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3 years ago

A student writes the equation for a line that has a slope of -6 and passes through the point (2, –8).

Mathematics

1 answer:

tester [92]3 years ago

3 0

Answer:

y -(-8) = -6(x - 2) or y - (-8) = -6x + 12

Step-by-step explanation:

gradient(m) = -6 point (2,-8)

equation of a line is given as;

y - y1 = m(x - x1)

y - (-8) = -6(x - 2)

y - (-8) = -6x - 12

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4 years ago

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VARVARA [1.3K]

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Answer:

$g^{-1} (g(10))=10$

Step-by-step explanation:

Begin by calculating g(10):

g(x) = 3x - 6

Substitute in 10 for x:

g(10) = 3(10) - 6

g(10) = 30-6

g(10) = 24.

Plug '24' into 'x' into $g^{-1} (x)$

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3 years ago

A cricket team won 60% of the total matches it played during the year. If it lost 24 matches in all and no matches were drawn, f

posledela

it lost 100 - 60 = 40% of its games ( = 0.40)

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3 years ago

Plssss help quick i need it for sum important

Vanyuwa [196]

(a) The product of $(2x-4)\ and\ (3x^2-x+4)$ is calculated to be $=6x^3-14x^2+12x-16$

(b)The product of $(2x-4) \ and\ (3x^2-x+4)\$ is not equal to the product of $(4x-2)\ and\ (3x^2-x+4)$

<u>Step-by-step explanation:</u>

$(2x-4)(3x^2-x+4)\\\\=(2x.3x^2)+(2x.-x)+(2x.4)+(-4.3x^2)+(-4.-x)+(-4.4)\\\\=6x^3-2x^2+8x-12x^2+4x-16\\\\=6x^3-14x^2+12x-16$

$(4x-2)(3x^2-x+4)\\\\=(4x.3x^2)+(4x.-x)+(4x.4)+(-2.3x^2)+(-2.-x)+(-2.4)\\\\=12x^3-4x^2+16x-6x^2+2x-8\\\\=12x^3-10x^2+18x-8$

The product of $(2x-4) \ and\ (3x^2-x+4)\$ is not equal to the product of $(4x-2)\ and\ (3x^2-x+4)$

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3 years ago

The ladder in a fire station is 29 feet (ft) tall. The ladder is anchored to the basement floor and the second floor ceiling. Th

Eduardwww [97]

Answer:

top = 17ft

bottom = -12ft

Step-by-step explanation:

As seen in the badly drawn picture attached in this question we are trying to find the point at the top of the ladder and the point at the bottom of the ladder. As seen in the picture ground level has an altitude of 0 ft meaning that lower than this would be in the negatives. Since the basement floor is 12 feet below ground level then this point would be -12 ft. Now since we know that the ladder is 29ft tall we simply add this height to the basement floor value to get the value of the 2nd floor ceiling (top of the ladder).

29ft + ( -12ft) = 17ft

Therefore we can see that the point at the top of the ladder is 17ft.

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3 years ago