4y = 3x + 18
Step-by-step explanation:
NOTE THAT A line that is perpendicular to another has a negative inverse of the slope of the other line. The products of their slopes, that is, is always -1
Therefore we can begin by finding the slope of this line defined by the function 4x+3y=9
3y = -4x + 9
y = -4/3 x + 9/3
y = -4/3 x + 3
The slope of the perpendicular line is, therefore;
¾ - this is the negative inverse of -4/3
Now that we know the slope, we need to find the y-intercept. This is where x = 0 and the line meets the y-axis;
i.e (0, y)
The other given point, where the line crosses is (-2, 3). Remember that to get the gradient we use the formula;
Gradient = Δ y / Δ x
¾ = (3 – y) / (-2 – 0)
¾ = (3 –y) / -2
¾ * -2 = 3 – y
-3/2 = 3 – y
-3/2 – 3 = -y
9/2 = y ←– This is the y-intercept
Remember the function of a straight line is given;
y = mx + c (m being slope and c being y-intercept)
y = 3/4 x + 9/2
4y = 3x + 18
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Answer:
y = -1, x = -2
Step-by-step explanation:
First, multiply the top equation by 2 to make 3x become 6x:
6x - 8y = -4
Second, multiply the bottom equation by 3 to make -2x become -6x:
9y - 6x = 3
Add the two equations together, and you get:
y = -1
Plug in y as -1 into the first or second equation:
3x - 4(-1) = -2
OR
3(-1) - 2x = 1
x = -2
36 miles. Call <span>Fort Collins point F, Cheyenne, point C, and Laramie point L. We know that angle F=46.5 degrees, angle L=43.6 degrees, and FC=3.2 inches. </span>Use the law of sines, sinF/LC=sinL/FC, LC=sin46.5*3.2/sin43.6=2.32/0.69=3.36 inches. Since one inch represents 10.6 miles, 3.36 inches is 36 miles, the distance from L to C.
A rhombus is related to a “Parallelogram”
Why? - because it fulfills the requirements of a parallelogram: a quadrilateral with two pairs of parallel sides. It goes above and beyond that to also have four equal-length sides, but it is still a type of parallelogram.
hope this helped <3
Answer:
y= 29
step by step explanation:
y= 6 x 2 + 17
y= 12+17
y= 29
