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sergejj [24]
3 years ago
14

Help or sus lots of points ​

Mathematics
1 answer:
zimovet [89]3 years ago
3 0

answer is steeper

Step-by-step explanation:

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A line passes through the points (-1, -1)
Allisa [31]

Given:

A line passes through the points (-1, -1) and (5,8).

To find:

Which points lie on the same line?

Solution:

If a line passes through two points, then the equation of the line is:

y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)

A line passes through the points (-1, -1) and (5,8). So, the equation of the line is:

y-(-1)=\dfrac{8-(-1)}{5-(-1)}(x-(-1))

y+1=\dfrac{8+1}{5+1}(x+1)

y+1=\dfrac{9}{6}(x+1)

y+1=\dfrac{3}{2}(x+1)

Multiply both sides by 2.

2(y+1)=3(x+1)

2y+2=3x+3

2y=3x+3-2

y=\dfrac{3}{2}x+\dfrac{1}{2}

So, the equation of the line is y=\dfrac{3}{2}x+\dfrac{1}{2}.

Now, check each point for this equation.

Putting x=-3, we get

y=\dfrac{3}{2}(-3)+\dfrac{1}{2}

y=\dfrac{-9+1}{2}

y=\dfrac{-8}{2}

y=-4

Similarly,

For x=9,y=15.

For x=1,y=2.

For x=4,y=6.5.

For x=3,y=5.

For x=-2,y=-2.5.

Therefore, the points (-3,-4), (9,14), (1,2) and (3,5) lie on the same line but the points (4,7) and (-2,-2) are not on that line.

6 0
3 years ago
Ryan has a 28 foot board. He needs to cut it into 24 equal length parts. How long should each section of the board be?
den301095 [7]

Answer:

1.17 feet

Step-by-step explanation:

28 ÷ 24 = 1.16666666667

round that and you get 1.17

4 0
3 years ago
Read 2 more answers
PLEASE HELPP PRE CAL<br><br> What is the greatest common factor of 8m^2, 4m, and 10m^4
luda_lava [24]

Answer:

2m

Step-by-step explanation:

For m, I look for the greatest power of m that is in all of the expressions. Since the first has m^2, the second has m, and the third has m^4, the greatest power of m that is in all expressions is m.

For the number, I look for the greatest factor of 8, 4, and 10. A trick would be to look at the smallest number since the greatest common factor can only be less than or equal to the smallest number. So looking at 4, the factors are 1,2,4. 4 is not a common factor since it does not divide into 10, but 2 is so 2 is the greatest common numerical factor.

Combine 2 and m to get 2m.

4 0
4 years ago
Read 2 more answers
13. A contractor buys 8.2 square feet of sheet metal.
Veseljchak [2.6K]

Answer:

x = \frac{183}{6.7}  is the required equation.

The  Per sq ft of sheet costs $ 27.31.

Step-by-step explanation:

The total amount of sheet purchased =  8.8 sq. ft

The amount of sheet used = 2. 1 sq ft.

The worth of remaining sheet = $183

Let us assume the  cost per sq ft of sheet = $x

Now, the remaining sheet =

Amount of total sheet purchased- Amount of sheet used

= 8.8 sq. ft - 2. 1 sq ft. = 6. 7 sq. ft

So, the worth of the remaining sheet 6.7 sq ft is $183.

⇒ Worth of 1 sq ft of sheet = $183 /6.7 sq ft

or, x = \frac{183}{6.7}  = 27.31

or  x = $27.31

Hence, the  Per sq ft of sheet costs $ 27.31.

6 0
3 years ago
What triangle has no congruent sides but 1 right angle
iragen [17]

Answer:

scalene triangle

Step-by-step explanation:

4 0
3 years ago
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