Answer:
a = 0,-1
Step-by-step explanation:
a^2 + a=0
Factor out an a
a(a+1) =0
Using the zero product property
a=0 a+1 =0
a=0 a= -1
Answer:
-11
Step-by-step explanation:
First we plug -2 in for c
4(-2)-3=-8-3=-11
Answer:
20 ,70
Step-by-step explanation:
Complementary angles sum up to 90
2x + 4x + 30 = 90
6x + 30 = 90
Subtract 30 from both sides
6x = 90 - 30
6x = 60
x = 60/6
x = 10
2x = 2*10 = 20
4x +30 = 4*10 +30 = 40 +30 = 70
9 girls and 9 boys equals 18 students
<h2>Repeating Decimal to Fraction</h2>
Note: "..." is the repeating sign I'm using.
Answer: 2/9
<h3>
Steps</h3>
Let X equal the decimal number
Equation 1:
X = 0.2...
With 1 digit in the repeating decimal group,
create a second equation by multiplying
both sides by 10
X * 10 = 10X and 0.2...* 10 = 2.2...
Equation 2:
10X = 2.2...
Subtract equation 1 from equation 2
10X = 2.2... - X = 0.2...
We get
9X = 2
In conclusion, 0.2... = 2/9
<h2>Repeating Decimal to Mixed Number</h2>
This decimal cannot be a mixed number because it has no number in the one's, ten's, or hundred's place.