Mathematics: Ineed to write 4y =-3x + 12 in standard form, find the y-intercept of the previous equation, as an ordered pair, and find the x-intercept of the previous equation, but i forgot how. i need the answer asap! you!

Ineed to write 4y =-3x + 12 in standard form,

Ответ:

cfonse11

05.01.2022

Mathematics

$-3x+4y=12\\y-intercept: (0,3)\\x-intercept: (-4,0)$

Step-by-step explanation:

The standard form of a linear equation is ax+by=c , where , , and are constants in the equation.

Based on the equation you have provided, the standard form would be -3x+4y=12 , where a=-3, b=4, c=12 .

To find the y-intercept, set x=0 .

$-3(0)+4y=12\\0+4y=12\\4y=12\\y=\frac{12}{4} =3$

Therefore, the y-intercept is (0,3) .

Do the same thing for the x-intercept, but this time with y=0 .

$-3x+4(0)=12\\-3x+0=12\\-3x=12\\x=\frac{12}{-3} =-4$

Therefore, the x-intercept is (-4,0) .

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Ответ:

HTTYD

11.12.2022

Mathematics

11.33 feet.

Step-by-step explanation:

Given that the triangle is a right triangle ABC which has measure of angle ABC equal to 90 degrees and measure of angle ACB equal to 62 degrees.

The length of AB is 10 feet, which is opposite to angle ACB = 62 degrees.

The distance, in feet, that the box has to travel to move from point A to point C can be calculated by using trigonometry ratio. Since AC is the hypothenus of the triangle.

Using SinØ = opposite/hypothenus

That is

Sin Ø = AB / AC

Where Ø = 62 degree

Substitute Ø and length AB into the formula

Sin 62 = 10/ AC

AC = 10/ sin 62

AC = 10/ 0.8829

AC = 11. 33 feet.

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Ineed to write 4y =-3x + 12 in standard form, find the y-intercept of the previous equation, as an ordered pair, and find the x-intercept of the previous equation, but i forgot how. i need the answer asap! you!

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