Perform the operation
(10x² – x + 1) – (9x – 2)
Help ASAP please

9514 1404 393

Answer:

  yes

Step-by-step explanation:

It is a one-term polynomial called a monomial.

The variables all have positive integer exponents (1).

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:

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:

Slope = 4

Rule: y= 4 x +8

X- intercept when y = 0

X = -2

did it on edjinuty and got it right

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:

sin23=x/12

sin23(12)=x

0.391(12)=x

x=4.7 or 5

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:

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:

4

Step-by-step explanation:

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:

30 that singular tickets for each friend and if your asking for total it would be 120. :)

Step-by-step explanation:

They paid 100 but they had a 20$ off coupon, this means the orignial total would be $120 so 120 divided by 4 (there's four people) = $30 each :)

hope this helped

Answer:

Step-by-step explanation:

1

Answer:

29:17

17:46

29:46

17:29

Step-by-step explanation:

In this problem, we are given three quantities and all we have to do is to write ratios relating two of them. Since all the numbers are relatively prime, we can no longer simplify the ratios.

Problem 1:

29 girls is to 17 boys

29:17

Problem 2:

17 boys is to 46 learners

17:46

Problem 3:

29 girls is to 46 learners

29:46

Problem 4:

17 boys is to 29 girls

17:29

In these problems, it's usually as simple as putting two or three numbers together and reducing them into simplest form.

(credits to ethananilovnorcio for the answer)

To determine whether two cylinders contain the same volume of water, each ... markers have been set up to determine the number of miles run by each participant ... each month her loan value could be modeled by the expression 18,000(0.98) ... Explain in words how you know if a solution to a quadratic equation is complex. The expression can be rewritten as 5x+2=x+x+x+x+x+1+1 . ... Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) ... Explain your answer. ... Consider the first expression for any non-zero values of the variable. ... *See complete details for Better Score Guarantee.

Answer:

6x-5

Step-by-step explanation:

3(2x-3)+4

6x-9+4

6x-5

Answer is 6x-5

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:

3.875 points

Step-by-step explanation:

15.5/4=3.875

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:

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:

3.5%

Step-by-step explanation:

Given data

A=$6225

P=$5000

T= 7years

R=???

Simple interest

A=P(1+rt)

substitute

6225=5000(1+7r)

6225=5000+35000r

collect like terms

6225-5000=35000r

1225=35000r

r= 1225/35000

r=0.035

Hence the rate is 0.035*100= 3.5%

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:

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:

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:

[tex]7xy^{2} \sqrt[3]{2xy}[/tex]

Step-by-step explanation:

[tex]\sqrt[3]{686x^{4} y^{7}}[/tex]

[tex]686 = 343 * 2[/tex]

[tex]x^{4} = x^{3} * x[/tex]

[tex]y^{7} = y^{3} * y^{3} * y[/tex]

[tex]\sqrt[3]{343} =7[/tex]

[tex]\sqrt[3]{x^{3}} = x[/tex]

[tex]\sqrt[3]{y^{3}* y^{3}}[/tex] = [tex]y^{2}[/tex]

so you're left with 2, x, and y inside the cube root, and 7, x, and y^2 outside

[tex]7xy^{2} \sqrt[3]{2xy}[/tex]

Answer:

[tex]E =[/tex] [tex](-3,3)[/tex]

Step-by-step explanation:

The question has missing parameters.

The (missing) given coordinates are:

[tex]D(x_1,y_1) = (-2,-4)[/tex]

[tex]F(x_3,y_3) = (0,7)[/tex]

[tex]G(x_3,y_4) = (1,0)[/tex]

Required

Find the coordinates of [tex]E(x_2,y_2)[/tex]

To do this, we make use of mid-point formula which is:

[tex]M = (\frac{x_1+x_3}{2},\frac{y_1+y_3}{2})= (\frac{x_2+x_4}{2},\frac{y_2+y_4}{2})[/tex]

This gives:

[tex](\frac{-2+0}{2},\frac{-4+7}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]

[tex](\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})[/tex]

Multiply through by 2

[tex]2 * (\frac{-2}{2},\frac{3}{2})= (\frac{x_2+1}{2},\frac{y_2+0}{2})*2[/tex]

[tex](-2,3) = (x_2+1,y_2+0)[/tex]

[tex](-2,3) = (x_2+1,y_2)[/tex]

By comparison:

[tex]-2 = x_2 + 1[/tex] and [tex]3= y_2[/tex]

So, we have:

[tex]-2-1=x_2[/tex] and [tex]3= y_2[/tex]

[tex]-3 = x_2[/tex] and [tex]3 = y_2[/tex]

This gives:

[tex]x_2 = -3[/tex] and [tex]y_2 =3[/tex]

Hence, the 4th coordinate is: [tex](-3,3)[/tex]

Answer:

m=3 or m=1

since m+2=_1

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

m=3 or m=1

Answer: 18

Step-by-step explanation:

3(3)(2)

=(3)(6)

=18