3: Find the slope:
(2, -6), (-4,-3)

Answer:

2/3 x 1/2 = 1/6

Step-by-step explanation:

Answer:

A)

Each landing is about 17 inches.

B)

The vertical rise from Floor 1 to Floor 2 is about 7 feet.

Step-by-step explanation:

Please refer to the attachment below. (I accidentally wrote 30.30 instead of 30.20. Please ignore that and sorry for any confusion.)

Part A)

So, we want to find the length of [tex]\ell[/tex].

Note that the angle of elevation, the vertical height, and [tex]\ell[/tex] form a right triangle.

Since the vertical height opposite to our angle is 10, and we want to find the adjacent height, we can use the tangent ratio:

[tex]\displaystyle \tan(x^\circ)=\frac{\text{Opposite}}{\text{Adjacent}}[/tex]

Therefore:

[tex]\displaystyle \tan(30.20)=\frac{10}{\ell}[/tex]

Solve for [tex]\ell[/tex]. Cross-multiply:

[tex]\displaystyle \ell\tan(30.20)=10[/tex]

So:

[tex]\displaystyle \ell=\frac{10}{\tan(30.20)}=17.1817...\approx17\text{ inches}[/tex]

The landing space per step is about 17 inches.

Part B)

We know that there are a total of 12 feet of horizontal space total for each landing.

12 feet is equivalent to (12)(12) = 144 inches.

Since each landing is 17.1817... inches, this means that we have 144/(17.1817...) = 8.38... or about 8 steps.

Since the vertical rise of each step is 10 inches, the vertical rise from the 1st Floor to the second will be 8(10) or 80 inches or 80/12 = 6.666... or about 7 feet.

Answer:

5x -10y= -20

5x + 3y = 6

-(5x + 3y=6)

5x-10y=-20

-5x-3y=-6

-10y  -3y = -20 -6

-13y=-26

y= -26/-13

y=2

5x-10(2)=-20

5x-20=-20

5x=-20-20

5x=-40

x= -40/5

x= -8, and y= 2

Answer:d

Step-by-step explanation:

Answer:

0.1, 4/25, 35%, 36/100, 0.85, 2.6

Step-by-step explanation:

Answer:

3

+

3

−

6

Step-by-step explanation:

Answer:

Liter

Step-by-step explanation:

Step-by-step explanation:

Let x = log7(49^w).

We have 7^x = 49^w.

=> 7^x = (7^2)^w

=> 7^x = 7^2w.

=> x = 2w.

Therefore log7(49^w) = 2w.

Answer:

as explained

Step-by-step explanation:

as in the photo i've shown :

i've shown the table for you both

i've shown the graph for one only the second one hope you can complete it if you have any questions you can ask.

for first one

if x=2 replace x=2 in f(x) you will get f(2)=4

f(3)=1

f(4)=0

f(5)=1

f(6)=4

Why did I start with x=2 and not x=1 because f(1)=9 in the graph provided there is no marking for y=9 but when drawing the graph extends it (as in photo 3 not as in photo 4)(graph in photo 3 is better)

Hope you understand(you can also put(2,4) ,(3,1) and so on in the graph as in photo 5

Answer:

The rate of change in the value of the watch is modeled by 0.93.

The rate of change represents a decrease in value.  

The rate represents a 7% change per year.

Step-by-step explanation:

The rate of change in the value of the watch is modeled by 0.93.

The rate of change represents a decrease in value.  

The rate represents a 7% change per year.

The following information should be considered:

learn more: https://brainly.com/question/834969?referrer=searchResults

Answer:

(1/8) / 6 =  

1/8 * 1/6 =

1/48 of a lb per fish tank <==

plz give brainlest

Step-by-step explanation:

Answer:

its 1/2

Step-by-step explanation:

because 1/2 of 10/10 is 5/10

Answer:

1

Step-by-step explanation:

[tex]\frac{5}{10}[/tex]= 0.5

[tex]\frac{1}{2}[/tex]= 0.5

therefore making them equivilant

Answer: [tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

To find the slope, let's turn the equation into slope-interept form. In slope intercept form, y=mx+b, we know that m=slope.

[tex]x+2y=16[/tex]             [subtract both sides by x]

[tex]2y=-x+16[/tex]          [divide both sides by 2]

[tex]y=-\frac{1}{2}x+8[/tex]

Now, we know that [tex]m=-\frac{1}{2}[/tex]. That tells us [tex]-\frac{1}{2}[/tex] is the slope.

Step-by-step explanation:

x+2y=16

-× -×

2y=-x+16

÷2. ÷2

y=-1/2x+8

slope is -1/2

Answer:

Solutions are x=-3, and x = 4.

Step-by-step explanation:

Factor left side of the equation

(x+3)(x-4) = 0

Set Factors Equal To Zero

x + 3 = 0 x - 4 = 0

x = -3 or x= -4

Answer:

15

Step-by-step explanation:

The calculation is:

endamount - startamount divided by number of days.

(237-27) / 14 = 15

Answer:

237 - 27 = 210 (she already had 27 to start, so subtract that from the total)

210 ÷ 14 = 15 (divide by 14 because there are 14 days in two weeks)

so she bought 15 stickers each day

Answer:

[tex]T_n = 3T_{n-1}[/tex]

Step-by-step explanation:

Given

[tex]T_1 = 8[/tex] -- First term

[tex]r = 3[/tex] --- rate

Required

Determine the recursive term

We have:

[tex]T_1 = 8[/tex]

The second term to the nth term is:

[tex]T_2 = T_1 * 3 = 8 * 3 = 24[/tex]

[tex]T_3 = T_2 * 3 = 24 * 3 = 72[/tex]

[tex]T_4 = T_3 * 3 = 72 * 3 = 216[/tex]

Using the above yardstick:

[tex]T_n = T_{n-1} * 3[/tex]

[tex]T_n = 3T_{n-1}[/tex]

Answer:

4.Let the required function be denoted by f(n) , where n denotes the nth day after Alex started a new social media account.

On day 1, the number of Alex’s followers is 8. Hence f(1) = 8.

Subsequently, the number of Alex’s followers tripled every day. Hence f(n) = 3f(n-1) when n > 1.

Thus, the recursive function is

f(1) = 8

f(n) = 3 f(n-1) if n > 1.

Option D is the correct answer.

Step-by-step explanation:

Step-by-step explanation:

circumference = 2πr

π = 3.14

r = 13.4

2 × 3.14 × 13.4 = ¯\_(ツ)_/¯

Answer:

Step-by-step explanation:

collinear means co:together, or with like a coworker, and linear:line(s)

since points a, o, and d are on the same line, they are indeed collinear

triangle CDE is an equilateral since lines CE and ED are equal. 180/3 is 60, therefore each angle of triangle CDE has 60 degrees

triangle BCE: a right triangle.angle B is 90 degrees, C is 60 degrees E is 30 degrees.

Triangle ABE is a obtuse triangle, one angle is an obtuse angle, hence the name.angle A seems to be 120 Degrees and Angles Band E seem to be 30 degrees each

Answer: Bianca is right.

Step-by-step explanation: f(x) and g(x) means the function of x(input) which is basically y(output). You know they are not the same because the 3 is separate in the first equation. You can pick any ordered pair for an input and output, I chose (4,5). You replace all x’s with 4 and y’s with 5. Solve by using order of operations and you’ll be able to back up your answer. [f(x): 5= 6 g(x): 5= 3.5]

Answer:

1 hour

Step-by-step explanation:

300/6= 50

in one hour he drives 50 miles

so the answer is 1 hour

Answer:

B: The elevation of the chameleon

Step-by-step explanation:

The Fly is above the chameleon, so its elevation should be represented by a "positive number"(Example of positive number: 16)

Also,

The Grasshopper is below the chameleon, so its elevation should be represented by a "negative number"(Example of negative number: -23)

ඞHope this helps u because i got dis question from Khan Academyඞ

Answer:

○ [tex]\displaystyle y = 2x + 7[/tex]

Step-by-step explanation:

Use the Slope-Intercept Formula instead of the Point-Slope Formula because it is MUCH, MUCH faster, plus parallel equations have SIMILAR RATE OF CHANGES [SLOPES ], so [tex]\displaystyle 2[/tex] remains as is:

[tex]\displaystyle y =mx + b \\ \\ 3 = 2[-2] + b → 3 = -4 + b; 7 = b \\ \\ \boxed{y = 2x + 7}[/tex]

I am joyous to assist you at any time.

Answer:

1. 1900 children.

2. 600 adults.

Step-by-step explanation:

Let c represent the number children.

Let a represent the number of adult.

From the question given above, we were told that 2500 people entered the fair. This can be obtained as follow:

2500 = c + a ..... (1)

From the question given above, we were told that:

Cost per child = $ 2

Cost per adult = $ 4

Total amount collected = $ 6200

Thus, we can write the above as:

6200 = 2c + 4a .....(2)

Summary:

2500 = c + a ..... (1)

6200 = 2c + 4a .....(2)

1. Determination of the number of children that attended the fair.

From equation 1

2500 = c + a

Make a the subject by rearranging

a = 2500 – c ....... (3)

Substitute the value of 'a' in equation 3 into equation 2

6200 = 2c + 4a

a = 2500 – c

6200 = 2c + 4(2500 – c)

Clear bracket

6200 = 2c + 10000 – 4c

Collect like terms

6200 – 10000 = 2c – 4c

–3800 = –2c

Divide both side by –2

c = –3800 / –2

c = 1900

Thus, 1900 children attended the fair

2. Determination of the number of adults that attended the fair.

Substitute the value of c into equation 3.

a = 2500 – c

c = 1900

a = 2500 – 1900

a = 600

Thus, 600 adults attended the fair.

Answer:

Step-by-step explanation:

f(x) = x² + 2x + 5

f(x+3) = (x+3)² + 2(x+3) + 5

  = (x²+6x+9) + (2x+6) + 5

  = x² + 8x + 20

Answer:

you sure its not f(x+3) ?

Step-by-step explanation:

Answer:

y=1

Step-by-step explanation:

The numbers are all even, so if you are looking for what is in the middle of 2 lines then you would use a odd number.

Answer:

27

Step-by-step explanation:

3x + 9 = 90

3x = 90 - 9

3x = 81

x =27

Answer:

The answer is 50 :)

Step-by-step explanation:

Since d=8, you multiply 6 times 8 which gives you 48 then add the 2.