It would be your second option. It's the only one that passes the vertical line test.
The area of the rectangular patio to be painted is: B. A = (x + 20)(x + 10) - 12.
<h3>What is a Rectangle?</h3>
A rectangle, by definition, is a quadrilateral with two pairs of opposite that have the equal lengths. All four angles of a rectangle are right angles (90 degrees).
<h3>What is the Area of a Rectangle?</h3>
The area of a rectangle = (length of rectangle)(width of rectangle).
Given the following parameters for the patio and the bench:
- Length of rectangular patio = x + 20
- Width of rectangular patio = x + 10
- Length of rectangular bench = 6
- Width of rectangular bench = 2
Area to be painted = area of rectangular patio - area of rectangular bench
Area of rectangular patio = (x + 20)(x + 10)
Area of rectangular bench = (6)(2) = 12
Area to be painted = (x + 20)(x + 10) - 12
The answer is: B. A = (x + 20)(x + 10) - 12.
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Answer:
see explanation
Step-by-step explanation:
Given
6a² - a - 5 = 0
Consider the factors of the product of the a² term and the constant term which sum to give the coefficient of the a- term.
product = 6 × - 5 = - 30 and sum = - 1
The factors are - 6 and + 5
Use these factors to split the a- term
6a² - 6a + 5a - 5 = 0 ( factor the first/second and third/fourth terms )
6a(a - 1) + 5(a - 1) = 0 ← factor out (a - 1) from each term
(a - 1)(6a + 5) = 0
Equate each factor to zero and solve for a
a - 1 = 0 ⇒ a = 1
6a + 5 = 0 ⇒ 6a = - 5 ⇒ a = -
Solution set = { 1, - }
Answer:
x = 4
Step-by-step explanation:
(6x - 3)° = (2x + 13)° are vertical angles that equal each other get x by itself and solve for x.
(6x - 3)° = (2x + 13)°
6x - 2x = 13 + 3
4x = 16
x = 4
Substitute x for the angles.
(6x - 3)° = ?
(6*4 - 3)° = ?
(24 - 3)° = 21°
(2x + 13)° = ?
(2*4 + 13)° = ?
(8 + 13)° = 21°
It’s x=0 isn’t it that answer