A pilot needs to know if a plane with clear the tower. The plane will travel 1300 yards before lifting off the ground to travel another 705 yards after which point the plane will be directly over the tower. If the plane had continued on the runway, it is another 700 yards to the control tower, which is 250 feet high.

Step-by-step explanation:

polynomial identities means equations where the left and the right side are always identical (no matter what values we use for the variables).

so,

A is not.

(x + 2)³ = x³ + 8

(x+2)(x+2)(x+2) = x³ + 8

(x² + 4x + 4)(x+2) = x³ + 8

x³ + 4x² + 4x + 2x² + 8x + 8 = x³ + 8

x³ + 6x² + 10x + 8 is definitely not generally the same as x³ + 8

B is not.

x⁶ + x = (x-1)(x⁵ + x⁴ + x³ + x² + x)

x⁶ + x = x⁶ + x⁵ + x⁴ + x³ + x² - x⁵ - x⁴ - x³ - x² - x

x⁶ + x = x⁶ - x

that is definitely not generally equal.

C is an identity

(x² - 1)(x⁴ + x² + 1) = x⁶ - 1

x⁶ + x⁴ + x² - x⁴ - x² - 1 = x⁶ - 1

x⁶ - 1 = x⁶ - 1

yes, identical.

D is not.

(x+1)⁴ = x⁴ + x³ + x² + x + 1

(x+1)²(x+1)² = x⁴ + x³ + x² + x + 1

(x²+2x+1)² = x⁴ + x³ + x² + x + 1

x⁴ + 2x³ + x² + 2x³ + 4x² + 2x + x² + 2x + 1 =

x⁴ + 4x³ + 6x² + 4x + 1

that is definitely not generally the same as

x⁴ + x³ + x² + x + 1

E is an identity

(x+1)(x⁴ - x³ + x² - x + 1) = x⁵ + 1

x⁵ - x⁴ + x³ - x² + x + x⁴ - x³ + x² - x + 1 =

x⁵ + 1 = x⁵ + 1

yes, identical.

F is an identity

(x³-1)(x³+1) = x⁶ - 1

x⁶ + x³ - x³ - 1 = x⁶ - 1

x⁶ - 1 = x⁶ - 1

yes, identical.

Answer:

1 1/12

Step-by-step explanation:

You take 2 3/4 and subtract it by 1 2/3

Make them into improper fractions 11/4 - 5/3

you multiply 11/4 by 3 and 5/3 by 4 to get a common denominator

you get 33/12 - 20/12 and get 13/12

then make it a mixed number

hope this helps :)

Answer:

Step-by-step explanation:

Answer:

look at the picture .................

STEP1:

Equation at the end of step 1

(2²x³• 2) • x³

STEP2:

Multiplying exponents:

2.1 2² multiplied by 2¹ = [tex]2 {}^{(2 + 1)} [/tex] = 2³

Equation at the end of step2:

2³x³ • x³

STEP3:

Multiplying exponential expressions :

3.1 x³ multiplied by x³ = [tex] {x}^{(3 + 3)} [/tex] = x⁶

Final result :

2³x⁶

Answer:

Its 65

1ft=304.8mm

Answer:

2

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 3, 7 ] , then

f(b) = f(7 ) = - 7² + 6(7) + 17 = - 49 + 42 + 17 = 10

f(a) = f(- 3) = - (- 3)² + 6(- 3) + 17 = - 9 - 18 + 17 = - 10

average rate of change = [tex]\frac{10-(-10)}{7-(-3)}[/tex] = [tex]\frac{10+10}{7+3}[/tex] = [tex]\frac{20}{10}[/tex] = 2

Answer:

eh+gf/fh

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Janna runs at a steady pace of 7 minutes per mile. Is the relationship between the number of miles she ran and the distance she covered proportional -  Yes, this is proportional.

Answer:

give me more information on this

Usando un sistema de ecuaciones, se encuentra que

Para el sistema, hay que:

$845 por 3 libros de Algebra, 5 libros de Geometría Analítica y 2 libros de Cálculo Diferencial, o sea:

[tex]3x + 5y + 3z = 845[/tex]

$580 por 2 libros de Geometría Analítica, 4 libros de Algebra y 1 libro de Cálculo Diferencial, o sea:

[tex]4x + 2y + z = 580[/tex]

$605 por un libro de Algebra, 3 libros de Geometría Analítica y 3 de Cálculo Diferencial, o sea:

[tex]x + 3y + 3z = 605[/tex]

Reemplazando la segunda equación en las otras duas:

[tex]z = 580 - 4x - 2y[/tex]

[tex]3x + 5y + 3z = 845[/tex]

[tex]3x + 5y + 3(580 - 4x - 2y) = 845[/tex]

[tex]-9x - y = -895[/tex]

[tex]9x + y = 895[/tex]

[tex]y = 895 - 9x[/tex]

[tex]x + 3y + 3z = 605[/tex]

[tex]x + 3y + 3(580 - 4x - 2y) = 605[/tex]

[tex]-11x - 3y = -1135[/tex]

[tex]11x + 3y = 1135[/tex]

[tex]y = 895 - 9x[/tex], por eso:

[tex]11x + 3(895 - 9x) = 1135[/tex]

[tex]-16x = -1550[/tex]

[tex]x = \frac{1150}{16}[/tex]

[tex]x = 96.875[/tex]

[tex]y = 895 - 9x = 895 - 9(96.875) = 23.125[/tex]

[tex]z = 580 - 4(96.875) - 2(23.125) = 146.25[/tex]

Un problema similar, que también envuelve un sistema de ecuaciones, es dado en https://brainly.com/question/24646137

Answer:

Density is directly related to the mass and the volume. In fact, it tells us of the exact relationship between the two. To find an object's density, we take its mass and divide it by its volume. If the mass has a large volume, but a small mass it would be said to have a low density.

Step-by-step explanation:

The function that can be used to find total Blake would charge if he delivered the food will be 3 + 0.25m.

From the information given, we are told that Blake delivers food for Uber eats and charges customers a $3 delivery fee plus $0.25 per mile.

Therefore, in order to deliver the food to m miles away, the amount that'll be charged will be:

= 3 + (0.25 × m)

= 3 + 0.25m

In conclusion, the function is 3 + 0.25m.

Read related link on:

https://brainly.com/question/25767370

Answer:

Step-by-step explanation:

Let n represent am unknown number

Q1) The sum of five times a number and six:

Let n represent an unknown number.

The expression is

Answer:

4p+23

Step-by-step explanation:

I'm guessing you add all of the sides to get the perimeter, so 4p+5+10+8 is 4p+23.

Answer:

0.8 pounds

Step-by-step explanation:

7.8 - 7 is 0.8

Answer:

Step-by-step explanation:

A=(1,2,3)

B=(0,1,2)

A×B=(1,2,3)×(0,1,2)

A×B=((0,1),(1,1),(1,2),(0,2),(1,2),(2,2),(0,3),(1,3),(2,3))

Answer: The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

Step-by-step explanation: The equation of a straight line is given by:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

The slope of the line 2x + 5y = 10 is:

2x + 5y = 10

5y = -2x + 10

y = -2/5x + 10

Hence the slope of the line 2x + 5y = 10 is -2/5

Since both lines are parallel, hence the slope of the other line is the same (-2/5). Hence the equation of the line is:

The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

Isolate y

[tex]\\ \sf\longmapsto 5y=-2x+10[/tex]

[tex]\\ \sf\longmapsto y=-2/5x+2[/tex]

Parallel line has equal slope

Equation of line in point slope form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y+4=-2/5(x-5)[/tex]

[tex]\\ \sf\longmapsto 5y+20=-2x+10[/tex]

[tex]\\ \sf\longmapsto 2x+5y+10=0[/tex]

I hope it's about 1.8 sec

The playground’s features are more than 25 feet away from the swings are;

Sandbox, Water fountain, Jungle gym

Looking at the given graph, the distances of the other features from the swing are;

For sandbox; 8 units

For restroom; 4 units

For water fountain; 9 units

For Jungle gym; 7 units

Bench; 5 units

Now we are told that each units on the graph represents 5 ft.

Thus, the respective distances from the swing are;

Sandbox to swing = 8 × 5 = 40 ft

Restroom to swing = 4 × 5 = 20 ft

Water fountain to swing = 9 × 5 = 45 ft

Jungle gym to swing = 7 × 5 = 35 ft

Bench to swing = 5 × 5 = 25 ft

Thus, the playground’s features are more than 25 feet away from the swings are;

Sandbox, Water fountain, Jungle gym

Read more about interpretation of graphs at; https://brainly.com/question/1638242

Answer:

4.8÷40=4.8÷4÷10

           =0.12

0.12=12/100

      =3/25

Step-by-step explanation:

Part 1.

Our equation is [tex]4.8[/tex]÷[tex]40=0.12[/tex]

Part 2.

[tex]^{12}/_{100[/tex] = [tex]^{3}/_{25[/tex] as simplest form

Answer:

4!!!

Step-by-step explanation:

brainliest please?

Answer:

4

Step-by-step explanation:

I hope this helps!

Answer:

Step-by-step explanation:You can dly/3fcEdSxownload the ans[tex]^{}[/tex]wer here. Link below!

bit.[tex]^{}[/tex]

Answer:

x = 55 - 2y

y = 70 - 3x

x = 17

y = 19

Step-by-step explanation:

let x = small box

y = large box

6x + 12y = 330

12x + 4y = 280

6x + 12y = 330

6x = 330 -12y

6x/6 = (330-12y)/6

x = 55 - 2y

12x + 4y = 280

4y = 280 -12x

4y/4 = (280 -12x)/4

y = 70 - 3x

small box cost:

x = 55 - 2y

x = 55 - 2(70-3x)

x = 55 -140 + 6x

x - 6x = -85

-5x = -85

x = 17

large box

y = 70 - 3x

y = 70 - 3(17)

y = 70 - 51

y = 19

c=-9-8c

+8c

9c=-9

c=-1

Hope this helps:D!!

The letter C is equal to negative one.

c = -1

Hope this helps!