Factor completely :x^3-8y^3

Consider the three points graphed. What is the value of y in the fourth point that will complete the quadrilateral as a rhombus?

LUCKY_DIMON [66]

COORDINATE GEOMETRY (A) Main Concepts and Results
Cartesian system Coordinate axes Origin
Quadrants
Abscissa
Ordinate
Coordinates of a point Ordered pair
Plotting of points in the cartesian plane:
• In the Cartesian plane, the horizontal line is called the x-axis and the vertical line
is called the y-axis,
• The coordinate axes divide the plane into four parts called quadrants,
• The point of intersection of the axes is called the origin,
• Abscissa or the x-coordinate of a point is its distance from the y-axis and the ordinate or the y-coordinate is its distance from the x-axis,
• (x, y) are called the coordinates of the point whose abscissa is x and the ordinate is y,
• Coordinates of a point on the x-axis are of the form (x, 0) and that of the point on the y-axis is of the form (0, y),
CHAPTER 3
16/04/18
COORDINATE GEOMETRY 25
• The coordinates of the origin are (0, 0),
• Signs of the coordinates of a point in the first quadrant are (+, +), in the second quadrant (–, +), in the third quadrant (–, –) and in the fourth quadrant (+, –).
(B) Multiple Choice Questions
Write the correct answer :
Sample Question 1: The points (other than origin) for which abscissa is equal to the ordinate will lie in
(A) I quadrant only (B) I and II quadrants
(C) I and III quadrants (D) II and IV quadrants Solution : Answer (C)
EXERCISE 3.1
Write the correct answer in each of the following : 1. Point (–3, 5) lies in the
(A) first quadrant (B) second quadrant

8 0

3 years ago

Read 2 more answers

Elena randomly chooses a number from 1 to 10. What is the probability she chooses a number greater than 5?

zepelin [54]

ANSWER

$P(E)=\frac{1}{2}$

EXPLANATION

From the given information, Elena chooses a number from 1 to 10.

The sample space is

S={1,2,3,4,5,6,7,8,9,10}

n(S)=10

The numbers greater than 5 are:

E={6,7,8,9,10}

n(E)=5

The probability that, she chooses a number greater than 5 is:

$P(E) = \frac{n(E)}{n(S)}$

Substitute the values,

$P(E) = \frac{5}{10}$

$P(E) = \frac{1}{2}$

5 0

3 years ago

Ment in

ASHA 777 [7]

Answer:

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I summarized the court's argument.

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Which of the following did you include in your

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I summarized the court's argument.

I identified the premises and conclusion.

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arlier ruling

Which of the following did you include in your

answer? Check all of the boxes that apply.

I summarized the court's argument.

I identified the premises and conclusion.

I analyzed the premises supporting the

decision.

I evaluated the arguments supporting the

decision.

I included background knowledge.

I recognized that the Constitution takes on

different meanings as societal values

changement in

jate its

Fledge to

arlier ruling

Which of the following did you include in your

answer? Check all of the boxes that apply.

I summarized the court's argment in

jate its

Fledge to

arlier ruling

Which of the following did you include in your

answer? Check all of the boxes that apply.

I summarized the court's argument.

I identified the premises and conclusion.

I analyzed the premises supporting the

decision.

I evaluated the arguments supporting the

decision.

I included background knowledge.

I recognized that the Constitution takes on

different meanings as societal values

changeument.

I identified the premises and conclusion.

I analyzed the premises supporting the

decision.

I evaluated the arguments supporting the

decision.

I included background knowledge.

I recognized that the Constitution takes on

different meanings as societal values

changethe premises supporting the

decision.

I evaluated the arguments supporting the

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I included background knowledge.

I recognized that the Constitution takes on

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Step-by-step explanation:

6 0

3 years ago

Eugene borrows $250 at a 4% annual interest rate. If he does not make any payments, how much simple interest will he owe in 18 m

Wewaii [24]

Answer:

$265

Step-by-step explanation:

We can use the simple interest formula for this:

$A = P (1 + rt)$

P = initial balance

r = annual interest rate

t = time

First, change 4% into its decimal form:

4% -> $\frac{4}{100}$ -> 0.04

Next, we need to change the annual interest rate to 1.5 since 18 months is 1.5 years. Now plug in the values:

$A=250(1+(0.04)(1.5))$

$A=265$

Eugene owes $265 of interest.

8 0

3 years ago

If The Area Of Triangle MNO Is 24cm2 Find The Area Of Triangle PNO

drek231 [11]

Answer:

24 cm^2

Step-by-step explanation:

The three sides are equal (SSS: side, side, side) so the triangles are congruent.

8 0

2 years ago