675 : 5 = 135
135 : 5 = 27
27 : 3 = 9
9 : 3 = 3
3 : 3 = 1
675 = 5 · 5 · 3 · 3 · 3 = 5² · 3³
Step-by-step explanation:
2(3x-5)=5x-3
6x -10 =5x -3
x=7
Answer:
Step-by-step explanation:
Given:
< C = 53°
< B = 80°
a = 2
Required:
Find b
Solution:
The question given suggests we are given measures for a ∆.
To find side b, which corresponds to angle B, first, we'd find angle A, which corresponds to side a, then apply the Law of sines to find side b.
=> A = 180 - (53 + 80) = 47°
Law of Sines:
Plug in the values into the formula
Cross multiply
Divide both sides by sin(47) to make b the subject of formula
(nearest tenth)
Answer:
see explanation
Step-by-step explanation:
The inverse of a matrix A = is
=
If ad - bc = 0 then the matrix has no inverse
A =
ad - bc = (11 × - 1) - (- 5 × 3) = - 11 - (- 15) = - 11 + 15 = 4 , then
= =
Answer:
x = - 4, x = 6
Step-by-step explanation:
Given
f(x) = x² - 2x + 3 and f(x) = 27, then equating the 2 gives
x² - 2x + 3 = 27 ( subtract 27 from both sides )
x² - 2x - 24 = 0 ← in standard form
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 2)
The factors are - 6 and + 4, since
- 6 × 4 = - 24 and - 6 + 4 = - 2, thus
(x - 6)(x + 4) = 0
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 4 = 0 ⇒ x = - 4