Answer: 4. (-1,-1) 3. (3,-2)
4)
Set the equations equal to each other.
4x+3=-x-2
Subtract 3 from both sides
4x=-x-5
Add x to both sides
5x=-5
Divide both sides by 5
x=-1
Next, replace x with -1 in either equation to find y.
-(-1)-2=y
-1=y
3)
Do the same thing for this one and set them equal to each other
-2x+4=-1/3x-1
Add 1 to both sides
-2x+5=-1/3x
Add 2x to both sides
5=5/3x
Divide both sides by 5/3
x=3
Next, replace x with 3 in either equation
-2(3)+4=y
-2=y
Opposite angles formed by two intersecting lines are equal, so angle 1 is the same as angle 4. That means angle 1 = angle 5 as well.
<span>When a line intersects two parallel lines, the corresponding angles are equal. That is, if r and s are parallel, then the angles formed when l intersects r are the same s the angles formed when l intersects s. Angle 1 = Angle 5, Angle 2 = Angle 6, and so forth. Since we know angle 1 = angle 5, so from that you can see that r and s are parallel</span>
4,153+2,988
-12 +12
4,141+3,000
3,000+4,000=7,000
7,000+141=7,141
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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To solve we have the following equation below,
Assumption: Line of reference is the surface of the water.
Final distance between Jana & fishing line = (dock height) +(reels out) -(reels back)
Final distance between Jana & fishing line = 10 + 35+ 29 - 7 = 67 feet
<em> ANSWER: 67 feet</em>
