Answer:
y - Q = -5/2(x - P)
Step-by-step explanation:
The equation of a line in point slope form is expressed as y - y0 = m(x-x0)
(x0, y0) is the point
m is the slope
Given the equation
y = 2/5x− 4.
Slope m = 2/5
Slope of the perpendicular line = -1/(2/5) = -5/2
Point;
x0 = P
y0 = Q
Substitute into the formula;
y - y0 = m(x-x0)
y - Q = -5/2(x - P)
This gives the required equation
The area of a rectangle is shown through length times width. Being so, 13.7 times 10.5 equals 143.85 m^2.
Answer:
The solutions of the equation are 0 , π
Step-by-step explanation:
* Lets revise some trigonometric identities
- sin² Ф + cos² Ф = 1
- tan² Ф + 1 = sec² Ф
* Lets solve the equation
∵ tan² x sec² x + 2 sec² x - tan² x = 2
- Replace sec² x by tan² x + 1 in the equation
∴ tan² x (tan² x + 1) + 2(tan² x + 1) - tan² x = 2
∴ tan^4 x + tan² x + 2 tan² x + 2 - tan² x = 2 ⇒ add the like terms
∴ tan^4 x + 2 tan² x + 2 = 2 ⇒ subtract 2 from both sides
∴ tan^4 x + 2 tan² x = 0
- Factorize the binomial by taking tan² x as a common factor
∴ tan² x (tan² x + 2) = 0
∴ tan² x = 0
<em>OR</em>
∴ tan² x + 2 = 0
∵ 0 ≤ x < 2π
∵ tan² x = 0 ⇒ take √ for both sides
∴ tan x = 0
∵ tan 0 = 0 , tan π = 0
∴ x = 0
∴ x = π
<em>OR</em>
∵ tan² x + 2 = 0 ⇒ subtract 2 from both sides
∴ tan² x = -2 ⇒ no square root for negative value
∴ tan² x = -2 is refused
∴ The solutions of the equation are 0 , π
Answer:
2, 3
1.01, 1
Percentage uncertainty
Step-by-step explanation:
a) The significant figures in the number 99 is 2
The significant figures in the number 100 is 3
b) Uncertainty in each of the numbers for both the numbers is 1
Percentage uncertainty
99
Percentage uncertainty = 1.01
100
Percentage uncertainty = 1
c) Percentage uncertainty is a better way to express the numbers as the significant figures do not show the actual value of the numbers.
Answer is A, you should not do negatives on the other side, copy the same monomial on the other sides