What is the complete factorization of x2 + 4x − 45?

Answers

Answer 1

Answer:

(x-5) (x+9)

Step-by-step explanation:

what multiplies to -45 but adds to positive 4?  -5 and 9. that's how you get (x-5) (x+9)


Related Questions

An airplane is flying 2 miles over the ocean directly toward a coastline. If the angle of depression to the coastline from the airplane is 15 degrees, how much farther does the airplane have to fly before it is directly above the coastline? Round to the nearest tenth.

Answers

The airplane has to fly approximately 7.47 miles farther before it is directly above the coastline (rounded to the nearest tenth).

Here,

Let's consider the situation described in the problem:

An airplane is flying 2 miles over the ocean, directly toward a coastline. The angle of depression from the airplane to the coastline is 15 degrees. We want to find out how much farther the airplane has to fly before it is directly above the coastline.

Let's represent the distance the airplane needs to fly before it is directly above the coastline as "x" miles.

Now, we have a right-angled triangle formed by the airplane, the coastline, and the point directly below the airplane on the coastline (the foot of the perpendicular).

The angle of depression is the angle between the horizontal line (the coastline) and the line of sight from the airplane to the foot of the perpendicular.

Since we know the angle of depression and the length of the opposite side (the height of the airplane above the coastline, which is 2 miles), we can use trigonometry (specifically, the tangent function) to find the length of the adjacent side, which is the distance the airplane needs to fly (x miles).

The tangent of an angle in a right-angled triangle is defined as the ratio of the length of the opposite side to the length of the adjacent side:

tan(angle) = opposite / adjacent

In our case, the angle is 15 degrees, the opposite side is 2 miles, and we want to find the adjacent side (x miles):

tan(15°) = 2 / x

Now, solve for x:

x = 2 / tan(15°)

Using a calculator:

x ≈ 2 / 0.26794919243 ≈ 7.47 miles

So, the airplane has to fly approximately 7.47 miles farther before it is directly above the coastline (rounded to the nearest tenth).

To learn more trigonometry click:

brainly.com/question/26719838

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4. Komal sells five cups of hot chocolate for R30.
She writes the record of her sales in the equation 5x = 30.
If x is the cost of each cup of hot chocolate, at what price did
Komal sell each cup?​

Answers

Answer:

R6 for each cup

Step-by-step explanation:

5x=30

Divide 5 from both sides

5x/5=30/5

x=6

Hope this helps

Which point is located on ray PQ−→−? A line contains points M, N, O, P, Q, R, S with arrows instead of endpoints. point M point M point N point N point O point O point R

Answers

Answer:

R and S

Step-by-step explanation:

Given

See attachment for plot

Required

Point on ray PQ

A ray is a line with a starting point, and  extends infinitely in the other direction.

So;

Ray PQ implies that.

P is the starting point, and it extends towards Q direction (however, it is endless).

Towards the direction of Q, we have points R and S.

This implies that R and S are on ray PQ.

Tatiana is playing a video game. She earns 25 points when she completes Level 1. Each time she completes a level, she earns three times as many points as the previous level.

How many points will Tatiana earn when she completes Level 7?

Answers

Answer:

18,225

Step-by-step explanation:

L1=25

L2=75

L3=225

the pattern is (25)* 3^(n-1)

L1=3^0*25 = 25

L2=3^1*25 = 3* 25 = 75

L3=3^2*25 = 9* 25 = 225

.

.

L7=3^6*25 = 729* 25 = 18,225

When she completes level 6 she will have 18,225

Please help! Giving out brainliest if correct

Answers

Answer:

[tex] \sin(43) = \frac{27}{x} [/tex]

Please please help me

Answers

Answer:

49

Step-by-step explanation:

49 because 7x7 is 49

I I don’t understand this could someone try it’s geometry

Answers

Answer:

1)BX = 20

2)MT = 23.3

3)QD = 14.4

4)SN = 23.5

5)XZ = 36

6)DF = 24

7)BD = 43.8

8)HZ = 12

9)UW = 40

10)CS = 11.6

Step-by-step explanation:

1) BX = 1/2(VX) = 40/2 = 20

2)MT = 1/2(RT) = 46.6/2 = 23.3

3) QD = BQ = 14.4

4)LS + SN = 23.5

5)XH = 1/2(XZ) = 18 * 2 = 36

6)DG = 1/2(DF) = 12 * 2 = 24

7)BJ = 1/2(BD) = 21.9 * 2 = 43.8

8)XH = HZ = 12

9)UW = 2(UJ) = 20 * 2 = 40

10) CS = 1/2(US) = 23.2/2 = 11.6

If my answer is incorrect, pls correct me!

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

-Chetan K

PLEASE HELP ME

EXPLANATION = BRAINLIEST

Each gridline represents one mile. If Ryan drove from home to the soccer field and then from the soccer field to the library, traveling in a straight line to each destination, he would have traveled ___ miles by the time he reached the library.

Answers

Answer:

13 miles

Step-by-step explanation:

Distance from home to Field :

4² + 3² = d²

16 + 9 = d²

25 = d²

d = 5 miles

Field to Library :

8 lines so 8 miles

Total :

5 + 8 = 13 miles

He traveled 13 miles

If my answer is incorrect, pls correct me!

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

-Chetan K

What did You Understand In this Picture

Answers

15 + (-46) +29 = -2

(Seems clear to me)

what is the vertices of hexagon

Answers

Number of vertices of hexagon is 6

Answer:

A Hexagon has 6 sides so 6 Vertices

Daniel is creating a rectangular garden in his back yard. The length of the garden is 14 feet. The perimeter of the garden must be at least 58 feet and no more than 66 feet. Write and solve a compound inequality to find the range of values for the width, w, of the garden.

Answers

Answer:

15 ≤ w ≤ 19

Step-by-step explanation:

Given that :

Length of garden = 14 feets

Perimeter must be atleast 58 but no more than 66

The range of value for the width ;

Perimeter = 2 length + 2 width

Perimeter = 2(14) + 2w

If perimeter = 58

58 = 28 + 2w

58 - 28 = 2w

30 /2 = w

w = 15

If perimeter = 66

66 = 28 + 2w

66 - 28 = 2w

38 = 2w

w = 38 / 2

w = 19

Range of the width should be atleast 15 and not more Than 19

Hence,

15 ≤ w ≤ 19

Which fraction can be equivalent to -3/2?

1. 3/-2
2. -3/-2
3. -(3/-2)
4. -(-3/2

please help :)

Answers

Answer:

its c, the minus makes the positive 3 negative and the neg 2 positive

1. Find the value of x

A. 7
B. 4
C. 5
D. 6

Answers

A I believe, sorry if I’m wrong

i dont really understand this. ranking brainliest !

Answers

Answer:

98

Step-by-step explanation:

because this is an isosceles triangle so base angle are equal and triangle add up to 180°. so H will be 41 as well to find out F

do 180-41-41=98 is the answer.

hope this helps :)

Nathan has a $75 budget to rent a car for a day. The daily rental charge is $29.50 and then he will also have to pay $0.55 per mile. How many miles can he drive the car without exceeding his budget? (All partial miles are counted as full miles )
A- 25 miles
B- 83 miles
C- 82 miles
D- 136 miles

Answers

Answer:

82

Step-by-step explanation:

82x.55=45.10

45.10+29.50=74.60

Mira looks at her fitness monitor and sees that she has run 30% of her miles this
week. If her goal is to run 30 miles this week, how many miles has she run
already? (Provide number only)

Answers

She has run 9 miles.

If you need an explanation lmk ! (:

Answer:

9

Step-by-step explanation:

Simply multiply 30 by .3.

Hope that this helps!

A grocery store has a sale on apples. Shoppers can buy 3 bags of apples for $5. Each bag contains 6 apples. Which of the following statements is true?

Answers

Answer:

i dont know

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

3b = 5$

3b = 6a

3b = 3 bags

6a = 6 apples

A. It costs 3.60 for 1 bag of apples

3.60 + 3.60 = 60 + 60 = 120 + 3 = 123 + 3 = 126

Meaning it would cost 126 for 3 bags of apples making this a incorrect option

B. It costs 3.60 for 1 apple

B is wrong because its one apple and if we were to subtract the apple would probably only cost a few change not 3$ and 60 cents.

C. The cost of 9 bags of apples is 30$

9b = 21a, its either c or d but I'm pretty sure its D!

D. The cost of 108 apples is 30$

D is correct

~ LadyBrain

Help plz..And No links!! I repeat No links!!

Answers

Answer:

9×10^3

Step-by-step explanation:

9×10^3=9000

................

Answer:

Step-by-step explanation:

Which table of values corresponds to the graph below?

On a coordinate plane, a line goes through points (0, 0), (3, 1), and (6, 2).

Answers

see your answer in Pic

Answer:

A

Step-by-step explanation:

Help needed for this question.

Answers

Try this option:

1) for the given function 'f': the the axis of its symmetry is x= -2;

2) for the function 'g':

g(x)=4x²-16x+12; ⇔ g(x)=4(x²-4x+3); ⇔ g(x)=4(x-1)(x-3).

It means the axis of its symmetry is x=2.

Answer: -2 and 2

One day, a café sells 3 more than twice the number of cappuccinos as they do lattes. They sold a total of 33 cappuccinos and lattes
together.
Which equation could be used to find the number of lattes, I sold at the café?

Answers

Answer:

10 lattes and 23 cappuccinos were sold.

Step-by-step explanation:

Given that one day, a café sells 3 more than twice the number of cappuccinos as they do lattes, and they sold a total of 33 cappuccinos and lattes together, to determine which equation could be used to find the number of lattes that were sold at the coffee the following calculation must be carried out:

Latte = X

Cappuccino = 2X + 3

X + 2X + 3 = 33

3X + 3 = 33

3X = 33 - 3

X = 30/3

X = 10

Latte = 10

Cappuccino = 2 x 10 + 3 = 23

Therefore, 10 lattes and 23 cappuccinos were sold.

INEQUIDAD SALARIAL Este es el ingreso mensual que se percibe por género en su primer empleo: 16 Menos de 100 12 20 Entre 1500 3.000 Entus 200 000 14 BODOyt,000 23 ade 15.00 8 10 103 20 30 35 40 FTNINA Fuente Exacoldcarea colmate y UV Professor ACTIVIDAD Contesta las siguientes preguntas planteadas con referente a la grafica. 1. ¿Qué Informacion presenta la grafica anterior? el bove e una mu queue percibe por ponere en 20 2. ¿Cual es el ingreso que una mujer percibe en su primer empleo y que pocas mujeres lo consiguen? 31 OCHS MATEMATICAS 30 TRIMESTRE 111 3. ¿Cuál es el ingreso que un hombre percibe en su primer trabajo y que muy pocos lo consiguen? 4. ¿Cuál es el ingreso de un hombre y una mujer que percibe en su primer trabajo y es donde mas mujeres y hombres hay? 5. Calcula la media de esos datos. 6. Calcula el Rango de esos datos 7.- ¿Cuál es la mediana de esos datos? 8.2Cuál es la Moda de esos datos? ACTIVIDAD: Resuelve el siguiente problema:​

Answers

Answer:

udfdufuhgjhfdhhudhjhnvn cjhcfhfhufvhfuh

Step-by-step explanation:

guhfr fuhuhdf bfhuyvvhd ui hty

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Answers

Answer:

the area is 50.27 and the circumference is 25.13

Step-by-step explanation:

pie x r^2=radius and 2 x pie x r = circumference plug the radius in both and you get your answers

Hope this helps :D

The sum of a number and two times a smaller number is 62. Three times the bigger number exceeds the smaller number by 116. What are the numbers?

Answers

Answer:

SMALLER NUMBER = 14

BIGGER NUMNER = 34

Step-by-step explanation:

Two equations can be derived from the question

a + 2b = 62 equation 1

3a - b = 116  equation 2

a = bigger number

b = smaller number

multiply equation 1 by 3

3a + 6b = 186 equation 3

subtract equation 2 from 3

5b = 70

b = 14

substitute for b in equation 1

a + 28 = 62

a = 34

In ΔPQR, p = 7.6 inches, r = 3.5 inches and ∠R=160°. Find all possible values of ∠P, to the nearest 10th of a degree.

Answers

Answer:

There is no possible value for P

Step-by-step explanation:

In ΔPQR, p = 7.6 inches, r = 3.5 inches and ∠R=160°. Find all possible values of ∠P, to the nearest 10th of a degree

We solve using the law of sines

p/sin P = r/sin R

7.6/sin P = 3.5/sin 160

Cross Multiply

sin P × 3.5 = 7.6 × sin 160

sin P = 7.6 × sin 160/3.5

P = arc sin (7.6 × sin 160/3.5)

There is no possible value for P

PLEASE HELP i have less than 20 mins left

Answers

3a) Answer: 84 degrees

Step-by-step explanation:

3x + 2(x+20)= 180 (total sum of angles in a triangle is 180 degrees)

5x+40 = 180

5x = 140

x= 28

3x= 28 x 3

   = 84

PLEASE HELP ME QUICKKKK!

Answers

Look up what is mean and calculate it.

which choice best describes the part of the graph from x=-2 to x=0

Answers

Answer:

c

Step-by-step explanation:

linear and decreasing

it has negative gradient and it is straight line

At Shimla, the temperature was -14°C on Monday and then it dropped by 2°C on Tuesday. What was the temperature of Shimla on Tuesday?

Answers

Answer:

-14-2= -16

I hope it helps :)

As an estimation we are told £3 is €4.
Convert £33 to euros.

Answers

Answer:

44 euros

Step-by-step explanation:

if the ratio between an english pound and a euro is 3 to 4 respectivley, the ratios will hold true for any number. Since 33/3 = 11, we can stratigically multiply by 1,

3/4 = (3/4)(11/11)

so the ratios would be the same, multiplying, you would get 33/44, which means 33 pounds for 44 euros

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