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2 years ago

Find the distance between the two points rounding to the nearest tenth (if necessary).)

Mathematics

1 answer:

Mariana [72]2 years ago

3 0

Answer:

9.8

Step-by-step explanation:

First you would use the distance formula:

√[(x₂ - x₁)² + (y₂ - y₁)²]

Plug in the points into the formula, so x₂ would be 0 and y₂ would be -9

√[(0 - 9)² + (-9 + 5)²]
Reminder: two negatives make a positive so (-9 - -5) changes to (-9 + 5)

The answer would be 9.8488578018 plugged into the calculator or 9.8 rounded to the tenth place.

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I have 200 coins to put into 4 bags I put the coins into each bag so that each bag has 2 mote coins than the one before How many

Allushta [10]

First bag has 47 coins and second bag has 49 coins and third bag has 51 coins and fourth bag has 53 coins

Solution:

Given that,

Total number of coins = 200

Number of bags = 4

I put the coins into each bag so that each bag has 2 more coins than the one before

Therefore,

Each bag has 2 more coins than the one before. Based on this we can say,

Let "x" be the number of coins put in first bag

Then, x + 2 is the number of coins put in second bag

Then, x + 4 is the number of coins put in third bag

Then, x + 6 is the number of coins put in fourth bag

We know that,

Total number of coins = 200

$x + x + 2 + x + 4 + x + 6 = 200\\\\4x + 12 = 200\\\\4x = 200-12\\\\4x = 188\\\\x = 47$

Thus,

Coins put in first bag = x = 47

Coins put in second bag = x + 2 = 47 + 2 = 49

Coins put in third bag = x + 4 = 47 + 4 = 51

Coins put in fourth bag = x + 6 = 47 + 6 = 53

Thus number of coins in each bag are found

4 0

3 years ago

If a finance professional recommends that you save 10% of your income each month and Julie spends 30% on rent and 40% on all oth

german

Answer:

The percentage of income she should use on the rest of her expenses=20%

Step-by-step explanation:

Step 1: Determine her total income

Let her total percentage income be =100%

Step 2: Determine amount of each expense

The amount of each expense can be expressed;

Amount of each expense=percentage of total expense×total income

a). Savings

percentage expense on savings=10%

b). Rent

percentage expense on rent=30%

c). Fixed expenses

percentage expense on fixed expenses=40%

d). The rest expenses

percentage expense on the rest=x

Step 3: Calculate total percentage income

Total percentage income=percentage on savings expenses+percentage on rent expenses+percentage on fixed expenses+remainder

replacing;

Total expenses=(10+30+40+x)=x+80

Total percentage income=100%

Step 4: Get remaining percentage amount of her income

(100)=(x+80)

x=100-80

x=20

The percentage of income she should use on the rest of her expenses=20%

3 0

3 years ago

The parallelogram shown below has an area of 35 units2.

sleet_krkn [62]

The height is 5 becuase if the area is 35 that means the length is 7 so you would divide and get 5

6 0

3 years ago

Find the slope of the line that passes through the points (-2,4) and (-5,-6)

natali 33 [55]

$\bf (\stackrel{x_1}{-2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{-5}~,~\stackrel{y_2}{-6}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{-6-4}{-5-(-2)}\implies \cfrac{-10}{-5+2}\implies \cfrac{-10}{-3}\implies \cfrac{10}{3}$

4 0

4 years ago

Graph y=x+1/x² and y=1/x for positive values of x.

AlekseyPX

Answer:

Graphic is showed in the figure below

Step-by-step explanation:

To graph the equations given, let's do a table for positive values of x, and, by replacing it in the equation, let's calculate the value of y. Knowing the coordinate points (x,y) we can build the graphic.

x y= x + 1/x² y = 1/x

1 2 1

2 2.25 0.2

3 3.11 0.33

4 4.06 0.25

When x->0 both equations -> ∞, because lim(1/x) x->0 = ∞

The graphic is showed below. In red there is y = 1 + 1/x² and in blue y = 1/x

6 0

3 years ago