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anyanavicka [17]
3 years ago
12

The points (6, -3) and (7, -10) fall on a particular line. What is its equation in point-slope form? Use one of the specified po

ints in your equation. Write your answer using integers, proper fractions, and improper fractions. Simplify all fractions.
Mathematics
1 answer:
kumpel [21]3 years ago
6 0

Answer:

Step-by-step explanation:

Given the coordinate points (6, -3) and (7, -10), we are to find the equation of a line passing through this two points;

The standard equation of a line is y = mx+c

m is the slope

c is the intercept

Get the slope;

m = Δy/Δx = y2-y1/x2-x1

m = -10-(-3)/7-6

m = -10+3/1

m = -7

Get the intercept;

Substitute the point (6, -3) and m = -7 into the expression y = mx+c

-3 = -7(6)+c

-3 = -42 + c

c = -3 + 42

c = 39

Get the required equation by substituting m = -7 and c= 39 into the equation y = mx+c

y = -7x + 39

Hence the required equation is y = -7x + 39

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Answer:

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3 years ago
You have been asked to design a rectangular box with a square base and an open top. The volume of the box must be 500cm3. Determ
babymother [125]

Answer:

x = 10 cm, y = 5 cm gives a minimum area of 300 cm^2.

Step-by-step explanation:

V= x^2y = 500

Surface area A = x^2 + 4xy.

From the first equation y = 500/x^2

So substituting for y in the equation for the surface area:

A = x^2 + 4x * 500/x^2

A = x^2 + 2000/x

Finding the derivative:

dA/dx = 2x - 2000x^-2

dA/dx = 2x - 2000/x^2

This = 0 for a minimum/maximum value of A, so

2x - 2000/x^2  = 0

2x^3 - 2000 = 0

x^3 = 2000/ 2 = 1000

x = 10

Second derivative is  2 + 4000/x^3

when x = 10  this is positive so x = 10 gives a minimum value of A.

So y =  500/x^2

= 500/100

= 5.

6 0
3 years ago
Can someone please help?
castortr0y [4]
B- They are always congruent. Congruent means in agreement or harmony. But in this case, identical in form. Parallelograms are parallel on both sides, which makes them have congruent sides. 
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5 0
3 years ago
Last one I promise!! Help me plz I will help u
Murrr4er [49]
Answer is 
C. it's one half the area of rectangle of length 4 units and 3 units

because
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so Area of triangle is one half the area of rectangle of 4 and 3 units
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3 years ago
What is the solution to the equation 3/8x + 1 = 9/4
STALIN [3.7K]
3/8x+1=9/4
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3 years ago
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