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3 years ago

Determine if the expression 9y5 – 10y3 is a polynomial or not. If it is a polynomial,

Mathematics

1 answer:

Stolb23 [73]3 years ago

8 0

I am going to assume that the equation was supposed to be $9y^{5}$ $-10y^{3}$

Answer:

It is a polynomial. It is a binomial and it has a degree of 5.

Step-by-step explanation:

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables so $9y^{5}$ $-10y^{3}$ will be considered a polynomial.

A binomial is a polynomial with 2 terms.

The degree of a polynomial is the highest exponent in it which in this equation is 5.

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Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find

densk [106]

Answer:

x=4

Step-by-step explanation:

<u>Step 1</u>:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

$AC^2 = AB^2 + BC^2$

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

$(a + b)^2 = a^2 +2ab+b^2$

289 = 4x^2 +9(x^2+2x+1)

$13x^2 +18x-280 = 0$

finding factors 70 X 52 = 3640

$13x^2 +70x-52x-280 = 0$

$13x^2 -52x+ 70x-280 = 0$

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and $13x =-70$

x=4 and $x=\frac{-70}{13}$

we can not choose negative value so x value is 4

Final answer:- x = 4

<u>verification:-</u>

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

6 0

3 years ago

Read 2 more answers

_ please answer this question .

Anna007 [38]

Answer:

For the column "Slope Intercept", the graph is displaying y = -7/2x + 3. Because the line is going down 7 units and to the right 2 units, and the 3 is the point in which the line crosses the y-axis.

For the "Standard" column, it will be

7x + 2y = 6, because that's what it would look like in standard form. (To turn it from standard to slope intercept form, remember you must first subtract 7x on both sides to get 2y = -7x + 6, and then divide by 2 on both sides to get

y = -7/2x + 3.)

For column "Point Slope", I just realized you are supposed to pick a point on the line and plug the coordinates into this formula:⤵⤵⤵

<em>This is the point-slope formula.⤵⤵⤵</em>

$y - y _{1} = m(x - x _{1})$

For example we'll use point (2,-4). Also, remember that coordinates are written as (x,y), and that m represents slope.

So we have: y - (-4) = -7/2(x-2).

In other words, "Point Slope" would be

y + 4 = -7/2(x-2).

By the way, sorry this is a bit long, and took a while to complete. I had to re-educate myself on point-slope. Anyways hope this helps, I tried :)

5 0

3 years ago

Diego took a survey to find out how many students plan to go to a school band concert. There are more than 1,000 students in his

Gennadij [26K]

Answer: N/A

Step-by-step explanation: We need more info to solve this problem

4 0

3 years ago

Read 2 more answers

Ruby stands at 5 feet tall her shadow is 6 feet long how far is it form the top of her head to the end of the shadow

alisha [4.7K]

Answer: 7.81 feet

Step-by-step explanation:

This scenario forms a right-angled triangle where Ruby's height of 5 feet is the height of the triangle. Her 6 feet long shadow is the length of the triangle and the distance from the top of her head to the end of the shadow is the hypotenuse.

This can therefore be solved by the Pythagorean formula:

c² = a² + b²

where ;

c = hypotenuse

a = height

b = length

c² = 5² + 6²

c² = 25 + 36

c² = 61

c = √61

c = 7.81 feet

7 0

3 years ago

Calculate the surface area and volume of the shape below.

pav-90 [236]

Surface area

Let's calculate the surface area of the rectangular block. It has length, width and height of L = 15, W = 5, H = 8. The surface area is going to be

SA = 2*(LW+WH+LH)

SA = 2*(15*5+5*8+15*8)

SA = 470

This is without the cylinder attached to the top surface. If we account for that, then we'll have to subtract off the area of the circle covered up which is

pi*r^2 = pi*3^2 = 9pi = 28.27433 approximately

So 470-28.27433 = 441.72567 is the approximate surface area of the rectangular block after we subtract off the circular portion covered up by the cylinder.

----------

The lateral surface area of the cylinder is approximately

2*pi*r*h = 2*pi*3*4 = 24pi = 75.39822

Which adds onto the top circular area of 28.27433 to get 28.27433+75.39822 = 103.67255

Meaning that 103.67255 is the surface area for the cylinder portion. Again we don't worry about the bottom portion as it's not part of the outer surface.

---------

Overall, the total surface area of this compound 3D figure is

(surface area for rectangular portion) + (surface area cylinder portion) = 441.72567+103.67255 = 545.39822

When rounding to the nearest whole number, the total surface area is about 545 square cm

<h3>Answer: 545 square cm</h3>

============================================================

Volume

The rectangular block has volume L*W*H = 15*5*8 = 600 cubic cm

The cylinder has volume pi*r^2*h = pi*3^2*4 = 113.0973355 approximately

Add the two volumes to get 600+113.0973355 = 713.0973355 and this rounds to 713. We don't have to do any subtraction in this section.

<h3>Answer: 713 cubic cm</h3>

4 0

3 years ago