Answer:
m = -2
Step-by-step explanation:
24 = -6(m + 1) + 18 (Given)
24 = -6(m) + -6(1) + 18 (Distributive Property of Equality)
24 = -6m - 6 + 18 (Simplify)
24 = -6m + 12 (Simplify)
24 - 12 = -6m + 12 - 12 (Subtraction Property of Equality)
12 = -6m (Simplify)
(Division Property of Equality)
-2 = m (Simplify)
m = -2 (Distributive Property of Equality)
Let's see..
? * ? = 28
Well, we know:
5 * 5 = 25
6 * 6 = 36
It must be closer to 5, yet much smaller than 6.
Answer: The determinant must be zero.
Step-by-step explanation:
For a quadratic equation
a*x^2 + b*x + c = 0
The discriminant is:
D = b^2 - 4*a*c
and the solutions can be finded as:
If D > 0 we have two real solutions
if D = 0 we only have one solution, x = -b/2a
If D < 0 we will have comples solutions, as we will have a negative number inside a square root.
Knowing that for this equation we have only one solution, then we can know that the determinant must be equal to zero.
Answer:y=log1x
Step-by-step explanation:
Answer:Area of the lawn is 1725 ft^2
Step-by-step explanation:
The yard is in the shape of a trapezoid. The area of the lawn can be determined by finding the area of the trapezoid. The formula for determining the area of a trapezoid is expressed as
Area of trapezoid =
1/2(a + b)h
Where
a is the length of one of the parallel sides of the trapezoid
b is the length of the other parallel side of the trapezoid.
h is the perpendicular height of the the trapezoid.
From the diagram,
a = 50 feet
b = 65 feet
h = 30 feet
Area of the lawn = 1/2(50 + 65)× 30
= 1/2 × 115 × 30 = 1725 ft^2