The line segment that connects two nonconsecutive vertices in a polygon is called a

Answers

Answer 1

Answer: A line segment joining two adjacent vertices of a polygon is called an edge.

Answer 2

Answer:
The line segment that connects two nonconsecutive vertices in a polygon is called a Diagonal i guess

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Cual es la mitad de 1.5

a couch sells for $1260. instead of paying the toatl amount at the time of the purchase, the same couch can be brought by paying 400 down and 80 a month for 12 months. how much is saved by paying the total amount at the time of the purchase

Answers

Answer:

$100 can be saved.

Step-by-step explanation:

A couch sells for = $1260

The same couch can be brought by paying 400 down payment and $80 per month for 12 months.

Total amount will be paid = 400 + (80× 12)

= 400 + 960

= $1,360

Difference between the amounts = 1360 - 1260

= $100

You can save $100 by paying the total amount at the time of the purchase.

If you pay $400 down, plus $80 for the next 12 months, that means you're paying (80*12)+400 which is equal to $1360. You're saving $100 by paying the entire total up front.

What is the sum of the polynomials?(8x²-9x²-4x)+(x²-3y²-7x)A. 7x²-6y²+3x
B. 9x²-6y²+3x
C. 9x²-12y²+3x
D. 9x²-12y²-11x

Answers

Answer:

$\sf D. 9x^2-12y^2-11x$

Step-by-step explanation:

$\sf (8x^2-9y^2-4x)+(x^2-3y^2-7x)$

Distribute the negative sign in the first set of parentheses:

$\sf 8x^2 - 9y^2 - 4x + x^2- 3y^2 - 7x$

Combine the terms that are alike:

$\sf 8x^2 +x^2-9y^2-3y^2-4x -7x$

$\sf 9x^2-12y^2-11x$

Therefore, the sum of the polynomials is:

$\sf D. 9x^2-12y^2-11x$

U can begin by simplifying the terms within each set of parentheses first and then combining like terms.

(8x² - 9x² - 4x) + (x² - 3y² - 7x)

= (-x² - 4x) + (x² - 3y² - 7x)

= -x² + x² - 4x - 7x - 3y²

= -11x - 3y²

Therefore, the sum of the polynomials is -11x - 3y², which is option D.

A piece of cloth is folded into a square with a side length measuring x inches. When it is unfolded, it has an area of x2 + 27x + 162 square inches.Which could be the dimensions of the rectangular piece of cloth when it is unfolded? Remember, the area of a rectangle can be determined using the formula A = lw.

length = (x + 9) inches and width = (x + 3) inches
length = (x − 3) inches and width = (x − 9) inches
length = (x + 18) inches and width = (x + 9) inches
length = (x − 9) inches and width = (x − 18) inches

Answers

we have

$x^(2) + 27x + 162$

Using a graph tool------> to resolve the second order equation

the solution is

$x=-18\n x=-9$

$x^(2) + 27x + 162=(x+18)*(x+9)$

therefore

the answer is the option

length = (x + 18) inches and width = (x + 9) inches

Hello,

(x+9)(x+3=x²+21+27 No
(x-3)(x-9)=x²-12x+27 No

(x+18)(x+9)=x²+27x+162 Yes
(x-9)(x-18)=x²-27x+162 No

Answer C

Factor the equation x^2-3x-18

Answers

Answer:

This is a Non-Perfect Square Trinomial. To factor this type of trinomial, you have to remember this pattern:

$(x+b)(x+b)=x^2+(a+b)x+ab$

So you need to find two numbers $a \ and \ b$ such that the product is $ab$ and the middle term is the sum $(a+b)$ . From our polynomial:

$x^2-3x-18$

Those numbers are:

$a=-6 \n \n b=3$

Because:

$ab=(-6)(3)=-18 \n \n a+b=-6+3=-3$

So:

$\boxed{x^2-3x-18=(x-6)(x+3)}$

Graph with a line going through points zero comma two point five and four comma two point five.Select the equation of the line that passes through the point (3, −1) and is perpendicular to the line on the graph.

y = −1
y = 3
x = −1
x = 3
please help :(

Answers

-- The points (0, 2.5) and (4, 2.5) are both 2.5 above the x-axis.

-- The line through them is a horizontal line. Its equation is y = 2.5 .

-- Any line perpendicular to it is a vertical line.

-- The vertical line through the point (3, -1) is the line x = 3 .

Answer:

The answer is D. x = 3

Good luck on your schoolwork!

Which function has the same why intercept as the graph below

Answers

you mean 'y' intercept not 'why' intercept
y intercet means where the line crosses or intersepts the y axis

that also is when x=0
bsically, y intercept point is (0,yintercept)
in this graph , the y intercept is 3 units below the 0 so y intercept is -3 at point (0,-3)
y=mx+b
b=y intercept
we want to find an equation that is
y=mx-3
convert them into that

(1) y=(12-6x)/4
y=-3/2x+3
nope

(2)
27+3y=6x
subtract 27
3y=6x-27
divide 3
y=2x-9
nope

(3)
6y+x=18
subtract x
6y=-2x+18
'divide 6
y=-1/3x+3
nope

(4)
y+3=6x
subtract 3
y=6x-3
correct

answer is number 4

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