Answer:
Step-by-step explanation:
y + 5 = -8(x + 10)
y + 5 = -8x - 80
y = -8x - 85
Answer:
x<3
Step-by-step explanation:
Answer:
The answer is below
Step-by-step explanation:
Select the correct answer from each drop-down menu. Simplify the given polynomial and use it to complete the statement.
(-5x² - 2x + 4) + (8x² - x - 1) + (x + 2)(x - 5)
.The polynomial simplifies to an expression that is a____
A.quadratic
B.liner
C.constany
A.trinomial
B.binomial
C.monomial
with a degree of____
A.1
B.2
C.0
Solution:
A polynomial is an expression involving operations of addition, subtraction, multiplication, exponents which consists of variables and their coefficient. A trinomial is a polynomial consisting of three terms, while a binomial consist of two terms and a monomial consist of one term.
The degree of a polynomial is the highest degree of any of the terms of the polynomial. If it has a degree of 0 it is a constant, a degree of 1 it is linear while for a degree of 2 it is quadratic.
(-5x² - 2x + 4) + (8x² - x - 1) + (x + 2)(x - 5)
= (-5x² - 2x + 4) + (8x² - x - 1) + (x² -5x + 2x - 10)
= (-5x² - 2x + 4) + (8x² - x - 1) + (x² - 3x - 10)
= (-5x² + 8x² + x² - 2x - x - 3x + 4 - 1 - 10)
= 4x² - 6x - 7
Therefore:
.The polynomial simplifies to an expression that is a quadratic trinomial of degree 2.
Answer:
Step-by-step explanation:
The formula for determining the area of the square field is expressed as
Area = Length²
Length = 24 meters
Area = 24² = 576 m²
The formula for determining the circular area covered by the sprinkler is expressed as
Circular area = πr²
Where
r represents the radius
π = 3.14
From the information given,
Diameter = 24 meters
Radius = diameter/2 = 24/2 = 12 meters
Area = 3.14 × 12² = 452.16 m²
Therefore, the area of the field not reached by the sprinkler is
576 - 452.16 = 123.84 m²
The distance between two points and can be calculated by the formula
The vertices A and B of the triangle ABC have coordinates (4,5) and (2,1), respectively.
Therefore,
Answer: correct choice is 2