Answer:
20<
Step-by-step explanation:
<h3>Answer: QS is 37 units long</h3>
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Explanation:
PN = 24 and NR = 14 are pieces of the chord PR. The two pieces multiply to some value. At the same time, the other two pieces QN = 21 and NS = 2x-4 also multiply to that same value. In short, the chord pieces multiply to the same number. This is known as the intersecting chord theorem.
PN*NR = QN*NS
24*14 = 21*(2x-4)
336 = 42x-84
336+84 = 42x-84+84 .... add 84 to both sides
420 = 42x
42x = 420
42x/42 = 420/42 ...... divide both sides by 42
x = 10
We know that x = 10 so we can use it to find the length of NS
NS = 2x-4
NS = 2*10-4
NS = 20-4
NS = 16
Therefore,
QS = QN + NS
QS = 21 + 16
QS = 37
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note: as a check,
PN*NR = QN*NS
24*14 = 21*16
336 = 336
we get a true equation, so we have the proper values
Answer:
(9, 6)
Step-by-step explanation:
the given points are
(3, 2)
(6, 4)
so, can you see, how the sequence continues ?
I see immediately that for every 3 additional units of x we add 2 units of y.
so, yes, the next point in the sequence is
(6 + 3, 4 + 2) = (9, 6).
so, this point (or ordered pair) follows the same ratio or proportional relationship between x and y as the points already in the graph.
in other words, they are on the same line following the same slope ("y coordinate change / x coordinate change" when going from one point on the line to another).
Answer:
x = -8
y = 7
Step-by-step explanation:
5x + 7y = 9
2x - 3y = -37
1.) First, multiply each side to match either y-values or x-values. (In this example, we'll use match x-values)
10x + 14y = 18 (multiplied by 2)
10x - 15y = -185 (multiplied by 5)
2.) Then, subtract the entirety of one equation to isolate the y-value.
10x + 14y = 18
-10x + 15y = 185
3.) Add and subtract values and divide to find y.
29y = 203
y = 7
4.) Plug-in y to solve for x into one equation, or repeat steps 1-3.
15x + 21y = 27
14x - 21y = -259
29x = -232
x = -8
Answer:
I dont even want to answer this cause I know its a joke
Step-by-step explanation:
5+5=10
