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GenaCL600 [577]
2 years ago
6

(1, 3) and (-3, -5) write a linear equation given the two points

Mathematics
1 answer:
Firlakuza [10]2 years ago
7 0

Answer:

y = 2x + 1

Step-by-step explanation:

1. Find the slope;  (change in y values)/(change in x values)

Slope = (-5 - 3)/ (-3 - 1) = -8/-4 = 2

2. Find the y-intercept (b) using  the slope intercept formula: y = mx + b

    m = 2 and using point (1, 3) , solve for "b"

       y = mx + b

       3 = 2(1) + b

       3 = 2 + b

      1 = b

3.  Write the linear equation: y = 2x + 1

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a bag contains 10 white gold balls and 6 striped golf balls. a golfer wants to add 112 golf balls to the bag. he wants the ratio
wolverine [178]

Answer:70 white golf balls and 42 striped golf balls

Step-by-step explanation:

First we find the ratio of white to striped balls

White golf balls = 10

Striped golf balls = 6

Ratio = 10/6 = 5/3

We are told a golfer wants to add extra 112 balls to the already 16 balls

And the ratio after adding 112 balls must stay the same

First we label the extra golf balls to be added x and y

x = white golf balls

y = striped golf balls

So since we know the 112 balls added is a combination of the extra white golf balls and striped golf balls, we create an equation for that, labelling it (1)

x + y = 112 (1)

And we are told that after putting these extra balls the ratio must remain the same, which is 5/3

which will be (10 white balls + x) divided by (6 striped ball + y) will be equals to 5/3

So we create another equation for this, labelling it (2)

(10+x)/(6+y) = 5/3 (2)

So we have two simultaneous equations

We pick (1)

x + y = 112

We either make x or y the subject of formula, I choose to make x the subject of formula, we label the equation (3)

take y to the other side, causing it to change to -y

x = 112 - y (3)

We then work with (2)

(10+x)/(6+y) = 5/3

We cross multiply

3(10+x) = 5(6+y)

We open the brackets

Making the equation simplified and labelling it (4)

30 +3x = 30 + 5y

Collect like terms

3x -5y = 30-30

3x -5y = 0 (4)

Remember from (3) we know that

x = 112 -y

So we put (3) in (4)

3(112 - y) - 5y = 0

Open bracket

336 -3y -5y =0

336 -8y = 0

Transfer -8y to the other side, changing to +8y

336 = 8y

Divide both sides by 8

336/8 = y

42 = y

y = 42

from (3) we know that x equals 112 - y

So we put y = 42 in (3)

x = 112 - y

x = 112 -42 = 70

x = 70

So therefore number of white golfs balls and striped golfs balls to be added to keep the same ratio is 70 and 42 respectively

4 0
3 years ago
Explain how you know 21/100 is greater than 1/5
Nataly_w [17]

This problem can be solved using equivalent fractions. The first step in resolving this problem is to realize that fractions are best compared when they both have the same denominator.  In this case, I will choose to make that common denominator 100. There is no need to rewrite the fraction \frac{21}{100} as the denominator for this fraction is already 100. The fraction \frac{1}{5} =\frac{20}{100} . This is achieved by multiplying both the numerator and denominator by 20. Now that the two fractions have the same denominator, we can easily see that \frac{21}{100} is greater than \frac{1}{5} because it is greater than its equivalent fraction.

5 0
3 years ago
An earthquake with a rating of 3.3 is not
stiks02 [169]

Answer:

  1995.26

Step-by-step explanation:

It usually works to follow instructions:

  3.3 = log(x) . . . . . substitute known values into the equation

  10^3.3 = x . . . . . take antilogs

  1995.26 = x . . . .  simplify, round to hundredths

5 0
3 years ago
What are examples of nonstatistical question
posledela

Answer:

The type of questions that has only one answer.

Step-by-step explanation:

example:

What time did Katy wake up? Did you eat lunch?

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Jade only need 3 1/4 cans of paint
notsponge [240]
What else do you need help with
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3 years ago
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