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Marysya12 [62]
3 years ago
15

Multiply and simplify. (3x+5)(2x2−3x+2) Enter your answer, in standard form, in the box.

Mathematics
2 answers:
Sveta_85 [38]3 years ago
7 0

Answer:

6x^3+x^2-9x+10

Step-by-step explanation:

We have the product, (3x+5)(2x^{2}-3x+2).

On simplifying the product, we get,

(3x+5)(2x^{2}-3x+2)

i.e. 6x^3-9x^2+6x+10x^2-15x+10

i.e. 6x^3+x^2-9x+10

Thus, the standard form of the product (3x+5)(2x^{2}-3x+2) is 6x^3+x^2-9x+10.

forsale [732]3 years ago
5 0

Answer:

6x³+x²-9x+10

Step-by-step explanation:

We have given a binomial and a trinomial .We have to find product of binomial and a triomial.

(3x+5)(2x²-3x+2)

Multiplying each term of binomial to trinomial,we get

3x(2x²-3x+2)+5(2x²-3x+2)

Multiplying each term of binomial to each term of trinomial,we get

3x(2x²)-3x(3x)+3x(2)+5(2x²)+5(-3x)+5(2)

6x³-9x²+6x+10x²-15x+10

Gather like terms

6x³-9x²+10x²+6x-15x+10

Adding the coffiecients of like terms

6x³+x²-9x+10 which is the answer.


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Answer:

The answer is Tangent.

Step-by-step explanation:

Given that Tangent Rule is tanθ = opposite/adjacent. In this question, opposite is 11, adjacent is x and θ is 21°.

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7 0
3 years ago
A paperweight is shaped like a triangular pyramid. The base is an equilateral triangle. Find the surface area of the paperweight
melomori [17]

Answer:

<h2>8.3 in²</h2>

Step-by-step explanation:

We have

three triangles with the base <em>b = 2 in.</em> and the height <em>h₁ = 2.2 in.</em>

one triangle with the base <em>b = 2 in. </em>and the height <em>h₂ = 1.7 in.</em>

The formula of an area of a triangle:

A=\dfrac{b\cdot h}{2}

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

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

Substitute:

A_1=\dfrac{(2)(2.2)}{2}=\dfrac{4.4}{2}=2.2\ in^2

A_2=\dfrac{(2)(1.7)}{2}=1.7\ in^2

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5 0
3 years ago
Angle G is a circumscribed angle of circle E. Major arc FD measures 280°.
mixer [17]

Answer:

The answer is 40°

Step-by-step explanation:

Solution

Now,

The Measure of major arc FD = 280°

Thus,

One complete angle measure 360°

Then

m∠FED = 360 - 180

m∠FED = 80°

Thus,

FE = DE ( the same circle Radius)

∠EFD = ∠EDF (  opposite angles to equal sides are equal)

Now

Applying angle sum property of a triangle in ΔEFD

∠EFD + ∠EDF + ∠FED = 180°

∠EFD + ∠EFD + 80 = 180

2∠EFD = 100

∠EFD = 50°

Hence, GF is tangent to the circle and the tangent always make right angles with the radius of the circle.

∠EFG = 90°

∠GFD + ∠EFD = 90°

∠GFD + 50 = 90

∠GFD = 40°

Therefore, The measure of the angle GFD is 40°

8 0
3 years ago
Read 2 more answers
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