Answers
Answer/Step-by-step explanation:
WX: 4.47
[tex]4^{2} + 2^{2} = 20\\\sqrt{20} = 4.47[/tex]
XY: 3.61
[tex]3^{2} + 2^{2} = 13\\\sqrt{13} = 3.61[/tex]
YZ: 4.12
[tex]1^{2} + 4^{2} = 17\\\sqrt{17} =4.12[/tex]
WZ: 4.24
[tex]3^{2} + 3^{2} = 18 \\\sqrt{18} = 4.24[/tex]
The slopes of the lines are:
WX = 2
XY = -1.5
YZ = 4
WZ = -1
Given is a polygon on a coordinate plane with vertices =
W = (-5, 1)
X = (-3, 5)
Y = (-1, 2)
Z = (-2, -2)
We need to find the slopes of line =
WX, XY, YZ and WZ
To find the slopes of the lines connecting the vertices of the polygon, we can use the formula for the slope between two points (x₁, y₁) and (x₂, y₂):
slope = (y₂ - y₁) / (x₂ - x₁)
Let's calculate the slopes for each line:
1) Slope of line WX:
W = (-5, 1)
X = (-3, 5)
slope(WX) = (5 - 1) / (-3 - (-5))
= 4 / 2
= 2
So, the slope of line WX is 2.
2) Slope of line XY:
X = (-3, 5)
Y = (-1, 2)
slope(XY) = (2 - 5) / (-1 - (-3))
= -3 / 2
= -1.5
So, the slope of line XY is -1.5.
3) Slope of line YZ:
Y = (-1, 2)
Z = (-2, -2)
slope(YZ) = (-2 - 2) / (-2 - (-1))
= -4 / (-1)
= 4
So, the slope of line YZ is 4.
4) Slope of line WZ:
W = (-5, 1)
Z = (-2, -2)
slope(WZ) = (-2 - 1) / (-2 - (-5))
= -3 / 3
= -1
So, the slope of line WZ is -1.
Therefore, the slopes of the lines are:
WX = 2
XY = -1.5
YZ = 4
WZ = -1
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Related Questions
How many 1 fourths are in 3 fourths?
Answers
Answer:
12
Step-by-step explanation:
This question means 3/(1/4). The rule for division of fractions is invert the denominator and multiply. 3/(1/4) = 3 * 4 = 12. Another way to think of it is to imagine you have 3 pies each divided into quarters.
sports drinks- $1.75
pizza- $2.25
Answers
Answer:
7 drinks
Step-by-step explanation:
7x1.75=12.25
4 x 2.25= 9
added - 21.25
What is the value of the function f(x) = 7x when x = 0.75? *
Answers
Answer:it is -1
Step-by-step explanation:
Answer:
5.25
Step-by-step explanation:
As per the question, we have
f(x)=7x
at x=0.75
f(0.75)=&(0.75)
f(0.75) = 7 x 75/100 (this is a fraction)
f(0.75)= 525/100 (this is a fraction)
f(0.75)=5.25
Hence, the value of f(x)=7x at x=0.75 is 5.25
2 4/5 ÷ 2 1/5 =
(Please answer as a fraction)
Answers
Answer:
1 3/11
Step-by-step explanation:
I’ll mark you brainlist I’ll mark you brainlist write in y=mx+b form
Answers
Which statement describes a ratio?
Answers
2x100x3x0 solve lol :)
Answers
Answer:
the answer is 0
Step-by-step explanation:
2x100x3x0 equals and levels out to 0 :)
Answer:
0
Step-by-step explanation:
100 x 2 = 200
200 x 3 = 600
600 x 0 = 0
At the bookstore, Tim bought a magazine for $4, and five books that all cost the same amount. He spent a total of $129. Which equation expresses how much each book cost?
Answers
Answer:
25(b) + 4 = 129
Step-by-step explanation:
b=5
25(5) + 4=129
For a function, each input(x) can only have ONE output (y). Is this a function?
Il-1, 1), (-1,0),(-1,-1),(-1,-2)}
Answers
Answer C
Step-by-step explanation:
Percent equations I need help plzzz here is the question blank % of 6,000 = 4,800
Answers
Answer:
20%
Step-by-step explanation:
20% of 6000 = 4800
If I helped you, can you mark me brainliest please?
100 POINTS PLS HELP
2 5.2.3 Quiz: Canceling Units
Question 2 of 15
In converting 105 seconds to minutes, what unit (omit the number) would you
place in the denominator of your ratio? Use the plural form in your answer.
Remember that there are 60 seconds in 1 minute.
Answer here
Answers
I need help any help is appreciated please
Answers
Answer:
third option both cost the same after 2 months
Plz need help rn What is m
Answers
Answer:
measure of angle p=
94
Step-by-step explanation:
ok 5 sided polygon= 540
so put all of those equal to 540
need to find x first
540=132+(4x-10)+(5x-11)+128+(4x+2)
simplify and combine like terms
x=23
now plug in for angle p
(4(23)+2)
94
How can
1/3x-2 = 1/4x+ 11 be set up as a system of equations?
A.
3y - X = -6
4y - x = 44
B.
3y + x = -6
4y + x = 44
C.
3y - 3x = -6
4y - 4x = 44
D.
3y + 3x = -6
4y + 4x = 44
Answers
Answer: c
Step-by-step explanation:
bc i said
Three pounds of oranges cost $4.50 complete the table
Answers
I need help, can somebody plz help
Answers
Answer:
c
Step-by-step explanation:
What is the solution for the equation 4x – 10 = 2x?
Answers
Answer:
5x
Step-by-step explanation:
subtract 4x fromboth sides
4x-10=2x
-4x -4x
divide both sides by -2
-10=-2x
-10/-2=-2x/-2
5=x
Tell me if I’m correct or incorrect
A
A
A
Dd
D
D
S
S
E
We
We
We
E
E
S
S
S
S
S
S
S
Das
S
S
S
S
S
S
S
S
S
Can somebody help me on this one
Answers
Hope it help
Write the equation in Standard Form.
y=3/2x - 6
Answers
Answer:
3x - 2y = 12
Step-by-step explanation:
3x-2y=12 is the standard form of equation y=3/2x - 6
What is slope intercept form of line?The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The equation is y=3/2x - 6
y equal to three by two times of x minus six
y=3/2x - 6
LCM of 1 and 2 is 2
y=(3x-12)/2
Now apply cross multiplication
2y=3x-12
Two times of y equal to three times of x minus twelve
Now take 2y to RHS side
3x-2y-12=0
3x-2y=12
Hence 3x-2y=12 is the standard Form of equation y=3/2x - 6.
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A store has x number of shirts. Each shirt was sold for $16, but the last dozen was sold on sale for $14 each. When all shirts were sold, the store gained $616. Find the number of shirts sold at the regular price.
Answers
Answer:
28 shirts
Step-by-step explanation:
Let's see what we are given.
there are x amount of shirts ($616 total)
there are 12 in a dozen
the regular shirts are $16
the last 12 shirts are $14
Lets make an equation.
616= 14(12) + 16x
616=168+16x
448=16x
x=28
(Sorry if this explanation is bad)
PLEASE HELP ME I NEED HELP ITS DUE RIGHT NOW
Answers
Answer:
a
Step-by-step explanation:
Answer:
I think its the number of months
Step-by-step explanation:
It could be the number of months because its kinda independent. If you think about it, the cost is depending on the number of months-(you pay depending on the number of months). It could also be the $30 because it really doesn't depend on anything.
Hope this helps:)
What is the largest possible integral value in the domain of the real-valued function
f(x)=[tex]\frac{1}{\sqrt{800-2x} }[/tex]
Answers
Answer:
Max Value: x = 400
General Formulas and Concepts:
Algebra I
Domain is the set of x-values that can be inputted into function f(x)Calculus
AntiderivativesIntegral Property: [tex]\int {cf(x)} \, dx = c\int {f(x)} \, dx[/tex]Integration Method: U-Substitution[Integration] Reverse Power Rule: [tex]\int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C[/tex]Step-by-step explanation:
Step 1: Define
[tex]f(x) = \frac{1}{\sqrt{800-2x} }[/tex]
Step 2: Identify Variables
Using U-Substitution, we set variables in order to integrate.
[tex]u = 800-2x\\du = -2dx[/tex]
Step 3: Integrate
Define: [tex]\int {f(x)} \, dx[/tex]Substitute: [tex]\int {\frac{1}{\sqrt{800-2x} } } \, dx[/tex][Integral] Int Property: [tex]-\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx[/tex][Integral] U-Sub: [tex]-\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du[/tex][Integral] Rewrite: [tex]-\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du[/tex][Integral - Evaluate] Reverse Power Rule: [tex]-\frac{1}{2}(2\sqrt{u}) + C[/tex]Simplify: [tex]-\sqrt{u} + C[/tex]Back-Substitute: [tex]-\sqrt{800-2x} + C[/tex]Factor: [tex]-\sqrt{-2(x - 400)} + C[/tex]Step 4: Identify Domain
We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.
Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.
For f(x) = 5x and g(x)= x + 9, find
(fog)(x); b. (gof)(x); (fog)(3)
a.
C.
a.
(fog)(x)=
(Simplify your answer.)
Answers
Answer:
(fog)(x) = 5x+45(gof)(x) = 5x+9(fog)(3) = f(g(3)) = f(12) = 60Step-by-step explanation:
Given
f(x) = 5xg(x) = x + 9Finding (fog)(x)
(fog)(x) = f(g(x))
(fog)(x) = f(x+9)
(fog)(x) = 5(x+9) ∵ substitute x as x+9 in the f(x)
(fog)(x) = 5x+45
Finding (gof)(x)
(gof)(x) = g(f(x))
(gof)(x) = g(5x)
(gof)(x) = 5x+9 ∵ substitute x as 5x in the g(x)
Finding (fog)(3)
(fog)(3) = f(g(3))
substitute x = 3 in the g(x)=x+9
g(x) = x+9
g(3) = 3+9
g(3) = 12
so
(fog)(3) = f(g(3)) = f(12)
now substitute x = 12 in f(x) = 5x
f(x) = 5x
f(12) = 5(12)
f(12) = 60
Thus,
(fog)(3) = f(g(3)) = f(12) = 60
please help i dont want to fail
Answers
Answer: -2.2
Step-by-step explanation:
Answer:
-3/5 which is the third line between 0 and -1 if you're going back from 0.
Question : If lines BG and CF are parallel, then OLF = OMG. Is this statement correct? Explain your answer.
Answers
Answer:
Yes this statement is correct.
Step-by-step explanation:
just mental math
The statement given that ∠OLF = ∠OMG is found to be; Correct from theorem of corresponding angles.
We are told that;
BC is parallel to CF
Now, we are told that;
∠OLF = ∠OMG
We can see that line DH is a transverse line that crosses the two parallel lines given as BG and CF
Now, according to theorem of corresponding angles, the angle's that are formed when two parallel lines are crossed by a transverse line are said to be equal because they correspond to one another.
In conclusion, it is true from corresponding angles that ∠OLF and ∠OMG are equal.
Read more about corresponding angles at; https://brainly.com/question/12054594
Skies travel charges two-fifty for a plane ticket and $28 per day for rental car. For the same trip, r&r travels charges 305 for a plane ticket and 23 per day for car rental. What is the minimum number of days in martin's vacation should be or r&r travel to be a better deal for him?
Answers
Given :
Skies travel charges two-fifty for a plane ticket and $28 per day for rental car.
For the same trip, r&r travels charges 305 for a plane ticket and 23 per day for car rental.
To Find :
The minimum number of days in martin's vacation should be or r&r travel to be a better deal for him.
Solution :
Let, minimum number of days are x.
So, cost charged by Skies travel is, [tex]c_1 = 25+28x[/tex]
Cost charged by r&r travels is, [tex]c_2 = 305 + 23x[/tex]
r&r should be better deal when :
[tex]c_2 < c_1\\\\305 + 23x <25 + 28x\\\\5x >280\\\\x>56[/tex]
So, for better deal at r&r minimum number of vacation days is 57.
Hence, this is the required solution.
2) How old am I if 300 reduced by 4 times my age is 44?
Answers
Answer:
64
Step-by-step explanation:
300 -4x = 44
(300 - 44)/4= 64
check
64 x 4 =256
300 - 256 = 44
which is another way to write 42 + 63?
Answers
Answer:
B
Step-by-step explanation:
The sum of 42 + 63 is equal to 105.
B is the only answer that matches the sum of 42 and 63.
7 * 15 = 105
:3))
what is
-5x-y=21
y=4x+6
Answers
Answer:
(x,y)= (-3,-6)
Step-by-step explanation:
Answer:
Substitution substitution
Step-by-step explanation:
(-3,-6)
or
x= -3 y=-6
Solve x for me please I need it!!!
Answers
Answer:
The angle x° = 34°
Step-by-step explanation:
Given the right-angled triangle
right angle = 90° Given the angle = 56°We know that the sum of angles of a triangle = 180°
so
90° + 56° + x° = 180°
x° = 180°- 90° - 56°
x° = 34°
Therefore, the angle x° = 34°