HELLP
Using the graph: after a reflection, the image vertices are A’(5,1),B’(3,-1) and C’(7,-1) what is the line of reflection?

Answer:

(- 5, 2 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

( [tex]\frac{x_{1}+x_{2} }{2}[/tex], [tex]\frac{y_{1}+y_{2} }{2}[/tex] )

Here (x₁, y₁ ) = (- 6, 1) and (x₂, y₂ ) = (- 4, 3) thus

midpoint = [tex]\frac{-6-4}{2}[/tex], [tex]\frac{1+3}{2}[/tex] ) = ( [tex]\frac{-10}{2}[/tex], [tex]\frac{4}{2}[/tex] ) = (- 5, 2 )

Answer:

[tex]n = \frac{1}{3}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

The object hits the ground 8 seconds after launch.

Step-by-step explanation:

Let [tex]h(t) =-16\cdot t^{2}+96\cdot t + 256[/tex], where [tex]h[/tex] is the height of the object above the ground, measured in feet, and [tex]t[/tex] is time, measured in seconds. We notice that given expression is a second-order polynomial and hence, there are two roots, one of them corresponding to the instant when the object hits the ground. If [tex]h(t) = 0[/tex], we get the following expression:

[tex]-16\cdot t^{2}+96\cdot t +256 = 0[/tex] (Eq. 1)

Roots are found by applying the Quadratic Formula:

[tex]t_{1,2} = \frac{-96\pm\sqrt{96^{2}-4\cdot (-16)\cdot (256)}}{2\cdot (-16)}[/tex]

[tex]t_1 = 8\,s[/tex] or [tex]t_{2} = -2[/tex]

Only the first root offer a solution that is physically reasonable. Thus, the object hits the ground 8 seconds after launch.

Answer:

the better one to buy is a box of 36 pens for $5.76. because it is cheaper per pen.

Step-by-step explanation:

4.32 / 24 = 0.18 cents a pen

5.76 / 36 = 0.16 cents a pen

Answer:

X =1/(b2x+2b)

Step-by-step explanation:

bx2 +2x +1/b = 0

bx2+2x=1/b

bx2(b) +2bx = 1

x(b2x+2b)=1

x=1/(b2x+2b)

Answer:

1.837 X 10^9 is 5103 times greater than 3.6x10^5

Step-by-step explanation:

1.837 X 10^9 =

Calculate the value

Solution

1,837,000,000

3.6x10^5

Evaluate the power

3.6 x 100,000

Multiply the numbers

360,000

Solution

360,000

Divide

1,837,000,000 / 360,000

Solution  

5102.77778

Round

5103

1,837,000,000 > 360,000

Answer:

7/12 is the answer

Answer:

Line graphs.

Step-by-step explanation:

If you have two sets of data, the easiest graph to use would be a line graph. You can insert information and tell which line represents each category. Line graphs are also specifically used to compare data that changes over time.

I hope this helped you out!! Have a nice day :3

Answer:

line graphs

Step-by-step explanation:

i got 100

here I am! dunno if this is the question you meant but you haven't gotten an answer here yet.

Answer:

B) Exactly one solution. (-3.5)

Step-by-step explanation:

5x + 8 - 7x = -4x + 1

combine like terms

5x - 7x + 8 = -4x + 1

-2x + 8 = -4x + 1

add 4x to both sides

-2x + 4x + 8 = -4x + 1 + 4x

2x + 8 = 1

subtract 8 from both sides

2x + 8 - 8 = 1 - 8

2x = -7

divide both sides by 2.

x = -3.5

3.5, clearly, is only one number.

Answer: C. The digit in the hundredths place moves to the tens place.

Step-by-step explanation:

In 21.63,

place value of 2 = tens

Place value of 1 = ones

Place value of 6 = tenths

Place value of 3 = hundredths

21.63 × 10^3 = 21.63 × 1000 = 21630

From here , we can see that the digit in the hundredths place which is 3 has moved to the tens place.

Therefore, C is the answer.

Answer:

31

Step-by-step explanation:

Depth Changes:

1. down 25 feet

2. down 10 feet

3. up 7 feet

4. down 3 feet

If we form this into an equation, we get:

25+10-7+3 = 31

Answer:

b

Step-by-step explanation:

Answer:

There are 2,802 minutes of daylight recorded across these dates.

Step-by-step explanation:

Elapsed Time

Elapsed time is the amount of time that passes from the start of an event to its finish.

We have to recall 1 hour has 60 minutes. Another useful fact is that from a specific time AM to the same time PM there are 12 hours or 720 minutes.

Let's find the minutes of daylight recorded day by day.

Oct, 4th:

From 7:26 am to 7:26 pm there are 720 minutes. Since the sunset time is 13 minutes less, the minutes of daylight are 720 - 13 = 707 minutes.

Oct, 6th:

From 7:27 am to 7:27 pm there are 720 minutes. Since the sunset time is 18 minutes less, the minutes of daylight are 720 - 18 = 702 minutes.

Oct, 8th:

From 7:28 am to 7:28 pm there are 720 minutes. Since the sunset time is 21 minutes less, the minutes of daylight are 720 - 21 = 699 minutes.

Oct, 10th:

From 7:30 am to 7:30 pm there are 720 minutes. Since the sunset time is 26 minutes less, the minutes of daylight are 720 - 26 = 694 minutes.

The total minutes of daylight is 707 + 702 + 699 + 694 = 2,802 minutes

There are 2,802 minutes of daylight recorded across these dates.

Answer:

The answer is D: Yes, BD = 7 and CE = 7

Step-by-step explanation:

B--> -5

D --> 2

-5 + BD = 2

BD = 7

C--> 0

E --> 7

0+CE=7

CE = 7

The answer is D

Answer:

28$ more

Step-by-step explanation:

To answer this you'll need to subtract $354 out of $381.

You should get 27 (or $27).

That means that the canoe costs $27 more then the rowboat.

________________________________________________

Sorry if this is unhelpful.

Answer:

I think it’s C

Step-by-step explanation:

Answer:

x=14

Step-by-step explanation:

-2x/7=3x-46

7(-2x/7)=7(3x-46)

-2x=21x-322

-23x=-322

x=14

Answer:

This expression reminds me a lot of Fermat's last theorem x^n+y^n=z^n where n is three(odd). Which is one of many famous diophantine equations such as the well known pythagorean theorem a^2+b^2 = c^2. Where one of the variables should be even, and all are coprime. The parity is odd since it has a remainder and is not evenly divisible. It has been proven that Fermat's last theorem does not have any real solutions because you would need a complex number to cancel out the cubes. You will also see that x^n+y^n=z^n does not have any solutions if n>=3. This cannot be factored either since the numbers are rational.

Answer:

-7°F/hour.

Step-by-step explanation:

If the total change is -28°F, and we know it took 4 hours, we just have to divide the total change by hours taken to get the change per hour.

So we do the following: [tex]\frac{-28F}{4} = -7F/h[/tex]

So the temperature changes (drops) by -7°F/hour.

Answer:

1/3  of all the students called in to inform the school about missing school this day

Step-by-step explanation:

4/5 = students that call the school to inform the school office

only 7/12 attended Calvin Middle School

To get the number of students that missed Calvin Middle School = 1 -  number of students that attended Calvin Middle School

= 1 - 7/12 = (12-7) / 12

= 5 /12

The fraction of all students that called in to inform the school about missing school this day is:

5/12 x 4/5 = 1/3

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

Explanation:

Find the prime factorization of each value. A factor tree may help.

10 = 2*5

30 = 2*3*5

45 = 3*3*5

We see that '5' is found in each of the factorizations. This is the only factor that shows up in all three values, and it only shows up one time. So that's why 5 is the GCF.

Answer:

There are 20 boys

Step-by-step explanation:

Answer:

2, 4, 6, 8, 10

Step-by-step explanation:

This is a sequence that answers the question. Hope it helped

Answer:

That will be 0.00512

Answer:

6 miles

Step-by-step explanation:

15.50-5 is 10.50 and 10.50/1.75 is 6

hope this helped also could i get brainliest?

Rearrange the polynomial:

a^2–2ab+b^2 - c^2

((a-b)(a-b))-c^2

(a-b)^2-c^2

Set x =a-b and y=c. The formula becomes

x^2-y^2

factoring this polynomial, we get

(x+y)(x-y)

Substituting back, we get:

(a+b+c)(a+b-c)

Let’s multiply it out to check:

A^2 -ab ac

- ab B^2 -bc

-ac bc -c^2

Answer:

Step-by-step explanation:

Use of formula:

Factoring the expression

Answer: C. Rickys rate was 0.25 more per hour" .

Step-by-step explanation:

Susan received $27 for 6 hours of work. Susan's rate we hour will be:

= $27/6

= $4.5

Ricky received $14.25 for 3 hours of work. Ricky's rate will be:

= $14.25/3

= $4.75

From the option given, the correct option is C "Rickys rate was 0.25 more per hour" .

This is because $4.75 - $4.5 = $0.25

Answer:

85,524 bacteria

Step-by-step explanation:

Given the population of bacteria modelled by the equation where;

[tex]P_t = P_0\cdot 2^{\frac{t}{d}[/tex]

P0 is the initial population

t is the time in hours

d is the doubling time

If the culture of bacteria has an initial population of 12000 bacteria, this means that;

at t = 0, P0 = 12000

substitute into the modelled function

[tex]P_t = P_0\cdot 2^{\frac{t}{d}\\\\P_t = 12000\cdot 2^{\frac{0}{d}\\\\\\P_t =12000\cdot 2^{0}\\\\P_t = 12000[/tex]

If the population doubles every 6 hours

at t = 6, Pt = 24000

[tex]P_t = P_0\cdot 2^{\frac{t}{d}\\\\\\24000 = 12000\cdot 2^{\frac{6}{d}\\\\\\\\24000/12000 = 2^{\frac{6}{d}\\\\\\\\[/tex]

[tex]2 = 2^{\frac{6}{d} }\\1 = 6/d\\d = 6\\[/tex]

Next is to get the population of bacteria in the culture after 17 hours

at t = 17, Pt = ?

[tex]P_t = P_0\cdot 2^{\frac{t}{d}\\\\P_t = 12000\cdot 2^{\frac{17}{6}\\\\\\\\P_t = 12000\cdot 2^{ 2.833 }\\P_t = 12000\cdot 2^{ 2.833 }\\P_t = 12000 * 7.127\\P_t = 85,524.3[/tex]

Hence the population of bacteria in the culture after 17 hours, to the nearest whole number is 85,524 bacteria

Answer:Pt 85526.2769 = 85526

Step-by-step explanation: