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vampirchik [111]
2 years ago
15

Find the slope of the line between y = 1/8x -1

Mathematics
1 answer:
I am Lyosha [343]2 years ago
7 0

Answer:

x/8 -1

Step-by-step explanation:

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What are the center and the radius of a circle with the equation (x + 5)² + (y - 4)² = 81
Alexeev081 [22]

Step-by-step explanation:

We know that if the equation of the circle is (x-h)^2 + (y-k)^2 = r^2, it has a center of (h,k) and a radius of r.

Matching this up with the given equation, we get the center is (-5, 4) and the radius is 9.

6 0
2 years ago
Use the graph to estimate the height of a jugglers ball that has been in the air for 1.5 seconds
strojnjashka [21]

Answer:

The height of a jugglers ball that has been in the air for 1.5 seconds is 6.5 feet

Step-by-step explanation:

we are given height equation as

h=-16t^2+25t+5

where

h is the height in feet of a Juggler's ball after t seconds

now, we can plug t=1.5

h=-16(1.5)^2+25(1.5)+5

we can solve for h

h=42.5-16\cdot \:1.5^2

h=42.5-36

h=6.5

So,

The height of a jugglers ball that has been in the air for 1.5 seconds is 6.5 feet

5 0
3 years ago
how many different combinations are possible if four itemsare drawn from a group of seven different items
laiz [17]
You would just do 4 x 7, which means there are 28 combinations.
7 0
3 years ago
a colleague needs to move a 500 pound object that's on a lever. the fulcrum is 6 inches from the object. If your colleague weigh
Dafna11 [192]

Answer:

Step-by-step explanation:

The easier way to figure this is by using the concept of torque in physics. If the torque of the man is greater than that experienced by the box, the lever will tilt in the man's favor (in other words, he will move down and the box will be lifted). Torque is found by multiplying the perpendicular force by the length of the lever arm. Because we want the man's torque to be greater than the box's torque, the inequality is:

\tau_{man}>\tau_{box} and

180r>500(.1524) That decimal is 6 inches in terms of meters.

180r > 76.2 so

r > .42 meters or `16.67 inches. The man has to sit at a distance greater than 16.67 inches in order for the box to be lifted by the lever.

6 0
2 years ago
How to solve 6x + y= -5, -6x + 12y=96 using elimination and does it have no solution or many solutions?
Alika [10]

Answer:

x = -2

Step-by-step explanation:

Arrange 6x + y= -5, -6x + 12y=96 vertically:

6x + y= -5

-6x + 12y=96       Now combine like terms:

--------------------

       13y = 91

Solving for y by dividing both sides by 13:  y = 7

Find x by substituting 7 for y in the second equation:  -6x + 12(7) = 96

Then -6x = -84 + 96, or:

-6x = 12, and so x = -2

8 0
2 years ago
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