Answer:
20
Step-by-step explanation:
if 7 nails are required for each piece of wood, you must determine how much wood you have in total by dividing the amount of nails by 7.
If you have used 40 nails out of sixty, you 20 left because
60-40=20
hey look, I suck at math. your probably better than me. DO NOT GIVE UP!! and if you, well your screwed. what I am trying to say is... never give up if you give up now, someone could steal the dream you had for a long time. don't give up on that dream, you WILL succeed.
Answer:
The given table represents a function f(x) = y = 2x+3
The upper graph
Step-by-step explanation:
We will write the equation of the right line in the explicit (slope) form
y = ax+b
We will take two points from the given table
A(-1,1) and B(0,3) and insert their coordinates in the equation y=ax+b and get
A(-1,1) => 1 = (-1)*a+b => -a+b=1
B(0,3) => 3=0*a+b => 3= 0+b => b=3
Now we will insert b=3 in the equation -a+b=1 and get
-a+3=1 => a=3-1 => a=2
Now we will insert a=2 and b=3 in the equation y=ax+b and get
equation of the function
y = 2x+3 = f(x) The upper graph.
Good luck!!!
Answer: Choice A
The domain is the set {-5, -3, 1, 2, 6} which can be written as {x| x=-5, -3, 1, 2, 6} if you want to make it clear that x is involved with the domain.
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Explanation:
The domain is the set of x values, or the set of inputs, of a function or relation. All you have to do is list off the values in the "input" oval. Those values from top to bottom are: -3, 2, -5, 1, 6. Sort them out from smallest to largest and you get -5, -3, 1, 2, 6 which points us to choice A.
Another route you could go is eliminating choices B, C and D because -9 is not in the "input" oval.
Answer:
2r (1 + √3)
Step-by-step explanation:
Circle O₁ is tangent to AB. Let's call the point of intersection point D. If we draw a radius from the center O₁ to D, we know this forms a right angle.
△ABC is an equilateral triangle, so we know m∠A = 60°. If we draw a line from A to O₁, we know that bisects the angle, so m∠DAO₁ = 30°.
So △DAO₁ is a 30-60-90 triangle. We can find the length AD:
AD = r √3
Now on the other side, circle O₃ is tangent to AB. Let's call the point of intersection point E. We know it's the same triangle we found earlier, so:
EB = r √3
And finally, we can draw a rectangle connecting O₁, O₃, E, and D. The distance between O₁ and O₃ is 2r, so:
DE = 2r.
Therefore:
AB = r√3 + 2r + r√3
AB = 2r√3 + 2r
AB = 2r (1 + √3)
Here's a graph showing the steps. Hopefully this helps, let me know if you have questions!
desmos.com/calculator/hgaonfzxsm
