MATHEMATICS HIGH SCHOOL

Which equation represents the line that passes through (-8,11) andand (4, 7/2)?

A) y = -5/8x + 6
B) y = -5/8x + 16
C) y = 15/2x - 49
D) y = -15/2x + 71

Answers

Answer 1

Answer:

Answer:

A) y = -5/8x + 6

Step-by-step explanation:

y2 - y`1 / x2 - x1

7/2 - 11 / 4 - (-8)

-15/2 / 12

= -5/8

y = -5/8x + b

11 = -5/8(-8) + b

11 = 5 + b

6 = b

Answer 2

Answer:

Answer:

Option (A)

y = - 5 / 8 x + 6

Step-by-step explanation:

Two points are

(x', y') = ( - 8, 11 )

(x'', y'') = (4, 7/2)

The equation o line passing through two points is given by

$(y - y') = (y'' - y')/(x''-x')(x-x')\n\n(y - 11)= ((7)/(2)-11)/(4+8) (x + 8)\n\ny - 11 = (-5)/(8)(x + 8)\n\ny -11 = (-5x)/(8) - 5\n\ny = (-5x)/(8) + 6$

So, option (A) is correct.

Related Questions

Jacob wants to make a graph to show the relationship between temperatures in Fahrenheit and degrees Celsius. He plots the following points:(11, −11.7), (15, −9.4), (25, −3.9), (35, 1.7), (45, 7.2) He uses the following steps to plot the graph: 1.Label origin as (0, 0). 2.On x-axis, label Temperature in Fahrenheit. 3. On y-axis, label Temperature in degrees Celsius. 4.The scale on x-axis starts from 0 and goes up to 700 at intervals of 20. 5.The scale on the y-axis starts from −12 and goes up to 12 at intervals of 2. Which of the following best describes the graph? It will not be spread out horizontally across the entire coordinate plane because in Step 4, Jacob selected an incorrect scale on the x-axis. It will not be spread out vertically across the entire coordinate plane because in Step 5, Jacob selected an incorrect scale on the y-axis. It will not be spread out horizontally across the entire coordinate plane because in Step 2, Jacob plotted Fahrenheit instead of Celsius on the x-axis. It will not be spread out vertically across the entire coordinate plane because in Step 3, Jacob plotted Celsius instead of Fahrenheit on the y-axis.
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Find the equation of the perpendicular bisector of a line segment whose end points are (-3,9) and (-1,5)

Answers

First find the equation of y.

$y=mx+n=(\Delta y)/(\Delta x)x+n$

Find the slope m.

$m=(5-9)/(-1-3)=(-4)/(-4)=1$ .

Pick one point, I'll pick (-3, 9). Insert coordinates in equation then compute n.

$9=1(-3)+n\implies n=12$ .

The equation of a line y is:

$y=x+12$ .

The perpendicular line $y_(\perp)$ is same like the normal line except its slope m becomes:

$k=-(1)/(m)=-1$ .

The equation of a perpendicular bisector is thus:

$y_(\perp)=-x+12$ .

Hope this helps.

Answer:

$y = (1)/(2) x + 3$

Step-by-step explanation:

Using the given points, first find the slope:

m = (₂ - y₁) / (x₂ - x₁)

= (5 - 9) / (-1 - (-3))

= -4 / 2

= -2

Find y-intercept by using anyone of the give points and slope from above:

y = mx + b

5 = -2(-1) + b

5 = 2 + b

b = 3

With the m and b, you can make equation of line:

y = mx + b

y = -2x + 3

To find the perpendicular slope, make it opposite and inverse it.

m = -2 becomes 1/2

Regular equation of line:

y = -2x + 3

Perpendicular equation of line:

$y = (1)/(2) x + 3$

A ship drops its anchor into the water and creates a circular ripple. The radius of the ripple increases ata rate of 50 cm/s. If the origin is used as the location where the anchor was dropped into the water.

Find the equation for the circle 12 seconds after the anchor is dropped

Please write all the steps it’s for my summer school test and I need it done quick as possible thanks.

Answers

Answer:

The equation for the circle 12 seconds after the anchor is dropped is x^2 + y^2 = 360,000

Step-by-step explanation:

To find the equation for the circle 12 seconds when the radius of the ripple increases at a rate of 50 cm/s, the circle radius will be;

50 * 12 = 600 cm

Then place the equation inform of Pythagoras equation which is;

x^2 + y^2 = r^2

Where r is the radius

x^2 + y^2 = 600^2

x^2 + y^2 = 360,000

Then, the equation for the circle 12 seconds after the anchor is dropped is x^2 + y^2 = 360,000

Math question6. Marla swims twice a week. Her equipment cost her $32.85 and she has a membership to the pool for $35 plus $3.50 per visit. She can walk to the pool, so transportation is free. How much will swimming cost her for the year?
(Points : 1)
$431.85
$249.85
$396.85
$492.75

Answers

Answer: Swimming will cost $431.85 for Marla (per year).

Step-by-step explanation:

Hi, to solve this we have to calculate how many weeks are in a year:

If a year has 365 days, we have to divide it by 7 ( the number of days in a week)

So: 365 / 7 =52.14 = 52 weeks

Now, with the information given we have to multiply the number of weeks by the cost per visit multiplied by 2 ( because marla swims twice a week) and add the quipment cost ($32.85) and the membership cost ($35).

Mathematically speaking:

$3.50 x 2 x 52 w + $32.85 + $35 =

$364 + $32.85 + $35 =$431.85

In conclusion, swimming will cost $431.85 for Marla (per year).

$431.85. I got this by multiplying the amount of weeks in a year (52) by two to get 104. I then multiplied that by 3.5 to get 364. I then added 32.85 and 35 to that to get $431.85

Use the coordinates to find the length of each side of the rectangle. Then find the perimeter. D(1,2), E(1,7), F(4,7), G(4,2)

Answers

The perimeter of the rectangle is 16 units.

What is a rectangle?

A rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

We have,

First, let's plot the points on a coordinate plane to visualize the rectangle:

7| F(4,7) E(1,7)

4| o G(4,2)

3| o D(1,2)

|__________

1 2 3 4

Now,

From the coordinates, we can see that the length of side DE is 7 - 2 = 5, and the length of side DG is 4 - 1 = 3.

Since this is a rectangle, we know that opposite sides are congruent, so EF and FG must also have lengths 5 and 3, respectively.

The perimeter of a rectangle is simply the sum of the lengths of all four sides. So, the perimeter of rectangle DEFG is:

perimeter = DE + EF + FG + DG

perimeter = 5 + 5 + 3 + 3

perimeter = 16

Therefore,

The perimeter of the rectangle is 16 units.

Learn more about rectangles here:

brainly.com/question/15019502

#SPJ2

if you are using cm then the perimeter-P=5+5+4+4=18cm

Hasan deposits $150 in a savings account that earns simple interest at an annual rate of 3%. He makes no other deposits or withdrawals. How much interest does his account earn after five years?

Answers

Answer:

$172.5 hope this helps

Step-by-step explanation:

The Roth family has liquid assets of $10,000, use assets of $150,000 and investment assets of $34,000. They also have liabilities totaling $108,000. If their total liabilities increase by $7,000 over the next year, by how much would the Roth family need to increase their assets in order to have a net worth of $100,000?

Answers

Assets=liability+owners equity
(10000+150000+34000)=(108000+7000)+100000
194000=115000+100000
194000=215000
194000+21000=215000
215000=215000
So the answer is 21000

Answer: C. $21,000

Step-by-step explanation:

edge 2021

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