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2 years ago

Please help for online school

Mathematics

1 answer:

Stels [109]2 years ago

4 0

Answer:

Step-by-step explanation:

The diagram shows that the one triangle can be divided into two equal right triangles. Because of this, you can use the Pythagorean Theorem to solve this problem. a and b are the two sides of the angles, and c is the hypotenuse.

The given lengths are 5 as the hypotenuse and 3 as one length. (You have 3 as a given length because the two triangles have a length of 6 on one side. 6/2 = 3)

a² + b² = c²

a² = c² - b²

a² = 5² - 3²

a² = 25² - 9²

a² = 16

a = 4

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Find the slope of every line that is parallel to the graph of the equation x+7y=6

raketka [301]

$x+7y=6

7y=-x+6

(7y)/7=(-x+6)/7

y=(-1/7)x+6/7


Since, y=mx+b and m is the slope

m=-1/7$

7 0

3 years ago

Juliet rented a car for one day from a company that charges $80 per day plus $0.15 per mile driven. If she was charged a total o

svlad2 [7]

Answer:

B) 120

Step-by-step explanation:

m = miles

$98=$80+$0.15m

$98-$80=$80-$80+$0.15m

$18=$0.15m

$18/$0.15=$0.15m/$0.15

120=m

Juliet drove 120 miles for $98.

(this is a good explanation, I guess)

7 0

3 years ago

Read 2 more answers

2 Construct a rational function that will help solve the problem. Then, use a calculator to answer the question.

vaieri [72.5K]

Answer:

<u><em>Dimension of box:-</em></u>

Side of square base = 10 in

Height of box = 5 in

Minimum Surface area, S = 300 in²

Step-by-step explanation:

An open box with a square base is to have a volume of 500 cubic inches.

Let side of the base be x and height of the box is y

Volume of box = area of base × height

$500=x^2y$

Therefore, $y=\dfrac{500}{x^2}$

It is open box. The surface area of box, S .

$S=x^2+4xy$

Put $y=\dfrac{500}{x^2}$

$S(x)=x^2+\dfrac{2000}{x}$

This would be rational function of surface area.

For maximum/minimum to differentiate S(x)

$S'(x)=2x-\dfrac{2000}{x^2}$

For critical point, S'(x)=0

$2x-\dfrac{2000}{x^2}=0$

$x^3=1000$

$x=10$

Put x = 10 into $y=\dfrac{500}{x^2}$

y = 5

Double derivative of S(x)

$S''(x)=2+\dfrac{4000}{x^3}$ at x = 10

$S''(10) > 0$

Therefore, Surface is minimum at x = 10 inches

Minimum Surface area, S = 300 in²

7 0

3 years ago

What value of x is in the solution set of 2(3x-1) ≥ 4x-6?

Travka [436]

2(3x-1) >=4x-6
6x-2>=4x-6
6x-4x>= -6+2
2x>=-4
x>=-2

You can see after simplification, the valve of x can be any number greater than or equal to -2. i.e -5 and -3 can not be in the solution set. the first choice can be dismissed, the fact the variable O could be any number that may not satisfy the solution. Therefore 0-1 is the answer, any thing between 0 & 1 including 0 and one satisfy the solution set

8 0

2 years ago

solve the system of linear equations by elimination, the equations are 2x-6=4y and 7y= -3x+9. What is the solution

tatiyna

This should be the answer. You can plug in 0 for y to any of the equation to find the x.

3 0

3 years ago