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ArbitrLikvidat [17]
3 years ago
10

Add Linear Expressions. (4x - 1) + (-5x + 17)

Mathematics
1 answer:
dezoksy [38]3 years ago
6 0
<span>(4x - 1) + (-5x + 17)
=4x-1-5x+17
= -x +16</span>
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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.

8 0
3 years ago
Is (0,0) a solution to this system? y ≥ x^2 + x - 4, y&gt; x^2 + 2x + 1
Ipatiy [6.2K]
Y≥x²+x-4
y>x²+2x+1

Substitute (0,0):

0≥-4 true
0>1 false

(0,0) is not a solution of the system.
3 0
3 years ago
Read 2 more answers
Plzzzzzzzzzz helpppppppp
Minchanka [31]

Answer:

i'd say do it with division what equals 31? im not going to say the staright up answer

]

7 0
2 years ago
1 Which type of data is best represented using a line plot?
irakobra [83]

Answer:

#1) D frequency data that can be plotted on a number line ; #2) A Sarah read twice as many chapters Wednesday as Monday, C Sarah read more than four chapters on two days, F Sarah read at least three chapters on four days, and H The total number of chapters Sarah read on the weekend was the same as the total number she read on the weekdays.

Step-by-step explanation:

#1) A line plot shows the frequencies of data.  It is displayed over a number line; this makes the best choice for the answer "frequency data that can be plotted on a number line."

#2) We can see that Sarah read 2 chapters on Wednesday and 1 chapter on Monday.  This is twice as many chapters.

She read more than 4 chapters on both Saturday and Sunday.

She read 3 or more chapters on Tuesday, Friday, Saturday and Sunday.

The total number of chapters she read on the weekend was 5+6 = 11.  The total number of chapters she read on the weekdays was 1+3+2+2+3 = 11.  These are the same.

4 0
3 years ago
Read 2 more answers
How to do foils in algebra
Leno4ka [110]
Foils stands for first, outer, inner, last.

For example:

(3x + 5)(2x + 3)

Multiply the firsts together.

3x * 2x = 5x²

Now multiply the outer together.

3x * 3 = 9x

Now multiply the inners.

5 * 2x = 10x

Now multiply the lasts.

5 * 3 = 15

so the answer would be:

5x² + 9x + 10x + 15
5x² + 19x + 15


Hope this helps :)

8 0
3 years ago
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