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3 years ago

Which equation represents grants path? A. y=2-4xB. y=4-x/2C. y=6-x/4D. y=8-2x

Mathematics

2 answers:

andre [41]3 years ago

8 0

Answer:

Step-by-step explanation:

EleoNora [17]3 years ago

6 0

Answer:

Step-by-step explanation:

recall that the point-slope form of a linear equation is given by

y = mx + c

Rearranging so that it is in the same form as the answer choices, we get

y = c + mx

where m is the slope and c is the y-intercept

we note the following observations

1) The line goes from top left to bottom right, this means that the slope is negative, hence m has to be negative. (in our case, all the choices have negative x)

2) The line crosses the y-axis at y = 4, this means the y-intercept is 4 and hence c = 4.

If we look at the choices, only choice B satisfies both observations (that m is negative and c = 4)

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An open-top box with a square base is to have a volume of 4 cubic feet. Find the dimensions of the box (in ft) that can be made

Lemur [1.5K]

Answer:

The dimension of box= $2ft\times 2ft\times 1ft$

Step-by-step explanation:

We are given that

Volume of box=4 cubic feet

Let x be the side of square base and h be the height of box

Volume of box= $lbh=x^2h$

$4=x^2h$

$h=\frac{4}{x^2}$

Now, surface area of box,A= $x^2+4xh$

$A=x^2+4x(\frac{4}{x^2})=x^2+\frac{16}{x}$

$\frac{dA}{dx}=2x-\frac{16}{x^2}$

$\frac{dA}{dx}=0$

$2x-\frac{16}{x^2}=0$

$2x=\frac{16}{x^2}$

$x^3=8$

$x=2$

$\frac{d^2A}{dx^2}=2+\frac{32}{x^3}$

Substitute x=2

$\frac{d^2A}{dx^2}=2+\frac{32}{2^3}=2+4=6>0$

Hence, the area of box is minimum at x=2

Therefore, side of square base,x=2 ft

Height of box,h= $\frac{4}{2^2}=1 ft$

Hence, the dimension of box= $2ft\times 2ft\times 1ft$

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2 years ago

Perimeter of 40 triangles when the sides are all 1 cm long

Marianna [84]

Answer: 120 cm.

Step-by-step explanation: Each triangle has 3 sides, and each side is 1 cm. Multiply the number of sides for one triangle by the total number of triangles. 3 x 40=120. The perimeter is 120 cm.

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3 years ago

a bag of peaches has 3 more than 2 times the number of bananas in a bag of bananas. if there are 17 peaches in a bag, how many b

Harlamova29_29 [7]

this can be turned into an equation to be solved more easily. so the amount of bananas can be x. there are 17 peaches. So the equation would be:

(17 - 3) ÷ 2 = x

you begin with what's inside the parenthesis

17 - 3 = 14.

14 ÷2 = 7

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there are 7 bananas in the bag of bananas

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3 years ago

What is the distance between points A(2,9) and B(-2,6)? Round to the nearest whole number.

Sati [7]

Answer:

The answer is 5

Step-by-step explanation:

Use pythagorean theorem. $\sqrt{3^{2}+ 4^{2} } =5$

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3 years ago

A square pyramid and a cube have the same total surface area. The width of the cube is 8 centimeters. The base of the pyramid is

azamat

Answer:

Step-by-step explanation:

surface area of cube = 6×8² = 384 cm²

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6 0

2 years ago

Which equation represents grants path? A. y=2-4xB. y=4-x/2C. y=6-x/4D. y=8-2x​

Which equation represents grants path? A. y=2-4xB. y=4-x/2C. y=6-x/4D. y=8-2x