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Talja [164]
2 years ago
6

How many lines can be drawn through points J and K?

Mathematics
1 answer:
maria [59]2 years ago
8 0

Answer:

<h2><u><em>1</em></u></h2>

Step-by-step explanation:

"Through any given two points X and Y, only one and only one  line can be drawn "

<u><em>so 1</em></u>

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Match the phenomenal expression on the left with the simplified version on the right
nalin [4]

Given the polynomial expression:

(y + 5)²

(y - 5)(y + 5)

Let's simplify each of the given expression:

a.) (y + 5)²

The given equation is a factor of a perfect square trinomial. For this type of expression, the following is the formula for expanding it.

\text{ (a+b)}^2\text{ = }a^2\text{ + 2ab + }b^2

We get,

\mleft(y+5\mright)^2=(y)^2+2(y)(5)+(5)^2(y+5)^2=y^2+10y+25

b.) (y - 5)(y + 5)

To be able to simplify the following expression. We will be using the formula for the difference of two squares.

(a+b)(a-b)=a^2-b^2

We get,

\mleft(y-5\mright)\mleft(y+5\mright)=(y)^2-(5)^2(y-5)(y+5)=y^2-25^{}

8 0
1 year ago
Suppose y varies directly with x where y=21 when x=7 find y when x = 15
Romashka [77]
Golfkrieg ist die ganze Woche im Auto oder ist das 56357
3 0
2 years ago
Kathi and Robert Hawn had a pottery stand at the annual Skippack Craft Fair. They sold some of their pottery at the original pri
grigory [225]

Answer:27 pieces were sold at the original price.

63 pieces were sold at the new price

Step-by-step explanation:

Let x represent the number of pieces of pottery that was sold at the original price.

Let y represent the number of pieces of pottery that was sold at the new price.

They sold some of their pottery at the original price of​ $9.50 for each​ piece. This means that the amount that they got from selling x pieces of pottery at the original price would be 9.5x

They later decreased the price of each piece by​ $2. This means that the new price was 9.5 - 2 = $7.5

This means that the amount that they got from selling x pieces of pottery at the new price would be 7.5y

If they sold all 90 pieces and took in ​$729​, then the equations are

x + y = 90

9.5x + 7.5y = 729 - - - - - - - - - -1

Substituting x = 90 - y into equation 1, it becomes

9.5(90 - y) + 7.5y = 729

855 - 9.5y + 7.5y = 729

- 9.5y + 7.5y = 729 - 855

- 2y = - 126

y = - 126/- 2 = 63

Substituting y = 63 into x = 90 - y, it becomes

x = 90 - 63 = 27

6 0
3 years ago
9. A rectangular shoebox is 14 inches long by 8 inches wide by 6 inches tall.
andreyandreev [35.5K]

Answer:

J 672 cubic inches

Step-by-step explanation:

The volume of a rectangular prism is

V = l*w*h

V = 14 inches * 8 inches * 6 inches

V =672 inches^3

3 0
3 years ago
How do i answer this question ?
steposvetlana [31]

Answer:

v^3 (v-cubed)

Step-by-step explanation:

1. Cross multiply/cross out all common denominators

2. Then simplify and multiply

6 0
3 years ago
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