If x and y are negative integers and x – y = 1,
what is the least possible value for xy?
Answers
Least possible value for y(y+1)? Well, it appears for y halfway between the roots (you know what a parabola is, don't you?). That y is -0.5, so let's calculate -0.5*0.5, which is -0.25.
The least possible value is
Well, not really :)) The two values must be both negative, so we can't take one of them to be 0.5! As we lower the values, however, the product grows, reaching 0 when x=0 and y=-1, and further increasing as x and y lower. Thus, we would actually take x=0 and y=-1.
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Which property is illustrated by the following statement? if hxa =rgi, then rgi =hxa
According to the Tristate Transportation Authority, making certain improvements to the main commuter rail line would increase ridership dramatically. The authority plans to finance these improvements over the course of five years by raising automobile tolls on the two high-way bridges along the route the rail line serves. Although the proposed improvements are indeed needed, the authority’s plan for securing the necessary funds should be rejected because it would unfairly force drivers to absorb the entire cost of something from which they receive no benefit.Which of the following, if true, would cast the most doubt on the effectiveness of the authority’s plan to finance the proposed improvements by increasing bridge tolls?(A) Before the authority increases tolls on any of the area bridges, it is required by law to hold public hearings at which objections to the proposed increase can be raised.(B) Whenever bridge tolls are increased, the authority must pay a private contractor to adjust the automated toll-collecting machines.(C) Between the time a proposed toll increase is announced and the time the increase is actually put into effect, many commuters buy more tokens than usual to postpone the effects of the increase.(D) When tolls were last increased on the two bridges in question, almost 20 percent of the regular commuter traffic switched to a slightly longer alternative route that has since been improved.(E) The chairman of the authority is a member of the Tristate Automobile Club that has registered strong opposition to the proposed toll increase.
I need an answer to this "How many tickles does it take to make an octopus laugh
Answers
Using the pythagorean theorem again, we do
a^2+b^2=c^2
(3.2)²+a²=6²
10.24+a²=36
a²=25.76
√a²=√25.76
a=5.07543≈ 5.1
Hope this helps!
Answers
= 8/9 × 2/3
=16/27
area = 16/27 m²
hope i hel[ped
Answers
Answers
| x + 5.3 | = 4.2 / 2
| x + 5.3 | = 2.1
x + 5.3 = 2.1 x + 5.3 = - 2.1
x = 2.1 - 5.3 x = -2.1 - 5.3
x = - 3.2 x = - 7.4
solution is : x = -3.2 or x = -7.4
Answer:
What value or values of x satisfy 2|x + 5.3| = 4.2?
x can only equal –3.2.
x can only equal 7.4.
x can equal –3.2 or –7.4.
x can equal –3.2 or 7.4.
Step-by-step explanation:
x can equal –3.2 or –7.4. Is the correct answer.
B. 285 ft³
C. 4,840 ft³
D. 6,032 ft³
Answers
The volume of the cone is 4840 cubic ft if the diameter of the base is 34 feet and the height is 16 feet option (C) is correct.
What is a cone?
It is defined as a three-dimensional shape in which the base is a circular shape and the diameter of the circle decreases as we move from the circular base to the vertex.
Volume can be defined as a three-dimensional space enclosed by an object or thing.
It is given that:
A pile of tailings from a gold dredge is in the shape of a cone.
The diameter of the base is 34 feet and the height is 16 feet.
As we know,
The volume of the cone is given by:
r = 34/2 = 17 ft
h = 16 feet
Plug the above values in the formula:
After solving:
V = 1541.33π cubic feet
Take π = 3.14
V = 1541.33(3.14) cubic feet
V = 4839.78 ≈ 4840 cubic ft
Thus, the volume of the cone is 4840 cubic ft if the diameter of the base is 34 feet and the height is 16 feet option (C) is correct.
Learn more about the cone here:
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Answer:
C:
Step-by-step explanation:
The formula for the volume of a cone is:
Therefore,
B.) none of these
C.) are the same length
D.) are the not same length
Answers
The best answer is the diagonals of the rectangle are the same length.
Diagonals of Rectangle Properties
The diagonal of rectangle is a line segment drawn between the opposite vertices of the rectangle. The properties of diagonals of a rectangle are as follows:
1. The two diagonals of a rectangle are congruent. In other words, the length of the diagonals is equal.
2. The two diagonals bisect each other and divide the rectangle into two equal parts.
3. The length of the diagonal of rectangle can be obtained using the Pythagoras theorem.
4. When the diagonals bisect each other, the angles of a rectangle at the center become one obtuse angle and the other an acute angle.
5. When two diagonals bisect each other at 90° it is called a square.
6. Since the diagonal of rectangle divide the rectangle into two right-angled triangles, it is considered the hypotenuse of these triangles.
We know the diagonal property of rectangle that
1. The diagonals of the rectangle bisect each other.
2. The diagonals of the rectangle are equal.
The best answer is the diagonals of the rectangle are the same length.
Find out more information about diagonal property of rectangle here
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C.) Are the same length
How you know-
No matter how long the rectangle is the diagonals always will measure the same length. Think about two sides of a square, they have to equal the same length because if they were not the same then the shape wouldn't be a square.