Answer:
x=4+root6x
Step-by-step explanation:
Answer:
(x -1)(12x +13)
Step-by-step explanation:
You are looking to rewrite the middle term as the sum of terms that have factors of (12)(-13) that have a total of +1. Those factors are -12 and +13, so the expression you are factoring by grouping is ...
12x^2 +13x -12x -13
= x(12x +13) -1(12x +13)
= (x -1)(12x +13)
Answer:
5 units
Step-by-step explanation:
Given:-
- The area of the circle was computed to be A = 78.5
- The value of π is estimated to be = 3.14
Find:-
What is the radius of the circle?
Solution:-
- The area of a circle (A) with radius ( r ) is computed by the following formula:
A = π*r^2
- Divide the equation by π :
r^2 = ( A / π )
- Take the square root of the entire equation:
r = √ ( A / π )
- Substitute the given values:
r = √ ( 78.5 / 3.14 )
- Resolve the fraction:
r = √25
- The perfect square root of 25
r = 5
Answer: The radius of the circle is r = 5 units
Answer:
a.) -1 < x < 5
b.) x <= 1
Step-by-step explanation: Domain is the independent variable (x).
For both question a and b, make sure that the number under the square root does not end up being negative. And the denominator of the fractional number is not equal to zero when variable x is being substituted for any value.
a.) y = √ x + 1 /√ 25 − x^2
Domain : -1 < x < 5
That is the minimum value for x is 0 and the maximum value is 4
b. f(x) = (√ 1 − x ) ln x
Domain : x <= 1
That is, x is less than or equal to 1
The maximum value for x is 1. x can be
1, 0, -1, -2, -3, ..........
Answer/Step-by-step explanation:
The angle CPA must be 90° because AB is a straight line and it is a measure of 180° and 180°-90° = 90°
