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SVEN [57.7K]
2 years ago
15

Write an equation in standard form for the line that passes through the given points.

Mathematics
1 answer:
Agata [3.3K]2 years ago
8 0

So, pretend this is your x-axis and y-axis:

                                   I

        I

   (-2,7) •  I

        I

        I       • (2, 5)

        I

        I

        I  

        I

 _________________I____________________

        I

        I

        I

TO GET FROM POINT (-2, 7) TO POINT (2, 5), WE MOVE DOWN 2 AND OVER 4, SO THE SLOPE IS -1/2. IF WE FOLLOW THAT SLOPE AND MOVE DOWN 1 AND OVER 2 FROM THE FIRST POINT OF  (-2, 7), WE WILL LAND ON A POINT LOCATED AT (0, 6), WHICH WOULD BE THE "Y-INTERCEPT". WE WERE JUST ABLE TO CALCULATE THE SLOPE OF THE LINE AND THEN USE THE SLOPE TO FIND THE INTERCEPT. SO, THE "SLOPE-INTERCEPT" FORM OF THE EQUATION FOR THIS LINE IS:

y = -1/2x + 6

TO RE-WRITE THIS IN STANDARD FORM, WE JUST WANT TO MOVE THE X VARIABLE OVER TO THE LEFT WITH THE Y VARIABLE, SO:

y = -1/2x + 6

+1/2x   + 1/2x

1/2x + y = 6 .... and that is your answer!

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Evaluate the expression when z= -5 <br> 100 divided (-z2)
lilavasa [31]

Answer:the anwser is 4

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
In this PARALLELOGRAM, what is the measure of Angle D?
enot [183]

Answer:

92

Step-by-step explanation:

The parallelogram is divided into two triangles. Remember, angles in a triangle add up to 180 degrees. That being said, take the sum of the numbers given in triangle ABC and subtract it from 180.

60 + 28 = 88

180 - 88 = 92 (this is the measure of angle B)

Angles D and B are congruent, which means they are the same.

Since Angle B is 92 degrees, then D is 92 degrees also.

8 0
3 years ago
1. Solve for w in the equation W/5 = 25<br> A.W = 5<br> B.W = 125<br> C. W = 30<br> D.W = 20
vekshin1

Answer: <em>w = 125</em>

Explanation: Since <em>w</em> is being divided by 5, to solve for <em>w</em>,

multiply both sides of the equation by 5.

On the left side, the 5's will cancel

and on the right side, 25(5) is 125.

So <em>w = 125</em>.

<u />

<u>Please do not do this problem in your head.</u>

Show the work that it takes to get <em>w</em> by itself.

3 0
4 years ago
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
Molodets [167]
f(x)= \frac{x-9}{x+5}
g(x)= \frac{-5x-9}{x-1}
f(g(x))= \frac{ \frac{-5x-9}{x-1} -9}{ \frac{-5x-9}{x-1}+5 }
f(g(x))= \frac{-5x-9-9(x-1)}{-5x-9+5(x-1)}
f(g(x))= \frac{-5x-9-9x+9}{-5x-9+5x-5}
f(g(x))= \frac{-14x}{-14}=x
g(f(x))= \frac{-5 \frac{x-9}{x+5}-9 }{ \frac{x-9}{x+5}-1 }
g(f(x))= \frac{-5x+45-9(x+5)}{x-9-1(x+5)}
g(f(x))= \frac{-5x+45-9x-45}{x-9-x-5}
g(f(x))= \frac{-14x}{-14}=x

                          

 

 

 

 

 

 

 

 






6 0
3 years ago
How does the book of the dead change or improve the ancient egyptians?
KatRina [158]
<span>The Book of the Dead is the common name for the ancient Egyptian funerary texts known as The Book of Coming [or Going] Forth By Day. The name "Book of the Dead" was the invention of the German Egyptologist Karl Richard Lepsius, who published a selection of some texts in 1842.Religion guided every aspect of Egyptian life. Egyptian religion was based on polytheism, or the worship of many deities. The Egyptians had as many as 2000 gods and goddesses each representing characteristics of a specific <span>earthly force, combined with a heavenly power. </span>Often gods and goddesses were represented as part human and part animal.</span>

They considered animals such as the bull, the cat, and the crocodile to be holy. Their two chief gods were Amon-Ra and Osiris. Amon-Ra was believed to be the sun god and the lord of the universe. Osiris was the god of the underworld and was the god that made a peaceful afterlife possible. The Egyptian "Book of the Dead" contains the major ideas and beliefs in the ancient Egyptian religion. Because their religion stressed an afterlife, Egyptians devoted much time and energy into preparing for their journey to the "next world." 

The text was initially carved on the exterior of the deceased person's sarcophagus, but was later written on papyrus now known as scrolls and buried inside the sarcophagus with the deceased, presumably so that it would be both portable and close at hand. Other texts often accompanied the primary texts including the hypocephalus (meaning 'under the head') which was a primer version of the full text.

Books of the Dead constituted as a collection of spells, charms, passwords, numbers and magical formulas for the use of the deceased in the afterlife. This described many of the basic tenets of Egyptian mythology. They were intended to guide the dead through the various trials that they would encounter before reaching the underworld. Knowledge of the appropriate spells was considered essential to achieving happiness after death. Spells or enchantments vary in distinctive ways between the texts of differing "mummies" or sarcophagi, depending on the prominence and other class factors of the deceased.

Books of the Dead were usually illustrated with pictures showing the tests to which the deceased would be subjected. The most important was the weighing of the heart of the dead person against Ma'at, or Truth (carried out by Anubis). The heart of the dead was weighed against a feather, and if the heart was not weighed down with sin (if it was lighter than the feather) he was allowed to go on. The god Thoth would record the results and the monster Ammit would wait nearby to eat the heart should it prove unworthy.

The earliest known versions date from the 16th century BC during the 18th Dynasty (ca. 1580 BC–1350 BC). It partly incorporated two previous collections of Egyptian religious literature, known as the Coffin Texts (ca. 2000 BC) and the Pyramid Texts (ca. 2600 BC-2300 BC), both of which were eventually superseded by the Book of the Dead.

The text was often individualized for the deceased person - so no two copies contain the same text - however, "book" versions are generally categorized into four main divisions – the Heliopolitan version, which was edited by the priests of the college of Annu (used from the 5th to the 11th dynasty and on walls of tombs until about 200); the Theban version, which contained hieroglyphics only (20th to the 28th dynasty); a hieroglyphic and hieratic character version, closely related to the Theban version, which had no fixed order of chapters (used mainly in the 20th dynasty); and the Saite version which has strict order (used after the 26th dynasty).

It is notable, that the Book of the Dead for Scribe Ani, the Papyrus of Ani, was originally 78 Ft, and was separated into 37 sheets at appropriate chapter and topical divisions

4 0
3 years ago
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