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Factorial Expressions

Answer:

-12

Step-by-step explanation:

as the poem goes,

if you are bad at being good then you are bad

if you are good at being good then you are good

if you are bad at being bad then you are good

if you are good at being bad then you are good

take the third line into account

-12 - -12 is the same as -12 + 12 = 0

Answer:

12units²

Step-by-step explanation:

Given a triangle that has sides that measure 2 units, 5 units, and 5.39 units,

Perimeter of the triangle = 2 + 5 + 5.39

Perimeter of the triangle = 12.39units

since the circumference is equal to the perimeter of the triangle, hence;

C = 12.39units

C = 2πr

r is the radius of the circle

12.39 = 2(3.14)r

12.39 = 6.28r

r = 12.39/6.28

r = 1.973 units

Get the area

Area = πr²

Area of the circle = 3.14(1.973 )²

Area of the circle = 3.14(3.892)

Area of the circle = 12.22units²

Area of the circle ≈ 12units²

Answer:

D. 12 units2

Answer:

V'(5, - 6)

Step-by-step explanation:

V(-5, 6)

For a counterclockwise rotation at 180°about the origin ;

The point (a, b) becomes - - - - > (-a, - b)

Therefore,

If ; V(-5, 6) is rotated 180° counterclockwise about the origin, we have ;

V(-5, 6) - - - - > V'(5, - 6)

Answer:

The distance from the ball to the left post is 50 feet.

Step-by-step explanation:

Since a soccer goal is composed of a pair of 8 ft upright posts, positioned 48ft apart with a horizontal crossbar and netting boxing in the goal, and a soccer ball is positioned directly in front of the right goal post at a distance of 14ft, to To determine what is the ground distance from the ball to the left goal post, the Pythagorean theorem must be applied through the following calculation:

A ^ 2 = B ^ 2 + C ^ 2

A ^ 2 = 14 ^ 2 + 48 ^ 2

A ^ 2 = 196 + 2,304

A = √2500

A = 50

Thus, the distance from the ball to the left post is 50 feet.

Answer:

(p - 4)(p + 4)

Step-by-step explanation:

p² - 16 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , then

p² - 16

= p² - 4²

= (p - 4)(p + 4)

Answer:

4

Step-by-step explanation:

Answer:

Both coordinates should be negative

Step-by-step explanation:

When you go to plot a point, you always start at (0,0). Since you go left 0.5 units, that would put you at -0.5, then you go down 0.25 units which would put you at (-0.5, -0.25). The result would be (-0.5, -0.25). Hope this helps! :)

Answer:

Area of the running track = 6900 m²

Step-by-step explanation:

Length of a football pitch = 120 m

Width of the football pitch = 80 m

Area of the football pitch (Inner rectangle) = Length × Width

                                                                      = 120 × 80

                                                                      = 9600 m²

If a running track (width = 15 m) is built around the football pitch,

Length of the outer rectangle = 120 + 2×(15)

                                                  = 120 + 30

                                                  = 150 m

Width of the outer rectangle = 80 + 2×(15)

                                                = 110 m

Area of the outer rectangle = 150 × 110

                                              = 16500 m²

Therefore, area of the track around the football pitch = Outer rectangle - Inner rectangle

= 16500 - 9600

= 6900 m²

Area of the running track = 6900 m²

Answer:

1/6 hours

Step-by-step explanation:

Since it wants a fraction form all you have to do is subract 1/3 from 1/2

1/2 - 1/3

cross multiply:

3/2-2/3

subtract the numerator but multiply the denominator and simplify if you have to:

1/6

Answer:

60º

Step-by-step explanation:

they key word here is difference meaning we need to subtract

specifically, we need to subtract 75 from 135 to find the difference in degrees, hence the number of degrees between the two settings:

135º - 75º = 60º

Answer:

sin23=x/12

sin23(12)=x

0.391(12)=x

x=4.7 or 5

Answer:

25

Step-by-step explanation:

2+5=7

25 reversed is 52

52-25=27

Answer:

25

Step-by-step explanation:

2+5=7

25 reversed is 52

52-27=25

Answer:

277.778 m/s

Step-by-step explanation:

just divide by 3.6

Answer:

3.875 points

Step-by-step explanation:

15.5/4=3.875

Answer:

I don't know how I would know but if he takes 30 minutes or less on each individual activity then he is correct, if he exceeds those limits, he is incorrect.

Step-by-step explanation:

Answer:

[tex]x=16.4\ y=13.7[/tex]

Step-by-step explanation:

[tex][Kindly\ refer\ the\ attachment.]\\We\ are\ given\ that,\\\triangle ABC\ is\ a\ right-triangle\ and\ has\ it's\ legs\ x\ and\ z.\\It's\ altitude\ CD\ separates\ it\ into\ two\ triangles:\\\triangle BCD\ and\ \triangle ADC,\ both\ of\ which\ are\ right-triangles.\\Now,\\The\ Pythagoras\ Theorem\ tells\ us\ that:\\'The\ sum\ of\ squares\ of\ both\ the\ legs\ is\ equal\ to\ the\ square\ of\ the\\ hypotenuse'.\\Here,\\Lets\ consider\ three\ triangles\ separately.\\[/tex]

[tex]In\ \triangle ADC\ right\ angle\ is\ at\ \angle ADC.\\Hence,\\AC\ is\ the\ hypotenuse, and\ AD\ and\ DC\ are\ it's\ legs.\\Hence,\\AD^2+DC^2=AC^2\\Or,\\9^2+y^2=x^2\\\\Lets\ take\ the\ above\ equation\ as\ E_1.[/tex]

[tex]In\ \triangle BDC\ right\ angle\ is\ at\ \angle BDC.\\Hence,\\BC\ is\ the\ hypotenuse, and\ DC\ and\ DB\ are\ it's\ legs.\\Hence,\\DC^2+DB^2=BC^2\\Or,\\21^2+y^2=z^2\\Lets\ take\ the\ above\ equation\ as\ E_2.[/tex]

[tex]Now,\\In\ whole\ \triangle ACB\ right\ angle\ is\ at\ \angle ACB.\\Hence,\\AB\ is\ the\ hypotenuse, and\ AC\ and\ BC\ are\ it's\ legs.\\Hence,\\AC^2+BC^2=AB^2\\Or,\\x^2+z^2=(21+9)^2=30^2\\Lets\ take\ the\ above\ equation\ as\ E_3.[/tex]

[tex]Lets\ now\ gather\ the\ three\ equations:\\9^2+y^2=x^2\\21^2+y^2=z^2\\x^2+z^2=30^2\\Now,\\Lets\ pair\ and\ add\ E_1\ and\ E_2.\\Hence,\\(9^2+y^2)+(21^2+y^2)=(x^2)+(z^2)\\Hence,\\81+y^2+441+y^2=x^2+z^2\\Hence,\\2y^2+522=x^2+z^2\\Considering\ E_3,\\We\ already\ know\ that,\\x^2+z^2=30^2\\Hence,\\2y^2+522=30^2\\Hence,\\2y^2+522=900\\2y^2=900-522=378\\Hence,\\y^2=\frac{378}{2}=189\\Hence,\\y=\sqrt{189}=13.7\\[/tex]

[tex]Plugging\ in\ y=13.7\ in\ E_1,\\9^2+(13.7)^2=x^2\\81+189=x^2\\x^2=270\\x=\sqrt{270}=16.4[/tex]

Answer:

y=-7

Step-by-step explanation:

first, you want variables on one side, numbers on the other side of the equation.

4y+4=2y-10

*plus ten on both side to get rid of -10*

4y+14=2y

*minus 4y on each side to get rid of 4y*

14=-2y

*divide by -2 on each side to get the value of just one y itself*

y=-7

Answer:

-2, 0, and 2

Step-by-step explanation:

For x=0:

2(0) -2

0-2

-2

For x=1:

2(1)-2

2-2

0

For x=2:

2(2)-2

4-2

2

Answer:

its -1, 0, 2

Step-by-step explanation:

Question :

Gabriel has a candy box containing 9 chocolates candies and 12 lollipops. If he choose 2 of them at random.

a) What is the probability that he gets 2 lollipops?

b) What is the probability that he gets 2 chocolates?

c) What is the probability that he gets at least 1 lollipop and 1 chocolate?

Answer:

First we need to calculate the total no. of items. In this case it is the no. of chocolate candies + the no. of lollipops which is, 9 + 12 = 21.

Now we can solve the questions.

a) P (2 lollipops) = 2/21.

b) P (2 chocolates) = 2/21.

c) P (at least 1 lollipop & 1 chocolate) = 2/21.

Note : P(x) is read as probability of getting x is....

Answer:

A)21/2

b)21/2

3)21/2

Step-by-step explanation:

Answer: 18

Step-by-step explanation:

3(3)(2)

=(3)(6)

=18

Answer:

a.

Step-by-step explanation:

A proportional relationship is going to be a straight line that passes through the origin. The only graph that fits that criteria is graph a.

Answer:

a and c

Step-by-step explanation:

both of them go up linear-ly

Answer:

4 hair bow

Step-by-step explanation:

if 1/4 can make 1 hair bows you can make 4 hair bows

, it's simple 4/1=4

Answer:

4 ribbons as 1/4 is used to make one so an entire yard can be used to make  4

this can be prooved by using division

1÷1/4

making their  denominators equal

=(1/1*4)÷(1/4*1)

=4/4÷1/4

=4

Answer:

m=3 or m=1

since m+2=_1

therefore m=2+1 or m=2-1

m=3 or m=1

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Answer:

y=16x+9

Step-by-step explanation:

y-y1=m(x-x1)

y-9=16(x-0)

y-9=16(x)

y-9=16x

y=16x+9

Answer:

Slope = 4

Rule: y= 4 x +8

X- intercept when y = 0

X = -2

did it on edjinuty and got it right