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2 years ago

(5,12) with a slope m=10 the equation of the line is

Mathematics

1 answer:

motikmotik2 years ago

8 0

Answer:

y= 10x-38

Step-by-step explanation:

Equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.

Given that m=10,

y= 10x +c

Now substitute the coordinates into the equation.

When y=12, x=5,

12= 10(5) +c

12= 50 +c

c= 12 -50

c= -38

Thus the equation of the line is y= 10x -38

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Which of the following is not a factor of x^3 – 3x^2 – 4x + 12?

Slav-nsk [51]

Answer:

c. (x + 3)

Step-by-step explanation:

using factor theorem

if x - 3 is a factor then p(a) = 0

p(a)= x^3 - 3x^2 - 4x + 12

a.(x-3)

p(3) = (3)^3 - 3(3)^2 - 4(3) + 12

= 27 - 27 - 12 + 12

= 0

therefore x-3 is a factor

b.(x + 2)

p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12

= -8 -12 + 8 + 12

,= 0

therefore x + 2 is a factor

c.(x + 3)

p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12

= -27 -27 + 12 + 12

= -30

therefore x + 3 is not a factor

d.(x-2)

p(2) = (2)^3 - 3(2)^2 - 4(2) + 12

= 8 -12 - 8 + 12

= 0

therefore x - 2 is a factor

4 0

2 years ago

What is 334.54 + 198 grams

lidiya [134]

334.54 + 198 = 532.54 grams total

hope this helps

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2 years ago

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An Olympic-sized swimming pool holds 2,500,000 liters of water. How many gallons of water does an Olympic-sized swimming pool ho

tankabanditka [31]

Answer:

The Olympic sized swimming pool hold 660501.9 gallons of water.

Step-by-step explanation:

Given that:

Water hold by an Olympic sized swimming pool = 2500000 liters

We know that;

1 gallon = 3.785 liters

Therefore,

We will divide the total number of water in liters by 3.785 to find the number of gallons.

Gallons of water in pool = $\frac{2500000}{3.785}$

Gallons of water in pool = $660501.9$ gallons

Hence,

The Olympic sized swimming pool hold 660501.9 gallons of water.

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2 years ago

At a bakery, Victor makes 20 cupcakes. He puts themin equal rows with 10 cupcakes in each row. Whichcalculation can be used to f

Anna [14]

Calculation = 20/10

Number of cupcakes Victor makes = 20

He puts them in equal rows:

Each row contains = 10 cupcakes

To know the number of rows he placed the 20 cupcakes,

we would divide 20 by 10

$\begin{gathered} \text{Number of rows = }\frac{20}{10} \\ \text{number of rows = 2} \end{gathered}$

Calculation = 20/10

The number of rows of cupcakes Victor makes = 2

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1 year ago

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pychu [463]

Answer:

Answer is in the screenshot provided.

Step-by-step explanation:

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