Answer:
3y + 2x = 5
Step-by-step explanation:
3x-2y = -2
2y = 3x + 2
y = (3/2)x + 1
Slope is 3/2
Slope of the Perpendicular line is -2/3
y = (-2/3)x + c
x = -2 , y = 3
3 = (-2/3)(-2) + c
3 = 4/3 + c
c = 3 - 4/3 = 5/3
y = (-2/3)x + 5/3
3y = -2x + 5
3y + 2x = 5
Answer:
Question 1: RS=47
Question 2: x=6
Step-by-step explanation:
Question 1:
Step 1: 3x+5=2x+15+6x-37
Step 2: 3x+5=8x-22/2
Step 3: 3x+5=4x-11
Step 4: x=16
Step 5: 2(16)+15=32+15=47
<u>RS= 47</u>
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Question 2:
Step 1: 7x+2+25x-14=180
Step 2: 32x-12=180
Step 3: 32x=192 (divide 32 from each side)
<u>x=6</u>
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Answer:
<u>x = 466.7 feet</u>
Step-by-step explanation:
Finding the top angle of the triangle :
- They are complementary
- 90° - 31°
- 59°
Take the tan value of this angle to find y :
- tan 59° = 400/y
- 1.66427948 =400/y
- y = 400 / 1.66427948
- y = 240.344248
Using Pythagorean Theorem to find x :
- y² + 400² = x²
- x = √(240.344248)² + 160000
- x = √57765.3575 + 160000
- x = √217765.357
- <u>x = 466.7 feet</u> (nearest tenth)
Answer:
x = 54
Step-by-step explanation:
2x+2 = 3x-52
2x+54 = 3x
54 = x
Answer:
D all real numbers and B
Step-by-step explanation:
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