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
belka [17]
3 years ago
12

Find the distance between (3, 8) and (7, -11). Round to the nearest hundredth.

Mathematics
1 answer:
Mama L [17]3 years ago
4 0
Distance formula : d = sqrt (x2 - x1)^2 + (y2 - y1)^2
(3,8)(-7,11)
d = sqrt (-7 - 3)^2 + (11 - 8)^2
d = sqrt (-10^2) + (3^2)
d = sqrt (100 + 9)
d = sqrt 109
d = 10.44
===============
mid-point formula : ((x1 + x2) / 2 , (y1 + y2) / 2)
(-9,5)(21,-7)

midpoint = ((-9 + 21)/2 , (5 + (-7)/2)
               = ((12/2) , (-2,2))
               = (6, -1) <==
=======================
(-8,7)(-9,11)
midpoint = ((-8 + (-9) / 2, (7 + 11)/2 )
               = (-17/2, 18/2)
               = (-8.5, 9) <==
======================
(8,y)(-11,6).....midpoint = (-1.5/5)
midpoint = ((8 + (-11)/2, (y + 6)/2)
               = (-3/2), (4 + 6)/2
               = (-1.5,5)
               y = 4 <==
======================
slope = (y2 - y1) / (x2 - x1)
(3,-6)(6,12)
slope = (12 - (-6) / (6 - 3) = (12 + 6) / 3 = 18/3 = 6 <==
======================
(x,10)(-4,8)...slope = 2/3

y = mx + b
slope(m) = 2/3
(-4,8)...x = -4 and y = 8
sub and find b
8 = 2/3(-4) + b
8 = -8/3 + b
8 + 8/3 = b
24/3 + 8/3 = b
32/3 = b
equation is : y = 2/3x + 32/3 or 3y = 2x + 32
when y = 10
3(10) = 2x + 32
30 - 32 = 2x
-2 = 2x
-2/2 = x
-1 = x <===
=================
(9,0)(3,y)...slope = 1/2

y = mx + b
slope(m) = 1/2
(9,0)...x = 9 and y = 0
sub and find b
0 = 1/2(9) + b
0 = 9/2 + b
-9/2 = b
equation is : y = 1/2x - 9/2 or 2y = x - 9
sub in 3 for x and solve for y
2y = 3 - 9
2y = -6
y = -6/2
y = -3 <==
=================
(8,7)(11,7)...notice how the y values are the same. This means it is a horizontal line. A horizontal line has a slope of 0.
====================
sorry...not too good with the picture graphs







You might be interested in
Luke started a weight-loss program. The first week, he lost X pounds. the second week he lost 3/2 pounds less then 3/2 times the
irga5000 [103]

Luke started a weight-loss program.

The first week, he lost X pounds.

the second week he lost 3/2 pounds less then 3/2 times the pounds he lost the first week. so, he lost 3/2 x - 3/2

The third week, he lost 1 more pound than 3/4 of the pounds he lost the first week. so, he lost 3/4 x + 1

So, over 3 weeks he lost :

x + (3/2 x - 3/2) + (3/4 x + 1) = 13/4 x - 1/2

=========================================================

Liam started the program when Luke did.

The first week, he lost 1 pound less than 3/2 times the pounds luke lost the first week. so, he lost (3/2 x - 1)

The second week, he lost 4 pounds less than 5/2 times the pounds luke lost the first week. so ,he lost (5/2 x - 4)

The third week, he lost 1/2 more than 5/4 times the pounds luke lost the first week. so, he lost, ( 5/4 x + 1/2)

The expression for Liam's weight loss over the three weeks is =

= (3/2 x - 1) + (5/2 x - 4) + ( 5/4 x + 1/2) = 21/4 x - 9/2

=============================================================

Assuming they both lost the same number of pounds over the three weeks

So, equating the number of pounds lost by each one of them

so,

13/4 x - 1/2 = 21/4 x - 9/2

solve for x

13/4 x - 21/4 x = -9/2 + 1/2

-2x = -4

divide both sides by -2

so,

x = -4/-2 = 2

so,

The number of pounds luke lost in the fist week is 2 pounds

=============================================================

4. The number of pounds luke and liam each lost over the three weeks is

= 13/4 * 2 - 1/2 = 6 pounds

7 0
1 year ago
Gemma's soup recipe is shown in the table above.What is the radio of chicken stock to mixed vegetables? Express the ratio as a f
mars1129 [50]
Ratio of chicken stock to mixed vegetables is 3.5 to 8
3 0
3 years ago
Read 2 more answers
In the image it appears everything
rosijanka [135]
X = -3 it's practically the y intercept in which x is equals 0
4 0
3 years ago
Read 2 more answers
I need help with all the problems in this photo I need help now
NeX [460]
The answer to 6 is repeating I believe
5 0
3 years ago
Read 2 more answers
10. The numbers —12, —7, —2, 3... follow a pattern. What are the next three numbers in this pattern? 7, 11, 16 5, 10, 15 2, 7, 1
Alik [6]
The answer is 8, 13, 18
4 0
3 years ago
Other questions:
  • in a group of 120 people,90 of them are 30 years old or older. Everyone else in the group is younger than 20 years old. If a per
    12·1 answer
  • The water level of a river is 34 feet and is receding at a rate of 0.5 foot per day. Write an equation that represents the water
    7·1 answer
  • What is the perimeter
    6·1 answer
  • If an average sunflower has 34 petals what is the best estimate for the total number of petals on 57 sunflowers
    6·1 answer
  • Six groups of students sell 162 balloons at a carnival.There are 3 students in a group.If each student sells the same number how
    8·1 answer
  • Create a proportional ratio<br> to the given ratio.<br> 10<br> 5
    5·1 answer
  • Use the graph to find the slope.
    9·1 answer
  • Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a radius of 7 feet and
    8·1 answer
  • If ° (3n-4)2 * = 310 then n= ?
    6·1 answer
  • Financial Literacy Budget
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!