Rewrite the following polynomial in standard form.

9x + 1 - x^2

Answer:

25

Step-by-step explanation:

Since AC is similar to CE, we can say that they have equal lengths. We are given CE, DE, and BC. To solve this, we can solve for the length of CE (equal to AC) and then subtract that from BC.

To solve for CE, we are given DE and CE. We know that DE is 1/2 of CE because D is the midpoint of CE. Therefore,

7x-1 = 1/2(10x+18)

expand

7x-1 = 5x  + 9

add 1 to both sides to separate the 7x

7x = 5x + 10

subtract 5x from both sides to separate the x

2x = 10

divide both sides by 2 to separate the x

x=5

Therefore, DE = 7(5)-1 = 34 and CE = 10(5) + 18 = 68 = AC.

Using x=5, we know that BC  = 9(5) -2 = 43

Therefore, AB = AC-BC = 68-43 = 25

D is the midpoint of CE, so if you draw a line with those three points, it'll look like C-D-E.

Since DE = 7x-1, which also means CD = 7x-1.

CD + DE = CE, so (7x-1)+(7x-1) = 10x+18.

Therefore, x = 5 and CE = 68.

Since AC is congruent to CE, AC = 68.

Assuming the point B is somewhere between AC.

Since BC = 9x-2 and x = 5, which means BC = 43.

AC - BC = AB, so 68 - 43 = 25.

Therefore, AB = 25

Answer:

[tex]{ \tt{h(t) = - 10t + 6}} \\ - 44 = - 10t + 6 \\ - 10t = - 50 \\ t = 5[/tex]

Answer:

h(5)

Step-by-step explanation:

Equate - 10t + 6 and - 44 and solve for t

- 10t + 6 = - 44 ( subtract 6 from both sides )

- 10t = - 50 ( divide both sides by - 10 )

t = 5 , that is

h(5) = - 44

Answer:

Step-by-step explanation:

Answer: x = 7 and y = -2

Step-by-step explanation:

2x +3y = 8 ----------------(1)

x-y = 9 ----------------------(2)

multiply (2) by 2

2x-2y = 18--------------------(3)

subtract (2) from (3)

-5y = 10

Divide bothside by -5

y = -2

Similarly, multiply (2) by 3

3x-3y = 27-----------------------(4)

add (1) and (4) together

5x = 35

Divide bothside by 5

x= 7

Therefore, x =7 and y= -2

Answer:You can also use tables to represent functions. Instead of using two ovals with circles, a table organizes the input and output values with columns. ... Remember, a function can only assign an input value to one output value. If you see the same x-value with more than one y-value, the table does not represent a function.

Step-by-step explanation:

Answer:

1 minute and 12 seconds is 2 % of an hour.

Step-by-step explanation:

Answer:

12%

Step-by-step explanation:

Answer:

{(-4, - 2),(-1, - 1), (- 1,1),(3,5), (7, 10)} is not a function.

Step-by-step explanation:

For a function to be a function, there is only ever one y value per x value. In this set, -1 has two outputs, or y values. It has -1 and 1. As a result, this is not a function.

Answer:

quadratic

Step-by-step explanation:

hope you got it

Answer:

x = number of students tickets = 1,000

y = number of adults tickets = 250

Step-by-step explanation:

Let

x = number of students tickets

y = number of adults tickets

x + y = 1,250 (1)

2x + 3y = 2,750 (2)

Multiply (1) by 2

x + y = 1,250 (1) * 2

2x + 2y = 2,500 (3)

2x + 3y = 2,750 (2)

Subtract (3) from (2) to eliminate x

3y - 2y = 2,750 - 2,500

y = 250

Substitute y = 250 into (1)

x + y = 1,250

x + 250 = 1,250

x = 1,250 - 250

x = 1,000

x = number of students tickets = 1,000

y = number of adults tickets = 250

Answer:

4393 is divisible by 1 ,23 and 191

Answer:

the answer is 23

Step-by-step explanation:

Answer:

20+(-32)+16

Step-by-step explanation:

It goes up which is positive then goes down which is negative then goes back up which is positive

Answer:

Domain: {-3, -1, 1}

Range: {-1, 2, 4, 5}

Step-by-step explanation:

The domain is all the x-values, and the range is all the y-values. When listing values, repeated values are only written down once.

Answer:

Step-by-step explanation:

b + 70  = 180   {Supplementary angles}

b = 180 - 70

b = 110

a +b = 180   {Linear pair}

a + 110 = 180

a = 180 - 110

a = 70

d + 60 = 180  {linear pair}

d = 180 - 60

d = 120

c + d + 60 = 360   {one point angle}

c + 120 + 60 = 360

c + 180 = 360

c = 360 - 180

c = 180

f + 60 = 180   {Supplementary angles}

f = 180 - 60

f = 120

Answer:

(-0.5,2.5)

Step-by-step explanation:

The given equations are ,

[tex]\implies x + y - 2 = 0 [/tex]

[tex]\implies 3x - y +4 = 0 [/tex]

The point of intersection will be the solution of the given system of equations. Adding both , y will get cancelled . So that ,

[tex]\implies 4x +2 = 0 [/tex]

Now solve for x , we have ,

[tex]\implies 4x = -2 \\\\\implies x =\dfrac{-2}{4}\\\\\implies x = -0.5 [/tex]

Now put this value in any equation and solve out for y , we have ,

[tex]\implies -0.5 + y - 2 = 0 \\\\\implies y = 2.5 [/tex]

Therefore , the point of intersection will be ,

[tex]\implies\underline{\underline{ Point = (-0.5,2.5 ) }}[/tex]

Answer:

20 Lines

Step-by-step explanation:

According to the Question,

Now,  the total pairs of points which can be formed is 9

And, the line passing through 2 such points 9c2 = 9! / (2! x 7!) = 9x4 ⇒ 36

Here, We have overcounted all of the lines which pass through three points.

And, each line that passes through three points will have been counted 3c2 = 3! / 2! ⇒ 3 times

Now, the sides of the square consist of 3 points. We have counted each side thrice, so 4*2 are repeated.

Answer:

The answer is "[tex]y\approx 1.4[/tex]".

Step-by-step explanation:

In the given question the y-coordinates range between -1 to -2. Its distance between -1 and -2 is near, and less than halfway.

Answer:

b

Step-by-step explanation:

Answer:

1.likely. 11.likely

2. likely. 12.likely

3. likely. 13.likely

4. unlikely 14. unlikely

5. likely. 15. likely

6. likely

7. likely

8. likely

9. likely

10. likely

Step-by-step explanation:

im correct if I'm rwong

Answer:

2.35 x 10^3

Step by Step:

2.35 x 10^3

Answer:

8.4 miles

Step-by-step explanation:

Given that :

Total time taken = 78 minutes = 78/60 = 1.3 hours

To Speed = 14 mph

Fro Speed = 12 mph

Let the distance be represented as, d

Distance = speed * time

Time = distance / speed

To time + Fro time = 1.3 hours

d / 14 + d / 12 = 1.3 hours

Take lcm of 14 and 12 ; = 84

(6d + 7d) / 84 = 1.3

13d /84 = 1.3

13d = 1.3 * 84

13d = 109.2

d = 109.2 / 13

d = 8.4 miles

The distance is 8.4 miles

Answer:

65 m²

Step-by-step explanation:

Area 1 :-

Area 2 :-

Area 3 :-

Total Area :-

Answer:

[tex]q < 33[/tex]

Step-by-step explanation:

[tex]q < 11 \times 3[/tex]

[tex]q < 33[/tex]

Answer:

33

Step-by-step explanation:

q/3<11

q=11×3

q=33

:. The answer is 33.

Answer:

4/9 of an hour (26.666 minutes)

Step-by-step explanation:

4 * x * 40/60 = 1

x * 160/60 = 1

x=60/160 = 6/16 = 3/8 (this is the rate for one worker)

~~~~~~~~~~~~~~~~

6 * (3/8) * x = 1

x = 4/9

From one of the trigonometric ratios, tan(x), it is possible to find that x is equal to 52.1°.

The main trigonometric ratios for a right triangle are presented below.

                [tex]sin(x)= \frac{opposite\; side}{hypotenuse} \\ \\ cos(x)= \frac{adjacent\; side}{hypotenuse} \\ \\tan(x)= \frac{sin(x)}{cos(x)} =\frac{opposite\; side}{hypotenuse}* \frac{adjacent\; side}{hypotenuse}=\frac{opposite\; side}{adjacent\; side}[/tex]

For solving this question, you need to apply the a trigonometric ratio . You have the dimensions of two sides and you need to find the angle x.

Thus, you can apply the tan(x).

                       [tex]tan(x)= \frac{opposite\; side}{adjacent\; side}=\frac{36}{28} =\frac{9}{7}[/tex]

After that, you should calculate the arctan(x).

                           [tex]arctan\left(\frac{9}{7}\right)=52.1^{\circ \:}[/tex]

Then x= 52.1°

Learn more about trigonometric ratios here:

brainly.com/question/11967894

Answer:

I think the answer is option C

Answer:

x = sqrt(3)

Step-by-step explanation:

Use Thales theorem

Answer:

Amount of plastic need to cover paper role = 565.2 inches

Step-by-step explanation:

Given:

Diameter of paper role = 10 inch

Height of paper role = 13 inch

Find:

Amount of plastic need to cover paper role

Computation:

Radius of paper role = Diameter of paper role / 2

Radius of paper role = 10 / 2

Radius of paper role = 5 inch

Amount of plastic need to cover paper role = Total surface area of cylinder

Amount of plastic need to cover paper role = 2πr(h+r)

Amount of plastic need to cover paper role = 2(3.14)(5)(13+5)

Amount of plastic need to cover paper role = (3.14)(10)(18)

Amount of plastic need to cover paper role = 565.2 inches

Given:

Divide 73.85 by 4.1.

To find:

The first step when applying properties of operations to divide 73.85 by 4.1.

Solution:

We have,

Divide 73.85 by 4.1 [tex]=\dfrac{73.83}{4.1}[/tex]

Here, the dividend is 73.83 and divisor is 4.1.

First, we have to remove the decimals.

In numerator we have to digits after decimal and in denominator we have 1 digit after decimal.

So, multiply the divisor and dividend by 100 to remove the decimal.

Therefore, the first step is "Multiply the divisor and dividend by 100".

Answer:

B

Step-by-step explanation:

What is the first step when applying properties of operations to divide 73.85 by 4.1?

Answer:

6 days

Step-by-step explanation:

No. of students | No. of days

10                       | 9

15                       | [tex]\frac{10}{15}[/tex] × 9 = 6

Since the number of students and the number of days is inversely proportionate (when one increases by a certain extent, the other decreases by the same extent), we can calculate the number of days by multiplying the number of days by the fraction of the number of students proportionate to the number of days and the number of students you want to find the number of days for.

It would take 6 days.