Answer:
y=-5/2x+4
Step-by-step explanation:
find the slope by using y2-y1/x2-x1
-1-19/2-(-4)
simplify
-20/8
simplify
-5/2
use slope-intercept form, y=mx+b
since we know the slope, find b
plug in one of the ordered pairs into the equation
-1=(-5/2)(2)+b
simplify
-1= -10/2+b
simplify
-1=-5+b
add 5 to both sides
b=4
plug b into y=-5/2x+b
y=-5/2x+4
Answer:
Question one: Zero slope
Question two:
Step-by-step explanation:
Given the following questions:
<u>Question one:
</u>The following line is what you call a "zero slope." Zero slopes are lines that are neither decreasing or increasing and remain at a constant or just a straight line.
Question two:
Point A = (-2, -3) = (x1, y1)
Point B = (2, -3) = (x2, y2)
Using the formula for slope or rise over run we will solve and find the slope of this line.
The slope of this line is "0/4."
Hope this helps.
Answer:
<h2>16kg</h2>
Step-by-step explanation:
This problem is borers on elasticity of materials.
according to Hooke's law,<em> "provided the elastic limit of an elastic material is not exceeded the the extension e is directly proportional to the applied force."</em>
where F is the applied force in N
k is the spring constant N/m
e is the extension in meters
Given data
mass m= 24kg
extensnion=15cm in meters= =
we can solve for the spring constant k
we also know that the force F = mg
assuming
therefore
We can use this value of k to solve for the mass that will cause an extension of
<span>(7x^4+x+14)/(x+2)
</span>(7x^4+x+14)----------------------|(x+2)
-14x³+x+14-------------------------7x³-14x²+28x-55------> q(x)
28x²+x+14
-55x+14
110+14=124------------------------> r(x)
<span>
</span>r(x)=124
b(x)=x+2
q(x)=7x³-14x²+28x-55
then
q(x) + r(x)/b(x)---------> (7x³-14x²+28x-55)+(124)/(x+2)
the answer is (7x³-14x²+28x-55)+(124)/(x+2)
<h3>
Answer: 3/5</h3>
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Explanation:
The set {1, 2}U{2, 6, 7, 9}U{5, 6, 7} simplifies to {1,2,5,6,7,9} after we combine everything and sort the values. We toss any duplicates.
Let B = {1,2,5,6,7,9}
There are 6 items in set B out of 10 items in set A.
The probability of landing in set B, if you pick something randomly from A, is 6/10 = 3/5