3 years ago

Write an equation in slope-intercept form for each of these representations.

Mathematics

1 answer:

PtichkaEL [24]3 years ago

7 0

Answer:

1. y= -1/4x +2

2. y= -2x -1

Step-by-step explanation:

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Find the mass of the triangle with vertices (1; 0; 0), (0; 2; 0), (0; 1; 1) if the density function is given by (x; y; z)

Luda [366]

Answer:

$=\frac{17}{3}$

Step-by-step explanation:

Density of a function is $\rho(x,y)=x^{2} +y^{2}$

I have drawn the right angle triangle for visualization

equation for the line passing through (1,0) and (0,4) is

$\frac{y}{4} =\frac{x-1}{-1}$

$y=4-4x$

= $\int_{0}^1\int_{0}^{4-4x} (x^{2}+y^{2})dydx$

= $\int_{0}^{1}(x^{2}+\frac{y^{3} }{3})dx$

= $\int_{0}^{1}(x^{2}(4-4x)+\frac{1}{3}(4-4x)^{3} )dx$

= $\int_{0}^{1}(\frac{-76}{3}x^{3} +68x^{2}-64x^{}+\frac{64}{3} )dx$

= $=(\frac{-76}{3} \frac{x^{4} }{4})+\frac{68}{3}x^{3}-32x^{2}+\frac{64}{3}x^{})$

$=\frac{17}{3}$

3 0

3 years ago

A cement path consists of six equal-sized cement squares arranged in a row to form a rectangle. If the total area of the path is

Bingel [31]

Answer:

24 feet

Step-by-step explanation:

Given that:

The length of the rectangle is 6 times the side of a cement square.

Now, this rectangle is formed from 6 squares;

The total area of the path of this square = 96 square feet;

The area of each square now = 96/6 = 16 square feet

Recall that:

Area of a square = S²

where S is the side length

16 = S²

S = $\sqrt{16}$

S = 4 ft

The length of the path in feet now is: L × w

= 6 × 4

= 24 feet.

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3 years ago

2. Solve the system of equations using the substitution method.

Dimas [21]

Answer:

x = 1

Step-by-step explanation:

2x + 3y = 20

2x + 3(10-4x) = 20

2x + 30 - 12x = 20

combine like terms

-10x + 30 = 20

-30 -30

-10x = -10

divide both sides by -10

x = 1

Hope this Helps!!!

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3 years ago

Sabrina is building three identical table tops. The table top measures 8 feet by 3 feet. How many square feet of wood will Sabri

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I think sabrina would need 24 table tops

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2 years ago

NEED ANSWER IN LESS THAN 10 MINS!!

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