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Softa [21]
3 years ago
9

Find the slope of the line that passes through the points (2,-5) and (7,1)

Mathematics
1 answer:
Inessa05 [86]3 years ago
4 0
Slope is y2-y1/x2-x1
(2,-5) can be your x1 and y1
(7,1) can be your x2 and y2
1-(-5)/7-2
1+5/5
6/5
The slope of the line is 6/5
Hope I helped!
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El doble de un número aumentado la mitad del mismo número
djverab [1.8K]

Answer:

Double a number increased by half the same number

Step-by-step explanation:

7 0
3 years ago
13. The least common multiple of two non-zero integers a and b is the unique positive integer m such that (i) m is a common mult
Vlad [161]

Answer:

[a,b] divides n

Step-by-step explanation:

Let us denote the least common multiple of a and b [a,b]=m.

We want to prove that m divides n, where n is a multiple of a and b.

We suppose m does not divide n, then by the Division Theorem, there exists q and r integers such that:

(1) ... n=mq+r, where 0<r<m

As n is a multiple of a and b, there exists s and t integers such that:

sa=n and tb=n

Same thing happens to m as it is the least common multiple, there exists u and v such that:

ua=m and vb=m

So (1) has the following form:

n=mq+r ⇒ sa=uaq+r ⇒sa-uaq=r⇒(s-uq)a=r and

n=mq+r ⇒ tb=vbq+r ⇒ tb-vbq=r⇒ (t-vq)b=r

So r is a multiple of a and b, but r<m which is a contradiction as, m is the least common multiple of a and b. So this concludes the proof.

So this means that \frac{ab}{m} is and integer.

As m= vb, then \frac{m}{b} is an integer, lets say \frac{m}{b}=v; and as m=ua, then \frac{m}{a}=u.

So \frac{ab}{m}v=\frac{ab}{m}\frac{m}{b}=a, so \frac{ab}{m} divides a; on the other hand, \frac{ab}{m}u=\frac{ab}{m}\frac{m}{a}=b, so \frac{ab}{m} divides b. From this we can conclude that \frac{ab}{m} is a common divisor of a and b.

4 0
3 years ago
A group of hickers buys 8 bags of mixed nuts wash bag contains 3 1/2 cups of mixed nuts. The mixed nuts are shared evenly among
Paul [167]

Answer:

2 1/3 cups

Step-by-step explanation:

The total number of cups of mixed nuts purchased is ...

(8 bags)·(3 1/2 cups/bag) = 8·3.5 cups = 28 cups

When those are shared 12 ways, each share is ...

(28 cups)/(12 shares) = (28/12) cups/share = 2 1/3 cups/share

Each share is 2 1/3 cups.

3 0
3 years ago
Which ordered pair represents the solution to the system of equations? {−5x+7y=−196x−2y=10
k0ka [10]
Answer:
x = 1
y = -2

Explanation:
First, solve for x by subtracting 7y from both sides of the first equation and then divide both sides by -5.

-5x + 7y = -19
-5x + 7y - 7y = -19 - 7y
-5x = -19 - 7y
-5x/ -5 = -19 - 7y/ -5
x = -19 - 7y/ -5

Next, substitute the value of x into the second equation and solve.

6 - (-19 - 7y)/ 5 - 2y = 10
- 6(-19 - 7y)/ 5 - 2y = 10

Then, solve for y

- 6(-19 - 7y)/ 5 - 2y = 10
-6(-19 - 7y) - 10y = 50
114 + 42y - 10y = 50
144 + 32y = 50
32y = 50 - 144
32y = -64
32y/ 32 = -64/ 32
y = -2

Finally, substitute the value of y into the x value we found earlier and solve

x = - 19 - 7y/ 5
x = - 19 - 7 • -2/ 5
x = 1
8 0
3 years ago
terms in a geometric sequence are 16, 20, 25, 31.25, find the value of the 17th term, to the nearest WHOLE number.
Bond [772]

Answer:

568

Explanation:

First you need to make an equation. You need to find the change, in this case it’s 1.25. After, you find that, you make your equation. A(n)=16(1.25)^n-1.

I hope this was helpful

8 0
3 years ago
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