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4 years ago

Identify the domain and range of the function graphed below.

Mathematics

1 answer:

Anna71 [15]4 years ago

6 0

Answer:

Domain: (-4, ∞)

Range: (-∞,∞)

Step-by-step explanation:

Domain is all of your possible x values and range is all of the possible y values. I may have wrote the brackets wrong but the values are wright.

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Which number is between pi and the square root of 14

nevsk [136]

I'm not saying it's absolutely correct, but if it were to be graphed, it is accurately close to (7,22)

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3 years ago

each side of triangle xyz has length 9 .Find the area of the region inside the circumcircle of the triangle but outside the tria

mote1985 [20]

Answer:

The area of the region inside the circumcircle of the triangle but outside the triangle is

$A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the area of triangle

we have an equilateral triangle

Applying the law of sines

$A_t=\frac{1}{2}(b^2)sin(60^o)$

where b is the length side of the equilateral triangle

we have

$b=9\ units$

$A_t=\frac{1}{2}(81)sin(60^o)$

$A_t=\frac{1}{2}(81)\frac{\sqrt{3}}{2}$

$A_t=81\frac{\sqrt{3}}{4}\ units^2$

step 2

Find the area of circle

The area of the circle is equal to

$A_c=\pi r^{2}$

The formula to calculate the radius of the circumcircle of the triangle equilateral is equal to

$r=b\frac{\sqrt{3}}{6}$

where b is the length side of the equilateral triangle

we have

$b=9\ units$

substitute

$r=(9)\frac{\sqrt{3}}{6}$

$r=3\frac{\sqrt{3}}{2}\ units$

Find the area

$A_c=\pi (3\frac{\sqrt{3}}{2})^{2}$

$A_c=\frac{27}{4} \pi\ units^2$

step 3

Find the area of the shaded region

we know that

The area of the region inside the circumcircle of the triangle but outside the triangle is equal to the area pf the circle minus the area of triangle

$A=(\frac{27}{4} \pi-81\frac{\sqrt{3}}{4})\ units^2$

Simplify

$A=\frac{27}{4}[\pi-3\sqrt{3}]\ units^2$

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3 years ago

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ruslelena [56]

The answer is -8 degrees Celsius

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3 years ago

How many even numbers are between 11 and 30

Debora [2.8K]

Answer:

9 even numbers are between 11 and 30.

Step-by-step explanation:

12, 14, 16, 18, 20, 22, 24, 26, 28

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3 years ago

Functions Question (image attached)

zzz [600]

Answer:

$x {}^{2} \times + 4x$

Step-by-step explanation:

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3 years ago