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vivado [14]
3 years ago
12

Which equation represents the line that passes through (–6, 7) and (–3, 6)?

Mathematics
1 answer:
Softa [21]3 years ago
5 0

Answer:

The equation that represents the line that passes through (-6,7) and (-3,6) is: y = -1/3x + 5

Step-by-step explanation:

The equation of line for point=slope form is

y-y₁ = m(x-x₁)

Finding Slope m:

m= y₂-y₁/x₂-x₁

here y₂= 6,y₁= 7,x₂= -3,x₁= -6

m = 6-7/-3-(-6)

m = -1/-3+6

m = -1/3

The slope m = -1/3 and considering point (-6,7) the equation is:

y-y₁ = m(x-x₁)

y-7 = (-1/3)(x-(-6))

y-7 = -1/3(x+6)

y-7 = -1/3x -2

y = -1/3x-2+7

y = -1/3x + 5

So, the equation that represents the line that passes through (-6,7) and (-3,6) is: y = -1/3x + 5

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What is the length of ab
Marina86 [1]

Answer:

a,2

Step-by-step explanation:

3×=4×-2

if ×=2

3(2)=4(2)-2

6=8-2

6=6

this is the answer I hope it will help you

8 0
3 years ago
I need help with 13 on both pictures. The first picture is the answer and the second picture is the question not getting the ans
natita [175]

Problem 13

If we want to multiply (x^3-3x^2+2x) with (x^3-2x^2+x), then we can set up a diagram shown below. The terms are along the outside. The stuff inside is the result of multiplying each pair of outer terms.

  • Example: x^3 times x^3 = x^6 in the top left corner
  • Another example: 2x times x = 2x^2 in the bottom right corner.

This is known as the box method to keep track of all the terms multiplied.

Once the table is filled out, we add up each term inside the boxes. Combine like terms if possible. Notice that I color-coded the like terms (eg: the x^3 terms are in green boxes).

The final answer is x^6 - 5x^5 + 9x^4 - 7x^3 + 2x^2

6 0
2 years ago
2. 8.SP.1.2
andrew11 [14]

Answer:

A

Step-by-step explanation:

A. because the line of best fit has to be at best fit between the points so is a good approximation of where all the points are heading when you try to predict something.

8 0
3 years ago
A 2 -gallon container of window costs 31.36. what is the price per cup
irinina [24]

Answer:

0.98 $/cup

Step-by-step explanation:

The final answer asks for price/cup, as "per" means "divided by".

So, our final units will be in $/cup.

We are given that for every 2 gallons, it will cost $31.36.

In order to get from gallons to cups, we need to convert units.

In 1 gallon, there are 16 cups.

So, our conversion factor will be 16 cups/1 gallon.

\frac{31.36}{2} *\frac{1}{16} \\\\= 0.98$/cup

Important things to note:

- With these types of problems, it makes it much easier if you just figure out what units you need in the final answer, and then use conversions and dimensional analysis to get the answer

8 0
2 years ago
Add and simplify
Tanya [424]

Answer:

Your 1st answer is correct

Step-by-step explanation:

\frac{1}{(x - 1)}  -  \frac{3}{(1 - x)}   + 2

\frac{1}{(x - 1)}  -  \frac{3}{ - (x - 1)}  + 2

\frac{1}{(x - 1)}   +  \frac{3}{(x - 1)}  + 2

\frac{4}{(x - 1)}  + 2

\frac{4 + 2(x - 1)}{x - 1}

\frac{4 + 2x - 2}{x - 1}

= \frac{2x  + 2}{x - 1}

=  \frac{2(x + 1)}{x - 1}

6 0
2 years ago
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