7:
Parallel lines have the same slope
y = -3x + b
Plug in the x and y values from the point
5 = -3(-4) + b
5 = 12 + b
-7 = b
Answer to 7: y = -3x -7
8:
Perpendicular lines have opposite reciprocal slopes
y = -2x + b
Plug in x and y from the point
-6 = -2(7) + b
-6 = -14 + b
8 = b
Answer to 8: y = -2x + 8
Answer:
First number = 60 and another number = 48
Step-by-step explanation:
Let two numbers are 5x and 4x.
The two number are differ by 12. We need to find the numbers.
ATQ,
5x-4x = 12
x = 12
Now first number = 5x
= 5(12)
= 60
Other number = 4x
= 4(12)
= 48
Hence, the numbers are 60 and 48.
Answer:
2y^32
Step-by-step explanation:
Since 2^8 = 256, the eighth root of 256 is 2.
Next, we find the power of y by multiplying 256 and 1/8: result is 32.
Complete answer: 2y^32
Your doctor wants you to take 12 tablets per day.
Each tablet is 250 mg, so 4 tablets make 1g.
4 tablets x 3g = 12 tablets a day
Answer:
x = 323 in
Step-by-step explanation:
Given triangles are similar, so their corresponding sides would be in proportion:
3ft = 3*12 = 36 in
5ft 8 in = 5*12 + 8 = 68 in
14 ft 3 in = 14*12 + 3 = 171 in
