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enyata [817]
2 years ago
12

Divide x - 3x² - 10x+ 24 by X-2 Step 1 - Fill in the missing number: k | 1 -3 -10 24 k =

Mathematics
1 answer:
horrorfan [7]2 years ago
4 0

The value of "k" that is missing will be 1  -2

<h3>Division of polynomial</h3>

From the given table, we can see that the coefficients and the constant of the polynomial function are written inside the division

  • For the divisor which is x - 2, the coefficient and constant will also be written the position where the value of "k" is.

  • Hence the value of "k" that is missing will be 1  -2

Learn more on division of polynomial here: brainly.com/question/2264624

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Sam's total expenses last month were $1840. What was his total variable cost for last
likoan [24]

Answer:

$1500

Step-by-step explanation:

It is given that

Rent  = $100

Groceries and drinks = $1000

Insurance premiums   = $10

Loan interest payment  =$30

Clothes  = $200

Utilities  = $300

Home security fee  = $200​

Fixed cost are costs that does not vary and variable cost are costs that vary with goods and services.

In the given problem, rent , insurance premiums, loans interest payment ad home security fee are fixed cost.

Groceries and drinks, clothes and utilities are variable cost.

So, total variable cost for last month is

\text{Total variable cost}=\$1000+\$200+\$300=\$1500

Therefore, total variable cost for last month is $1500.

5 0
3 years ago
If y varies directly as x and y = 5.5 when x = 11, find x when y = 3.5<br><br> help
dlinn [17]

Answer:

7

Step-by-step explanation:

Let us say that y_{1}= 5.5, x_{1}= 11, and y_{2} = 3.5.

\frac{y_{2}}{y_{1}} =\frac{x_{2}}{x_{1}}

\frac{3.5}{5.5} =\frac{x_{2}}{11}

\frac{7}{11} =\frac{x_{2}}{11}

x_{2} =7

I hope this is correct and helps you!

5 0
3 years ago
If the area of the blue square is 144 units2 and the area of the pink square is 1225 units2, then the length of the hypotenuse i
navik [9.2K]

Answer: 37 units

Step-by-step explanation:

Blue=144units^2 This also works as the height of the triangle.

Pink=1225units^2 This also works as the base of the triangle.

Let's call pink ''a'', and blue ''b''. The side we're looking for ''c'' is the hypothenuse.

To find the values of a and b, use the area formula of a square and solve for a side. In this case, since we're going to need the squared values, this step can be omitted.

Formula: A=s^2

s=\sqrt[]{A}

Let's work with Blue.

s=\sqrt[]{144units^2} \\s=12units

Now Pink.

s=\sqrt[]{1225units^2}\\s=35units

So we have a triangle with a base of 35 units and a height of 12 units.

Now let's use the pythagoream's theorem to solve.

c^2=a^2+b^2\\c=\sqrt[]{a^2+b^2} \\c=\sqrt[]{(12units)^2+(35units)^2}\\c=\sqrt[]{144units^2+1225units^2}\\ c=\sqrt[]{1369units^2}\\ c=37units

7 0
3 years ago
3х + бу = 24<br> figure out x and y intercept
____ [38]

Answer:

x int... (8,0)

y int... (0,4)

Step-by-step explanation:

6 0
4 years ago
Read 2 more answers
2. A surveyor measures the distance across a river that flows straight north by the following method. Starting directly across f
IgorLugansk [536]

Answer:

The wide is 70.02 m.

Step-by-step explanation:

First you need to draw a triangle with only one 90 degrees angle.

The opposite side to the 90 degrees angle will be the hypotenuse.

We will call the remaining sides ''Baseline'' and ''River wide''.

The angle between hypotenuse and baseline is 35 degrees.

The triangle has one 90 degrees angle so we can apply the tangent equation

in the angles that are no 90 degrees.

Tangent (angle) = Opposite side/adjacent

Tan(35°)= River wide/100m

River wide = 100m.Tan(35°)

River wide = 70.02 m

6 0
3 years ago
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