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
Schach [20]
3 years ago
6

Can someone help me please

Mathematics
1 answer:
lianna [129]3 years ago
4 0

Answer:

y=-3/5x+4

Step-by-step explanation:

Pick any two points the line goes through.

I picked

(0,4) and (5,1)

There are a few ways to do this but ultimately, it’s the same concept. I will use slope-intercept form which for me was always easier.

y=mx+b where m is the slope and b is the y-intercept. The y-intercept is the point where the line crosses the y-axis which in this case is point (0,4) so the b=4.

To find the slope, use rise/run between the two points you chose. Point (5,1) is 3 units UNDER point (0,4) so now we have -3/run because -3 is the “rise”. After you count down 3 units always go right. After going right 5 units, you touch point (5,1). So the “run” is 5. Which means that the slope is -3/5.

m=-3/5 and b=4

So the equation is:

y=-3/5x+4

Hope this helps!!

You might be interested in
Drag and drop each pair of lines into the correct category to indicate whether the pair of lines are parallel, perpendicular, or
ANTONII [103]

Answer:

Step-by-step explanation:

<em>(1).</em> \frac{1}{7} x + y = 9 and y = - 7x <em>( Neither )</em> ; lines intersect.

<em>(2).</em> y = 3x - 3; 12x - 4y = 12 <em>( Neither ) </em>; Lines are overlapped or both equation are of the same line.

<em>(3).</em> 7y = 2x + 1; 14x + 4y = 12 <em>( Perpendicular )</em> ; m_{1} = \frac{2}{7} and m_{2} = - \frac{7}{2} , slopes are opposite reciprocals.

<em>(4).</em> x - 4y = 18; y = x + 4 <em>( Neither )</em> ; lines intersect.

<em>(5).</em> 3x - 4y = - 1; 3y = - 4x + 5 <em>( Perpendicular )</em> ; m_{1} = \frac{3}{4} and m_{2} = - \frac{4}{3} , slopes are opposite reciprocals.

7 0
2 years ago
A sandbag is released from a hot air balloon that is 400ft above the ground. Using the falling object model, h = –16t2 + s, wher
Aleonysh [2.5K]

<u>Answer</u>:

It takes 5 seconds for the sandbag to hit the ground

<u>Explanation</u>:

Given:

Height at which the sand bag is released from the hot air balloon= -400 f t

To find:

Time taken for the sandbag to hit the ground, t =?  

Solution:

The initial height =s

Initially the height will be 0

Hences=0

the falling object model equation  

h=-16 t^{2}+s

Substituting the values we get,

h=-16 t^{2}+s

400=16 t^{2}

t^{2}=\frac{400}{16}

t^{2}=25

t=\sqrt{25}

t=5 \text { seconds }

Result:

Thus it takes 5 seconds for the sandbag to hit the ground

3 0
3 years ago
1..A message in a bottle is floating on top of the ocean in a periodic manner. The time between periods of maximum heights is 26
statuscvo [17]

Answer:

See below for answers and explanations (along with a graph attached)

Step-by-step explanation:

<u>Part A</u>

The amplitude of a sinusoidal function is half the distance between the maximum and the minimum. It is given to us that the distance from the highest and lowest point is 6 feet, so our amplitude is 6/2 = 3 feet

<u>Part B</u>

The graph's function would be in the form of y=acos(bx+c)+d where a is the amplitude, \frac{2\pi}{b} is the period, -\frac{c}{b} is the phase/horizontal shift, and d is the average/midline.

We already know our amplitude of a=3 from part A.

Since our period is given to us as 26 seconds, then we can use the equation \frac{2\pi}{b}=26 to find b, which happens to be b=\frac{\pi}{13}.

Since the cosine function starts at its maximum and we want it to start at the average where the bottle travels up, we would need to use the cofunction identity sin(x)=cos(x-\frac{\pi}{2}) which shifts the cosine graph \frac{\pi}{2} units to the right. This means that c=-\frac{\pi}{2}, making our phase shift -\frac{c}{b}=-\frac{-\frac{\pi}{2}}{\frac{\pi}{13}}=6.5, or 6.5 feet to the right

Our average/midline would be d=12 as given as the average height by the problem.

Therefore, the function is f(x)=3cos(\frac{\pi}{13}x-\frac{\pi}{2})+12

<u>Part C</u>

Using our determined function from Part B, by looking at its graph, we see that the bottle will reach its lowest height of 9 feet after 19.5 seconds (see attached graph).

5 0
2 years ago
Read 2 more answers
The volume of the rectangular prism below is 30x^3+35^2+10x factor to find the possible expressions for length width and height
Mekhanik [1.2K]
The correct answer is Choice C.

Here are the steps to factor the expression:

30x^3 + 35x^2 + 10x

5x(6x^2 + 7x + 2)

5x(6x^2 + 3x + 4x + 2)

5x(3x(2x + 1) + 2(2x + 1))

5x(3x + 2)(2x + 1)
5 0
3 years ago
Kimmys savings account has a balance of $76.23 in june. By September, her balance is 5 times as much as her June balance. Betwee
Andru [333]
If she doesn't withdraw (spend) any money she would have a total of 468.98$
4 0
3 years ago
Read 2 more answers
Other questions:
  • Plz helpaaaaaaaaaaaa
    8·2 answers
  • Express the complex number in trigonometric form.<br><br> 2 - 2i
    15·2 answers
  • Solve 4x -5 =9 help me pls
    9·1 answer
  • 12 decreased by 8 times a number is 36
    6·1 answer
  • Find the length of the missing side of necessary round to the nearest tenth
    5·1 answer
  • A state is considering license plates that have two digits followed by four letters. Assuming no combinations are excluded, how
    5·2 answers
  • Which equation shows P=2l + 2w when solved for w?
    15·2 answers
  • What is 9/16+1/2 equal to
    7·2 answers
  • What is the renters rule
    12·1 answer
  • The maximum amount you can spend for renting a motor scooter is $50. The rental fee is $12 and the cost per hour is $9.50. Solve
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!