For a project in his Geometry class, Nathaniel uses a mirror on the ground to measure the height of his school’s flagpole. He walks a distance of 7.95 meters from the flagpole, then places a mirror on flat on the ground, marked with an X at the center. He then steps 1.15 meters to the other side of the mirror, until he can see the top of the flagpole clearly marked in the X. His partner measures the distance from his eyes to the ground to be 1.65 meters. How tall is the flagpole? Round your answer to the nearest hundredth of a meter.

Answer:

1. f(x) - 7

2. The lines do not have same x-intercept

3. a(x) = f(x+7)

4. b(x) = f(x-3)

5.  c(x) = f(x) + 5 and c(x) = f(x+5) are two functions that can represent c(x)

6. a. g(x) = f(x-8)

   b. Slope of g(x) = 1                                        

   c. y-intercept = (0, -8)

7. a. p(x)=f(x+6) is vertical transformation of f(x) = x. f(x) is the parent function.

   b.(please check explanation section.)

For the second page, here are the answers

5.

a. False

The slope of f(x) will be steeper than m(x)

b. False

The y-intercept doesn't change due to multiplication of 3/5

6. C. h(x) = 3f(x-5)

7. d(x) = 1/4 f(x) + 9

8. Erika: c(x) = 4f(x) + 4 is the first graph

Landry: c(x) = -4f(x) + 3 is the second graph

Step-by-step explanation:

1. f(x) - 7 = x - 7 ( y intercept is translated down when g(x) = x - k )

2. The lines do not have same x-intercept. ( x-intercept of f(x)=x is (0,0) and that of f(x-10) is (0,10)

3. a(x) = f(x) + 7 = x + 7 = f(x+7)

4. b(x) = f(x) - 3 = x - 3 = f(x-3)

5. c(x) = f(x) + 5 = x + 5 = f( x+5)

   c(x) = f(x) + 5 and c(x) = f(x+5) are two functions that can represent c(x)

6. a. g(x) = f(x) - 8 = x -8 = f(x-8)

    b. Slope of g(x) = Slope of f(x)      

         Slope of f(x) =  d(f(x)/dx = dx/dx = 1

          Therefore Slope of g(x) = Slope of f(x) = 1      

c. y-intercept = (0, -8)       (In this case The y-intercept of g (x)=f(x-8) is translated down as -8<0 by 8 units.)

7.  b. Look at the graph for part b

Now for the second page, here are the steps

look at the pictures, they show the steps and solution

Answer:

5a + 2b is the total amount Hattie spent

Step-by-step explanation:

12a - 7a

4b - 2b

Answer:

18 million kilometers in one min. and 0.3 million kilometers in one second

Step-by-step explanation:

so the one min. is easy because all you have to do is take 180 and divide it by 10 and you get 18 million kilometers in one min. and then you would take 18 and divide it by 60 and you would get 0.3 million kilometers in one second

Answer:

$64.63

Step-by-step explanation:

Multiply both values:

They pay 64.63

-Chetan K

Answer:

$64.63

Step-by-step explanation:

You multiple 23 by $2.81, I'm sorry if the explanation is brief, but this problem is relatively simple.

Have a nice day!

[:

Answer:

f(x-6) ... shift right 6

2f(x-6) ... stretch vertically by 2

-2f(x-6) ... reflect across x-axis

-2f(x-6)+5 ... shift up 5

Step-by-step explanation:

Answer:

900 m^2

Step-by-step explanation:

Let x = length, y = width

perimeter = 2x + 2y = 2(x + y) = 120. so

x + y = 60, or y = 60 - x

Area = xy = x(60 - x) = 60x - x^2

= -(x^2 - 60x + 30^2) + 30^2

= 900 - (x - 30)^2

Note (x - 30)^2 is never negative, at least zero.

When (x - 30) = 0, the area is the largest which is 900 m^2

Answer:

A

Step-by-step explanation:

The rest of the choices don't make sense.

Answer:

A

Step-by-step explanation:

A because you want to get a thought of what it is

Solution:

Simplify the inequality and solve.

The simplified inequality is 1 < k.

[tex] \sf20 < k + 19[/tex]

Move the variable to the left-hand side and change its sign

[tex] \sf20 - k < 19[/tex]

Move the constant to the right-hand side and change its sign

[tex] \sf \: - k < 19 - 20[/tex]

Calculate the difference

[tex] \sf \: - k < - 1[/tex]

Change the signs on both sides of the inequality and flip the inequality sign

[tex] \boxed{ \tt \: k > 1}[/tex]

Answer:

13,21,34,55,89,144,233,377

Step-by-step explanation:

i did it in my mind and im correct

prob

Answer:

ok

Step-by-step explanation:

Answer:

Y=3/4x + 1

Step-by-step explanation:

Y intercept x=0

Therefore point(0,1) satisfies.

There fore constant c is 1

Answer:

y = [tex]\frac{3}{4}[/tex] x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = [tex]\frac{3}{4}[/tex] and c = 1 , then

y = [tex]\frac{3}{4}[/tex] x + 1 ← equation of line

[tex]\bold{\huge{\green{\underline{ Solution }}}}[/tex]

A quadrilateral having two pair of parallel sides is Parallelogram

Hence, Option b is correct

The two consecutive angles of parallelogram are Supplementary.

Hence, Option C is correct

All squares are rectangle is true statement

Hence, Option A is correct

Rhombus is the quadrilateral has diagonals perpendicular to each other

Hence, Option B is correct

Answer:

y≥−4/5x−4

Step-by-step explanation:

Im not sure but i think its correct

Answer:

8+6= 14

Step-by-step explanation:

I think but I'm not sure

Answer:

200 votes

Step-by-step explanation:

250*.8=200

Answer:

The winning candidate recieved 200 votes.

Step-by-step explanation:

80%=0.8

250*0.8=200

8 x [tex]\frac{1}{3}[/tex]

= [tex]\frac{8}{1}[/tex] x [tex]\frac{1}{3}[/tex]

= [tex]\frac{8 x 1}{1 x 3}[/tex]

=[tex]\frac{8}{3}[/tex]

Answer:

8/3 or 2 2/3

Step-by-step explanation:

8 is also equal to 8/1

8/1 x 1/3

you multiply the numerators to get 8

then multiply the denominators to get 3

Answer:

45 I think

Step-by-step explanation:

I think that the answer to the question is 45 and I'm not very sure if if I can explain it to you because I don't know if it's right

Answer:

22 and a half

Step-by-step explanation:

josh eats 35 tacos in 7 minutes. break it down into 7ths. you will get:

| 5 | 5 | 5 | 5 | 5 | 5 | 5 |

Count four of those: or 5 x 4 = 20

Add half of 5= 2.5

                             20 + 2.5 = 22.5                                                                                                                  

Answer:

The diameter of the base of the cylinder is 2 cm.

Step-by-step explanation:

GIVEN :

As per given question we have provided that :

[tex]\begin{gathered}\end{gathered}[/tex]

TO FIND :

in the provided question we need to find :

[tex]\begin{gathered}\end{gathered}[/tex]

USING FORMULAS :

[tex]\star{\underline{\boxed{\sf{\purple{Csa = 2 \pi rh}}}}}[/tex]

[tex]\star{\underline{\boxed{\sf{\purple{d = 2r}}}}}[/tex]

[tex]\begin{gathered}\end{gathered}[/tex]

SOLUTION :

Firstly, finding the radius of cylinder by substituting the values in the formula :

[tex] \begin{gathered} \qquad{\longrightarrow{\sf{Csa = 2 \pi rh}}} \\ \\ \qquad{\longrightarrow{\sf{88 = 2 \times \dfrac{22}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{7} \times r \times 14}}} \\ \\ \qquad{\longrightarrow{\sf{88 =\dfrac{44}{\cancel{7}}\times r \times \cancel{ 14}}}} \\ \\ \qquad{\longrightarrow{\sf{88 =44 \times r \times 2}}} \\ \\ \qquad{\longrightarrow{\sf{88 =88 \times r}}} \\ \\ \qquad{\longrightarrow{\sf{r = \frac{88}{88}}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\pink{r = 1 \: cm}}}}}} \end{gathered}[/tex]

Hence, the radius of cylinder is 1 cm.

———————————————————————

Now, finding the diameter of cylinder by substituting the values in the formula :

[tex]\begin{gathered} \qquad{\longrightarrow{\sf{d = 2r}}} \\ \\ \qquad{\longrightarrow{\sf{d = 2 \times 1}}} \\ \\ \qquad{\longrightarrow{\underline{\underline{\sf{\red{r = 2 \: cm}}}}}}\end{gathered}[/tex]

Hence, the diameter of the base of the cylinder is 2 cm.

[tex]\rule{300}{2.5}[/tex]

CSA of a cylinder = 88 cm²

height = 14 cm

diameter = ?

CSA of a cylinder = 88 cm²

2πrh = 88 cm²

[tex]2 \times \frac{22}{7} \times r \times 14 = 88 cm²[/tex]

[tex]2 \times \frac{22}{1} \times r \times2 \: = 88 cm²[/tex]

[tex]2 \times 22 \times r \times 2 = 88 cm²[/tex]

[tex]88r = 88 cm²[/tex]

[tex]r = \frac{88}{88} [/tex]

[tex]r = 1 [/tex]

Diameter = radius + radius

= 1 + 1

= 2

Answer:

44 cows and 36 ducks.

Step-by-step explanation:

x is ducks and y is cows.

Assuming both have 1 head each, we can write:

x + y = 80.

Let's assume each x(cow) has 4 legs and each y(duck) has two legs.

Then we can add the numbers of legs:

2x + 4y = 248 legs

Now rearrange x + y = 80 to:

x = 80-y

and substitute:

2x + 4y = 248 legs

2(80-y) + 4y = 248 legs

160 - 2y + 4y = 248 legs

2y = 88 legs

y = 44   [There are 44 cows]

Use this value to find the number of ducks:

x + y = 80

44 + y = 80

y = 36  [There are 36 ducks]

========================

Check:

Do 44 cows and 36 ducks have a total of 248 legs?

4*44 + 2*36 = 248 ?

176 + 72 = 248?

YES

Answer:

since there are 4 states that start with A and 8 that start with M, this means that out of the 50 states there are 12 states that he could throw a dart at and get either A or M, meaning that 12/50 is the fraction and 12/50 converted into a percentage or decimal is 0.24 meaning that 0.24 is the probability that he throws a dart and hits a state that starts with an A or M

Answer:

jim is 24 years old,  Mark is 20 years old

Step-by-step explanation:

This prompt can be set up using this equation:

Let's represent Mark's age by variable m and Jim's age by variable J.

j + m = 44

m + 4 = j

m = j - 4

j + (j - 4) = 44

2j - 4 = 44

2j = 48

j = 24

So, jim is 24 years old, meaning mark must be 20 years old. 20 + 24 results in 44 years old together.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Let me know if you have any further questions! Spread the love.

it may or may not change

Answer:

No.

Step-by-step explanation:

The denominator only changes when multiplying or dividing.

Answer: 111.75 copies

Step-by-step explanation:

36 x 3 = 108

60/15 = 4

36/4 = 3.75

108 + 3.75 = 111.75

Answer:

12 units

Step-by-step explanation:

A=hbb/2=6·4/2= 12

Answer:

Therlanmo proidigy

Step-by-step explanation:

The statement best describes the relationship between terms is that they are perfect squares

Perfect squares are the product of an integer with itself

All the terms of the sequences are perfect squares since:

1^ 2 = 1

8^2 - 64

2^2 = 4

Note that since we can multiply the integers together with each other, then they are a perfect square.

The statement best describes the relationship between terms is that they are perfect squares

Learn more on perfect squares here: https://brainly.com/question/1538726