Which point is collinear with points B and C?

svetlana [45]

First and foremost that is a quadrilateral, because it is a 4-sided figure. If it was a trapezoid it would have only 1 set of parallel lines. So NOT a trapezoid. It is a parallelogram because parallelograms have 2 pair of parallel lines. It is not a rhombus because a rhombus has 4 equal length sides. So it's not a square either. It is not a rectangle either because rectangles have 4 right angles and this one does not. So your choices are 1 and 3.

8 0

3 years ago

Please help me with these questions , thank you

Angelina_Jolie [31]

Answer:

1. 4 $x^{3}$ + 26x² + 4x - 48

2. 2 $x^{3}$ - 23x² + 60x - 32

3. $x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

4. 2 $x^{7}$ + $x^{6}$ - 28 $x^{5}$ + 3x + 12

Step-by-step explanation:

To multiply polynomials, simply distribute whatever's outside the largest set of parenthesis, then combine like terms.

1) Distribute the parenthesis (x + 6):

x(4x² + 2x - 8) + 6(4x² + 2x - 8)

4 $x^{3}$ + 2x² -8x + 6(4x² + 2x -8)

4 $x^{3}$ + 2x² -8x + 24x² + 12x - 48

Combine like terms:

4 $x^{3}$ + 26x² + 4x - 48

2) Distribute the parenthesis (x - 8):

x(2x² - 7x + 4) + (-8)(2x² - 7x + 4)

2 $x^{3}$ - 7x² + 4x + (-8)(2x² - 7x + 4)

2 $x^{3}$ - 7x² + 4x + -16x² + 56x - 32

Combine like terms:

2 $x^{3}$ - 23x² + 60x - 32

3) Distribute the parenthesis (x + 2):

x( $x^{4}$ + 7x² - 4) + 2( $x^{4}$ + 7x² - 4)

$x^{5}$ + 7 $x^{3}$ - 4x + 2( $x^{4}$ + 7x² - 4)

$x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

No like terms to combine, so:

$x^{5}$ + 7 $x^{3}$ - 4x + 2 $x^{4}$ + 14x² - 8

4) Distribute the parenthesis (x + 4):

x(2 $x^{6}$ - 7 $x^{5}$ + 3) + 4(2 $x^{6}$ - 7 $x^{5}$ + 3)

2 $x^{7}$ - 7 $x^{6}$ + 3x + 4(2 $x^{6}$ - 7 $x^{5}$ + 3)

2 $x^{7}$ - 7 $x^{6}$ + 3x + 8 $x^{6}$ - 28 $x^{5}$ + 12

Combine like terms:

2 $x^{7}$ + $x^{6}$ - 28 $x^{5}$ + 3x + 12

hope this helps!

8 0

3 years ago

the formula for the area of a triangle is 1/2bh, find the area of a right triangle with a hypotenuse length of 13 in and one len

adoni [48]

Answer:

30

Step-by-step explanation:

4 0

3 years ago

Which graph best represents the solution to 1/2x - 2 = 3

inysia [295]

Answer:

The one showing only the point (10, 3)

Or the linear plot with the point +10 highlighted.

Step-by-step explanation:

4 0

3 years ago

A circle has center O(5, −1) and radius 5. Which of the following points is on the circle?

Xelga [282]

Answer:

The correct answer is the first one listed.

Step-by-step explanation:

First you have to determine what the equation for that circle is. The standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$ where h and k are the coordinates of the center and the radius is squared. Using the given info, our equation will look like this:

$(x-5)^2+(y+1)^2=25$

Now we use the coordinates given and plug in 2 for x and 3 for y and do the math and see if the 2 sides are equal.

$(2-5)^2+(3+1)^2=25$

and 9 + 16 = 25, right? So that's how you can check the other coordinate pairs to verify that they DON'T work out!

7 0

4 years ago