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Umnica [9.8K]
3 years ago
15

What equation has x = -6 as the solution?

Mathematics
1 answer:
Readme [11.4K]3 years ago
8 0

Answer:

The last option is the correct answer

Step-by-step explanation:

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You are graphing Square ABCDABCDA, B, C, D in the coordinate plane. The following are three of the vertices of the square: A(4,
Vsevolod [243]

Answer:

D(4,-3)

Step-by-step explanation:

Given three of the vertices of the square: A(4, -7), B(8, -7),C(8, -3)

Let the coordinate of the fourth vertex be D(x,y).

We know that diagonals of a square are perpendicular bisector. So, the midpoint of both diagonals is the same.

The diagonals are BD and AC

Midpoint of BD = Midpoint of AC

\left(\dfrac{8+x}{2},\dfrac{-7+y}{2}\right) =\left(\dfrac{4+8}{2},\dfrac{-7+(-3)}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(\dfrac{12}{2},\dfrac{-10}{2}\right)\\ \left(\dfrac{8+x}{2},\dfrac{y-7}{2}\right) =\left(6,-5\right)\\$Therefore$:\\\dfrac{8+x}{2}=6\\8+x=12\\x=12-8\\x=4\\$Similarly$\\\dfrac{y-7}{2}=-5\\y-7=-5*2\\y-7=-10\\y=-10+7=-3

The coordinates of the fourth vertex is D(4,-3)

8 0
3 years ago
What is the shortest board a man must buy in order to cut 3 sections from it, each 4 feet 8 inches long?
kakasveta [241]

Convert the mixed number to inches. 3 feet 8 inches = 44 inches (12 inches per foot x 3 feet= 36 inches + 8 inches= 44 inches). 44 inches (length each section needs to be) x 4 (number of sections needed)=176 inches (total molding needed). To determine the amount of molding needed in feet, convert 176 inches into feet by dividing 176 inches by 12 inches. You get 14 2/3 feet, so the shortest board length is 15 feet.

7 0
3 years ago
6. Which of the following fractions is equivalent to
hichkok12 [17]

Answer:

D

Step-by-step explanation:

5 0
3 years ago
When adding two numbers, such as 123 and 423, care is taken to first line them up and then add like digits. How does expanding t
Ivanshal [37]
Since a polynomial is where we have like terms such as (1 x 10²) and (4 x 10²), we can add these up using the distributive property to get (5 x 10²) but still keep the 10². For example, it's similar to if we had 2x²+3x²=5x². The x² is still there, but we add up the 2 and 3. Similarly, we can add these up for 10^1 and 10^0
4 0
3 years ago
True or false if you divide a number by two it's always even
Gnesinka [82]
False, ex: 18/2 = 9
false, ex: 18/2 = 9
8 0
3 years ago
Read 2 more answers
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