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2 years ago

Solve the equation.(Y-9)-(y+2)=4y

Mathematics

2 answers:

Gemiola [76]2 years ago

7 0

Exact form:
Y = -11/4
Decimal form: Y=-2.75

Marina86 [1]2 years ago

3 0

Answer:

-11/4

Step-by-step explanation:

-11=4y

-11+11=4y+11

0=4y+11

0-4y=4y+11-4y

-4y=11

-4y/-4=11/-4

y=-11/4

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How many triangles and quadrilaterals altogether can be formed using the vertices of a 7-sided regular polygon?

MAVERICK [17]

Answer: The correct option is

(E) 70.

Step-by-step explanation: We are given to find the number of triangles and quadrilaterals altogether that can be formed using the vertices of a 7-sided regular polygon.

To form a triangle, we need any 3 vertices of the 7-sided regular polygon. So, the number of triangles that can be formed is

$n_t=^7C_3=\dfrac{7!}{3!(7-3)!}=\dfrac{7\times6\times5\times4!}{3\times2\times1\times4!}=35.$

Also, to form a quadrilateral, we need any 4 vertices of the 7-sided regular polygon. So, the number of quadrilateral that can be formed is

$n_q=^7C_4=\dfrac{7!}{4!(7-4)!}=\dfrac{7\times6\times5\times4!}{4!\times3\times2\times1}=35.$

Therefore, the total number of triangles and quadrilaterals is

$n=n_t+n_q=35+35=70.$

Thus, option (E) is CORRECT.

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Yuri [45]

Answer:

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Step-by-step explanation:

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2 years ago

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Zigmanuir [339]

Francis spent $19 and Hector spent $28.50

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3 years ago

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Solve this trigonometry question, please by an easy method.

podryga [215]

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And

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1 year ago

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A large high school offers AP Statistics and AP Calculus Among the seniors in this school 65% take AP Statistics, 45% take AP Ca

Igoryamba

Answer:

0.8

Step-by-step explanation:

P(AP statistics) = 65%

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P(AUB) = p(A) + p(B) - p(AnB)

P(AP statistics U AP Calculus) = P(AP statistics) + P(AP Calculus) - P(AP statistics n AP Calculus)

= 0.65 + 0.45 - 0.30

= 0.8

= 80%

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2 years ago