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Sladkaya [172]
3 years ago
8

Can someone help me with 16 and 20? If you’re supposed to write a contrapositive and inverse, but the word not is already in the

statement, what do you do?

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
4 0
Since 2 'not's cancel out, 16's contrapositive is 'If the light will go on, then the fuse has not blown'. In addition, the inverse would be 'If the fuse has not blown, then the light will go on'. I challenge you to do 20 using this information!
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Read 2 more answers
WILL MARK BRAINLIEST!!
NikAS [45]

Answer:

3.58

Step-by-step explanation:

Given :

y = 2x + 4 -------- eq1

y = 2x - 4 -------- eq2

sanity check : both equations have same slope, so we can conclude that they are both parallel to one another.

Step 1: consider equation 1, pick any random x-value and find they corresponding y-value. we pick x = -2

This gives us y = 2(-2) + 4 = 0

Hence we get a point (x,y) = (-2,0)

Step 2: express equation 2 in general form (i.e Ax + By + C = 0)

y = 2x-4 -------rearrange---> 2x - y -4 = 0

Comparing with the general form, we get A = 2, B = -1, C = -4

Recall that the distance between 2 parallel lines is given by the attached formula (see attached picture).

substituting the values for A, B, C and (x, y) from the previous step:

d = | (2)(-2) + (-1)(0) + (-4) |  / √(2² + (-1)²)

d = | -4 + 0 - 4 |  / √(4 + 1)

d = | -8 |  / √5

d = 8  / √5

d = 3.5777

d = 3.58 (rounded 2 dec. pl)

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