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Evgesh-ka [11]
2 years ago
15

determine whether AB and CD are parallel, perpendicular,or neither. A(-1,-4), B(2,11), C(1,1), D(4,10)

Mathematics
1 answer:
sergiy2304 [10]2 years ago
3 0

Step-by-step explanation:

the x distance from A to B is 3 (from -1 to 2), and the y distance is 15 (from -4 to 11).

the x distance from C to D is also 3 (from 1 to 4), but the y distance is 9 (from 1 to 10).

so, the slopes are different

AB : 15/3 = 5

CD : 9/3 = 3

and the lines are therefore not parallel.

perpendicular slopes are simply inverting y and x in the ratio and flip the sign (from - to + and vice versa). but that is not the case here either (just to start - both slopes are positive).

so, the 2 lines are "neither".

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Simple math but I can't seem to understand it: x+y=2 becomes y=2-x, in order to find slope and y intercept y=mx+b The result bec
IgorLugansk [536]

Answer:

See below.

Step-by-step explanation:

So we started off with the equation:

x+y=2

And we subtracted x from both sides to acquire:

y=2-x

Now, this is essentially slope-intercept form. Recall that the slope-intercept form is:

y=mx+b

Where m is the slope and b is the y-intercept.

If we rearrange our equation:

y=2-x\\y=-x+2

And put some parentheses:

y=(-1)x+(2)

We can see that this is indeed slope-intercept form.

And we can see that m is -1 and b is 2.

In other words, the slope is -1 and the y-intercept is 2.

3 0
4 years ago
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The sum of a number x and 5 equals 14.
Fudgin [204]
Sum means addition so the equation is x+5=14

To get the answer, just do 14-5 and the answer is 9
4 0
3 years ago
Elsa runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?
charle [14.2K]

Heather runs 7 miles in 80 minutes.

At the same rate, how many miles would she run in 64 minutes?

Let x represent miles would she run in 64 minutes?

Question Sets Up the Proportion

7/80= x/63    |Cross Multiplying to solve for x

     x = 7*64/80

     x = 5.6mi

Hope this helps!

7 0
3 years ago
Elaine opens a checking account with a deposit of $20.00 and wants to put the same amount of money
Snowcat [4.5K]

Answer: 200 = m x 10 + 20

Step-by-step explanation:

She wants a balance of 200 with the same amount of money (m) going into the account for 10 weeks plus the amount she began with

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3 years ago
There are 4 white and 5 red (indistinguishable) balls in a bag. Suppose you draw one ballout at a time without replacement and s
Alchen [17]

Answer:

5/9

Step-by-step explanation:

What we have in this question are four white balls and 5 red balls.

This is the sample space

[(4w,0R) (4w,1R)(4w,2R)(4w,3R)(4w,4R)(0w,5R)(1w,5R)(2w,5R)

So we have 9 possible sets of events

The event number with the last ball being white = 5

Probability of the last ball drawn being white = 5/9

= 0.56

5 0
3 years ago
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