FIND THE SLOPE OF A LINE THAT PASSES THROUGH THE POINT (-3-3) AND (-4-4)​

Answer:Slope=-240.000/2.000=-120.000

Step-by-step explanation:Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    120*x+y-(1200)=0

STEP

1

:

Equation of a Straight Line

1.1     Solve   120x+y-1200  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

The volume of the solid whose base is a circle centered at the origin with a radius r is 16r³/3 cubed unit.

The equation of the circle is the equation which is used to represent the circle in the algebraic equation form, with the value of center point in the coordinate plane and measure of radius.

The equation of the circle can be given as,

[tex]x^2+y^2=r^2[/tex]

Here, (r) is the radius of the circle.

Rewrite this equation as,

[tex]y^2=r^2-x^2\\y=\sqrt{r^2-x^2}[/tex]

This will give you the half the length of the side. Thus, the length of the side of the square is,

[tex]s=2y=2\sqrt{r^2-x^2}[/tex]

The area of the square it square of its side. Thus, the area of the square is,

[tex]A(x)=s^2\\A(x)=(2\sqrt{r^2-x^2})^2\\A(x)=4(r^2-x^2})[/tex]

The volume of the solid can be got by integrating the area of the cross-section.

[tex]V=\int\limits {A(x)} \, dx[/tex]

Here, A(x), provides the area of the square at the point x. Thus,

[tex]V=\int\limits {A(x)} \, dx\\V=\int\limits_{-r}^r {4(r^2-x^2)} \, dx\\V=[ {4(r^2x-\dfrac{x^3}{3})}]^r_{-r}\\V= {4(r^2(r)-\dfrac{(r)^3}{3})}- {4(r^2(-r)-\dfrac{(-r)^3}{3})}\\V=4[r^3-\dfrac{r^3}{3}}+ {r^3-\dfrac{r^3}{3}]\\V=\dfrac{16r^3}{3}[/tex]

Thus, the volume of the solid whose base is a circle centered at the origin with a radius r is 16r³/3 cubed unit.

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Answer:

let's say you wanted to know if Gatorade increased athletic performance. Your experimental group would be given the Gatorade and your control group would be given regular water.  or  an experiment in which the researcher tests whether or not a new fertilizer has an effect on plant growth.

Step-by-step explanation:

Answer:an example of a treatment and a control group a human experimental group could receive a new medication, a different form of counseling, or some vitamin supplements. A plant treatment group could receive a new plant fertilizer, more sunlight, or distilled water. The group that does not receive the treatment is called the control group

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

4×4×4=64 then you divide 2 will be 32

Answer:

32

Step-by-step explanation:

4x4=16

16x4=64

64/2=32

[tex]Hence,TheAnswerTo...\\\frac{4^{3} }{2} =32[/tex]

Answer:

24

Step-by-step explanation:

area = wl (6×4 = 24)

w width l length

Answer:

273.00

Step-by-step explanation:

Answer:

N=17

?=15

Explanation;

Check out my attached work

Hope it helps, let me know if you have any questions

Answer:

[tex]\tan (A+B) =-\frac{680}{111}[/tex]

Step-by-step explanation:

[tex]\tan A=\frac{12}{5}[/tex]

[tex]\cos B=\frac{45}{53}\implies \sec B=\frac{53}{45}[/tex]

Now, by trigonometric identity:

[tex]\tan^2 B =\sec^2B-1[/tex]

[tex]\implies \tan^2 B =\bigg(\frac{53}{45}\bigg)^2-1[/tex]

[tex]\implies \tan^2 B =\frac{(53)^2-(45)^2}{(45)^2}[/tex]

[tex]\implies \tan^2 B =\frac{(28)^2}{(45)^2}[/tex]

[tex]\implies \tan B =\pm\sqrt{\frac{(28)^2}{(45)^2}}[/tex]

[tex]\implies \tan B =\pm\frac{28}{45}[/tex]

It is given that: Angles A and B are in quadrant I.

---------------------> Angles A and B would be positive.

[tex]\implies \tan B =\frac{28}{45}[/tex]

Next,

[tex]\tan (A+B) =\frac{\tan A +\tan B}{1-\tan A \tan B}[/tex]

[tex]\implies \tan (A+B) =\frac{\frac{12}{5} +\frac{28}{45}}{1-\bigg(\frac{12}{5}\bigg) \bigg(\frac{28}{45}\bigg)}[/tex]

[tex]\implies \tan (A+B) =\frac{\frac{108}{45} +\frac{28}{45}}{1-\bigg(\frac{336}{225}\bigg)}[/tex]

[tex]\implies \tan (A+B) =\frac{\frac{136}{45}}{\bigg(\frac{225-336}{225}\bigg)}[/tex]

[tex]\implies \tan (A+B) =\frac{\frac{136}{45}}{\frac{-111}{225}}[/tex]

[tex]\implies \tan (A+B) =-\frac{680}{111}[/tex]

The equation of c is an illustration of subject of formula

The equation of c in terms of r and t is c = r - 15/t

The equation is given as:

t = 15/(r - c)

Cross multiply

t(r - c) = 15

Divide both sides by t

r - c = 15/t

Subtract r from both sides

-c = -r + 15/t

Multiply both sides by -1

c = r - 15/t

Take LCM

[tex]c = \frac{rt - 15}{t}[/tex]

Hence, the equation of c in terms of r and t is [tex]c = \frac{rt - 15}{t}[/tex]

Read more about subject of formula at:

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Answer:

ok

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

12(3)+12(5)=use a calculator.

Type it in a calculator.

Answer:

hj means has a job

nj means no job

Step-by-step explanation:

The center of a circle whose equation is x^2 +y^2 – 12x – 2y  +12 = 0 is (6,1)

The standard equation of a circle is expressed as:

x^2 + y^2 + 2gx + 2fy + c = 0

where:

(-g, -f) is the centre of the circle

Given the equations

x^2 +y^2 – 12x – 2y  +12 = 0

Compare

2gx = -12x

g = -6

Similarly

-2y = 2fy

f = -1

Centre = (6, 1)

Hence the  center of a circle whose equation is x^2 +y^2 – 12x – 2y  +12 = 0 is (6,1)

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Answer:

Step-by-step explanation:

The experimental probability of choosing Grace is 13.6% (17/125*100)

The theoretical probability of choosing Grace is 16.67% (1/6)

Each probability would change because they depend on the data set so if the data set changes, that means the probability will also change depending on the amount it changes.

the answer is ±5i :)

Answer:

QR = 14.00 cm to the neatest hundredth.

Step-by-step explanation:

This is a right triangle with < P = 90.

So QR is the hypotenuse.

< Q is the angle opposite to the line PR.

sin Q = opposite/hypotenuse = PR/QR

sin 40 = 9/QR

QR = 9/sin40

= 14.002 cm.

Answer:

y = 4(x+3)^2 - 3

Step-by-step explanation:

Vertex form  y = a(x+3)^2 -3    sub in   2,97   to calculate a

                     97 = a(2+3)^2 - 3

                        a = 4

===========================================================

Explanation:

The function can be broken down into the form

f(x) = g(x) - 3*h(x)

where,

g(x) = sin(x)

h(x) = cos(x)

Both g and h are sinusoidal with the same period of 2pi. Therefore, the linear combination of these functions is also sinusoidal with the same period of 2pi. If the periods didn't match up, then it's likely the function isn't sinusoidal and instead some other complicated crazy curve.

Extra notes:

Answer:

[tex] a = ( \frac{ - 6}{2} )[/tex]

Step-by-step explanation:

-2g=?

[tex] - 2( \frac{3 }{ - 1} ) \\ \\ ( \frac{ - 6}{2} )[/tex]

Answer:

5

Step-by-step explanation:

This line equation is in  y = mx + b form    m will be the slope

 m = 5     parallel line will have same slope  = 5  

[tex]\text{Endpoints of diameter,}~~ A(4,6)~ \text{and}~ B(-3,-1)\\\\\text{Diameter,}~AB = \sqrt{(4+3)^2+(6+1)^2}\\\\~~~~~~~~~~~~~~~~~~~=\sqrt{7^2+7^2}\\\\~~~~~~~~~~~~~~~~~~~=7\sqrt2\\\\\text{So , radius}~ = \dfrac{AB}2 = \dfrac{7\sqrt 2}2 =4.9~\text{units.}\\\\\text{Hence the answer is B.}[/tex]

Answer:

[tex]y = kx \\ formula \: connecting \: y \: and \: x[/tex]

Answer:

5

Step-by-step explanation:

Answer:

B) 868

Step-by-step explanation:

1. You add 700+300 which is 1000

2. You subtract the amount wasted or withdrawn which will get you 880

3. You subtract the fees which will then get you 868 as your answer

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the concept of Surface areas and volumes.

Here we will find surface areas by adding individual parts.

Surface area ==> Small rectangle + big rectangle + base rectangle + 2* right angled triangles.

so we get as,

area of shape = 721.1 yards.

option D.) is correct.

Answer:

4.

Step-by-step explanation:

Area = 1/2 * base + height

= 1/2 * 2 * 4

= 4 unit^2.

Answer:

1/21 * 7  = 1/3

Step-by-step explanation:

The numbers in 1/3 divided by 7 are labeled below:

To make it a fraction form answer, you keep the numerator and multiply the denominator by the whole number to make a new denominator:

1

-------

3 x 7

 =  

1

-----

21

Thus, the answer to 1/3 divided by 7 in fraction form is:

1/21

To make the answer to 1/3 divided by 7 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:

1/21 = 0.04761904761

1/21 * 7 = 0.3333333333.... ( 1/3 )

Answer:

broken

Step-by-step explanation:

when there isn’t an equals sign the line will always be broken