I thought this was a vector problem but no, this is quite easy!
You are correct; this draws the letter W.
The so-called "vector" means for you to translate the same distance. That vector goes left 3 and up 4 -- translate your point at Step 2 left 3 units and up 4 units. There you go!
A is the answer, because 3/5=.60 and 37.5/62.5=60
The answer is 36°.
Complementary angles are those angles whose sum is 90°.
Let angles be x and y.
x + y = 90°
x : y = 2 : 3
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3 * x = 2 * y
3x = 2y
x + y = 90°
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x = 2/3*y
x + y = 90°
2/3y + y = 90°
2/3y + 3/3y = 90°
5/3y = 90°
5y = 90° * 3
5y = 270°
y = 54°
x + 54° = 90°
x = 90° - 54°
x = 36°
The smaller angle is 36°
Y = -4x - 5.....(0,?)...so we know x = 0, so sub in 0 for x and solve for y
y = -4(0) - 5
y = -5....so one point is (0,-5)
do the same for the other points and u get (1,-9) , (-1,-1)
y = -4x - 5.....slope is -4 and ur y int (where ur line crosses the y axes) is (0,-5).
to find the x int (where the line crosses the x axes), sub in 0 for y and solve for x.
0 = -4x - 5
4x = -5
x = -5/4.....or - 1 1/4(for graphing purposes)...x int is (-5/4,0)
so plot all ur points and connect the dots
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4x + 9y = 0...(-9,?)..so x = -9..so sub in -9 for x and solve for y
4(-9) + 9y = 0
-36 + 9y = 0
9y = 36
y = 36/9
y = 4...so ur point is (-9,4)
do the same for the others and ur points are : (0,0) , (9,-4)
4x + 9y = 0
9y = -4x....so ur slope is -4 and ur y int is (0,0)
ur x int is : (0,0)....so basically u have a line going through the origin (0,0)
plot all ur points and connect the dots
Answer: x > 3
Step-by-step explanation:
In order to find x, we must isolate it first.
Add one to both sides. It's now 4x < 12.
Now we divide both sides by 4, remember that every time we divide or multiply we must flip the inequality symbol.
The final answer is x > 3
