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prisoha [69]
3 years ago
14

Write the equation of the line that passes through (1, 3) and has a slope of 2 in point-slope form. (2 points) y − 1 = 2(x − 3)

y − 3 = 2(x − 1) x − 1 = 2(y − 3) x − 3 = 2(y − 1).
Mathematics
1 answer:
NARA [144]3 years ago
8 0

Answer:

  y − 3 = 2(x − 1)

Step-by-step explanation:

The point-slope form of the equation of a line with slope m through point (h, k) is ...

  y -k = m(x -h)

You have m=2, h=1, k=3, so the equation is ...

  y -3 = 2(x -1)

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About how many grams of a 500 g sample of technetium-99 is left after 2 days
kogti [31]

Answer:

Step-by-step explanation:

1.95 g

7 0
3 years ago
Using trial and improvement, find the solution between 5 and 6 for the following equation:
STALIN [3.7K]

Answer:

2

Step-by-step explanation:

that is √ 14 which is 27 ×>44.2177

4 0
2 years ago
three bags of sweets weigh 27/4 kg. two of them have the same weight and the third bag is heavier than each of the bags of equal
Nana76 [90]

I'm here buddy,

so, let's take the value of the two bags with equal weight as x.

=     x + x + (x + \frac{6}{5}) = \frac{27}{4}

=     3x + \frac{6}{5} = \frac{27}{4}

=     3x = \frac{27}{4} - \frac{6}{5}

( let's take the LCM of 4 and 5 = 20

=     3x = \frac{135}{20} - \frac{24}{20}

=     3x = \frac{111}{20}

=       x = \frac{111}{20} ÷ \frac{3}{1} = \frac{111}{20} × \frac{1}{3} = \frac{37}{20}

So, the weight of the equal bags are \frac{37}{20} and the weight of the third bag ( heavy one ) is \frac{37}{20} + \frac{6}{5} = \frac{37}{20} + \frac{24}{20} = \frac{61}{20}

1st bag =     \frac{37}{20} kg

2nd bag =  \frac{37}{20} kg

3rd bag =   \frac{61}{20} kg

Hope it helps...

7 0
3 years ago
Alla and balla together drink 750ML of water. Of alla drinks 50% more than balla how much does Alla drink
Akimi4 [234]

Answer:

450 ml.

Step-by-step explanation:

Let x be the amount of water drank by Alla and y be the amount of water drank by Balla.

We have been given that Alla and Balla together drink 750 ML of water. We can represent this information as:

x+y=750...(1)  

We are also told that Alla drinks 50% more than Balla. We can represent this information as:

x=1.5y...(2)

From equation (1) we will get,

y=750-x  

Upon substituting this value in equation (2) we will get,

x=1.5(750-x)

Upon distributing 1.5 to right hand side of the equation we will get,

x=1125-1.5x

Upon adding 1.5x to both sides of equation we will get,

x+1.5x=1125-1.5x+1.5x

2.5x=1125

Let us divide both sides of our equation by 2.5.

\frac{2.5x}{2.5}=\frac{1125}{2.5}

x=450

Therefore, Alla drank 450 ml of water.

8 0
3 years ago
Tickets prices for a science museum are $18 for adults and $12 for students. If $162 is collected from a group of 12 people, how
riadik2000 [5.3K]
X=number of adults, y= number of students

x+y=12
18x+12y=162

You can simplify the second equation by dividing by six: 3x+2y=27
Rearrange the first equation: y= 12-x. Plug y into the simplified second equation:

3x+2(12-x)=27
3x-2x+24=27
x=3.

Plug the now known x value into y=12-x. So y= 9.
Therefore, there are 3 adults and 9 students.

6 0
3 years ago
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