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3 years ago

Find the distance between the points (-2, 4) and (5, 4). 3 7 8

Mathematics

1 answer:

Lina20 [59]3 years ago

8 0

Try this solution:
distance= $\sqrt{(5-(-2)^2+(4-4)^2} = \sqrt{49} =7.$

answer: 7

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Find the 11th term of the arithmetic sequence. <br> a3 = 20.5 and a8 = 13, a11 = ______. ...?

lianna [129]

In order to solve for a nth term in an arithmetic sequence, we use the formula written as:<span>

an = a1 + (n-1)d

where an is the nth term, a1 is the first value in the sequence, n is the term position and d is the common difference.

First, we need to calculate for d from the given values above.
<span>a3 = 20.5 and a8 = 13
</span>

an = a1 + (n-1)d
20.5 = a1 + (3-1)d

</span>an = a1 + (n-1)d
13 = a1 + (8-1)d
<span>
a1 = 23.5
d = -1.5

The 11th term is calculated as follows:

a11 = a1 + (n-1)d
a11= 23.5 + (11-1)(-1.5)
a11 = 8.5</span>

8 0

3 years ago

Drag the expressions into the boxes to correctly complete the table. Polynomial Not a polynomial

uranmaximum [27]

The answer to the given question is as below:-

Polynomials:-

x³-7x²+9x-5x⁴-20

x⁵-5x⁴+4x³+2x-1

3x²-5x⁴+2x-12

Non-polynomial:-

x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1

$\dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1$

$\sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16$

<h3>What are polynomials?</h3>

A polynomial is a mathematical equation made up of indeterminates and coefficients and involves only addition, subtraction, multiplication, and non-negative integer exponentiation of variables. The exponents of the polynomials can not be irrational.

So the table will be formed as:-

Polynomials:- Non-polynomial:-

x³-7x²+9x-5x⁴-20 x⁻5-5x⁻⁴+4x⁻³+2x⁻1-1

x⁵-5x⁴+4x³+2x-1 $\dfrac{4}{x^4}+ \dfrac{3}{x^3}-\dfrac{2}{x^4}-1$

3x²-5x⁴+2x-12 $\sqrt[4]{x} -\sqrt[3]{x} 4+\sqrt{x}-8x+16$

Therefore the polynomials and non-polynomials are shown in the table above.

To know more about polynomials follow

brainly.com/question/2833285

#SPJ1

5 0

1 year ago

A production plant cost-control engineer is responsible for cost reduction. One of the costly items in his plant is the amount o

Ann [662]

Answer:

248.96

Step-by-step explanation:

From this regression output we have the MS Residual or mean squared error to be equal to 61983.1

the question requires us to find the standard error of the estimate. The standard error of the estimate can be gotten by finding the square root of the MSE.

$\sqrt{61983.1}$

= 248.96

the standard error of the estimate = 248.96

thank you!

6 0

2 years ago

Find the exact circumference of a circle with the given radius. 5 inches C = 2.5π in. 10π in. 25π in.

docker41 [41]

The circumference, C, of a given circle may be calculated through the equation,

C = 2πr

where r is the radius.

Substituting the known values from the given in this item,
C = 2(π)(5 in)
<em>C = 10π in</em>

Thus, the answer is this item is the second choice.

5 0

3 years ago

Which is the graph of y= [X] - 2?

Vera_Pavlovna [14]

Answer:

The third one from left

8 0

3 years ago

Read 2 more answers