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3 years ago

Write the equation that represents the relationship between n the number of triangles and p the perimeter of the figures formed.

Mathematics

2 answers:

BARSIC [14]3 years ago

5 0

Answer: for n triangles: p = 2*6 + n*5 = 12 + 5n

Klio2033 [76]3 years ago

4 0

1 triangle: 2*6 + 1*5

2 triangles: 2*6 + 2*5

3 triangles: 2*6 + 3*5

So for n triangles: p = 2*6 + n*5 = 12 + 5n

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Subtract and simplify. Show work please!

ra1l [238]

1) Final expression: $+7y^2-6y-17$

2) Final expression: $21x^3-46x^2+59x-30$

Step-by-step explanation:

The first expression is

$(-2y^2-11y-7)-(-9y^2-5y+10)$

First, we remove the 2nd bracket by changing the sign of all the terms inside:

$-2y^2-11y-7-+9y^2+5y-10$

Now we group the terms with same degree together:

$(-2y^2+9y^2)+(-11y+5y)+(-7-10)$

Now we solve the expression in each brackets:

$(-2y^2+9y^2)+(-11y+5y)+(-7-10)=\\+7y^2-6y-17$

So, this is the final expression.

The second expression is

$(7x-6)(3x^2-4x+5)$

We apply the distributive property, so we rewrite the expression as follows:

$(7x-6)(3x^2-4x+5)=7x(3x^2-4x+5)-6(3x^2-4x+5)$

Solving both brackets,

$7x(3x^2-4x+5)-6(3x^2-4x+5)=\\21x^3-28x^2+35x-18x^2+24x-30$

Now we group terms of same degree together:

$21x^3-28x^2+35x-18x^2+24x-30=\\21x^3+(-28x^2-18x^2)+(35x+24x)-30$

And solving each bracket,

$21x^3+(-28x^2-18x^2)+(35x+24x)-30=\\21x^3-46x^2+59x-30$

So, this is the final expression.

Learn how to simplify expressions:

brainly.com/question/7014769

brainly.com/question/11007572

brainly.com/question/11334714

#LearnwithBrainly

3 0

3 years ago

Vertical and Adjacent Angles (3 Activities)<br> 100 POINTS+BRAINLIEST

Yakvenalex [24]

Answer:

Problem B: x = 12; m<EFG = 48

Problem C: m<G = 60; m<J = 120

Step-by-step explanation:

Problem B.

Angles EFG and IFH are vertical angles, so they are congruent.

m<EFG = m<IFH

4x = 48

x = 12

m<EFG = m<IFH = 48

Problem C.

One angle is marked a right angle, so its measure is 90 deg.

The next angle counterclockwise is marked 30 deg.

Add these two measures together, and you get 120 deg.

<J is vertical with the angle whose measure is 120 deg, so m<J = 120 deg.

Angles G and J from a linear pair, so they are supplementary, and the sum of their measures is 180 deg.

m<G = 180 - 120 = 60

7 0

3 years ago

Read 2 more answers

Answer quickly please

Olin [163]

Answer:

Step-by-step explanation:

A. 3000/50 is 60

4 0

2 years ago

Learning goal: to understand the rules for computing dot products. let vectors a=(2,1,−4), b=(−3,0,1), and c=(−1,−1,2). part a -

miv72 [106K]

For this case we have the following vectors:
$a = (2,1, -4)

b = (- 3,0,1)

c = (- 1, -1,2)$
The dot product of two vectors is a scalar.
The point product consists of multiplying component by component and then adding the result of the multiplication of each component.
For the product point of the vectors a and b we have:
$a.b = (2,1, -4). (- 3,0,1)

a.b = (2) (- 3) + (1) (0) + (-4) (1)

a.b = - 6 + 0 - 4

a.b = - 10$
Answer:
The product point of the vectors a and b is:
$a.b = - 10$

3 0

3 years ago

Which is the simplest radical form of √52?

Zielflug [23.3K]

Short answer: 2 * sqrt(13)
Remark
There are a number of ways to look at this. I'll pick the easiest.

Step one
Factor 52 until there are no more prime factors to be used.

52 = 2 * 26
52 = 2 * 2 * 13. That's as far as you can go.

Rule
For every 2 equal prime factors, 1 of them can be taken out side of the root sign. The other one disappears.

sqrt(52) = sqrt(2*2* 13) = 2*sqrt(13)

Answer 2sqrt(13) <<<< answer

4 0

2 years ago