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olga_2 [115]
3 years ago
5

Find the slope of the line passing through the points (-3,4) and (2,-1)

Mathematics
2 answers:
Licemer1 [7]3 years ago
5 0
Slope formula: \frac{y_2 - y_1}{x_2 - x_1}

First, you would need to plug the coordinates into the formula for slope. 
\frac{-1 - 4}{2 - (-3)}

Now, all you have to do is solve and simplify it.
\frac{-1 - 4}{2 - (-3)} = \frac{-5}{5} = -1

The slope of the line is -1. 

I hope this helps!
astra-53 [7]3 years ago
4 0
Hello! The formula for finding slope is y2- y1 / x2- x1. That means subtract the first y-coordinate from the second y-coordinate and the first x-coordinate from the second x-coordinate. Plug in the values to have it like this: -1 - 4 / 2 - (-3). When you subtract the numbers, you get -5/5 or just simply -1. The slope of the line is -1.
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Match the real-world problem to its constant of proportionality.
irakobra [83]

Answer:

a. $18.36 for 3 pizzas  :  k  = 6.12

b. $4.17 for 3 pounds of bananas .   k  = 1.39

c. $16.48 for 4 pounds of potatoes .  k  = 4.12

d. 2 cups of flour to make 24 cookie .  k  = 12

Step-by-step explanation:

PROPORTIONALITY:

Two quantities x and y are said to proportional to each other

if for x ∝ y , x = y k.

Here, k is called the PROPORTIONALITY CONSTANT.

⇒x \propto y \implies k = \frac{x}{y}  

Now, for the given quantities:

a.  $18.36 for 3 pizzas [box]    

Here, k = \frac{x}{y} = \frac{18.36}{3}  = 6.12

So, the proportionality constant is 6.12.

b. $4.17 for 3 pounds of bananas [box]

Here, k = \frac{x}{y} = \frac{4.17}{3}  = 1.39

So, the proportionality constant is 1.39.

c. $16.48 for 4 pounds of potatoes [box]

Here, k = \frac{x}{y} = \frac{16.48}{4}  = 4.12

So, the proportionality constant is 4.12.

d. 2 cups of flour to make 24 cookies

Here,  k = \frac{x}{y} = \frac{24}{2}  = 12

So, the proportionality constant is 12.

7 0
3 years ago
Find two consecutive numbers whose product is 210.
Rus_ich [418]
The two numbers are 14 and 15.
4 0
3 years ago
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Twenty eight slips of paper are numbered 1 through 28 and are distributed among a group of people. A random number generator is
Inessa05 [86]

Answer:

Option C is the correct answer.

Step-by-step explanation:

Since a random number generator is used to select a single number between 1 and 28, inclusively;

For a fair decision to be made during the process, the number of persons in the set must be a divisor of 28.

Let's list the divisors of 28:

The divisors of 28 are {1, 2, 4, 7, 14, 28}

The only option that contains one of the divisors is option C which is 7.

5 0
3 years ago
Can someone answer 2,3,4
DENIUS [597]
2: 335 cause you have to do 80b+5s= 80(4)= 320
5(3)=15
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8 0
3 years ago
On a recent trip to a local orchard, the Morgan family picked four different kinds of apples - Braeburn, Cortland, Fuji, and Rom
ivanzaharov [21]

Answer:

Morgan family picked 144 Braeburn apples, 96 Cortland apples, 72 Fuji apples and 48 Rome apples.

Step-by-step explanation:

Let B, C, F and R represent Braeburn apples, Cortland apples, Fuji apples, and Rome apples respectively.

We have been given that Morgan family picked a total of 360 apples. We can represent this information in an equation as:

B+C+F+R=360...(1)

We are told that Morgan family picked twice as many Braeburn as Fuji. We can represent this information in an equation as:

B=2F...(2)

We are told that Morgan family picked twice as many Cortland as Rome, that is:

C=2R...(3)

We are told that Morgan family picked 50% more Fuji than Rome, that is:

F=1.5R...(4)

Upon substituting equation (4) in equation (2), we will get:

B=2(1.5)R

B=3R

Now, each apple in in terms of Rome apples, so we will get:

3R+2R+1.5R+R=360

Let us solve for R.

7.5R=360

\frac{7.5R}{7.5}=\frac{360}{7.5}

R=48

Therefore, Morgan family picked 48 Rome apples.

Upon substituting R=48 in (3), we will get:

C=2R\Rightarrow 2(48)=96

Therefore, Morgan family picked 96 Cortland apples.

Upon substituting R=48 in (4), we will get:

F=1.5R\Rightarrow 1.5(48)=72

Therefore, Morgan family picked 72 Fuji apples.

Upon substituting F=72 in (2), we will get:

B=2F\Rightarrow 2(72)=144

Therefore, Morgan family picked 144 Braeburn apples.

3 0
3 years ago
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