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WARRIOR [948]
2 years ago
5

Which equation represents the line that passes through the points (2,7) and (1,5)

Mathematics
1 answer:
Dimas [21]2 years ago
5 0

Answer:

First we get the slope of line with points (2,3) & (1,5):

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

m=%285-3%29%2F%281-2%29=2%2F%28-1%29

m=-2, slope

Knowing the slop, we can get the intercept in point (1,1):

y=mx%2Bb, SLOPE- INTERCEPT

1=-2%281%29%2Bb

b=1%2B2=3

so, the eqn of the line: highlight%28y=-2x%2B3%29

The line with points (2,3) & (1,5): same slope because parallel, we'll check

 

VIA POINT SLOPE FORM:

m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29

m=%285-3%29%2F%281-2%29=2%2F-1 ----> m=-2, same right?

For the intercept thru pints (2,3):

Via SLOPE INTERCEPT FORM, we pick points (2,3)

3=-2%282%29%2Bb

b=3%2B4=7 ----> y intercept. The same value if you pick points (1,5).

Eqn of line: y=-2x%2B7 (Green line) parallel to y=-2x%2B3 (Red line)

See the graph,

--- see red line, it passes at point (1,1). Also green line passes points (2,3) & (1,5)

Step-by-step explanation:

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The length of a rectangle is 1 inch less than twice the width. the area is 21 inches^2 what is the length?
ale4655 [162]
Hi.

Formula for area: A = 2l + 2w, where l is the length and w is the width.

Given information:
• l = 2w - 1
• A = 21 in^2

We can plug in our values accordingly and solve for w.

A = 2l + 2w
21 = 2(2w - 1) + 2w
21 = 4w - 2 + 2w
23 = 6w - 2
23 = 6w
3.83 = w

Plug 3.83 for w into 2w - 1 to find length.

2(3.83) - 1
7.66 - 1
6.66

Finally, check your work by plugging your values into the original equation.

21 = 2(6.66) + 2(3.83)
21 = 13.32 + 7.66
21 = 20.98

Answer:
The length is approximately 6.66 inches.
4 0
3 years ago
<img src="https://tex.z-dn.net/?f=180%20%5Cdiv%20460%20%3D%20simplified%20%5C%3A%20fraction" id="TexFormula1" title="180 \div 46
Anuta_ua [19.1K]

first you would put the expression in a fraction for

180/460

you already know that the both numbers are divisible by 2

  • so the answer would be 90/230 but we are still no done because these values are divisible by three

the rule to prove that the number is divisible by three is when you add the digits of the number for example 333. 3+3+3=9 and nine is divisible by nine

THE ANSWER IS:::::::: 90/230


5 0
2 years ago
Need help the sum of two numbers is 12. One number is prime and the other number is composite. What are the numbers
morpeh [17]
There are a couple of answers, it could be 2+10 or 3+9
5 0
3 years ago
Pls!! I’m stuck on this question
Elena L [17]

Answer: 4x4=16, 6x6x6x6=1296, 1296+16=1312

the answer is 1312

Step-by-step explanation: find the area. 4x4, 6x6x6x6, the 3 is only there to throw you off you dont do anything with the 3

i think thats right

4 0
3 years ago
PLEASE HELP! Which statement is true?
Gekata [30.6K]
2nd one is correct answer
7 0
2 years ago
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