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3 years ago

What's the difference of the two polynomials? (9x²+8x)-(2x²+3x)A)7x²+5x

Mathematics

1 answer:

Jet001 [13]3 years ago

3 0

<h2>Answer:</h2>

7x²+5x

<h2>Step-by-step explanation:</h2>

(9x²+8x)-(2x²+3x)

We will subtract the like terms. That means that we will subtract $2x^{2}$ from $9x^{2}$ and 3x from 8x.

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Peter packed 6 small boxes with n cans of soup in each box. he packed 4 boxes with twice as many cans in the small boxes. write

larisa86 [58]

6n+4(2n)=total.
6n+8n=total
14n=answer

7 0

3 years ago

One leg of triangle is 7 inches longer than the other leg. The hypotenuse is 8 inches longer than the shorter leg. The perimeter

mixas84 [53]

Answer:

5 ; 12 ; 13

Step-by-step explanation:

Let :

Shorter leg = x

Other leg = x + 7

Hypotenus = x + 8

Recall:

Hypotenus² = opposite² + adjacent²

(x+8)² = x² + (x+7)²

x² + 16x + 64 = x² + x² + 14x + 49

x² - 2x - 15 = 0

x² - 5x + 3x - 15 = 0

x(x - 5) +3(x - 5) = 0

(x + 3) = 0 ; x = - 3

(x - 5) = 0 ; x = 5

Side can't be negative ;

Hence,

x = shorter side = 5

Other side = x + 7 = 5 + 7 = 12

Hypotenus = x + 8 = 5 + 8 = 13

7 0

3 years ago

Which expression does not belong with the other three? Explain your reasoning. −58−34 −34+58 −58+(−34) −34−58 This expression eq

Svetach [21]

Answer:

The expression which doesn't belong to the other three is (-34 + 58).

Step-by-step explanation:

Given:

Four expressions.

We have to find the odd one out.

The expressions are :

$-58-34$
$-34+58$
$-58+(-34)$
$-34-58$

We know that with same signs (operator) in addition/subtraction of an expression we we add the values and the answer remains in negative.

But with different signs on numbers we will subtract the numbers and the greater number's sign will be carried forward.

So,

$-58-34$ $= -92$
$-34+58$ $=24$
$-58+(-34)$ $=-58-34 =-92$
$-34-58$ $=-92$

We can see that the second expression is not equal to the other three.

(-34 + 58) is the odd one out of the four expressions.

6 0

3 years ago

Cuboid ABCDEFGH is shown

gtnhenbr [62]

Answer:

The angle formed between CF and the plane ABCD is approximately 47.14°

Step-by-step explanation:

The given parameters are;

BC = 6.8

DE = 9.3

∠BAC = 52°

We note that the angles formed by the vertex of a cuboid are right triangles, therefore, by trigonometric ratios, we get;

sin∠BAC = BC/(The length of a line drawn from A to C)

∴ The length of the line drawn from A to C = BC/sin∠BAC

The length of the line drawn from A to C = 6.8/sin(52°) ≈ 8.63

∴ AC = 8.63

By trigonometry, we have;

The angle formed between CF and the plane ABCD = Angle ∠ACF

$tan\angle X = \dfrac{Opposite \ leg \ length}{Adjacent\ leg \ length}$

$tan\angle ACF = \dfrac{FA}{AC}$

In a cuboid, FA = BG = CH = DE = 9.3

$\therefore tan\angle ACF = \dfrac{9.3}{8.63}$

$\therefore \angle ACF = arctan \left(\dfrac{9.3}{8.63} \right) \approx 47.14^{\circ}$

The angle formed between CF and the plane ABCD = Angle ∠ACF ≈ 47.14°

4 0

3 years ago

In the diagram below de and ef are tangent to o what is the measure of E

Andreyy89

Answer: 32

Step-by-step expanation:

7 0

2 years ago

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What's the difference of the two polynomials? (9x²+8x)-(2x²+3x)A)7x²+5x​

What's the difference of the two polynomials? (9x²+8x)-(2x²+3x)A)7x²+5x