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Anit [1.1K]
3 years ago
7

Answer the questions about the following polynomial. -10x +1

Mathematics
1 answer:
tester [92]3 years ago
3 0

Answer:

Step-by-step explanation:

Given polynomial is (-10x + 1).

This polynomial has two terms.

Therefore, it's a binomial with two separate terms.

The expression represents a binomial polynomial with two terms. The constant term is 1, the leading term is -10x, and the leading coefficient is (-10).

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The circumference of circle 1 is 16 pi units. The circumference of circle 2 is 6 pi units. Which of the following is true about
Yanka [14]

Answer:

Area of Circle 1=>64(pi) units^2

Area of Circle 2=>9(pi) units^2

Step-by-step explanation:

Circumference=2(pi)r

Circle 1: 2(pi)r=16(pi)

Divide by 2(pi) on both sides

r=8 units

Area=(pi)r^2

Area of circle 1=>(pi)*(8^2)

Area of Circle 1=>64(pi) units^2

Circle 2: 2(pi)r=6(pi)

Divide by 2(pi) on both sides

r=3 units

Area=(pi)r^2

Area of circle 2=>(pi)*(3^2)

Area of Circle 2=>9(pi) units^2

3 0
3 years ago
Two-thirds Times a number plus 7 equals 7 minutes the number. Find the number
skelet666 [1.2K]
2/3x + 7 = x-7
         +7      +7
---------------------
2/3x + 14 = x
-2/3x        -2/3x
----------------------
14 = 1/3x
*3     *3
-------------
42 = x

Hope this helps! :)


3 0
3 years ago
Decide whether the numbers can represent the side lengths of a triangle. If they can, classify the triangle as right, acute, or
Irina18 [472]

Answer:

4) i) The numbers can represent the side lengths of a triangle

ii) Right triangle

5) i) The numbers can represent the side lengths of a triangle

ii) Isosceles triangle

6) i) The numbers can represent the lengths of the sides of a triangle

ii) Pythagoras theorem

7) The numbers do not represent the lengths of sides of a triangle

8) i) The numbers can represent the side lengths of a triangle

ii) Scalene triangle

Step-by-step explanation:

In a triangle, the sum of the lengths of the two shorter sides is longer than the length of the longest side

The given numbers are;

4) i) 15, 20, 25

Given that 15 + 20 < 25, the numbers can represent the side lengths of a triangle

ii) 15² + 20² = 25²

Therefore, the sides lengths are in line with the side length of a right triangle as their relation is given by Pythagoras theorem

The triangle is a right triangle

5) i) The given numbers are;

2, 6, 6

Given that 2 + 6 > 6, the numbers can represent the side lengths of a triangle

ii) Given that the lengths of two sides are equal (6 each), the triangle formed by the numbers is an isosceles triangle

6) i) 0.27, 0.36, 0.45

0.27 + 0.36 = 0.63 > 0.45, therefore, the numbers can represent the lengths of the sides of a triangle

ii) Given that 0.27² + 0.36² = 0.45², according to Pythagoras theorem, the type of triangle formed is a right triangle

7) 2.5, 1.5, 4

Given that 2.5 + 1.5 = 4, the numbers do not meet the criteria for forming triangles and therefore they cannot represent the side lengths of a triangle

8) i) 12,  16, 25

12 + 16 = 28 > 25, the numbers can represent the side lengths of a triangle

ii) 12² + 16² = 400 < 25² = 625, therefore, the triangle formed by the numbers is not a right triangle but a scalene triangle.

7 0
2 years ago
Find the oth term of the geometric sequence 7, 14, 28, ...
yaroslaw [1]

Answer:

The nth term of the geometric sequence 7, 14, 28, ... is:

a_n=7\cdot \:2^{n-1}

Step-by-step explanation:

Given the geometric sequence

7, 14, 28, ...

We know that a geometric sequence has a constant ratio 'r' and is defined by

a_n=a_1\cdot r^{n-1}

where a₁ is the first term and r is the common ratio

Computing the ratios of all the adjacent terms

\frac{14}{7}=2,\:\quad \frac{28}{14}=2

The ratio of all the adjacent terms is the same and equal to

r=2

now substituting r = 2 and a₁ = 7 in the nth term

a_n=a_1\cdot r^{n-1}

a_n=7\cdot \:2^{n-1}

Therefore, the nth term of the geometric sequence 7, 14, 28, ... is:

a_n=7\cdot \:2^{n-1}

6 0
2 years ago
A motorist took 1.2 hour to travel 96 km how far will he travel in 1 hour
miskamm [114]

Answer:

80km

Step-by-step explanation:

To solve this problem, we need to cross multiply. Lets input the values (1.2, 1.0, 96) as shown below:

\frac{1.2}{96} = \frac{1.0}{x}

Next we cross multiply. We multiply 1.2 and x, and we multiply 96 and 1.0.

1.2(x) = 1.2x

96 x 1.0 = 96

Now, lets put the values above back into the equation:

1.2x = 96

Lets solve this equation. First we divide 96 by 1.2.

1. x = \frac{96}{1.2}

2. x = 80

This means that our answer is 80km.

4 0
2 years ago
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