Answer:
(-3, -3)
Step-by-step explanation:
1.) Rewrite the second equation so 3y is on one side of the equation:
3y=6+5x
2.) Substitute the given value of 3y (replacing 3y with 6+5x, since we know they equal each other) into the equation 17x=-60-3y
Should end up with this:
17x=-60-(6+5x)
3.) Solve 17x=-60-(6+5x)
Calculate Difference: 17x=-66-5x
Combine Like Terms: 22x = -66
Divided both sides by 22 to isolate and solve for x: -3
So We know x=-3, now we got to find the y value. We can use either the first or second equation to find y value, so lets use the second.
3y=6+5x
1.) We know that x=-3, so we can simply substitute x in the equation
3y=6+5x with -3
3y=6+5(-3)
2.) Solve 3y=6+5(-3)
Combine Like Term: 3y=6+-15
Combine Like Term Even More: 3y= -9
Divide by 3 on both sides to isolate and solve for y: y=-3
So now we know y=-3 and once again we know x=-3, so if we format that
(-3,-3)
^ ^
x y
Answer:
v = -7.5
Step-by-step explanation:
Step 1: Subtract 3v from both sides.
v-17 − 3v = 3v−2 −3v
−2v−17=−2
Step 2: Add 17 to both sides.
−2v−17+17=−2+17
−2v=15
Step 3: Divide both sides by -2.
-2v/2 = 15/2
v = -15/2
v = -7.5
Hope this helps!
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There would be 41 1/4 turns in 2 1/2 inches of threads.
Given, number of turns a bolt has = 16 1/2 turns per inch.
per inch bolt turns = 16 1/2 =33/2
how many turns would be there in 2 1/2 inches of threads = ?
Threads Per Inch, or TPI, is a measure of how many threads are found in one inch along a fastener's length. American fasteners are the only ones that employ TPI. Typically, the thread count is higher for smaller fasteners since they have finer threads. Just as the name implies, the Threads Per Inch (TPI) refers to the number of threads that run the length of a screw for one inch. The TPI of a screw can be easily calculated by simply counting the threads and dividing the total length.
so, 5/2 inches bolt turns =33/2 x 5/2
=165/4
hence 41 1/4 turns
Therefore, 2 1/2 inches of threads have 41 1/2 turns.
Learn more about Conversions here:
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The ratio of 2:9 has to be 2:9 do to the fact you can't simplify the fraction 2/9.
Hoped I helped.
For (-7,3) and (5,3) the answer is 12. You add the different points, -7 and 5 because one is negative and one is positive. You do not add 3 and 3 because they are the same.
(3,-6) and (3,-10) = 4 because -6 and -10 are negatives. The answer is always positive.
(8,0) and (8,-8) = 8.