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3 years ago

What is the length of line segment S T if S is at -5,-1 and T is at -1,12? Round to the nearest hundredth.

1 answer:

4 0

Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(-5,-1)(-1,12)

d = sqrt (-1-(-5)^2 + (12 - (-1)^2
d = sqrt (-1 + 5)^2 + (12 + 1)^2
d = sqrt (4^2) + (13^2)
d = sqrt (16 + 169)
d = sqrt 185
d = 13.60 <==

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Suppose a company has fixed costs of $44,200 and variable cost per unit of 4/9x+222 dollars, where x is the total number of unit

notsponge [240]

Answer:

23,000

Step-by-step explanation:

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3 years ago

{(-1, 4), (-1,9), (-1; 15), (-1,0)} D = R= Function? Please help

tatiyna

D= {-1}
R= {4,9,15,0}
Function? No, the relation is not a function.

4 0

3 years ago

← How many solutions does this linear system have y = x+2 6x - 4y = -10

defon

Answer:

This linear system has one solution.

Step-by-step explanation:

First equation: y = x + 2

Second equation: 6x - 4y = -10

Let's change the second equation in slope-intercept form y = mx + b.

Slope-intercept form

y = mx + b

m ... slope

b ... y-intercept

$6x - 4y = -10$

$6x + 10 = 4y$

$\frac{6}{4}x + \frac{10}{4} = y$

$\frac{3}{2}x + \frac{5}{2} = y$

If two lines have the same slope but different y-intercept, they are parallel - system has no solutions.

If two lines have the same slope and the same y-intercept, they are the same line and are intersecting in infinite many points - system has infinite many solutions.

If two lines have different slopes then they intersect in one point - system has one solution.

We see that lines have different slopes. First line has slope 1 and the other line has slope $\frac{3}{2}$ . So the system has one solution.

You can also check this by solving the system.

Substitute y in second equation with y from first.

6x - 4y = -10

6x - 4(x + 2) = -10

Solve for x.

6x - 4x - 8 = -10

2x = -2

x = -1

y = x + 2

y = -1 + 2

y = 1

The lines intersect in point (-1, 1). <-- one solution

8 0

1 year ago

Find the midpoint of the line segment.

Alik [6]

Answer:

(1, 3)

Step-by-step explanation:

The first endpoint (the one on the left) is (-3, 2). The second endpoint (the one on the right) is (5, 4). To find the midpoint, find the middle of both x and y. To do that, add the values of x and y respectively and divide by 2:

for x-value of midpoint:

(x-value of first endpoint + x-value of second endpoint) / 2

= (-3 + 5) / 2

= 2 / 2

= 1

for y-value of midpoint

(y-value of first endpoint + y-value of second endpoint) / 2

= (2 + 4) / 2

= 6 / 2

= 3

8 0

4 years ago

The volume of air inside a rubber ball with radius r can be found using the function vn What doerepresent? The volume of air ins

vekshin1

I would say it represents the volume function evaluated at r=5/7, or

V(5/7)=(4/3)π(5/7)² = 2.13714

8 0

3 years ago