[tex]\displaystyle\bf\\UX=\frac{VW}{2}\\\\\implies~2UX=VW\\\\ 2z=z+34\\2z-z=34\\z=34\\\\\implies~\boxed{\bf UX=34}[/tex]
Rectangle WXYZ was dilated using the rule Rectangle W X Y Z is dilated to form rectangle W prime X prime Y prime Z prime. The length of W X is 5 and the length of X Y is 4..
Answer:
Well, Your answer is 12 units.
Because, It was on edgunity
Good Luck with your homework!!~
Answer:
Hello There. The answer to this is The length of W'X' will be exactly given by, 12 unit. Explanation: The Rectangle WXYZ is dialated by a factor of 12/5 to form the rectangle W'X'Y'Z'. So, if the length of WX is 5 unit, the length of W'X' will be exactly given by, the lenght WX x Dialation factor. = (5 x 12/5) unit. = 12 unit
Hope It Helps! :) ♡
ItsNobody~
The graph is of a function in the form p(t) = a • b ^t What is the function?
Answer:
p(t) = 5 × [tex]2^{t}[/tex]
Step-by-step explanation:
Use the points on the curve to evaluate a and b
Using (0, 5 ), then
5 = a[tex]b^{0}[/tex] = a × 1 ( [tex]b^{0}[/tex] = 1 ), thus
a = 5
p(t) = 5[tex]b^{t}[/tex]
Using (1, 10 ), then
10 = 5[tex]b^{1}[/tex] = 5b ( divide both sides by 5 )
b = 2
Thus
p(t) = 5 [tex]2^{t}[/tex]
The exponential function is
[tex]p(t) = 5(2^{t})[/tex]
What is exponential function?
An exponential function is defined by the formula [tex]f(x) = ab^{x}[/tex] where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
Where,
b>0 and b is not equal to 1.
x is any real number.
If the variable is negative, the function is undefined for -1 < x < 1.
Here,
“x” is a variable
“b” is a constant, which is the base of the function.
and a is also constant.
According to the given question
We have an exponential function
[tex]p(t) = ab^{t} ...(i)[/tex]
And from the given graph, the two points (0, 5) and (1, 10). So these points must satisfy the exponential function (i)
Substitute t = 0 and p(t) = 5 in (i)
⇒[tex]5 = a[/tex] or a = 5 ( because, [tex]b^{0} = 1[/tex] )
Again, substitute a = 5, t = 1 and p(t) = 10 in exponential function [tex]p(t) = ab^{t}[/tex]
⇒ 10 = 5[tex]b^{1}[/tex]
⇒ b = 2
Therefore, the exponential function p(t) is given by
[tex]p(t) = 5(2^{t})[/tex]
Learn more about exponential function here:
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In a championship basketball game, Paula Zimmerman scored twice as many points as Maria Kaminsky. If the total number of points made by both women was 51, find how many points Paula scored.
Answer:
x=34
y=17
Step-by-step explanation:
Let Paula's score be= x
Let Maria's score be=y
Given:
x=2y
x+y=51
Substitution:
2y+y=51
Formula:
2y+y=51
3y=51
y=17
x=2y
x=2(17)
x=34
Proof:
x+y=51
34+17=51
51=51
Hope this helps ;) ❤❤❤
HELPPP WITH THIS PLEASEEEEEE
Answer:
Width=8
Length=11
It's an 8m x11m rectangle.
Step-by-step explanation:
2L+2W= 38
2(w+3)+2w=38
2W+6+2w=38
4W=32
W=8
L=W+3=8+3=11
CHECK: 8+8+11+11=38
find the value of x A. does not exist B. -7 C. 26 D. 35
Answer:
A-does not exist
Step-by-step explanation:
The pythagorian theorem :
12²+x²= (x-2)²144+x²= x²-4x+4144-4+x²-x²= -4x 140 = -4x x = 140/-4x= -35That's absurd . A side cannot be negative since it's a distance
It was obvious from the beginning since one of the sides is greater than the hypotenus wich is impossible x≥x-2
Answer:
A. does not exist
Step-by-step explanation:
Since this is a right triangle we can find the value of x using Phytagorian Theorem
(x-2)^2 = 12^2 + x^2
x^2 -4x + 4 = 144 + x^2 (x^2 will be eliminated)
-4x = 144
x = -36 since the side lengths cannot be negative we select the option A which says it doesn't exist.
please I need answers
Answer:
9, 11, 1, 0, 11
There's a patern
Answer:
Ans: 9,11,1,0,11. Do u need the workings
which of the following rational functions is graphed below?
Answer:
D
Step-by-step explanation:
1/x+1
Assume that all triangles have interior angles less than 90°.A surveyor sights on a survey marker that is 132.3m distant. She needed to turn her transit (her survey instrument) 75° to sight on a second survey marker. She knows that from the second marker, the angle between the line of site from her own position and the first marker is 68°. How far is she from the second marker?
Answer:
85.9 m
Step-by-step explanation:
The law of sines can help figure this.
The remaining angle in the triangle is ...
180° -75° -68° = 37°
This is the angle opposite the leg from the surveyor to the second marker. Referencing the attachment, we have ...
b/sin(B) = c/sin(C)
b = sin(B)·c/sin(C) = 132.3·sin(37°)/sin(68°) ≈ 85.873 . . . meters
The surveyor is about 85.9 meters from the second marker.
-8÷2+12x9-4x6
56 + 7x2
[tex]\huge\textbf{Hey there!}[/tex]
[tex]\huge\textsf{Question \#1.}[/tex]
[tex]\mathbf{-8\div2 + 12 \times9 - 4\times6}\\\mathbf{= -4 + 12\times9 - 4\times6}\\\mathbf{= -4 + 108 - 4\times6}\\\mathbf{= 104 - 4\times6}\\\mathbf{= 104 - 24}\\\mathbf{= 80}[/tex]
[tex]\huge\textsf{Therefore, your answer is: \boxed{\mathsf{80}}}\huge\checkmark[/tex]
[tex]\huge\textsf{Question \#2.}[/tex]
[tex]\mathbf{56 + 7\times2}\\\mathbf{= 56 + 14}\\\mathbf{= 70}[/tex]
[tex]\huge\text{Therefore, your answer is: \boxed{\mathsf{70}}}\huge\checkmark[/tex]
[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]evaluate √ 9.6230 * 2.340 / 5.3 10 * 3.721
Answer:
[tex]\sqrt{15.76}[/tex]
Step-by-step explanation:
[tex]\sqrt{9.6230 \frac{2.340}{5.310}3.721 }[/tex]
Lets solve the fraction first
[tex]\frac{2.340}{5.310} =0.44[/tex]
9.6230 x 0.44 = 4.23
4.23 x 3.721 = 15.76
[tex]\sqrt{15.76}[/tex]
cuanto es 45 dividido en 4
Answer:
11.25
Step-by-step explanation:
45 ÷ 4 = 11.25
Answer:11.25
Step-by-step explanation:
4 can fit into 44 11.25
Which summation formula represents the series below?
5+ 7+ 9+ 11
Answer:
second one
Step-by-step explanation:
it is the second one , it has three expression starts with 5
when n=0 :2n+5=2(0)+5=5
n=1 : 2n+5=7
n=2: 2n+5=4+5=9
n=3: 2n+5=11
Answer: B
Step-by-step explanation:
Find the coordinates of the points of intersection o the parabola y= x^2 and y= x+3
Answer:
Easiest and fastest way to do this is to input both equations into a graphing calc and tracing to where the 2 graphs intersect.
Alternatively, you can use substitution to solve for your answer.
Step-by-step explanation:
What is the domain of y = sec(x)?
Answer:
Step-by-step explanation:
answer is c
Answer:
The answer is B, the second one on your screen. I hope I wasn't too late! :)
HELPPPPP NOWWWWWWWWWWWWW PLEASE
Answer:
B. SAS
Step-by-step explanation:
the line that joins the 2 triangles is considered a side, if you put an angle in between 2 sides its SAS.
What is the value of the rational expression when x=-2?
-7
-9
9
7
Answer:
9
Step-by-step explanation:
take the x and drop it down after that the - needs to become the postive with takes multiple and so then after tyat it needs to add the extra 1 bc if the 1
A group of students plotted the number of hours they worked weekly during the holidays and the number of hours they spent cycling. Graph shows 0 to 60 on x and y axes at increments of 10. The label on the x axis is Weekly Hours Worked, and the label on the y axis is Weekly Hours Cycling. Dots are made at the ordered pairs 10, 45 and 13, 35 and 16, 42 and 24, 32 and 26, 43 and 32, 29 and 37, 23 and 39, 27 and 42, 19 and 45, 21 and 49, 19 and 50, 12. Which statement best describes the relationship between the number of hours spent working and the number of hours spent cycling? Greater hours worked, fewer hours spent cycling. Fewer hours worked, fewer hours spent cycling. Greater hours worked, greater hours spent cycling. There is no relationship between hours spent working and hours spent cycling.
Answer:
Greater hours worked, fewer hours spent cycling.
Step-by-step explanation:
Answer:
Greater hours worked, fewer hours spent cycling.
Step-by-step explanation:
:)
What is the factored form of n2 – 25?
Answer: (n + 5)(n - 5)
Explanation: In this problem, we have a binomial that's the difference of two squares because n² and 25 are both perfect squares and we are subtracting or taking the difference of these two squares.
Since the difference of two squares factors as the product of two binomials, we can setup our parenthses and in the first position, we use the factors of n² that are the same which are n · n.
In the second position, we use +5 and -5 as our factors of -25.
So our answer is (n + 5)(n - 5).
F(x)=1/3x+2????????????
Which of the following is the graph of a linear function?
Answer:
The first one.
Step-by-step explanation:
A linear function is a straight line, regardless of direction.
The first graph is of a linear function.
The phrase linear function denotes to function which is linear, specifically of this form:
[tex]f(x) = mx + c[/tex]
This is also written as:
[tex]y = mx + c[/tex]
It is written so that we can take the outputs of the function f(x) in a separate variable for further mathematical treatments with ease.
Now when that second equation is plotted on XY plane, you get a straight line graph since this is the equation form of any straight line, in geometry.
All the straight lines are covered under y = mx + c linear function form.
Since the first graph contains a plot of straight line, thus the first graph is of linear function.
The second graph is of downwardly opened vertical parabola which is of degree 2, thus not linear.
Thus first graph is the graph of a linear function.
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Question 10(Multiple Choice Worth 1 points)
(02.05 MC)
Graph g(x), where f(x) = 2X - 5 and g(x) = f(x + 1).
(g(x)
0
g(x)
0
0
Answer:
Please refer to the attached image for the graph of g(x).
Step-by-step explanation:
First of all, let us find the value of g(x).
Given that:
[tex]f(x) =2x-5[/tex] and
[tex]g(x) = f(x+1)[/tex]
To find: The graph of g(x) = ?
Solution:
[tex]f(x+1)[/tex] means we replace 'x' with 'x+1' and we get g(x).
Let us replace x with x+1 in f(x):
[tex]f(x+1) = 2(x+1)-5\\\Rightarrow f(x+1) = 2x+2-5\\\Rightarrow f(x+1) = 2x-3\\\therefore g(x) = 2x-3[/tex]
Now let [tex]y=g(x) =2x-3[/tex]
Let us put x = 0 and then y = 0 to find two points on coordinate axis to easily plot the graph of g(x).
Putting x = 0,
[tex]y=2\times0-3\\\Rightarrow y =-3[/tex]
So, one point is A(0,-3)
Now, let us put y = 0 and find out x.
[tex]0=2x-3\\\Rightarrow x=\dfrac{3}{2}[/tex]
So, second point is [tex]B(\frac{3}{2},0)[/tex].
Now, let us plot A and B then extend the line joining AB.
Please refer to the attached image for the graph of function:
g(x) = 2x - 3
Triangle D E F is shown. The length of E F is 10, the length of D F is 7, and the length of D E is 12. What information relevant to calculating area do we have available for this triangle? Which method should we use to calculate the area for this triangle? What is the area of this triangle calculated to the nearest hundredth of a square unit?
Answer:
34.98 square units.
Step-by-step explanation:
It is given that DEF is a triangle, EF=10, DF=7 and DE=12.
Information of sides of triangle is relevant to calculating area.
We should use Heron's formula.
According to Heron's formula, the area of triangle is
[tex]A=\sqrt{s(s-a)(s-b)(s-c)}[/tex]
where,
[tex]s=\dfrac{a+b+c}{2}[/tex]
For triangle DEF, let a=10, b=7 and c=12.
Now,
[tex]s=\dfrac{10+7+12}{2}=\dfrac{29}{2}=14.5[/tex]
Area of triangle is
[tex]A=\sqrt{14.5(14.5-10)(14.5-7)(14.5-12)}[/tex]
[tex]A=\sqrt{14.5(4.5)(7.5)(2.5)}[/tex]
[tex]A=\sqrt{1223.4375}[/tex]
[tex]A=34.977671[/tex]
[tex]A\approx 34.98[/tex]
Therefore, the area of triangle DEF is 34.98 square units.
Answer:
SSS, Heron's formula, and 34.98 square units
Step-by-step explanation:
The mean age of 8 women in an office is 20 years old. The mean age of 12 men in an office is 32 years old. What is the mean age (nearest year) of all the people in the office? Answer it please because it would be helpfull alot
Answer:
27.2
Step-by-step explanation:
The mean age of 8 women in the office is 20 years old
The mean age of 12 men in an office is 32 years old
The first step is to calculate the mean of the both the men and women in the office, that way we will be able to know the sum.
The mean of the women can be calculated by taking the sum of the value and dividing by the number
= 20+20+20+20+20+20+20+20/8
= 160/8
= 20
The mean of the men can be calculated by taking the sum of the values and dividing by the number
=32+32+32+32+32+32+32+32+32+32+32+32/12
= 384/12
= 32
Therefore, to find the mean age of people in the office we add the sum of both the men and women and divide by the total number of people in the office
= 384+160/20
= 544/20
= 27.2
Hence the mean age of people in the office is 27.2
14. A wheel turns through 90 revolutions per minute.
How many degrees does it turn through in 1 second?
1 revolution = 360 degrees
360 degrees x 90 revolutions per minute = 32,400 degrees per minute.
1 minute = 60 seconds.
32,400 degrees per minute / 60 seconds = 540 degrees per second.
Which best describes the dimensions of a line?
1)make x the subject of h=4(x+3y)+2 2) make a the subject of a^2+b^2=c^2
Answer:
[tex]\frac{h-12-2}{4} = x[/tex] & a² = c² - b²
Step-by-step explanation:
h = 4 (x + 3y) + 2
Expand brackets
h = 4x + 12y + 2
Subtract 12y & 2 from both sides
h - 12y - 2 = 4x
Divide both sides by 4
[tex]\frac{h-12-2}{4} = x[/tex]
a² = c² - b²
Then √ both sides to lose the ²
Gabriel note sur une frise chronologique les événements familiaux importants. Il utilise des entiers positifs ou négatifs. Pour écrire une date avant sa naissance, il utilise des nombres négatifs et pour une date après sa naissance, des nombres positifs. Par exemple, la mère de Gabriel a reçu une médaille en l'an -20−20minus, 20 et la sœur de Gabriel est née en l'an +5+5plus, 5. Que représente l'année 0~?0 ?0, space, question mark Réponse : Réponse : L'année où la sœur de Gabriel est née L'année de la naissance de Gabriel L'année où la mère de Gabriel a reçu une médaille
Answer:
L'option B est correcte. Le chiffre 0 représente l'année de naissance de Gabriel.
Option B is correct.
The number 0 represents the year when Gabriel was born.
Step-by-step explanation:
Il a été déclaré dans la question que Gabriel a enregistré des événements tge dans leur vie par rapport à quand il est entré en scène. Avec des exemples notables donnés pour illustrer que les nombres négatifs indiquent les temps avant la naissance de Gabriel et les nombres positifs indiquent les années après la naissance de Gabriel.
Par conséquent, il est simple de voir que l'année 0 en termes relatifs à la naissance de Gabriel représentera l'année de naissance de Gabriel.
J'espère que cela t'aides!!!
English Translation
Gabriel notes on a timeline important family events. It uses positive or negative integers. To write a date before his birth, he uses negative numbers and for a date after his birth, positive numbers. For example, Gabriel's mother received a medal in the year -20 and Gabriel's sister was born in the year + 5. What does the year 0 represent? Answer:
A) The year when Gabriel's sister was born
B) The year when Gabriel was born
C) The year when Gabriel's mother received a medal
Solution
It was stated in the question that Gabriel recorded tge events in their lives relative to when he came into the picture. With noticeable examples given to illustrate that the negative numbers indicate times before Gabriel's birth and positive numbers indicate years after Gabriel's birth.
Hence, it is straighforward to see that the year 0 in relative terms to Gabriel's birth will represent the year in which Gabriel was born.
Hope this Helps!!!
The first two steps in determining the solution set of the system of equations, y = x2 - 6x + 12 and y = 2x - 4
algebraically are shown in the table.
Step
Step 1
Step 2
Equation
x2 - 6x + 12 = 2x4
x2–8x+16=0
Which represents the solution(s) of this system of equations?
O (4,4)
O 64,-12)
0 (4, 4) and (44, 12)
O (-4, 4) and (4, 12)
Save and Exit
Neart
Submit
Mark this and return
Answer:
(4, 4 )
Step-by-step explanation:
Given the 2 equations
y = x² - 6x + 12 → (1)
y = 2x - 4 → (2)
Substitute y = x² - 6x + 12 into (2)
x² - 6x + 12 = 2x - 4 ( subtract 2x - 4 from both sides )
x² - 8x + 16 = 0 ← in standard form
(x - 4)² = 0 ← in factored form
x - 4 = 0 ⇒ x = 4
Substitute x = 4 into (2) for corresponding value of y
y = 2(4) - 4 = 8 - 4 = 4
Solution is (4, 4 )
Which is the solution to the system of equations? y=1/3x+2 y=4/3x-5
Answer:
x = 7 . y = 13/3
Step-by-step explanation:
Solve the following system:
{y = x/3 + 2
y = (4 x)/3 - 5
Express the system in standard form:
{-x/3 + y = 2
-(4 x)/3 + y = -5
Express the system in matrix form:
(-1/3 | 1
-4/3 | 1)(x
y) = (2
-5)
Write the system in augmented matrix form and use Gaussian elimination:
(-1/3 | 1 | 2
-4/3 | 1 | -5)
Swap row 1 with row 2:
(-4/3 | 1 | -5
-1/3 | 1 | 2)
Subtract 1/4 × (row 1) from row 2:
(-4/3 | 1 | -5
0 | 3/4 | 13/4)
Multiply row 1 by 3:
(-4 | 3 | -15
0 | 3/4 | 13/4)
Multiply row 2 by 4:
(-4 | 3 | -15
0 | 3 | 13)
Divide row 2 by 3:
(-4 | 3 | -15
0 | 1 | 13/3)
Subtract 3 × (row 2) from row 1:
(-4 | 0 | -28
0 | 1 | 13/3)
Divide row 1 by -4:
(1 | 0 | 7
0 | 1 | 13/3)
Collect results:
Answer: {x = 7 . y = 13/3
PLEASEEE HELP ASAP! *grade 9 work* and show your work!!
Answer:
at 0 the amount is 5
1 is 7.5
2 is 10
3 is 12.5
the initial value is the y intercept when the value ox x=0
the initial value is 5
the rate of change is the total change of a function of the out put (y) divided by the change of the input (x)
f(x2)-f(x1)/x2-x1
10-7.5/2-1
2.5/1=2.5
or m=y2-y1/x2/x1=10-7.5/2-1=2.5
y=2.5x+5