Mathematics, 30.09.2019 14:30 juliawatakip5fmg7

What is the equation of the line, in general form, that passes through the point (1, 1) and has a y-intercept of 2.

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Y - 1 = m(x - 1) . . . (1)
y = mx - m + 1 . . . (2)

From(2), -m + 1 = 2 => m = 1 - 2 = -1

Substituting for m in (1), we have:
y - 1 = -(x - 1) . . . (3)

Equation of a line in general form is given by ax + by = c

From (3), y - 1 = -x + 1
x + y = 1 + 1

Therefore, required equation is x + y = 2.

Answer from: Quest

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

$a=9\times 12=108\text {ft^2}$

so the area of the floor is 108 square feet, converting that into square yards we get,

$108 \times 0.1111= 12 \text{yd^2}$

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

$\$15 \times 12=\$180$

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

$a = 12 \times 15=180\text {ft}^2$

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

$180 \times 0.111=20 \text {yd}^2$

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

$\$15 \times 20= \$300$

so, it will cost $300.

Answer from: Quest

explanation:

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not having a good faith estimate can keep you unaware of aforementioned points.

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