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2 years ago

Write an equation of the line below.

Mathematics

1 answer:

Triss [41]2 years ago

5 0

Answer:

y=2x-2

Step-by-step explanation:

slope = rise/run which is going up 8 and over 4

slope = 8/4 = 2

y intercept is -2

formula of a line y=mx+b

m is the slope

b is the y intercept

in this case it would be

y=2x-2

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Prove that the two circles shown below are similar.

aniked [119]

Answer:

Step-by-step explanation:

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2 years ago

Velocity is both speed and ___

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3 years ago

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The length of a picture frame is 2 inches more than the width. The perimeter of the frame is 36 inches. What is the length of th

ollegr [7]

Answer in one complete sentence:
____________________________________________
   "The length of the frame is ten (10) inches."
_____________________________________________
Explanation:
_____________________________________________
Perimeter = P = 36 in.
Length = L = 2 +2
Width = w .
_____________________________________________
These are the two equations for the system of equations:

P = 2L + 2w = 36 in.
L = 2 + w
_____________________________________________
Solve for "L" (length) of the frame.
______________________________________
In the equation:
______________________________________
P = 2L + 2w = 36.

{Note: standard knowledge; and/or look up:
______________________________________
Formula for the Perimeter of a rectangle: P = 2L + 2w} ;
_______________________________________
We are given: P = 36 in.

Rewrite, substituting "2+w" for "L" ;

P = 2(2+w) + 2w = 36 ;
___________________________
Note: 2(2+w) = 2*2 + 2w = 4 + 2w .

Now, Rewrite the equation, substituting "(4 + 2w) for "2(2+w)" ;
__________________________________________________
P = (4 + 2w) + 2w = 36 ;

P = 4 + 2w + 2w = 36 ;

Combine the "like terms" ;
____________________________________________
+ 2w + 2w = 4w ;
____________________________________________
   P = 4 + 4w = 36 ;
____________________________________________
↔   4 + 4w = 36 ;
____________________________________________
Subtract "4" from EACH SIDE of the equation:
____________________________________________
→ 4 + 4w − 4 = 36 − 4 ;
____________________________________________
to get:
____________________________________________
            →  4w  = 32 ;
____________________________________________
            → Divide EACH SIDE of the equation by "4" ; to isolate "w" on one side of the equation; and to solve for "w" ;
____________________________________________
            → 4w / 4 = 32 / 4 ;

               → w = 8 .
____________________________________________
Now, to solve for: "L" (the length).
____________________________________________
    Length: L = 2 + w ;

                 → L = 2 + 8 = 10 inches.
____________________________________________
Answer in one complete sentence:
____________________________________________
   "The length of the frame is ten (10) inches."
____________________________________________

7 0

3 years ago

Find the point of intersection<br> y=-3x-3<br> y=-3

Alla [95]

The answer would be -3

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3 years ago

Camryn practices the trumpet every 11^\text{th}11

Snowcat [4.5K]

Answer:

in 33 days

Step-by-step explanation:

Trumpet practice is every 11 days. Flute practice is every 3 days.

You need the Least Common Multiple (the LCM) of the two numbers, 3 and 11.

Since 3 and 11 are prime, the LCM of 3 and 11 is their product.

LCM = 3 * 11 = 33

Answer: in 33 days

You can also solve this by listing multiples of 3 and 11 until you find the smallest number that is a multiple of both 3 and 11.

Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, ...

Multiples of 11: 11, 22, 33, 44, ...

The smallest multiple of both 3 and 11 is the smallest number that shows in both lists. It is 33.

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3 years ago

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