Answer:
As shown in picture, this is an isosceles right triangle ( A = 90 deg, B = C = 45 deg). => Except hypotenuse, side1 = side2, or x = 
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The x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4 is (17, 11)
<h3>Midpoint of coordinate points</h3>
The midpoint of a line is the point that bisects or divides the line into two equal parts
If the line JK is partitioned into the ratio 1:4 with the following coordinates
J(-15, -5) and K(25, 15)
Using the expression below;
M(x, y) =[mx1+nx2/m+n, my1+ny2/m+n]
Substitute the ratio and the coordinates
M(x, y) =[1(-15)+4(25)/4+1, 1(-5)+4(15)/1+4]
M(x, y) = [(85)/5, 55/5]
M(x, y) = (17, 11)
Hence the x- and y- coordinates of point E, which partitions the directed line segment from J to K into a ratio of 1:4 is ((17, 11)
Learn more on midpoint of a line here: brainly.com/question/5566419
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Answer:
y = 5/7x + 5
Step-by-step explanation:
If you replace the x and y in the equation with points x and y of point (35, 30) and change the 10 to b you can solve for b which is the what changes from the original equation to this one.
30 = 5/7(35) + b
30 = 25 + b
5 = b
Since the equations are parallel they have the same slope.
This is the equation for a parallel line that passes through point (35, 30):
y = 5/7x + 5
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Answer:
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Step-by-step explanation:
Given
x² - 10x = - 36
Solve using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 5)x + 25 = - 36 + 25
(x - 5)² = - 11 ( take the square root of both sides )
x - 5 = ± 
( add 5 to both sides )
x = 5 ± i
Thus
x = 5 - i
or x = 5 + i
