Compare the graph of g(x)=x2−3 with the graph of f(x)=x2

Answer:

180cm^3

Step-by-step explanation:

Given data

Height b=15 cm

Base a= 6cm

The expression for the volume of a pyramid is

V=a^2h/3

Substitute

V= 6^2*15/3

V= 36*5

V=180cm^3

Hence the volume is  180cm^3

Answer:

3

Step-by-step explanation:

Hey there,

Put the equation into the circle equation [ (x - h)² + (y - k)² = r² ].

x² + y² + 4x + 8y = -11

(x² + 4x) + (y² + 8y) = -11

(x + 2)² + (y + 4)² = 9

If that is confusing, you can always rewrite it to show exactly what you need in the circle equation.

(x - (-2))² + (y - (-4))² = 3²

Therefore, using the circle equation we can see that the center is at the point (-2, -4) and the radius is 3.

Best of Luck!

Answer:

[tex] \displaystyle \text{centre} :( - 2, - 4)[/tex]

[tex] \text{redius} : 3[/tex]

Step-by-step explanation:

we are given a circle equation

[tex] \rm \displaystyle {x}^{2} + {y}^{2} + 4x + 8y + 11 = 0[/tex]

we want to figure out the centre and the redious of the circle from the equation notice that the given circle equation is in general form given by

[tex] \rm \displaystyle {x}^{2} + {y}^{2} +A x +B y +C = 0[/tex]

general form of circle equation is a simplified version of standard form. the standard form of circle equation is given by:

[tex] \displaystyle (x - h {)}^{2} + (x - k {)}^{2} = {r}^{2} [/tex]

where:

notice that the there're two completed squares in the standard form therefore we can consider completing square to figure out the centre and the redious

indentifying centre and redious:

rearrange:

[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) + 11 = 0[/tex]

cancel 11 from both sides:

[tex] \rm \displaystyle ( {x}^{2} + 4x ) +( {y}^{2} + 8y) = - 11[/tex]

add 4 to the both sides so that the equality don't affect:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = -11 + 4[/tex]

simplify addition:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y) = - 7[/tex]

once again to complete the square add 16 to both sides which yields:

[tex] \rm \displaystyle ( {x}^{2} + 4x + 4) +( {y}^{2} + 8y + 16) = 9[/tex]

complete the squares by using (a+b)²=a²+2ab+b² pattern:

[tex] \rm \displaystyle ( {x}+ 2) ^{2} +( {y} + 4) ^{2} = 9[/tex]

we can still rewrite it to figure out the redious and the centre:

[tex] \rm \displaystyle ( {x} - ( - 2)) ^{2} +( {y} -( - 4) ) ^{2} = {3}^{2} [/tex]

therefore we obtain:

and we are done!

Answer:

7y-2x^2+4+xy

Step-by-step explanation:

The formula for volume of a hemisphere is: V = 2/3 * π * r³

Volume = 2/3 x 3.14 x 150^3

Volume = 7,065,000 cubic feet.

Multiply the cost per cubic foot by the volume:

7,065,000 x 0.05 = 353,250

The total cost was $353,250

Answer:

thanks for freepoints

have q nice dayyyyy

hope all your dreams come true

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Answer:

B. 7(6x – 1) and 42x – 7 is equivalent

Step-by-step explanation:

A. –3(3x + 5) and –9x + 5

=–3(3x + 5)=-9x-15 not equivalent

B. 7(6x – 1) and 42x – 7

7(6x – 1)=42x-7 equivalent

C. –6(4x – 3) and –6x

=–6(4x – 3)=-24+18 not equivalent

D. 5(2x + 3y) and 25xy

=5(2x + 3y)=10x+15y not equivalent.

Answer:

270

multiply the number by the percentage-

300 x .90= 270 students

Answer:

6-8-10

9-12-15

5-12-13

Step-by-step explanation:

We know the 3-4-5 right triangles work when you multiply the sides by anything. For example. 6-8-10 and 9-12-15 work.

If you want other right triangles that follow a similar pattern, 5-12-13 is also viable. 10-24-26 & 15-36-39 are all right triangles

The 6, 8, 10, and 9, 12, and 15 are other sides of the right-angle triangle after applying Pythagoras theorem.

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have:

Lin says she has memorized the lengths of a few right triangles, for example, 3, 4, and 5.

There are 6, 8, 10, 9, 12, and 15 other sides of the right-angle triangle.

On applying Pythagoras theorem.

6² + 8² = 10²

9² + 12² = 15²

Thus, the 6, 8, 10, and 9, 12, and 15 are other sides of the right-angle triangle after applying Pythagoras theorem.

Learn more about the right-angle triangle here:

brainly.com/question/3770177

#SPJ2

Answer:

4

Step-by-step explanation:

volume is equal to a x a x a

This means that [tex]a^{3}[/tex] = V

Therefore, a = cube root of V, which is 4

Answer:

A; x< 5

Step-by-step explanation:

A simple way to remember the difference between greater than or less than is picturing the symbol as an alligator, the mouth of the alligator, the open end, eats the bigger number. The line under the greater than/ less than symbol means "or equal to". An open circle on a number line means that it's NOT "or equal to", so the answer isn't B or D. On the number line, it shows what x could equal. The arrow falls on 0, I'll use 0 as an example. Is 0 less than 5? Yes. If x could equal 0, that means that x is less than 5.

Answer:

x = 12

Step-by-step explanation:

Given a tangent and a secant from an external point to the circle.

Then the product of the external part of the secant and the entire secant is equal to the square of the measure of the tangent, that is

3x = 6² = 36 ( divide both sides by 3 )

x = 12

Answer:

Under the same translation:

Y'(8,-1)

Z'(6,-7)

Answer:

(x-11)^2 + (y-6)^2= 6^2

Step-by-step explanation:

Answer:

(x - 11)² + (y - 6)² = 36

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (11, 6 ) and r = 6, then

(x - 11)² + (y - 6)² = 6² , that is

(x - 11)² + (y - 6)² = 36

Answer:

3(x+2)(x+8)

Step-by-step explanation:

Answer:

[tex]3(x+8)(x+2)[/tex]

Step-by-step explanation:

[tex]3x^2 + 30x + 48 = 3(x^2 + 10x+ 16) = 3(x+8)(x+2)[/tex]

Answer: 80.49.

Can u give me brainliest

Step-by-step explanation:

Given:

A deep sea diver started at sea level (0 feet).

Rate of diving = 5.6 feet per minute.

Time = [tex]\dfrac{1}{2}[/tex] hour

To find:

The rational number that represents his position relative to sea level.

Solution:

We know that,

1 hour = 60 minutes

[tex]\dfrac{1}{2}[/tex] hour = 30 minutes

A deep sea diver, dove at a rate of 5.6 feet per minute.

Distance covered in 1 minute = 5.6 feet

Distance covered in 30 minute = 30 × 5.6 feet

                                                    = 168 feet

The diver dove 168 feet in [tex]\dfrac{1}{2}[/tex] hour. Since it is below the sea level, therefore it should be negative.

So, the rational number that represents his position relative to sea level is [tex]-168[/tex] feet.

Therefore, the correct option is D.

Answer:

$900

Step-by-step explanation:

He makes $288 the first week and $612 the second week the total amount of money he makes is $900

Answer:

96*3= $288 from last week

204*3= $612 from this week

The total is $900 from both weeks

Step-by-step explanation:

Hope this is what you were asking!

Explanation is in the file

tinyurl.com/wpazsebu

Answer: 263.8m2

Step-by-step explanation:

Formula: S.A=Pi x radius2 + Pi x radius x slant height

Answer: The answer is 34 13/20.

Step-by-step explanation:

I did it and was correct for me! Hope it helps ❤️

Answer:

34 13/20

Step-by-step explanation:

Answer:

5.3

Step-by-step explanation:

pythagorean theory :,)

[tex]a^{2} + b^{2} = c^{2}[/tex]

the legs are [tex]a[/tex] and [tex]b[/tex], while the hypotenuse (the longest side) is [tex]c[/tex]

fill in the equation with the information u have and simplify so

[tex]a^{2} + 6^{2} = 8^{2}[/tex]

[tex]a^{2} + 36 = 64[/tex]

now get the variable ([tex]a[/tex]) by itself

[tex]a^{2} + 36 = 64\\[/tex]

(subtract 36 on both sides)

[tex]a^{2} = 28[/tex]

[tex]a = 5.3[/tex]

square root of both sides ≈ 5.3

(you could also multiply the square root of 7 by 2)

Answer:

720 = x +133+138+148+95+105

x = 101

Answer:

The three different possible conditions ;

nonalcoholic beer group, 1 beer group, 2 beer group

Step-by-step explanation:

The Independent variable, also known as the predictor variable are variables used to influence and check changes in the dependent or predicted variable as subjects are exposed to the different types or levels of independent variable used in the study.

In the scenario described above, the predictor or independent variables which are used to measure the reaction times of participants to unexpected variables is the independent variable, beacuse these different variables ; nonalcoholic beer, 2 beer will probably affect the response time of the participants which is the dependent variable.

Answer:

Step-by-step explanation:

Answer:

x= (2,0)

hope it helps!!

Answer:

13.6

Step-by-step explanation:

[tex]a^2+b^2=c^2\\4^2+13^2=c^2\\16+169=c^2\\c^2=185\\\sqrt{c^2} =\sqrt{185} \\c=13.6[/tex]

Answer:

26²

Step-by-step explanation:

26 x 26 = 676