The area of the garden is 160 meter squared.Suppose the length of the garden is 3m more than twice its width.What is the length of the garden?

Answers

Answer 1

Answer: $w-width\n\n2w+3-length\n\n160m^2-area\ of\ the\ garden\n\nw\time(2w+3)-area\ of\ the\ garden\n\nw(2w+3)=160\n\n2w^2+3w-160=0$

$a=2;\ b=3;\ c=-160\n\n\Delta=b^2-4ac\to\Delta=3^2-4\cdot2\cdot(-160)=9+1240=1249\n\nw_1=(-b-\sqrt\Delta)/(2a);\ w_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(1249)\approx35.34\n\nw_1=(-3-35.34)/(2\cdot2) < 0;\ w_2=(-3+35.34)/(2\cdot2)=(32.34)/(4)=8.085\ (m)\n\nlength\approx2\cdot8.085+3=19.17\ (m)$

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If m is the midpoint of xy find the coordinates of x if m -3,-1 and y -8,6

Answers

Answer:

To find the coordinates of x, we can use the midpoint formula, which says that the midpoint of a line segment is the average of the x-coordinates and the y-coordinates of the endpoints12. That is:

m=(2x1+x2,2y1+y2)

In this case, we know that m is (−3,−1) and y is (−8,6). We can plug these values into the formula and solve for x:

(−3,−1)−3−6x−1−2−8=(2x+(−8),2−1+6)=2x−8=x−8=2=2−1+6=−1+6=6

Therefore, x is (2,−8). You can check your answer by plugging it back into the midpoint formula and see if you get m.

I hope this helps

Step-by-step explanation:

Find the areaRenata is completing a craft project that involves covering only the lateral surface of a cylindrical container with fabric. The cylinder has a height of 12.8 in. and a radius of 15.1 in. To the nearest square unit, how much fabric does she need for this project? Use a calculator.

Answers

Answer: Renata needs 1,214 square inches fabric for this project.

Data:
Height of the cylinder: h=12.8 in
Radius of the cylinder: r=15.1 in
Lateral surface of the cylinder: S=?

Solution:
S=2 Pi r h; Pi=3.1416

Replacing the known values:
S=2 (3.1416) (15.1 in) (12.8 in)
S=1,214.416896 in^2
S=1,214 in^2

What is least to greatest? 4.3, 0.43 & 3.4

Answers

Descending (least to greatest) order would be 0.43, 3.4, 4.3

Ascending order (greatest to least) would be 4.3, 3.4, 0.43

Y=-5
5x+4y=-20
it say solve by substitution

Answers

$y=-5\n5x+4y=-20 \n\n5x+4 \cdot (-5)=-20 \n\n5x-20=-20\ \ | \ add\ 20\ to\ both\ sides \n\n5x=0 \ \ | \ divide \ both \ sides\ by\ 5\n\nx=0$

5x + (4 · -5) = -20
5x - 20 = -20
5x = 0
x = 0

Which statement best describes the excluded values of a rational expression?a. The number of excluded values of a rational expression cannot exceed the degree of the numerator.
b. The number of excluded values of a rational expression cannot exceed the degree of the denominator.
c. The number of excluded values of a rational expression cannot exceed the sum of the degrees of the numerator and denominator.
d. The number of excluded values of a rational expression cannot exceed the difference in the degrees of the numerator and denominator.

Answers

Answer: b. The number of excluded values of a rational expression cannot exceed the degree of the denominator.

Step-by-step explanation:

A rational expression is a fraction in which the numerator and the denominator are polynomials. The excluded values of a rational number are that values which make denominator zero.They are basically the zeroes of the polynomial of denominator.So,the number of excluded values can't exceed the degree of the denominator.

Here is a rational expression $(x^2-6)/(x^2-4)$

where the denominator is $x^2-4=(x-2)(x+2)$

⇒x=-2,+2 are zero of polynomial $x^2-4$

i.e. -2 and 2 are the excluded values for the whole rational expression.

Which statement best describes the excluded values of a rational expression?

B is the correct answer - The number of excluded values of a rational expression cannot exceed the degree of the denominator.

A rational expression is denoted in $(p)/(q)$ form; where 'p' is the numerator and 'q' is the denominator. The numerator and denominators can be polynomials. The denominator cannot be zero in general, as it makes the fraction value undefined.

This is the problem:Brooke has to set up 70 chairs in equal rows for the class talent show.But ,there is not room for more than 20 rows.What are the possible number of rows that Brooke could set up?plz help what do i do

Answers

10 in each row, 7 in each row

Well you don't have to fill all 20 rows so you could just do 14 chairs in 5 rows and it would equal 70 chairs.

Other Questions

Mailing on a weekly salary of $385 plus a 70% commission on a sale at a gift shop how much would she make in a work week if she had sold for 4300 worth of merchandise

Which of the following is the solution to the equation 25^(z − 4) = 125?

Z+w−3=k6z−10w=8

How many questions would I have to miss on a 25 question test to get 88% ?