Work backward to solve.
What is the starting position (x, y)?

Answer:

[tex] \frac{x + 2}{ {x}^{2} - x - 20 } [/tex]

Step-by-step explanation:

Since the roots are -4 and 5, we can write that as

[tex](x + 4)(x - 5)[/tex]

Apply foil method to find our denominator.

We get

[tex] {x}^{2} - x - 20[/tex]

So that our denominator.

Since our denomiater gives us interger asymptote, our degree in our numerator must be 1 so the answer has to be a single interger or a single term.

Since our x intercepts is -2, we use

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

So our rational denomiater is

[tex] \frac{x + 2}{ {x}^{2} - x - 20 } [/tex]

Answer:  104 i think is your answer hope this helped

plz make brainly

Step-by-step explanation:

Answer:

the first step is to divide two by three x

Answer:

x = 12

Step-by-step explanation:

Eliminating the fractional coefficient would be a great start:

8 = (2/3)x becomes 24 = 2x after multiplication of both sides by 3.

Then x = 12

Answer:

C. Zero

Step-by-step explanation:

The solution of the system of equations would be the point where they intersect, but since these lines are parallel, they will never intersect, so therefore there are zero solutions.

The equivalent of the complex number expression is [tex]\sqrt{60i - 11}[/tex] is 2 + 15i

The complex number expression is given as:

[tex]\sqrt{60i - 11}[/tex]

Rewrite as:

[tex]a + bi = \sqrt{60i - 11}[/tex]

Take the square of both sides

[tex]a^2 + 2abi - b = 60i - 11[/tex]

By comparison, we have:

a^2 - b = -11

2ab = 60

Divide both sides by 2

ab = 30

Using a graphical tool, we have:

a = 2,b = 15

So, we have:

a + bi = 2 + 15i

Read more about complex numbers at:

https://brainly.com/question/10662770

#SPJ1

Answer:

a=12

Step-by-step explanation:

We must use SOH, CAH, TOA

SOH= Sin0=opp/hyp

CAH=Cos0=adj/hyp

TOA= Tan0=opp/adj

Since we have opposite and hypotenuse we use Sin ratio, in this case,

sin30°= [tex]\frac{a}{24}[/tex]

[tex]\frac{1}{2}[/tex]=[tex]\frac{a}{24}[/tex] we cross multiply

[tex]\frac{2a}{2}[/tex]=[tex]\frac{24}{2}[/tex]divide both sides by 2 to get a by itself

a=12

Answer:

a = 12

Step-by-step explanation:

To find a, we will use the trigonometric ratio of Sin, since the opposite side of the angle given needs to be found out and the hypotenuse is given;

Sin(30) = [tex]\frac{a}{24}[/tex]

Sin(30) * 24 = a

12 = a

Hope this helps!

Answer:

22

Step-by-step explanation:

Answer:

The coordinates of P' are [tex]P'(x,y) = (1, 0)[/tex].

Step-by-step explanation:

The coordinates of the point P' is determined by the following expression:

[tex]P'(x, y) = P(x,y) + T(x,y)[/tex] (1)

Where:

[tex]P(x,y)[/tex] - Original point.

[tex]P'(x,y)[/tex] - Translated point.

[tex]T(x,y)[/tex] - Translation vector.

If we know that [tex]P(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-2, 3)[/tex], then the coordinates of point P':

[tex]P'(x,y) = (3, -3) + (-2, 3)[/tex]

[tex]P'(x,y) = (1, 0)[/tex]

The coordinates of P' are [tex]P'(x,y) = (1, 0)[/tex].

Hello~

The answer is

-8884

Brainliest please!

Ary~

Step-by-step explanation:

[tex]600 - 9484 \\ = - 8884[/tex]

[tex]\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘[/tex]

Answer:

x = 14

Step-by-step explanation:

arc JL = 180° ( JL is a diameter ), then

arc KL = 180° - 31° = 149° , so

9x + 23 = 149 ( subtract 23 from both sides )

9x = 126 ( divide both sides by 9 )

x = 14

Answer:

X=14

Step-by-step explanation:

360-31-31=298

298/2=149

149-23=126

126/9=14

Answer:

You don't have a picture

Step-by-step explanation:

Answer:

Hmmm the picture....? Please send it

Answer: Step-by-step explanation:

57 - 10x = 45

-10x=-12

x=1.2

- 3y + 10x = -5

-3y+10=-5

-3y=-15

y=5

Answer:

1) 57 - 10x = 45 answer: x=−51/5

2) - 3y + 10x = -5 answer: x=3/10y+−1/2 or y=10/3x+5/3

Step-by-step explanation: Hope this help :D

Answer:

A

Step-by-step explanation:

Since she's not spending more than $32, the equation is 2h + 8 ≤ 32.

Isolate h to find the maximum number of hours she can rent the boat:

2h + 8 ≤ 32

First, subtract 8 from both sides.

2h ≤ 16

Then divide both sides by 2.

h ≤ 8

h, the number of hours, must be less than or equal to 8, so 8 is the maximum number of hours Bernice can rent the boat for.

Answer:  B: 0.81 miles

Step-by-step explanation:

The find the total distance, you must look for firs the missing side. To get use the formula that is derived from the Pythagorean theorem which states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

The formula for this is: a^2 + b^2 = c^2

So let the first side or a be .19

and the second side be .28

and now we are looking for c which is the missing side

.19^2 + .28^2 = c^20.0361 + 0.784 = .1145

get the square root of .1145

√.1145 = it is approximately 0.34

get the total distance by adding three sides

= .34 + .19 + .28

= 0.81

Answer:

0.68

Step-by-step explanation:

you got to multiply

Answer:

149cm^2

Step-by-step explanation:

big brain

Answer:

114cm²

Step-by-step explanation:

Okay, so you can split this thingy up into a rectangle and another rectangle, so that's what we're going to do (see pic below)

So now we take off that 7 from the 13:

13 - 7 = 6

So now we find the area of that little area:

6 x 5 = 30

Now we do the other rectangle:

12 x 7 = 84

Now we add them together:

84 + 30 = 114

So the area of the shape is 114cm²

hope this helps:)

Answer:

D. 2 = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define

x³ + 3x² = x + 3

x = -1

Step 2: Check

Answer:

C. 12

Step-by-step explanation:

Find the percentage of him drawing a blue marble.

4/10 = 0.4

He has a 40% chance of picking blue.

Find 40% of 30.

12

He would draw a blue marble around 12 times.

Answer:

C

Explanation:

So in the bag, there are 10 marbles, and 4 of them are blue, so if he drew from the bag 10 times, we can assume the fraction:

4/10

Next, we see that the denominator, or the number times Cade is drawing from the bag is 30, which makes us multiply most sides of the fraction by 3:

12/30

So I would say 12/30, but again, he wouldn't draw a blue exactly 4 times, and it may be more or less, so either 8/12....

Hope this helps!

Answer:

I believe that the answer is a

Step-by-step explanation:

tangent is

opposite/adjacent

Answer:

i think its G cause 25% but you don't have the time listed

Step-by-step explanation:

Answer:

I agree with the other person who answer 25% I thinking it's either H or G but im not sure

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

(2, -3), (3, -3)

Step-by-step explanation:

y = x^2 - 5x + 3

y = -3

x^2 - 5x + 3 = -3

x^2 - 5x + 6 = 0

(x - 3)(x - 2) = 0

x - 3 = 0 or x - 2 = 0

x = 3 or x = 2

We are given y = -3.

Answer: (2, -3), (3, -3)

Answer:

(2, -3) , (3, -3)

Step-by-step explanation:

One is asked to find what values of the parameter (x) will yield the result (f(x)=-3) if the function (f(x)) is the following,

[tex]f(x)=x^2-5x+3[/tex]

Set this equation up, and solve to find the value of (x) that satisfies this requirement:

[tex]f(x)=x^2-5x+3=-3[/tex]

Inverse operations,

[tex]x^2-5x+6=0[/tex]

Factor, rewrite the quadratic equation as the product of two linear equations,

[tex](x-2)(x-3)=0[/tex]

Therefore the solutions are the following, the (x-coordinate) represents the input, and the (y-coordinate) represents the output.

(2, -3), (3, -3)

Answer:

176 cm

Step-by-step explanation:

Area of a triangle = h b/2

8 * 11 ÷ 2 = 44 cm

Area of a rectangle = l * w

12 * 11 = 132 cm

Add both areas together

44 + 132 = 176 cm

Answer:

x = 1.99359

Step-by-step explanation:

Answer: x  ≈  −  1.99825808  ,  1.99359054

Step-by-step explanation:

Answer:

Step-by-step explanation:

38 or 37.7 when not rounded

hope this helps

Answer:

7

Step-by-step explanation: Ok this coming from a 11 year old. if 7x3= 21 then add 4 its 25 simple

Note that the formula for the circumference of a circle is πd, while the formula for the area of a circle is πr².

π≈3.14

A. C=πd

Simply plug in the numbers into the formula.

Diameter=Radius*2

17*2=34

C=34(π)

B. (π)(5²)

Plug in the numbers into the formula. Remember that half of the diameter is the radius.

C.  (π)(4.5)

There are two possible formulas that could be used to calculate the circumference of a circle: πd and 2πr.

The expression above is simply multiplying the circle's radius times pi. Therefore, it is not a method that could be used to find the circumference of a circle.

D. (π)(6.5²)

Remember that the formula for calculating the area of a circle is πr².

Half of the diameter is 6.5 (13.5/2=6.5). 6.5 cm. is the radius. Now just plug the numbers into the formula.

(π)(6.5²)

Therefore, the last answer choice is the correct answer.

Answer:

270cm squared

area of shaded part rectangle is 180

are of triangle is 48 and 42 respectively you add the three to get 270

Answer:

p/2 - 25 = 150

Step-by-step explanation:

I'll try my best.

$150 would be the initial value, so we would use that for the base.

$25 less means subtract 25 dollars in this context.

2 times means multiply by 2.

"$150 was $25 less than 2 times the amount he paid for it ([tex]p[/tex])."

[tex]\frac{p}{2} -25 = 150[/tex]

If you were to solve this:

[tex]\frac{p}{2} -25 = 150[/tex]

[tex]\frac{p}{2} =175[/tex]

[tex]p=350[/tex]

The answer I get from the equation would be $350.

If you input 350 into it:

[tex]\frac{(350)}{2} -25[/tex]

[tex]175 -25[/tex]

[tex]150[/tex]

Answer:

P = 150 ÷ 2 - 25 = p

Step-by-step explanation:

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept. If you know two points that a line passes through, this page will show you how to find the equation of the line.

Given: Harry bought a broken motor scooter, fixed it, and sold the scooter for $150. $25 less than 2 times the amount he paid for it.

To find: Which equation can be used to find, p, the amount of money Harry originally paid for the scooter?

Solution: It says; "That was $25 less than 2 times the amount he paid for it"

With that said, find the amount that is 2 times more than 150. To find that, the opposite of times is division, so divide 150 by 2

[tex]150[/tex] ÷ [tex]2 =[/tex] [tex]75[/tex]

Now that has been found, the next thing to find is $25 less, less means subtract. To calculate the amount Harry originally paid for the scooter, subtract 25 from 75

[tex]75 - 25 = 50[/tex]

Therefore, the amount of money Harry originally paid for the scooter is $50

Hence, the equation can now be found as; P = 150 ÷ 2 - 25 = p

Answer:

-11

Step-by-step explanation:

Lets rewrite the equation with the values

-(-3) - 2³ + ab

3 - 8 + (-3*2)

-5 + -6 = -11

-11

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

-11

Step-by-step explanation:

Simply plug in a=-3 and b=2 into the equation provided. Remember the signs (+/-) and be careful with your calculations.

-(-3) - (2)^3 + (-3)(2)  = -11