Suppose you walk down a school hallway at a rate of 5 ft/s, and you reach your destination in 20 seconds. How do you write a function that models this situation, and how do you determine the domain?

Answer:

Nocomplanar? Right because they’re not all in the same place?

Step-by-step explanation:

Answer:

m=-1

Step-by-step explanation:

2x+3y=11............. (eqn 1)

2x-4y=-24...........(eqn 2)

Subtract eqn 1 from eqn 2

7y=35

y=5

Substitute for y in eqn 1

2x+3(5)=11

2x+15=11

2x=11-15

2x=-4

x=-2

y=mx+3

5=-2m+3

5-3=-2m

2=-2m

m=-1

Answer:Here,

Subtracting (ii) from (i),we get

2x+3y=11

- 2x+4y=24

___________

7y =35

y=5

Substituting y = 5 in (i) we get

2x+3×5=11

or,2x +15 =11

or,2x = 11- 15

or,x= -2

Now,

We know,y=mx+c

5=m ×(-2) +3

or,2=m×(-2)

or,2/-2 =m

m= -1

AB is the answer. :)

Answer:

Height of the triangle is 6 feet and base of the triangle is 4 feet.

Step-by-step explanation:

Area of a triangle is given by the formula,

Area = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

Let the height of triangle = h feet

Since, base of the triangle is 2 feet less than its height then base of the triangle = (h - 2) feet

Area = [tex]\frac{1}{2}h(h-2)[/tex]

[tex]12=\frac{1}{2}h(h-2)[/tex]

h² - 2h - 24 = 0

h² - 6h + 4h - 24 = 0

h(h - 6) + 4(h - 6) = 0

(h + 4)(h - 6) = 0

h = -4, 6 feet

Since height of the triangle can not be negative, therefore, height of the triangle = 6 feet.

And base of the triangle = (h - 2) = 6 - 2

                                         = 4 feet

Height of the triangle is 6 feet and base of the triangle is 4 feet.

Greetings from Brasil....

As stated in the statement of the question, EF is a bisector of CD, so point G is the median point of CD, so CG = GD

5X - 1 = 7X - 13

X = 6

EF = EG + GF

6X - 4 = EG + 13      x = 6, so

6·6 - 4 = EG + 13

(see attachment)

A line segment is also a line but the line with finite length and having fixed endpoints. The length of the line segment EG is 19 unit.

A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.

Given that EF bisects CD at point G, therefore, the line segment CD will be divided into two equal parts, CG and GD. Therefore, we can write,

CG = GD

5x - 1 = 7x - 13

-1 + 13 = 7x - 5x

12 = 2x

x = 12/2

x = 6

Further, the length of segment EG will be,

EG = EF - GF

     = 6x - 4 - (13)

     = 6x - 4 - 13

     = 6x - 17

     = 6(6) - 17

     = 36 - 17

     = 19

Hence, the length of the line segment EG is 19 unit.

Learn more about Line here:

https://brainly.com/question/21511618

#SPJ2

Answer:

15

Step-by-step explanation:

Answer: x=12

Step-by-step explanation:

Given

-10x-5=-125

Add 5 on both sides (addition property of equality)

-10x=-120

Divide -10 on both sides (division property of equality)

x=12

Hope this helps!! :)

Please let me know if you have any question

Answer: X=12

Step-by-step explanation:

Clear the X first to solve this problem

-10x - 5 = -125

125 - 5 = 10x

120/10 = x

12 = x

Answer:

-2

Step-by-step explanation:

Step-by-step explanation:

(1 − cos x)(1 + cos x)

1 − cos²x

sin²x

Answer:

The answer is H. II and III only.

Step-by-step explanation:

A simple way to tell if a relation is a function is by taking a look at the X value, which is on the left. If the X value repeats again  (ex: (0,1) (0,2) or (5,3 (5,7)) it is not a function. However, the Y value is allowed to repeat.  

Answer:

Opposite reciprocals are two numbers that are flipped fractions of eachother. For example, the reciprocal of 2/3 is 3/2.

Answer:

An Opposite reciprocal is like a number flipped

Step-by-step explanation:

4 = 1/4

2/3 = 3/2

Answer:

y=6

then,

5x+4y=39---> plug y in to the function

5x+4(6)=39

5x+ 24=39

5x= 39-24

5x= 15

x= 15/5

x= 3

So, the value of x when y=6 in that function is 3 (D)

Answer:

              [tex]\bold{(f+g)(x)=2x^2+\frac32x-5}[/tex]

Step-by-step explanation:

[tex]f(x) =\frac x2-2\quad and\quad g(x) = 2x^2 + x - 3\\\\(f+g)(x)=f(x)+g(x)\\\\(f+g)(x)=\frac12x-2+2x^2+x-3\\\\(f+g)(x)=2x^2+\frac32x-5[/tex]

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

[tex]tu = tv - uv \\ tu = (14x - 8) - 5 \\ tu = 14x - 13 \: - - - (1) \\ \\ tu = 9x + 2 \: - - - (2) \\ \\ sub \: (1) \: into \: (2) \\ \\ 14x - 13 = 9x + 2 \\ 14x - 9x = 2 + 13 \\ 5x = 15 \\ x = \frac{15}{5} \\ x = 3[/tex]

Answer: True

Step-by-step explanation: both equal 7

Answer:

Step-by-step explanation:

Notice that:

● 1/2 = 0.5

● 4/5 = 0.8

0.8 is greater than 0.5.

So:

● 0.8 > 0.5

● 4/5 > 1/2

Answer:

4/5 > 1/2.

Step-by-step explanation:

4/5 is greater than 1/2.

Answer:

I am 90% sure it is D

Step-by-step explanation:

Answer:

  No

Step-by-step explanation:

There are no real numbers that are both rational and irrational, and there are no real numbers that are neither rational nor irrational. The diagram is misleading.

___

A question is not true or false. A statement is true or false. If the statement is, "this picture represents real numbers correctly," then it is FALSE.

Answer:

3/6

Step-by-step explanation:

A coin has 2 sides

3 coins = 6 sides

3 heads 3 tails

3 chances out of 6 to get heads

3 chances out of 6 to get tails

3/6 for both

Answer:

-44

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

3 because 3 is a good number....lol

Answer:

C. 14%

Step-by-step explanation:

We know that Dallas's wage increased from $9 to $10.25.

Let's say the percent increase is x. Then we write the expression:

9 + x * 9 = 10.25

Divide by 9 from both sides:

1 + x = 10.25 / 9 ≈ 1.14

Subtract 1 from both sides:

x = 1.14 - 1 = 0.14

Since x is a percent, that means x = k/100, where k is an integer. So we have:

x = k/100 = 0.14

Multiply both sides by 100:

k = 0.14 * 100 = 14%

The answer is thus C.

~ an aesthetics lover

Answer:

Step-by-step explanation:

[tex]Original\:price = \$9\\New\:price =\$10.25\\\\Increase = 10.25-9\\Increase = 1.25\\\\Increase \: \% = \frac{Increase}{Original \:price} \:\times 100\\\\= \frac{1.25}{9} \times 100\\\\= \frac{125}{9}\\ \\= 13.888\\= 14\%[/tex]

Answer:

3.64 hr, or 3 hr 38 min

Step-by-step explanation:

Recall that distance = (rate)(time).  Thus,

time = (distance) / (rate)

Here we have:

time = (200 km) / (55 km/hr) = 3.64 hr, or 3 hr 38 min

Answer:

A

Step-by-step explanation:

So we want to convert 59°F to Celsius using the given formula:

[tex]C=\frac{5}{9}(F-32)[/tex]

Thus, substitute F for 59:

[tex]C=\frac{5}{9}(59-32)[/tex]

Subtract:

[tex]C=\frac{5}{9}(27)\\[/tex]

Simplify:

[tex]C=\frac{135}{9}=15\textdegree F[/tex]

The answer is A

Answer:

[tex]\huge\boxed{15 \° C}[/tex]

Step-by-step explanation:

[tex]C = \frac{5}{9} ( F - 32)[/tex]

Where F = 59 °F

[tex]\sf C = \frac{5}{9} (59-32)\\C = \frac{5}{9} ( 27)\\C = 5 * 3\\C = 15 \ degrees \ Celsius[/tex]

Answer:

the answwr is C. the sum is zero

Answer:

Factors of 65: 1, 5, 13, 65. Prime factorization: 65 = 5 x 13.

Answer:

13*5*m

Step-by-step explanation:

                                                      65m

                                    13     5                           m

x=4

subtract 8 instead of 2