Answer:
(sec θ - tan θ)²
= sec² θ –2 sec θ tan θ + tan² θ
15 = 0.25x
1500 = 25x
60 = x
The original price was $60.
Answer:
2n² + 1
Step-by-step explanation:
Given polynomial:
(4n² + 3n – 5) − (2n² + 3n - 6)
Solution:
Removing parentheses,we obtain
Combine like terms:
Done!
Order:BPEMDAS
Answer:
AB: 24
BC: 15
CD: 24
AD: 15
Step-by-step explanation:
A quadrilateral is any shape with four sides. A parallelogram has four sides, therefore it is classified as a quadrilateral.
The opposite sides of a parallelogram are equal to each other, so make the opposite sides of this parallelogram equal to each other in an equation.
AB = DC
AD = BC
Now you have a system of equations that you can solve by substitution.
Solve for y in the first equation by subtracting 2 from both sides.
Subtract 3y from both sides of the equation.
Divide both sides of the equation by negative 1 to make y a positive number.
Substitute this value of y into the second equation we made.
3x + 6 = (11) + 4
Combine like terms on the right side of the equation then subtract 6 from what you get.
Divide both sides of the equation by 3.
To find the length of each side of the parallelogram, substitute x into AD and y into AB.
- AD: 3(3) + 6 = 15
- AB: 2(11) + 2 = 24
Since AD = BC and AB = DC, you know the lengths for these sides as well.
Answer:
the first and second car seats are appropriate for a 33 lb. child. The first seat suits children up to 34 lb. The second seat suits children that weight between 16 to 40 lb.
The only seat that is not appropriate would be the third one that is too large, since children between 34 to 90 lb. should use it.
seat 1 ≤ 34 lb ⇒ simple inequality
16 lb < seat 2 and seat 2 < 40 lb ⇒ compound inequality
34 lb < seat 3 and seat 3 ≤ 90 lb ⇒ compound inequality
