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Nitella [24]
3 years ago
8

How many triangles and quadrilaterals altogether can be formed using the vertices of a 7-sided regular polygon?A. 35B. 40C. 50D.

65E. 70
Mathematics
1 answer:
kondaur [170]3 years ago
7 0

Answer:

E) 70

Step-by-step explanation:

Using combination factorial

a triangle has three vertices and a quadrilateral has 4 vertices

The number of triangles and quadrilaterals = ⁷C₃ + ⁷C₄ = \frac{7!}{4!3!} + \frac{7!}{4!3!} = 70

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kicyunya [14]

Answer:

In the explanation. :)

Step-by-step explanation:

Find the exact value using trigonometric identities.

50 , 3  p o i n t

Hope this helps. Have a great day!

6 0
4 years ago
Here is this question im stuck on.
s344n2d4d5 [400]

The polynomial P(x) expressed in the form P(x) = d(x).Q(x) + R(x) is x³ + 8 = (x+2)(x² -2x + 4) + 0

<h3>Dividing polynomials</h3>

From the question, we are to divide the given polynomial P(x) by the divisor d(x)

From the given information,

P(x) = x³ + 8

d(x) = x + 2

The division operation is shown in the attachment below.

The quotient, Q(x) = x² -2x + 4

and the remainder, R(x) = 0

We area to express P(x) in the form

P(x) = d(x).Q(x) + R(x)

Thus, we get

x³ + 8 = (x+2)(x² -2x + 4) + 0

Hence, the polynomial P(x) expressed in the form P(x) = d(x).Q(x) + R(x) is x³ + 8 = (x+2)(x² -2x + 4) + 0

Learn more on Dividing polynomials here: brainly.com/question/27601809

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8 0
2 years ago
Given h(x) = x2 - 2, what is the value of h(-x) ?
insens350 [35]

u just have to flip the signs,

the answer is C

7 0
3 years ago
which second degree polynomial function has a leading coefficent of -1 and a root 4 with multuplicity 2?​
zavuch27 [327]

Answer:

-x^2 + 8x - 16.

Step-by-step explanation:

That would be -1(x - 4)^2.

= -(x^2 - 8x + 16)

= -x^2 + 8x - 16.

3 0
3 years ago
What is the mode of the data represented in this line plot?<br><br> Enter your answer in the box.
tatuchka [14]
Answer: 8

Reason: Mode means most frequently used number
8 0
2 years ago
Read 2 more answers
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