Set 2x=x²-3 to each other.
Subtract 2x from both sides and get the following
x²-3-2x
Rearranging the formula to make factoring easier, we get
x²-2x-3
Factor and you should get the following:
(x-3)(x+1)
set both equal to 0 and solve for x.
x-3=0⇒x=3
x+1=0⇒x=-1
Now plug both of these values back into one of your original equations to get your y-values. It does not matter which equation you plug your xs back into due to the fact they intersect at the same x, and thus will also intersect at the same y.
For times sake,
y=2x
plug in x=3 and get y=6
plug in x=-1 and get y=-2
Ergo, the equations y=2x and y=x²-3 intersect at
(3,6) and (-1,-2)
Answer:
Resultant force = 70.71067811865 pounds
Step-by-step explanation:
Pythagoras theorem is used to calculate the resultant force since the angles between two wires is 90⁰
Resultant force² = 50² + 50² = 5000
Resultant force = (5000)¹/² = 70.71067811865 pounds
Answer:
11 weeks
Step-by-step explanation:
If we multiply 50 by 11 we get 550 with a remainder of 100, if we're to take out another 50 for another week we would have 50 dollars remanding but the question says that we need to have at least 75 remaining so this will not be possible. Therefor 11 weeks is our answer.
I hope this helps have a great day :)
Step-by-step explanation:
PQR=STV
angPQR=angSTV
angPRQ=angSVQ
Both triangle are similar by AA test
therefore,
PQ/ST=QR/TV
30/ST=36/24
ST=36*30/24
<h3>
ST= 45</h3>
<h2><u>MARK ME AS BRAINLIST</u> </h2>
