Use the Distance Formula to find the distance between each pair of points. Round to the nearest tenth if necessary.
5. P(1, 1), Q(–1, –1)
6. E(1/2,4 1/4),F(5,-1/2)
Given:
The pair of points.
5. P(1, 1), Q(–1, –1)
6. [tex]E\left(\dfrac{1}{2},4\dfrac{1}{4}\right), F\left(5,-\dfrac{1}{2}\right)[/tex]
To find:
The distance between the pair of points.
Solution:
Distance formula:
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
5.
The distance between the pair of points P(1, 1) and Q(–1, –1) is:
[tex]PQ=\sqrt{(-1-1)^2+(-1-1)^2}[/tex]
[tex]PQ=\sqrt{(-2)^2+(-2)^2}[/tex]
[tex]PQ=\sqrt{4+4}[/tex]
[tex]PQ=\sqrt{8}[/tex]
[tex]PQ=2\sqrt{2}[/tex]
Therefore, the distance between P and Q is [tex]2\sqrt{2}[/tex].
6.
The distance between the pair of point [tex]E\left(\dfrac{1}{2},4\dfrac{1}{4}\right), F\left(5,-\dfrac{1}{2}\right)[/tex] is:
[tex]EF=\sqrt{\left(5-\dfrac{1}{2}\right)^2+\left(-\dfrac{1}{2}-4\dfrac{1}{4}\right)^2}[/tex]
[tex]EF=\sqrt{\left(\dfrac{10-1}{2}\right)^2+\left(-\dfrac{1}{2}-\dfrac{17}{4}\right)^2}[/tex]
[tex]EF=\sqrt{\left(\dfrac{9}{2}\right)^2+\left(\dfrac{-2-17}{4}\right)^2}[/tex]
[tex]EF=\sqrt{\dfrac{81}{4}+\left(\dfrac{-19}{4}\right)^2}[/tex]
On further simplification, we get
[tex]EF=\sqrt{\dfrac{81}{4}+\dfrac{361}{16}}[/tex]
[tex]EF=\sqrt{\dfrac{324+361}{16}}[/tex]
[tex]EF=\sqrt{\dfrac{685}{16}}[/tex]
[tex]EF=\sqrt{42.8125 }[/tex]
[tex]EF\approx 6.5[/tex]
Therefore, the distance between E and F is 6.5 units.
help pls, write in slope intercept form.
3x+4y=8
Answer:
y=3/4x-2
Hope this could help! Math is the worst! (ミ ̄ー ̄ミ)
Can someone identify this
Answer:
no entindendol ingels
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
square 6, which is 36. then square 10, which is 100. then do:
100-36=64
take the square root of 64, which is 8.
Help me I don’t know how to do this
Answer:
hmm
Step-by-step explanation:
Micah trims bushes for an extra cost of $2 for every 5 bushes. Next week, Micah has 34 lawns to mow and 105 bushes to trim on his schedule. If Micah completed all his work next week, how much money, in dollars, will he earn?
Answer:
$ 1,232
Step-by-step explanation:
Answer:
Try the links below
do CTRL+F and then look up micah also trims bushes.
Your answer should be there
Step-by-step explanation:
https://mmayo.weebly.com/uploads/8/3/8/3/8383777/istep_extended_response_review.docx
http://stalbaum.weebly.com/uploads/1/4/0/8/14088751/istep_review.pdf
please help me on this cause I'm confused
Answer:
h = 2.7 m
Step-by-step explanation:
The larger triangle and the smaller triangle are similar so ratios of corresponding sides are equal, that is
[tex]\frac{6}{6+12}[/tex] = [tex]\frac{0.9}{h}[/tex] , that is
[tex]\frac{6}{18}[/tex] = [tex]\frac{0.9}{h}[/tex] ( cross- multiply )
6h = 16.2 ( divide both sides by 6 )
h = 2.7 m
Please help and please don't answer just for the points I'll report you
Answer:
Length of sandbox (3w + 1) = 9.1 m
Width of sandbox = 2.7 m
Step-by-step explanation:
[tex]w(3w + 1) = {5}^{2} \\ \\ 3 {w}^{2} + w = 25 \\ \\ 3 {w}^{2} + w - 25 = 0 \\ \\ equating \: it \: with \\ \\ a {x}^{2} + bx + c = 0 \\ \\ a = 3 \\ b = 1 \\ c = - 25 \\ \\ {b}^{2} - 4ac \\ = {1}^{2} - 4 \times 3( - 25) \\ \\ = 1 + 300 \\ \\ = 301 \\ \\ w = \frac{ - 1 \pm \sqrt{301} }{2 \times 3} \\ \\ w = \frac{ - 1 \pm 17.3493516 }{6} \\ \\ w = \frac{ - 1 \pm 17.3493516 }{6} \\ \\ considering \: only \: + ve \: sign \\ \\ w = \frac{ - 1 + 17.3493516 }{6} \\ \\ w = \frac{16.3493516 }{6} \\ \\ w = 2.72489193 \\ \\ w = 2.7 \: m[/tex]
3w + 1 = 3*2.7 + 1 = 8.1 + 1 = 9.1 m
A cylinder has a height of 10 inches and a radius of 5.5 inches. What is the
approximate volume of this cylinder?
A. 949.85 in 2
B. 949.85 in 3
C. 550.2 in 3
D. 550.2 in 2
Answer: 949.85 in 3
Step-by-step explanation:i took the test lol
3) The cost of a movie ticket and a candy bar is $5. The cost of 2 tickets
and a candy bar is $8.75. How much is a candy bar? *
Answer:
$1.25
Step-by-step explanation:
Given data
let the movie ticket be x and the candy bar be y
x+y= 5-------------1
also
2x+y= 8.75--------2
solve 1 and 2
x+y= 5
2x+y= 8.75
from 1
x= 5-y
put this inplace of x in 2
2(5-y)+y=8.75
10-2y+y= 8.75
10-y= 8.75
10-8.75=y
y= 1.25
Hence candy bar is $1.25
Are linear inequality graphs different from linear equations graphs
Answer:
The only difference between the two equations is that, a linear equation gives a line graph whereas a linear inequality shows the area of the coordinate plane that satisfies the inequality. A linear inequality graph usually uses a borderline to divide the coordinate plane into two regions.
Step-by-step explanation:
Your profile picture lol
Answer:
Trust me his/her answer are correct.....
help please! ill mark you brainliest!
Answer:
80 degrees
Step-by-step explanation:
angle c=50
this is an isoceles triangle in which both base angles are same
so, angle e=50
now we will use angle sum.property which states that the sum of all the interior angles of a triangle is equal to 180
so, 50+50+angle d=180
100 + angle d = 180
angle d =180-100
angle d = 80 degrees
Look at the picture and thanks
Please help me, there are 2 pictures because my screen does not fit it all, will award brainliest and extra 100 points if correct.
. Find the sum of the following polynomials.
1. 10mn and -15mn ____________________________________________
2. -7a
2
and -8a
2
____________________________________________
3. 6(x+3) and -7(x+3) ____________________________________________
4.
1
4
ab and -
1
4
ab ____________________________________________
5. 0.5 xyz and 1.5 xyz
Answer ad Step-by-step explanation:
1. Adding 10mn and -15mn.
10mn + -15mn = -5mn.
2. Adding [tex]-7a^{2}[/tex] and [tex]-8a^{2}[/tex].
[tex]-7a^{2} + -8a^{2} = -15a^{2}[/tex].
3. Adding 6(x + 3) and -7(x + 3).
6x + 18 + -7x - 21
x - 3.
4. Adding ?
5. Adding 0.5xyz and 1.5 xyz.
0.5xyz + 1.5xyz = 2xyz.
#teamtrees #PAW (Plant And Water)
1 picture 2 questions please help
Answer:
7)It is possible for two rectangles to have the same area but not the same perimeter 8) 8cm
Step-by-step explanation:
The expression 3x + 5x - 5y + 2 consists of four_____.
(hint: these are parts of the expression that are "added or subtracted")
A Factors
B Terms
C Variables
D Coefficients
Draw a vertical y-axis on the left-hand side of your graph and label it. Then draw a horizontal x-axis at the bottom of your graph. Then label the coordinates of each corner of the sign on your graph. Draw line a on your graph. What is the slope of line a?
Answer: 20
Step-by-step explanation:
PLEASE HELP SHOW YOUR WORK. HURRY I WILL MARK YOU BRIANLIEST.
Answer:
6.86
Step-by-step explanation:
First, divide 4.90 by 5 then multiply 0.98 by 7.
Using the graph to the right, write the ratio in simplest form BC/BD
COLOR THEME
ZOOM
14. At Hudson Middle School, 1 out of 5 students brings their lunch to school each day. If the
school has 245 students, how many students bring their lunch to school each day?
CLEAR
What is the equation of the line that passes through the point (4, 12) and has a y-intercept of -2?
A y = 12 x - 2
B. y = {x-2
C y = 2x - 2
D. y = 6x - 2
Answer:
The answer is D.
Step-by-step explanation:
:DDDDDDDDD
What is 6/5 be cause I am having a hard time
Answer:
Step-by-step explanation:
6/5 = 1⅕ or 1.2
Answer:
decimal form 1.2
mixed form: 1 1/5
Step-by-step explanation:
I'm not sure which answer you were looking for
Use the graph below to solve the equation. (Find the solutions or the roots)
Answer: I see a dot so -2,-2?
Step-by-step explanation:
Solve for n.
−56n=40
n=−56
n=−48
n = 48
n = 56
Answer:
n=56
Step-by-step explanation:
choose as brinlest
Answer:
n=−56
Step-by-step explanation:
PLEASE HELP THIS IS DUE ASAP AND I WILL MARK U BRAINLIEST
Answer: 4/1
Step-by-step explanation:
Rise over run. Starting at 1 on the y axis this line moves up 4 and over (right) 1 before it hits 1 on the x axis.
2. Karen was cutting out some fabric
for a friend. She cut a piece that
was 6 centimeters wide and had an
area of 36 square cm. How long
was the piece?
1. 30 cm
2.6 cm
3. 42 cm
4. 26 cm
Please help me ASAP
2) solve for s please
Answer:
75
Step-by-step explanation:
In the figure below, what is the measure of angle z?
56°
76°
Answer:
124
Step-by-step explanation:
Write a linear function f with the given values.
f(0) = 4,f(5)=19
Answer:
f(x) = 19x/5+4
Step-by-step explanation:
f(0) = 4,f(5)=19
[f(x) - 4]/[x-0] = (19-0)/(5-0)
f(x) = 19x/5+4