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fomenos
3 years ago
6

5(2x + 6)this is the question

Mathematics
2 answers:
masha68 [24]3 years ago
8 0

Answer:

10x+30

Step-by-step explanation:

yaroslaw [1]3 years ago
5 0
10X + 30



5 times 2 is 10 and then 5 times 6 is 30
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Please help me.<br> Don’t give me fake answer or I will report you.
Colt1911 [192]
<h3>Answer:   x = 30</h3>

=======================================================

Explanation:

If a regular polygon has n sides, then each interior angle has the measure of

i = 180(n-2)/n

In this case, we have n = 6 sides, so,

i = 180(n-2)/n

i = 180(6-2)/6

i = 120

Each interior angle of a regular hexagon is 120 degrees.

This means the bottom-right angle of the triangle is 120 degrees. The upper-right angle of that triangle is shown to be x degrees. The remaining angle is also x due to the triangle being isosceles (recall that regular hexagons have all sides the same length). Isosceles triangles have congruent base angles, which are opposite the congruent sides.

Use the fact that for any triangle, the three angles always add to 180, and we get...

x+120+x = 180

2x+120 = 180

2x = 180-120

2x = 60

x = 60/2

x = 30

5 0
3 years ago
Read 2 more answers
Mhanifa please help! Find the coordinates of the circumcenter of the triangle with the vertices A(4, 12), B(14, 6), and C(-6, 2)
melamori03 [73]

Answer:

  • (4.5, 1.5)

Step-by-step explanation:

<u>Given vertices of a triangle:</u>

  • A(4, 12), B(14, 6), and C(-6, 2)

Let the circumcenter is point M(x, y)

We know that the circumcenter is equidistant from each of the vertices.

<u>Use distance formula:</u>

  • AM = √(x - 4)² + (y - 12)²
  • BM = √(x - 14)² + (y - 6)²
  • CM = √(x + 6)² + (y - 2)²

<u>All three distances are equal:</u>

  • AM = BM = CM ⇒ AM² = BM² = CM² ⇒
  • (x - 4)² + (y - 12)² = (x - 14)² + (y - 6)² = (x + 6)² + (y - 2)²

<u>Square of each:</u>

  • AM² = x² - 8x + 16 + y² - 24y + 144 = x² + y² - 8x - 24y + 160
  • BM² = x² - 28x + 196 + y² - 12y + 36 = x² + y² - 28x - 12y + 232
  • CM² = x² + 12x + 36 + y² - 4y + 4 = x² + y² + 12x - 4y + 40

<u>Comparing the squares, we get following system:</u>

  • -8x- 24y + 160 = -28x - 12y + 232 ⇒ 20x - 12y = 72 ⇒ 5x - 3y = 18
  • - 8x - 24y + 160 = 12x - 4y + 40 ⇒ 20x + 20y = 120 ⇒ x + y = 6

<u>Solve by substitution, x = 6 - y:</u>

  • 5(6 - y) - 3y = 18
  • 30 - 8y = 18
  • 8y = 12
  • y = 1.5

<u>Find x:</u>

  • x = 6 - 1.5 = 4.5

So the circumcenter is M(4.5, 1.5)

7 0
3 years ago
Simplify (X-3)(x^2-4x-7)
adell [148]
The answer is x^3 - 7x^2 + 5x + 21
3 0
3 years ago
Read 2 more answers
12. Write an equation in standard form of a line whose intercepts are fractions.
dolphi86 [110]

Answer:

see the explanation in the procedure

Step-by-step explanation:

we know that

The equation of a line in standard form is

Ax+By=C

where

A is a positive integer

B and C are integers

<em>Find the intercepts</em>

<u><em>Find the y-intercept</em></u>

The y-intercept is the value of y when the value of x is equal to zero

so

For x=0

By=C

y=\frac{C}{B}

In order for C/B to be a fraction, C must not be a multiple of B

<u><em>Find the x-intercept</em></u>

The x-intercept is the value of x when the value of y is equal to zero

so

For y=0

Ax=C

x=\frac{C}{A}

In order for C/A to be a fraction, C must not be a multiple of A

8 0
3 years ago
Nine times a number y plus seven is equal to a number y . Write the word sentence as an equation.
Dafna1 [17]

Answer: 9y + 7 = y

Explanation:

The phrase, "nine times a number y" is "9y" in the form of an equation. When any term is by a number, they are meant to be multiplied together. So, "9y" means "9 times y".

The phrase, "plus seven" simply means to add seven.

The phrase, "equal to number y" is "= y" because "number y" refers to that term.

And so, all together, you get 9y + 7 = y.

(Brainliest would be appreciated)

I hope this helped!

Good luck <3

4 0
2 years ago
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