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3 years ago

What is the sum of the polynomials? 11x^2-5 + x+4

Mathematics

2 answers:

Nataly_w [17]3 years ago

8 0

Answer:

11x^2+x-1

Step-by-step explanation:

liraira [26]3 years ago

5 0

Answer:

$11x^{2}+x-1$

Step-by-step explanation:

we have

$(11x^{2} -5) +(x+4)$

we know that

The sum of a quadratic equation and a linear equation will be a quadratic equation

Combine like terms

$(11x^{2})+(x)+(-5+4)$

$11x^{2}+x-1$

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What is the area of the shaded portion of the circle?

SOVA2 [1]

Answer:

The first option is the correct one, the area of the shaded portion of the circle is

[/tex](5 \pi -11.6)ft^2[/tex]

Step-by-step explanation:

Let us first consider the triangle + the shadow.

The full area of the circle is the radius squared times pi, so

A= $(5 ft)^2 \cdot \pi \\25 ft^2 \cdot \pi$

Since $\frac{72^{\circ}}{360^{\circ}}=\frac{1}{5}$ , the area of the triangle + the shaded area is one fifth of the area of the whole circle, thus

$A_1=\frac{1}{5}25 ft^2 \cdot \pi\\ =5 ft^2 \cdot \pi$

If we want to know the area of the shaded part of the circle, we must subtract the area of the triangle from $A_1$ .

The area of the triangle is given by

$A_{triangle}=\frac{1}{2}\cdot (2.9+2.9)ft \cdot 4 ft\\= 11.6 ft^2$

Thus the area of the shaded portion of the circle is

$A_1-A_{triangle}=5 \pi ft^2-11.6ft^2\\= (5 \pi -11.6)ft^2$

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3 years ago

How would u write 5 as a Roman numeral

Tamiku [17]

Answer:

Step-by-step explanation:

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2 years ago

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Is (-2,-4) a solution of the graphed inequality? Choose 1 answer: Yes No

sertanlavr [38]

Answer:

Yes

General Formulas and Concepts:

Algebra I

Reading a coordinate graph
Coordinates (x, y)
Solving inequalities

Step-by-step explanation:

When we plot (-2, -4) onto the graph, we can envision that the point is within the shaded region of the graphed line.

∴ (-2, -4) would be a solution.

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