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viktelen [127]
3 years ago
7

Can someone tell me the answer to this question

Mathematics
1 answer:
Firdavs [7]3 years ago
5 0

If these two lines are parallel, they would have the same gradient.

Since Gradient = Rise / Run,

8 / -12 : -4 / 1

These two ratios are obviously not the same, so we can conclude the lines are not parallel.

You might be interested in
What are 3 ratios that are equivalent to 8 :5
Andrei [34K]

Answer:

Step-by-step explanation:

8/5 = 16/10 = 24/15

8:5 = 16:10 = 24:15

8 0
3 years ago
Please help me with this
tester [92]

Answer:

(3,1) and (0,2)

Step-by-step explanation:

6 0
3 years ago
Use the method of Gauss to find the sum.1+2+3+.....+400
nikklg [1K]
Gauss' method for addition relies on the fact that you can 'pair' certain numbers together. Look at the example:

1+2+3+4+5+6+7+8+9+10

We could manually add all these together from left to right but a clever way to think about this is if we add together the ends of the sum (10+1) we get 11. If we then move one in from the ends and add these (2+9) we also get 11. This means that 1+2+...+9+10 is the same as 11+11+...+11+11.

Because each 2 numbers adds to 11 we know the total number of 11's we have to add together is the length of the sum divided by 2. In our case 5 (10 ÷ 2). We need to add 5 lots of 11 to get our answer. This is the same as 11 × 5 which is easily seen to be 55.

(If you add the 10 numbers together on a calculator you'll see 1+2+3+4+5+6+7+8+9+10 = 55) so this method really makes it a lot quicker.

Looking at your sequence, if we pair the ends together we get 401 (400+1) and we multiply this by the length of the sequence divided by 2. In your case, 200 (400 ÷ 2).

So the sum of all the numbers from 1 to 400 must be 401 × 200 = 80,200.

Remember the steps:
1. Pair the ends together and add them
2. Times this number by the length of the sequence halved

Hope this helps.
6 0
3 years ago
I don’t really understand this type of stuff so please help.
ohaa [14]

For 1 and 2, you plot both lines, and wherever they intersect is the solution to the system. Given the equation of a line, I think the easiest way to plot it is to find two points on the line, then draw a line through them. For example, if y=5x-1, then when x=0, you get y=-1; when x=1, you get y=4. So plot the points (0, -1) and (1, 4), then strike a line through.

1. Notice that dividing both sides of 2y=10x-2 by 2 returns y=5x-1, same as the first equation. So the system of equations reduces to one equation, which can have an infinite number of solutions. (This is because for any choice of x or y, you can always find a corresponding value for the other variable.)

2. See attached image. 3x-y=2 is given by the purple line.

For 3-6, you have several options. The two simplest methods of solving them are by substitution or elimination.

3. Like with (1), notice that dividing both sides of the first equation by 2 gives x+3y=9, so there will be an infinite number of solutions.

4. (by substitution) Since y=-7x+3, we can replace y in the second equation:

-7x+3+7x=10\implies3=10

but this is false, so there are no solutions to this system.

5. (by substitution) Since x=2y+2, in the first equation we have

-5(2y+2)+3y=-10y-10+3y=-7y-10=11\implies-7y=21\implies y=-3

Then back in the second equation we find

x=2(-3)+2=-6+2=-4

So (-4, -3) is the only solution here.

6. (by substitution) Notice that the left hand sides of both equations are the same, so we end up with 7 = 12, but this is false, so no solution exists.

5 0
3 years ago
5/8 - 3/10 <br> A. 13/40 <br> B. 1/20 <br> C. 1/4<br> D. 1/5
densk [106]

5/8 - 3/10

Find the common denominator:

Multiples of 8:  8, 16, 24, 32, 40 (8 x 5 = 40)

Multiples of 10: 10, 20, 30, 40  (10 x 4 = 40)


5/8 = 5*5 / 8*5 = 25/40

3/10 = 3*4 / 10 *4 = 12/40


Now you have 25/40 - 12/40

25 -12 = 13

Answer = 13/40


The answer is A.

7 0
2 years ago
Read 2 more answers
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