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Juli2301 [7.4K]
3 years ago
11

What is the slope of a line through the points (-4, 6) and (4,-2)​

Mathematics
1 answer:
Ugo [173]3 years ago
7 0
(-2-6)/(4+4)= -8/8= -1 is the slope

y + 6 = -1(x + 4)

y + 6 = -x - 4

y = -x - 10
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A submarine dives 300 feet every 2 minutes, and 6,750 feet every 45 minutes. Solve for A and
Gelneren [198K]
A: To find the rate in feet per minute, we can use the information given. 
Every two minutes, the submarine dives 300 feet. So 
\frac{300feet}{2minutes} = 150 \frac{feet}{minute} .
In order to confirm that our rate is correct, we can use the second set of information given.
\frac{6750feet}{45minutes}=150 \frac{feet}{minute}.
Since we know that the rate is 150 feet per minute, we can multiply it by any number of minutes and get the answer of how deep the submarine is. We can use a variable x to represent the number of minutes and y to represent the depth in feet.
y=150x
There's our equation.
B: It would be more reasonable to use an equation with the rate feet per minute because it is more accurate since the time interval isn't too big.
3 0
3 years ago
-6x+y=-2<br>x-3y=9 what is the solution set?
Anarel [89]
Mult. the 2nd eqn by 6 and then add this "new" equation to the 1st given eqn:

 -6x + y = -2
  6x -18y = 54
--------------------
        -17y = 52, or y = -52/17.  Subst. this value of y into either equation to find the value of x.
3 0
3 years ago
X+y+z=1
andrezito [222]

Answer: x = 0

y = 2

z = -1

Step-by-step explanation:

The system of equations are

x+y+z=1 - - - - - - - - - - 1

-2x+4y+6z=2 - - - - - - - - - 2

-x+3y-5z=11 - - - - - - - - - 3

Step 1

We would eliminate x by adding equation 1 to equation 3. It becomes

4y -4z = 12 - - - - - - - - - 4

Step 2

We would multiply equation 1 by 2. It becomes

2x + 2y + 2z = 2 - - - - - - - - - 5

We would add equation 2 and equation 5. It becomes

6y + 8z = 4 - - - - - - - - - 6

Step 3

We would multiply equation 4 by 6 and equation 6 by 4. It becomes

24y - 24z = 72 - - - - - - - - 7

24y + 32z = 16 - - - - - - - - 8

We would subtract equation 8 from equation 7. It becomes

-56z = 56

z = -56/56 = -1

Substituting z = -1 into 7, it becomes

24y - 24×-1 = 72

24y + 24 = 72

24y = 72 - 24 = 48

y = 48/24 = 2

Substituting y = 2 and z = -1 into equation 1, it becomes

x + 2 - 1 = 1

x = 1 - 1 = 0

4 0
3 years ago
A group of fitness club members lose a combined total of 28 kilograms in 1 week. There are approximately 2.2 pounds in 1 kilogra
marissa [1.9K]

Answer: 12.32 for 5 day week or 8.8 for a seven day week

Step-by-step explanation:

2.2 x 28 = 61.6

61.6 divided by 5 is 12.32

divide by seven if its a full week and the answer is 8.8

7 0
3 years ago
A percent measures a rate
PtichkaEL [24]




Per 1,000 units the last one
6 0
3 years ago
Read 2 more answers
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