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LenKa [72]
3 years ago
14

Write a polynomial that fits the description:

Mathematics
1 answer:
rewona [7]3 years ago
4 0

Answer:

-4x^3 + 2x^2-3

Step-by-step explanation:

Degree is the highest exponent on the variable in a polynomial.

A leading coefficient is the first terms coefficient when the polynomial is written in standard form.

To write this polynomial, write -4x^3 as your first term. Its leading coefficient is -4 and it has a degree of 3. Then add whatever terms after it being sure to not add any more with exponent 3 or higher.

Example: -4x^3 + 2x^2-3

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What is the distance between the points (3,12) and (14,2)
Licemer1 [7]

Answer:

square root of 221

Step-by-step explanation:

d= sqrt (14-3)^2 + (2-12)^2

sqrt 121+100= sqaure root of 221

6 0
4 years ago
Read 2 more answers
An architectural firm wants to replicate a nearby estate with some changes. The new estate will be larger than the original by a
Oduvanchick [21]

Answer:

Option B.

Step-by-step explanation:

It is given that the new estate will be larger than the original by a scale factor of 1:10.

A section of the roof in the original estate is constructed using 45-45-90 triangles. The hypotenuse of the triangle is 10 meters long.

Two angles are equal and one angle is a right angle, it means it is an isosceles right-angled triangle.

Let x be the length of the legs of the triangle for the larger estate.

The hypotenuse of larger estate = 10 × 10 = 100

Using Pythagoras triangle,

perpendicular^2+base^2=hypotenuse^2

x^2+x^2=(100)^2

2x^2=10000

Divide both sides by 2.

x^2=5000

Taking square root on both sides.

x=\sqrt{5000}

x=70.71\text{ meters}

Hence, the correct option is B.

8 0
4 years ago
Need some help on this question please provide evidence on how you came up with the answer aswell.
nika2105 [10]

Answer:

22

Step-by-step explanation:

the first three set of dots are 11

if you combine them

they'll look like the last one

11 + 11

=22

5 0
3 years ago
Read 2 more answers
Can someone please help me with this one this is confusing to me :’) tysm!
AlekseyPX

Answer: 125 centimeters

1,250 millimeters

Step-by-step explanation:

'centi' means hundred. 100 centimeters go into a meter.

'milli' means thousand. 1,000 millimeters go into a meter. Easy math from there.

6 0
3 years ago
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A line passes through the points (6, 10) and (4, -2). What is the equation of the line
sineoko [7]

Answer:

y = 6x - 26

Step-by-step explanation:

1. find slope: (y₂ - y₁) / (x₂ - x₁)

(-2 - 10) / (4 - 6) = -12 / -2 = 6

basic equation: y = 6x + b

2. plug in (x,y) value using one set of coordinates.

10 = 6(6) + b

10 = 36 + b

b = 10 - 36

b = -26

3. plug b in to find full equation.

y = 6x -26

4 0
3 years ago
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