Answer:
x = 20
Step-by-step explanation:
x° + 2x° + (x+10)° = 90°
3x° + x° + 10° = 90°
4x° + 10° = 90°
4x° = 90°-10°
4x° = 80°
x = 80/4
x = 20
Answer:
15, 5, 5/3, 5/9, 5/27
Step-by-step explanation:
Recall, that the general form of a geometric series is
a, ar, ar², ar³, .........
where a is the first term and r is the ratio
It is given that the first time is 15, hence a = 15
also given that ratio is 1/3
hence the first 5 terms are:
15, (15)(1/3), (15)(1/3)^2, (15)(1/3)^3, (15)(1/3)^4
simplifying each term gives
15, 5, 5/3, 5/9, 5/27
Answer:
a = 3
Step-by-step explanation:
Factor both expressions
x² - x - 6
Consider the factors of the constant term (- 6) which sum to give the coefficient of the x- term (- 1)
The factors are - 3 and + 2 , since
- 3 × 2 = - 6 and - 3 + 2 = - 1 , thus
x² - x - 6 = (x - 3)(x + 2)
-----------------------------------
x² + 3x - 18
consider factors of constant term (- 18) which sum to give the coefficient of the x- term (+ 3)
The factors are + 6 and - 3 , since
6 × - 3 = - 18 and 6 - 3 = + 3 , thus
x² + 3x - 18 = (x + 6)(x - 3)
Both expressions have a common factor of (x - 3)
Compare with (x - a ), then a = 3
If a binomial x-a is a factor of a polynomial p(x), then p(a)=0.
x+2 is a factor of p(x)=x³-6x²+kx+10, so p(-2)=0.
Answer:
-1
Step-by-step explanation:
First we combine like terms, so y2 - 5y = - 3y
Now we get - 3y = 3
Then we divide both sides by - 3
Now we get y =-1
