Completing the square
alrighty
minus 31 both sides
x²+12x=-31
take 1/2 of the linear coefient and square it
12 is the linear coefient
12/2=6, (6)²=36
add that to both sides
x²+12x+36=36-31
factor perfect square trinomial
(x+6)²=5
square root both sides, remember to take positive and negative root
x+6=+/-√5
so what you want to write is
x+6=√5 and
x+6=-√5
the solutions
minus 6 both sides
x=-6+√5 and -6-√5
Write 0.055 as
0.055
1
Multiply both the numerator and denominator by 10 for each digit after the decimal point.
0.055
1
The factors of 55 are: 1 5 11 55
The factors of 1000 are: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000
The Greatest Common Factor (GCF) for both 55 and 1000 is: 5
Now to reduce the fraction we divide both the numerator and denominator by the GCF value.
=
0.055 x 1000
1 x 1000
=
55
1000
In order to reduce the fraction find the Greatest Common Factor (GCF) for 55 and 1000. Keep in mind a factor is just a number that divides into another number without any remainder.
Answer ( 55/1000
= 11/200)
Answer:
32
Step-by-step explanation:
Answer:
x=-595
Step-by-step explanation:
x/17=-35 Multiply on each side by 17
x=-595
Answer:
Step-by-step explanation:
If AS is an angle bisector, then angle XAS is congruent to angle PAS; mathematically, that looks like this:
3x + 15 = 2x + 30 and x = 15.
3(15) + 15 = angle XAP, which is 120.
Because angle XAS is congruent to angle PAS, then the sides across from those congruent angles also should be congruent. Let's check it, just to make sure:
XS = PS --> 2(15) + 9 = 39 and 4(15) - 21 = 39. So that checks out. Because AS is congruent to itself by the reflexive property, then what this means is that triangle XAS is congruent to triangle PAS, making angle x and P the same measure. Looking at the whole big triangle, triangle XAP, if angle XAP measures 120, then angle X = angle P = (180 - 120) / 2, so angle X = 30.
