Mathematics, 14.01.2020 22:31 kl8774

Find the values of x and y that satisfy the equation. 3x+6i=27+yi

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Simplifying 3x + -6i = 27 + yi Reorder the terms: -6i + 3x = 27 + yi Solving -6i + 3x = 27 + iy Solving for variable 'i'. Move all terms containing i to the left, all other terms to the right. Add '-1iy' to each side of the equation. -6i + -1iy + 3x = 27 + iy + -1iy Combine like terms: iy + -1iy = 0 -6i + -1iy + 3x = 27 + 0 -6i + -1iy + 3x = 27 Add '-3x' to each side of the equation. -6i + -1iy + 3x + -3x = 27 + -3x Combine like terms: 3x + -3x = 0 -6i + -1iy + 0 = 27 + -3x -6i + -1iy = 27 + -3x Reorder the terms: -27 + -6i + -1iy + 3x = 27 + -3x + -27 + 3x Reorder the terms: -27 + -6i + -1iy + 3x = 27 + -27 + -3x + 3x Combine like terms: 27 + -27 = 0 -27 + -6i + -1iy + 3x = 0 + -3x + 3x -27 + -6i + -1iy + 3x = -3x + 3x Combine like terms: -3x + 3x = 0 -27 + -6i + -1iy + 3x = 0 The solution to this equation could not be determined.

Answer from: Quest

pentagon

step-by-step explanation:

the coordinates a(5, -2), b(3,-1),c(-4,-4) d(-3,8) and e(-1,4) forms the vertices of the polygon when they are connected in order.

in order to classify that which polygon is it with the given coordinates, first count the number of vertices and then count the number of sides it can make with these vertices.

since, the given coordinates have five vertices, therefore, it will make five sides. moreover, pentagon is regular in nature therefore it will be convex.

now, a polygon with five sides is known as pentagon, therefore, the given polygon is the pentagon.

Answer from: Quest

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

$\tan\left(x\right)=\frac{\left[altitude\right]}{\left[base\right]}=\frac{p}{r}$

$\tan\left(x\right)=\frac{p}{r}$

$\frac{p}{r}=tan(x)$

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

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