Answer:
see explanation
Step-by-step explanation:
A difference of 2 squares factors in general as
a² - b² = (a - b)(a + b)
(x - 1)² - 25 ← is a difference of squares
with a = x - 1 and b = 5, thus
(x - 1)² - 25
=(x - 1 - 5)(x - 1 + 5) = (x - 6)(x + 4), then
(x - 6)(x + 4) = 0
Equate each factor to zero and solve for x
x - 6 = 0 ⇒ x = 6
x + 4 = 0 ⇒ x = - 4
Solutions are x = - 4, x = 6
Answer: y = -4x + 4
<u>Step-by-step explanation:</u>
use the product formula (ab' + a'b) to find the derivative:
x * (1 - 2x)³
a = x a' = 1
b = (1 - 2x)³ b' = 3(-2)(1 - 2x)²
= -6(1 - 2x)²
<u>ab' + a'b</u>
= x(-6)(1 - 2x)² + 1(x)
= -6x(1 - 2x)² + x
Plug in the given x-values to find the slope:
= -6(1)(1 - 2(1))² + (1)
= -6(-1)² + 1
= -6 + 1
= -5
Next, input the slope and the point into the Point-Slope formula:
y + 1 = -5(x - 1)
y + 1 = -4x + 5
y = -4x + 4
<u>Answer</u>
C. 4 + 6
D. 3.15151515.. + 4.6
E. √64 × √25
<u>Explanation</u>
A rational number is a number that can be expressed as a quotient or a fraction. That is it can be written as a/b.
π×6 = 6π ⇒ can not be written as a rational number.
√3 + √5 ⇒ the sum of two irrational numbers can not be rational.
4 + 6 = 10. Ten is a rational number. it can be written as 10/1
3.15151515.. + 4.6 = 104/33 + 23/5
= 1279/165
√64 × √25 = 8×5=40 This can be written as 40/1
Answer: x = 27
Step-by-step explanation:
2x+3x+45=180º because all of the angles of a triangle add up to 180
5x=180-45
5x=135
x=135/5
x=27