Answer:
A. √25
General Formulas and Concepts:
<u>Math</u>
- Rational Numbers - numbers that can be written as integers, terminating decimals, or fractions
- Irrational Numbers - numbers that have non-terminating decimals i.e infinite decimals and cannot be written into a fraction
Step-by-step explanation:
<u>Step 1: Define</u>
A. √25
B. √123
C. √20
D. π
<u>Step 2: Identify</u>
A. √25 = 5; Rational
B. √123 ≈ 11.0905...; Irrational
C. √20 = 2√5 ≈ 4.47214...; Irrational
D. π ≈ 3.1415926535897932384626433832795...; Irrational
Therefore, our answer choice is A.
Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )
Answer:
210 by 120
Step-by-step explanation:
perimeter=2l+2w
length= 2w-30
width= w
2(2w-30+w) = 660
6w-60= 660
6w= 720
w=120
length= 2*120-30 = 210