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docker41 [41]
3 years ago
13

If Y - 1 by Y is equal to 9 find y square minus 1 by y square​

Mathematics
1 answer:
Levart [38]3 years ago
6 0

Answer:

(Y-1)Y=9

Y²-y=9

Y²=9+y

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X = 11 when y = 99. If y varies directly as x, find x when y = 144
goldenfox [79]

Answer:

99 is 9 times 11 144 divide by 9 is 16

4 0
3 years ago
Find 2 common angles that sum to (17pi/12) 2. Evaluate tan(17pi/12) using the sum identity for tangent.
Dmitry [639]
Note that
\frac{17 \pi }{12} = \frac{3 \pi }{12} + \frac{14 \pi }{12} = \frac{ \pi }{4} + \frac{7 \pi }{6}

Note that
x= \frac{ \pi }{4}:\,\, sin(x) =cos(x)= \frac{1}{ \sqrt{2} },\,tan(x)=1\\x= \frac{7 \pi }{6} :\,\,sin(x)=- \frac{1}{2} ,\,\,cos(x)=- \frac{ \sqrt{3} }{2} ,\,\,tan(x)= \frac{1}{ \sqrt{3} }

Use the identity
tan(x+y)= \frac{tan(x)+tan(y)}{1-tan(x)tan(y)}

Therefore
tan( \frac{17 \pi }{12} )= \frac{1+ \frac{1}{ \sqrt{3} } }{1- \frac{1}{ \sqrt{3} } } = \frac{ \sqrt{3}+1 }{ \sqrt{3}-1} =  \frac{( \sqrt{3}+1 )^{2}}{( \sqrt{3}-1 )( \sqrt{3}+1 )}  = \frac{3+1+2 \sqrt{3}}{3-1} =2+ \sqrt{3}

Answer: 2 + √3
8 0
3 years ago
Four of the same textbooks contain a total of 848 pages. Which represents the total number of pages, y, of any number of the sam
Brilliant_brown [7]

Answer:

The best option is c

Step-by-step explanation:

The same textbooks contains a total of 848 pages . Which represent the total number of pages , y , of any number of the same textbooks , x.

The number of same text book = x

Each of this textbook contains a total of 848 pages .

The total number of pages can be computed as

y = 848x

for 4 same text book

y = 848 × 4 = 3392 pages

for 3 same text book

y = 848 × 3= 2544 pages

for 7 same text book

y = 848 × 7 = 5936 pages

for 8 same text book

y = 848 × 8 = 6784 pages

for 11 same text book

y = 848 × 11 = 9328 pages

3 0
3 years ago
Read 2 more answers
Write the given numbers in order from what smallest to largest of 6, -9, -12, 8
sasho [114]
-12, -9, 6, 8 because negatives are smaller than positives.
5 0
4 years ago
Read 2 more answers
Hrgrgrgrhheyeyehryryryryrhryryhrhrhrhrududdyryrydy
Mazyrski [523]

Answer True

Step-by-step explanation:

It is true because you are crazy.

5 0
3 years ago
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