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
siniylev [52]
3 years ago
5

Question 2

Mathematics
1 answer:
S_A_V [24]3 years ago
7 0

Answer: B -8/7x+11/7

Step-by-step explanation:

First find the slope using teh formule y_{2}-y_1\\x_2-x_1 which is teh formula for slope in this case the slope would be (-8/7) then pick a pair of points in this case we will use (4,-3) plug in the slope and the coordinate pair into the intercept formula (y=mx+b) so it would look like -3=-8/7(4)+b then solve for b so the answer be 8/7x+11/7

You might be interested in
Triangle ABC has been rotated 90° to create triangle DEF. Using the image below, prove that lines BC and EF have the opposite an
denis-greek [22]
The correct answer is acute.
5 0
2 years ago
Drag the item from the item bank to its corresponding match.
ANTONII [103]

Answer:

i cant help you because i cant see the things on the picture if u get a better picture i can help

Step-by-step explanation:

7 0
3 years ago
Simplify quantity 4 x squared plus 12 x minus 16 all over quantity 2x plus 10 over quantity 6 x plus 24 over quantity x squared
Softa [21]
The answer is: (x-1)(x+4)/3
hope this helped! (:
6 0
3 years ago
Read 2 more answers
Write down the explicit solution for each of the following: a) x’=t–sin(t); x(0)=1
Kay [80]

Answer:

a) x=(t^2)/2+cos(t), b) x=2+3e^(-2t), c) x=(1/2)sin(2t)

Step-by-step explanation:

Let's solve by separating variables:

x'=\frac{dx}{dt}

a)  x’=t–sin(t),  x(0)=1

dx=(t-sint)dt

Apply integral both sides:

\int {} \, dx=\int {(t-sint)} \, dt\\\\x=\frac{t^2}{2}+cost +k

where k is a constant due to integration. With x(0)=1, substitute:

1=0+cos0+k\\\\1=1+k\\k=0

Finally:

x=\frac{t^2}{2} +cos(t)

b) x’+2x=4; x(0)=5

dx=(4-2x)dt\\\\\frac{dx}{4-2x}=dt \\\\\int {\frac{dx}{4-2x}}= \int {dt}\\

Completing the integral:

-\frac{1}{2} \int{\frac{(-2)dx}{4-2x}}= \int {dt}

Solving the operator:

-\frac{1}{2}ln(4-2x)=t+k

Using algebra, it becomes explicit:

x=2+ke^{-2t}

With x(0)=5, substitute:

5=2+ke^{-2(0)}=2+k(1)\\\\k=3

Finally:

x=2+3e^{-2t}

c) x’’+4x=0; x(0)=0; x’(0)=1

Let x=e^{mt} be the solution for the equation, then:

x'=me^{mt}\\x''=m^{2}e^{mt}

Substituting these equations in <em>c)</em>

m^{2}e^{mt}+4(e^{mt})=0\\\\m^{2}+4=0\\\\m^{2}=-4\\\\m=2i

This becomes the solution <em>m=α±βi</em> where <em>α=0</em> and <em>β=2</em>

x=e^{\alpha t}[Asin\beta t+Bcos\beta t]\\\\x=e^{0}[Asin((2)t)+Bcos((2)t)]\\\\x=Asin((2)t)+Bcos((2)t)

Where <em>A</em> and <em>B</em> are constants. With x(0)=0; x’(0)=1:

x=Asin(2t)+Bcos(2t)\\\\x'=2Acos(2t)-2Bsin(2t)\\\\0=Asin(2(0))+Bcos(2(0))\\\\0=0+B(1)\\\\B=0\\\\1=2Acos(2(0))\\\\1=2A\\\\A=\frac{1}{2}

Finally:

x=\frac{1}{2} sin(2t)

7 0
3 years ago
Write 4.81 x 10^5 in standard form
tia_tia [17]
481,000
this is the answer because standered form is just asking to write the number out instead of notation
7 0
3 years ago
Other questions:
  • Solve: 3(2x - 5) = 6x - 15<br> A) 0 <br> B) 1 <br> C) 20 <br> D) infinitely many solutions
    13·2 answers
  • Robert buys 4 pounds of cauliflower at $0.85 a pound. He also buys 4 pounds of brussels sprouts. If he spends $6.40 on the veget
    8·2 answers
  • Write as an algebraic expression: a number that is 5 more than half of z
    12·2 answers
  • The area of the red square is 16 ft2. The area of the yellow square is 25 ft2. What is the area of the green square? A) 3 ft2 B)
    8·1 answer
  • Penny is making a square tablecloth that has an area of 49 square feet. What is the length of one of its sides?
    10·1 answer
  • 2/5 ÷ 22/35 <br>simplify​
    6·2 answers
  • Ryan has his own business selling watches, and he wants to monitor his profit per watch sold. The expression <img src="https://t
    15·2 answers
  • What is your estimate for the total amount of time students in your school spent during this past semester studying for final ex
    6·1 answer
  • (5y+5)+(7y-9)=(6x+50)+2(5x-5)
    14·2 answers
  • Find the highest common factor of 12 and 40<br>​
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!