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3 years ago

Solve for x. Sqrt. x +3 / x+3 = 1

Mathematics

2 answers:

algol [13]3 years ago

6 0

Answer:

(x+3)²=(√x+3)²

x²+6x+9=x+3

x²+5x+6=0

3×2=6

3+2=5

(x+3)×(x+2)=0

x=-2 and x=-3

SashulF [63]3 years ago

3 0

Answer:

x = -3 and x = -2

Step-by-step explanation:

-3 +3 = 0

-3 + 3 = 1

thus that means 0 + 1 = 1

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A polynomlal has been factored, as SHOWI Deluw.

Tom [10]

Answer:

The zeros are 6,-5,9

Step-by-step explanation:

The factored form of the polynomial is given as:

$f(x) = (x - 6)(x + 5)(x - 9)$

To find the zeros of this function, we set f(x)=0 and solve for x.

$(x - 6)(x + 5)(x - 9) = 0$

This implies that:

$(x - 6) = 0 \: or \: (x + 5) = 0 \: or \: (x - 9) = 0$

We solve for x to get:

$x = 6 \: or \: x = - 5 \: or \: x = 9$

The zeros are 6,-5,9

3 0

3 years ago

When x = 12, y = 8. Find x when у = 12

Bad White [126]

Answer:

$y = \frac{12 \times 12}{8} = 18$

7 0

3 years ago

Mia found the area of a polygon The area is 32 square cm.

solniwko [45]

Answer:

Only the isosceles trapezoid has an area of 32 cm².

Step-by-step explanation:

Let's calculate the area of each polygon.

For the two triangles we have:

$A_{t} = \frac{bh}{2} = \frac{2 cm*4 cm}{2} = 4 cm^{2}$

This polygon does not have an area of 32 cm².

For the rectangle we have:

$A_{r} = bh = 6 cm*4 cm = 24 cm^{2}$

This polygon does not have an area of 32 cm².

For the rectangle trapezoid we have:

$A_{rt} = A_{t} + A_{r} = (4 + 24) cm^{2} = 28 cm^{2}$

So, this polygon does not have an area of 32 cm².

Finally, for the isosceles trapezoid:

$A_{it} = A_{t}*2 + A_{r} = (4*2 + 24) cm^{2} = 32 cm^{2}$

This polygon does have an area of 32 cm².

Therefore, only the isosceles trapezoid has an area of 32 cm².

I hope it helps you!

8 0

3 years ago

Using the image above, if the density of the LEGO piece is 0.85 g/cm^3, what COULD be a possible measurement for the density of

grin007 [14]

The Lego is submerged under the oil and therefore, is more dense than the oil

The possible density of the oil is the option;

0.79 g/cm³

Reason:

Given:

The density of Lego = 0.85 g/cm³

Density of oil = Required

Solution:

The density of an object is the mass per unit volume it occupies

$Density = \dfrac{Mass}{Volume}$

Increase in density increases the mass a unit volume occupies, therefore, a

more dense object is heavier than a less dense object such that the less

dense object will float on a dense object

The oil is floating on the Lego, therefore, the Lego is more dense than the

oil, and we have;

Density of Lego > Density of oil

The density of Lego = 0.85 g/cm³

Therefore;

0.85 g/cm³ > Density of oil

From the given options, the option that has a density less than 0.85 g/cm³ is the the option 0.79 g/cm³

Therefore, the possible density of the oil is 0.79 g/cm³

Learn more here:

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6 0

2 years ago

Continuing the pattern, what do the following terms equal?

rodikova [14]

The series formed by using exponential property we get : $\frac{1}{2} , \frac{1}{4} , \frac{1}{8} ,\frac{1}{16} ,\frac{1}{32} ,\frac{1}{64} ,\frac{1}{128} ,\frac{1}{256} ,\frac{1}{512} ,\frac{1}{1024} .$

What is Exponential Property?

Properties of Exponents : It is also called power or degree.
It tells us how many times the base will be multiplied by itself.
The properties of exponents or laws of exponents are wont to solve problems involving exponents.
These properties also are considered as major exponents rules to be followed while solving exponents.

Using exponential property on given values we get,

$2^1=1/ 2\\2^2=1/4\\2^3=1/8\\2^4= 1/16\\2^5= 1/32\\2^6 = 1/64\\2^7 = 1/128\\2^8 = 1/256\\2^9 = 1/512\\2^10 = 1/1024\ ...$

Complete series using exponent property is: $\frac{1}{2} , \frac{1}{4} , \frac{1}{8} ,\frac{1}{16} ,\frac{1}{32} ,\frac{1}{64} ,\frac{1}{128} ,\frac{1}{256} ,\frac{1}{512} ,\frac{1}{1024} ,$

Learn more about exponential property here:

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4 0

2 years ago