1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Pavlova-9 [17]
3 years ago
12

Please help and explain why you got it right please

Mathematics
2 answers:
mojhsa [17]3 years ago
6 0

Answer:

A

Step-by-step explanation:

We want to write the equation of the line as shown in the graph.

First and foremost, we should find the slope of the line. To do so, we will pick two points that the line crosses.

We see that the line crosses the points (0, 5) and (2, -1). Now, we can use the slope formula:

m=\frac{y_2-y_1}{x_2-x_1}

Let (0, 5) be (x₁, y₁) and let (2, -1) be (x₂, y₂). Substitute:

m=\frac{-1-5}{2-0}

Subtract and reduce. So, our slope is:

m=-6/2=-3

Therefore, our slope is -3.

Now, we can use the point-slope form to find the equation. Point-slope form is:

y-y_1=m(x-x_1)

Where m is our slope and (x₁, y₁) is any point the line crosses.

First, since we already know that our slope is -3, let's substitute -3 for m:

y-y_1=-3(x-x_1)

So, we can eliminate choices C and D since the slope of those equations is 3 and not -3.

Now, we need to pick our (x₁, y₁). Let's go through the answer choices A and B to see which one is correct.

For A, we have:

y+7=-3(x-4)

We can rewrite this as:

y-(-7)=-3(x-(4))

Therefore, in A, our point is (4, -7).

Now, check. Does our line actually pass through (4, -7).

From the graph, we can see that it <em>does</em>. Therefore, A is our correct answer!

However, let's do B just to confirm. For B, we have:

y+1=-3(x+2)

We can rewrite this as:

y-(-1)=-3(x-(-2))

So, our point is (-2, -1).

Does our line pass through (-2, -1)?

Upon inspection, our line does <em>not</em> pass through (-2, -1). So, B is not correct.

So, our answer is A.

And we're done!

gtnhenbr [62]3 years ago
4 0

Answer:

y+7 = -3 ( x-4)

Step-by-step explanation:

First find two points on the graph to find the slope

( 1,2) and ( 3,-4)

The slope is given by

m = ( y2-y1)/(x2-x1)

m = ( -4-2)/(3-1)

    = -6/2

    =-3

We can use the point slope form

y - y1 = m(x-x1)  where m is the slope and x1,y1 is a point on the line

We have two choices with a slope of -3

We can either use and x coordinate of -2 or 4

for  -2, the y coordinate is not shown

for 4 , the y coordinate is -7

Using ( 4, -7) and m = -3

y--7 = -3( x- 4)

y+7 = -3 ( x-4)

You might be interested in
if a right triangle has lengths 99 inches, 101 inches and 20 inches, what is the length of the hypotenuse
Anna35 [415]

Answer:

The hypotenuse is 10201

Step-by-step explanation:

20^2+99^2=101^2

400+9801=10201

10201=10201

5 0
2 years ago
Aubrey invested $61,000 in an account paying an interest rate of 1.9% compounded continuously. Assuming no deposits or withdrawa
Hitman42 [59]

Answer: 9.9 years.

Step-by-step explanation:

If interest is compounded continuously, then formula to compute final amount A = Pe^{rt}, where P =initial amount, r= rate of interest , t=time.

Given: P= $61,000, r= 1.9% =0.019  , A = $ 73600

Substitute all values in formula

73600=61000e^{0.019t}\\\\\Rightarrow\ \dfrac{73600}{61000}=e^{0.019t}\\\\\Rightarrow\ 1.20655738=e^{0.019t}

Taking natural log on both sides

\ln (1.20655738)=0.019t\\\\\\ 0.18777116=0.019t\\\\\\ t=\dfrac{0.18777116}{0.019}\\\\\\ t=9.88269263\approx9.9\ \text{years}

Hence, the required time = 9.9 years.

4 0
3 years ago
For the following telescoping series, find a formula for the nth term of the sequence of partial sums {Sn}. Then evaluate limn→[
Ivenika [448]

Answer:

The following are the solution to the given points:

Step-by-step explanation:

Given value:

1) \sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2}\\\\2) \sum ^{\infty}_{k = 1} \frac{1}{(k+6)(k+7)}

Solve point 1 that is \sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2}\\\\:

when,

k= 1 \to  s_1 = \frac{1}{1+1} - \frac{1}{1+2}\\\\

                  = \frac{1}{2} - \frac{1}{3}\\\\

k= 2 \to  s_2 = \frac{1}{2+1} - \frac{1}{2+2}\\\\

                  = \frac{1}{3} - \frac{1}{4}\\\\

k= 3 \to  s_3 = \frac{1}{3+1} - \frac{1}{3+2}\\\\

                  = \frac{1}{4} - \frac{1}{5}\\\\

k= n^  \to  s_n = \frac{1}{n+1} - \frac{1}{n+2}\\\\

Calculate the sum (S=s_1+s_2+s_3+......+s_n)

S=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+.....\frac{1}{n+1}-\frac{1}{n+2}\\\\

   =\frac{1}{2}-\frac{1}{5}+\frac{1}{n+1}-\frac{1}{n+2}\\\\

When s_n \ \ dt_{n \to 0}

=\frac{1}{2}-\frac{1}{5}+\frac{1}{0+1}-\frac{1}{0+2}\\\\=\frac{1}{2}-\frac{1}{5}+\frac{1}{1}-\frac{1}{2}\\\\= 1 -\frac{1}{5}\\\\= \frac{5-1}{5}\\\\= \frac{4}{5}\\\\

\boxed{\text{In point 1:} \sum ^{\infty}_{k = 1} \frac{1}{k+1} - \frac{1}{k+2} =\frac{4}{5}}

In point 2: \sum ^{\infty}_{k = 1} \frac{1}{(k+6)(k+7)}

when,

k= 1 \to  s_1 = \frac{1}{(1+6)(1+7)}\\\\

                  = \frac{1}{7 \times 8}\\\\= \frac{1}{56}

k= 2 \to  s_1 = \frac{1}{(2+6)(2+7)}\\\\

                  = \frac{1}{8 \times 9}\\\\= \frac{1}{72}

k= 3 \to  s_1 = \frac{1}{(3+6)(3+7)}\\\\

                  = \frac{1}{9 \times 10} \\\\ = \frac{1}{90}\\\\

k= n^  \to  s_n = \frac{1}{(n+6)(n+7)}\\\\

calculate the sum:S= s_1+s_2+s_3+s_n\\

S= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{(n+6)(n+7)}\\\\

when s_n \ \ dt_{n \to 0}

S= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{(0+6)(0+7)}\\\\= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}....+\frac{1}{6 \times 7}\\\\= \frac{1}{56}+\frac{1}{72}+\frac{1}{90}+\frac{1}{42}\\\\=\frac{45+35+28+60}{2520}\\\\=\frac{168}{2520}\\\\=0.066

\boxed{\text{In point 2:} \sum ^{\infty}_{k = 1} \frac{1}{(n+6)(n+7)} = 0.066}

8 0
3 years ago
Adjust the number into correct standard form.<br> 2206×10^9
pentagon [3]

Answer:

2.306

Step-by-step explanation:

u while times the number

7 0
3 years ago
Help me solve these step by step please !!!
Anettt [7]

Answer:

#2) is 25

Step-by-step explanation:

the best way to solve any of theses is in the order of pemdas:

●parentheses

●exponents

●multiplication & division

●addition & subtraction

for example lets do #2

9+ (2^2)(4)

the first parenthesis has exponents so you'd do it first. 2^2 (two two times) is 4

9+(4)(4)

when two parentheses are next to Each other you multiply. 4x4 is 16

9+16

then finally you add

25

use these steps for the rest. just comment if you have any questions

7 0
3 years ago
Read 2 more answers
Other questions:
  • Name the property used to make the conclusion. If 13=x, then x=13.
    8·1 answer
  • Consider the scatter plot.
    14·2 answers
  • Do not understand Help!!!
    14·2 answers
  • Which unit of measure would you typically use to find the height of a bottle?
    9·2 answers
  • 3x + 25 = 2 - (6x — 15) solve for x
    5·1 answer
  • 8 years from now, bella will be 50% older than she is now. how old is Bella?
    6·2 answers
  • Solve for d.<br> d^3 + 27 = 0<br> Write your answers in simplified, rationalized form.
    8·2 answers
  • Please help me and no links this is due in 10 mins ill give you the crown
    11·1 answer
  • For a new customer a video store charges $10 for rental card plus $2 per movie. If a new customer is charged $22 how many movies
    7·2 answers
  • Helpmeeeeeeeeeeeeeeeeeeee
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!