Mathematics, 16.07.2019 05:30 ihatemath143

The endpoints of jk are j(–25, 10) and k(5, –20). what is the y-coordinate of point l, which divides jk into a 7: 3 ratio

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Answer from: cecialva

We are looking the coordinate that divides that segment into a 7/3 ratio. If we are dividing that segment and looking for a particular coordinate, we must first divide the segment into 7+3 segmments, or 10 equal length segments. When we plot point L on the segment in a 7/3 ratio, notice that L is 7/10 of the way from J to K. That ratio is k, found by writing the numerator of our ratio over the sum of the numerator and denominator. Our k then is 7 over 7+3, so k = 7/10. Now we will find the rise and the run (aka the slope) of the line. $m= \frac{-20-10}{5-(-25)} = \frac{-30}{30}$ . We have a rise value of -30 and a run value of 30. The point L's coordinate are found in this formula: $(x,y)=( x_{1}+k(run), y_{1} +k(rise))$ . x1 and y1 are found in the first coordinate, point J (-25, 10). Filling in accordingly, we have $(x,y)=(-25+ \frac{7}{10}(30),10+ \frac{7}{10}(-30))$ which simplifies to (x,y)=(-25+21,10-21)

. Those coordinates then of L are (-4, -11)

Answer from: Quest

something that characterises a right triangle is the fact that we may use pythagoras' theorem to find any one of its sides given that we have the length of the other two sides. here, we have the length of the hypotenuse, √(87) yd, and one other side, √(23) yd, thus we can easily find the length of the remaining side using pythagoras' theorem as defined below:

c^2 = a^2 + b^2, where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

thus, given that c = √(87) and a = √(23), we may substitute these into the formula we defined above to get:

c^2 = a^2 + b^2

(√87)^2 = (√23)^2 + b^2 (substitute c = √87 and a = √23 into the equation)

87 = 23 + b^2 (evaluate (√87)^2 = 87 and (√23)^2 = 23 - remember that the square root of a number, squared will equal that very same number)

64 = b^2 (subtract 23 from both sides)

√64 = b (take the square root of both sides)

8 = b (evaluate √64 = 8)

therefor, the length of the unknown leg in the right triangle is 8 yd (first answer).

What is the length of the unknown leg in the right triangle ?

Answer from: Quest

answer: get jesus in your life

step-by-step explanation:

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The endpoints of jk are j(–25, 10) and k(5, –20). what is the y-coordinate of point l, which divides...