the answer is correct.
10
Because if you do 5•2 you get 10
More in depth explanation:
Though there are 25 possible configurations the question asks for two different toppings together. It also asks for unique combinations. So AB and BA are the same combination in this context. The only unique possibilities are
AB
AC
AD
AE
BC
BD
BE
CD
CE
DE
It is easy to simplify this into 5•2 for this situation. And if the question asked for three toppings you would do 5•3.
However if the question asked for the configurations for two toppings then you would do 5•5 and if it asked for the configurations of 3 toppings you would do 5•5•5
Answer:
x = 40
Step-by-step explanation:
Angles SRT and STR are congruent, so they have the same measure.
The measure of <SRT is 20, so the measure of <STR is also 20.
Angles STR and STU form a linear pair. Two angles that form a linear pair are supplementary, so their measures add up to 180.
m<STR + m<STU = 180
20 + 4x = 180
4x = 160
x = 40
