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pentagon [3]
3 years ago
6

What’s the answer to the math problem? (3x+2)(2x2+x+3

Mathematics
1 answer:
sergey [27]3 years ago
8 0

{6x}^{3}  +  {7x}^{2}  + 11x + 6
factor out the function
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The triangle and the trapezoid have the same area. Base b2 is twice the length of base b1. What are the lenghts of the bases of
Sati [7]

Answer:

<h2>The lengths of the bases of the trapezoid:</h2><h2>42/h cm and 84/h cm.</h2>

Step-by-step explanation:

The formula of an area of a triangle:

A=\dfrac{bh}{2}

<em>b</em><em> </em>- base

<em>h</em> - height

We have <em>b = 21cm, h = 6cm</em>.

Substitute:

A=\dfrac{(21)(6)}{2}=63\ cm^2

The formula of an area of a trapezoid:

A=\dfrac{b_1+b_2}{2}\cdot h

<em>b₁, b₂</em> - bases

<em>h</em><em> - </em>height

We have <em>b₁ = 2b₂</em>, therefore <em>b₁ + b₂ = 2b₂ + b₂ = 3b₂</em>.

The area of a triangle and the area of a trapezoid are the same.

Therefore

\dfrac{3b_2}{2}\cdot h=63         <em>multiply both sides by 2</em>

3b_2h=126          <em>divide both sides by 3</em>

b_2h=42         <em>divide both sides by h</em>

b_2=\dfrac{42}{h}

b_1=2b_2\to b_1=2\cdot\dfrac{42}{h}=\dfrac{84}{h}

8 0
3 years ago
Read 2 more answers
If a storm window has an area of 448 square inches, what are the dimensions if the window is 12 inches higher than it is wide (w
Sholpan [36]
16*28=448
28 is 12 inches higher than 16 so it should work.
5 0
3 years ago
Read 2 more answers
The graph of a proportional relationship passes through the point (6, 21). What is the equation for the relationship?​
Kipish [7]

Answer:

The equation for the relationship is y = \frac{7}{2}\cdot x.

Step-by-step explanation:

Given that point (x,y) = (6, 21) is part of a direct relationship. That is:

y \propto x

y = k\cdot x (1)

Where k is the proportionality constant.

If we know that x = 6 and y = 21, then the proportionality constant is:

k = \frac{y}{x}

k = \frac{21}{6}

k = \frac{7}{2}

Lastly, the equation for the relationship is y = \frac{7}{2}\cdot x.

7 0
3 years ago
Plz help due todayyyy
avanturin [10]
The answer is c alternate exterior angles
6 0
2 years ago
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What is the exponent of x in in the expression -4x^3y^2 + 6
liberstina [14]

Answer:

3

Step-by-step explanation:

- 4x³y² + 6

the x is raised to the power of 3 , that is exponent of x is 3

4 0
2 years ago
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