What is the final transformation in the composition of transformations that maps pre-image GHJK to image G'H"J"K"?
Answer:
You would need to add the picture in order to get an answer
CAN SOMEONE HELP ME OUT WITH THIS PLEASE AND THANK YOU.
Answer:
8 5/18
Step-by-step explanation:
3 5/6 + 4 4/9
Get a common denominator of 18
3 5/6*3/3 = 3 15/18
4 4/9 * 2/2 = 4 8/18
3 15/18 + 4 8/18
7 23/18
7 + 18/18 + 5/18
7+1+5/18
8 5/18
Answer:
[tex]8\frac{5}{18}[/tex]
Step-by-step explanation:
[tex]3\frac{5}{6} +4\frac{4}{9}[/tex]
6 = 2 × 3
9 = 3 × 3
LCM of 6 and 9
LCM = 2 × 3 × 3
LCM = 18
[tex]3\frac{15}{18} +4\frac{8}{18}[/tex]
[tex](3+4)+(\frac{15}{18} +\frac{8}{18})[/tex]
[tex]7+\frac{15+8}{18}[/tex]
[tex]7+\frac{23}{18}[/tex]
[tex]7+1\frac{5}{18}[/tex]
[tex]8\frac{5}{18}[/tex]
Based on given information for each of the following, which lines cannot be parallel?
b) Angle 69 degrees, angle 7=71 degrees
c) Angle 1=103 degrees, angle 4=105 degrees
PLSSS HELP THANKS!!
Answer:
Step-by-step explanation:
C
Answer:
c
Step-by-step explanation:
Hi can someone help me with these? 5 and 6 only though
Answer:
5) 2z - 15 = 9
2z.=9+15
2z =24
z =12
6) 4x-2 = 62°
4x=62°+2°
4x=64°
x=16
Step-by-step explanation:
5).2z-15=9 6).(4x-2°)=62°
2z=9+15 4x=62°+2°
2z=24 4x=64°
z=12 x=16
The function of g(x) is a transformation of the absolute values parent function which graphs shows g(x)
==============================================================
Explanation:
f(x) is shown in the blue dashed line, while g(x) is a solid black line.
When going from |x| to 3|x|, we are multiplying each y output value by 3. So a point like (4,4) on f(x) moves to (4,12) on g(x). A point like (-3,3) on f(x) moves to (-3,9) on g(x). And so on.
This will result in g(x) being taller and skinnier/narrower compared to f(x) as shown in graph B. We have vertical stretching going on here.
The vertex of each V shape is the same and that's at the origin (0,0).
No translations (horizontal or vertical shifting) are occurring.
The graph that shows the function g(x) = 3|x| is graph B.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
Given that, a function of g(x) is a transformation of the absolute values, we need to find the parent function of g(x)
Function g(x) = 3|x| is a vertical stretch of 3 units of function f(x) = |x|, that is, they keep the same vertex at (0,0), just graph g is stretched, passing at (1,3) instead of (1,1) for example.
Hence graph B is correct.
More can be learned about translation click;
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Type the correct answer in the box.
Consider the table below.
х у
-3 0.5
-2
1
-1 2.5
0
5
18.5
Complete the standard form equation representing the quadratic relationship displayed above, where a, b, and care constants.
Answer:
Step-by-step explanation:
Use the standard form equation along with 3 of the coordinates from the table. I used (-1, 2.5), (0, 5), and (1, 8.5). Begin always with the coordinate where you have a 0:
[tex]5=a(0)^2+b(0)+c[/tex] and we get immediately that c = 5. We can use that value as move forward with the next coordinate pair.
[tex]8.5=a(1)^2+b(1)+5[/tex] and
8.5 = a + b + 5 and
3.5 = a + b Hold that thought while we come up with the second equation for this system.
[tex]2.5=a(-1)^2+b(-1)+5[/tex] and
2.5 = a - b + 5 and
-2.5 = a - b Now solve this system using the method of eliination:
a + b = 3.5
+ a - b = -2.5
so
2a = 1 and a = 1/2 Now we can plug that in and solve for b:
a + b = 3.5 becomes
1/2 + b = 3.5 so
b = 3 and the equation is
[tex]y=\frac{1}{2}x^2+3x+5[/tex]
Determine the area of a regular pentagon that has a perimeter of 22 cm in the apothem of 3 cm
============================================================
Explanation:
Refer to the diagram below. I've split the regular pentagon into 5 equal slices (as if it was a pizza). Each triangle is congruent.
The base of each triangle is 22/5 = 4.4 cm
The height of each triangle is the apothem 3 cm. The apothem stretches from the center to the midpoint of any given side. It's the red dashed line in the diagram.
The area of one of the triangles is base*height/2 = 4.4*3/2 = 6.6 square cm.
Since we have 5 identical triangles with this area, we have a total area of 5*6.6 = 33 square cm
Answer:
165
Step-by-step explanation:
The formula for the area of the pentagon is 5/2 × s × a.
5/2×22×3
5/2 × 66/1= 66÷2
=33
33×5=165
Find the solutions to the equation below.
Check all that apply.
30x^2 - 28x + 6 = 0
A. X = 4/5
B. X = 1/3
c. X = 1/2
D. X = 1/5
E. X = 3/5
F. X = 2/3
The solution to the equation 30x² - 28x + 6 = 0 is x = 3/5 and x = 1/3 option (B) and (E) are correct.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
We have a quadratic equation:
30x² - 28x + 6 = 0
a = 30, b = -28, and c = 6
Plug the values in the formula:
[tex]\rm x = \dfrac{-(-28) \pm\sqrt{(-28)^2-4(30)(6)}}{2a}[/tex]
After solving:
x = 3/5 or x = 1/3
Thus, the solution to the equation 30x² - 28x + 6 = 0 is x = 3/5 and x = 1/3 option (B) and (E) are correct.
Learn more about quadratic equations here:
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Jessica is 8 years old. Kayla is 6 years younger than twice Jessica’s age. Which expression represents Kayla’s age?
A. (8*6)-2
B. ( 8*2) -6
C. 8*(6-2)
D. 8* (2-6)
Answer:
B
We find twice Jessica’s age and then subtract 6 since she is 6 years younger than that.
Answer:
B. (8*2) -6
Step-by-step explanation:
Since Jessica is 8, and Kayla is 6 years younger than twice (doubled) Jessica's age, this means that Kayla is 6 years younger than 16. Therefore the equation would be (8*2)-6.
Determine the type and number of solutions of −4x2 − 3x + 7 = 0.
two real solutions
two imaginary solutions
one real solution and one imaginary solution
one real solution
Answer:
Step-by-step explanation:
You have to use the discriminant for this. If the quadratic is [tex]-4x^2-3x+7[/tex], then
a = -4, b = -3, and c = 7. The formula for finding the discriminant is
[tex]D=b^2-4ac[/tex] which comes from the quadratic formula, but without the square root sign. Filling in:
[tex]D=(-3)^2-4(-4)(7)[/tex] which simplifies down to
D = 9 + 112 so
D = 121. This is a perfect square, so the solutions will be 2 real. Just so you know, you will NEVER have a solution like the one offered in the third choice down. If you have one imaginary root, you will ALWAYS have a second by the conjugate rule.
If f (x) = 2 x + 5 and three-halves are inverse functions of each other and f (x) = 2x + 5, what is
Answer:
See explanation
Step-by-step explanation:
The question has conflicting details
[tex]f(x) = 2x + 5[/tex]
[tex]f(x) = 2x + 5[/tex] and three halves doesn't sound correct.
So, I will take f(x) as
[tex]f(x) = 2x + 5[/tex]
Next, solve for the inverse function
Replace f(x) with y
[tex]y = 2x + 5[/tex]
Swap x and y
[tex]x = 2y + 5[/tex]
Make 2y the subject
[tex]2y = x-5[/tex]
Make y the subject
[tex]y = \frac{x-5}{2}[/tex]
Replace y with the inverse sign
[tex]f^{-1}(x) = \frac{x-5}{2}[/tex]
So, now we can calculate any value from the original function and from the inverse function.
For instance:
[tex]f^{-1}(7) = \frac{7-5}{2} = \frac{2}{2} = 1[/tex]
[tex]f(1) = 2*1 + 5 = 2+5=7[/tex]
Determine the relationship between the two triangles and whether or not they can be proven to be congruent.
Answer:
Side-Angle-Side is a rule used to prove whether a given set of triangles are congruent. The SAS rule states that: If two sides and the included angle of one triangle are equal to two sides and included angle of another triangle, then the triangles are congruent
Step-by-step explanation:
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peter collects antique marbles. he has these two boxes full of marbles
Answer:
3 marbles
Step-by-step explanation:
and they have died inside too
Prove the theorem which states that the angle subtended by a cord is twice at the centre than at the circumference
9514 1404 393
Explanation:
Given:
The attached figure showing circle O, chord BC, central angle BOC and inscribed angle BACangle BAC = α + βProve:
angle BOC = 2×angle BACProof:
∠BOA +∠BOC +∠AOC = 360° . . . . . sum of arcs of a circle is 360°
2α +∠BOA = 180°, 2β +∠AOC = 180° . . . . . sum of triangle angles is 180°
∠BOA = 180° -2α, ∠AOC = 180° -2β . . . . solve statement 2 for central angles
(180° -2α) +∠BOC +(180° -2β) = 360° . . . . . substitute into statement 1
∠BOC = 2(α +β) . . . . . add 2α+2β-360° to both sides
∠BOC = 2×∠BAC . . . . . substitute given for α+β; the desired conclusion
PLEASE HELP!!!!!
The double box plot below shows the number of daily visitors to two national parks.
Use medians to compare the centers of the data sets.
Which park has greater variability in the number of daily visitors? Show your work.
In general, which park has more daily visitors? Justify your response.
For which park, could you more accurately predict the number of daily visitors on any given day? Explain.
Answer:
Kindly check explanation
Step-by-step explanation:
From the boxplot attached :
Summer lake :
Median = 60 ( point in between the box)
Variability is given by the Range = maximum - minimum = 80 - 40 = 40
Maximum number of visitors = 80
Summer lake distribution is approximately normally distributed, so number of daily visitors can be more accurately predicted on any given day
Canyon Overlook:
Median = 80 ( point in between the box)
Variability is given by the Range = maximum - minimum = 120 - 30 = 90
Maximum number of visitors = 120
Hi can anyone help me out with this question ?
and if you could explain how to do pls
-
Find the value of the trig ratio to the nearest ten-thousandth
Sin 38°= ?
Answer:
a
using a calculator u can see the digits that follow.
Answer:
Option A is correct
Step-by-step explanation:
Sin 38° = 0.61566147 and 0.6157 is the value of the trig ratio to the nearest ten-thousandth.Option A is the value of the trig ratio to the nearest ten-thousandth .Hope it is helpful....how many whole numbers starting with 1 and ending with 1000 are perfect squares?
Answer:
There are 31 perfect squares between 1 and 1000
Hope it helps❤️
If the angles are represented in degrees,find both angles: csc(2x+9) =sec(3x+26)
Angle 1: Angle 2:
Please respond quick
Answer:
31°,59°
Step-by-step explanation:
csc (2x+9)=sec(3x+26)
1/sin(2x+9)=1/cos (3x+26)
sin (2x+9)=cos(3x+26)
cos (90-2x-9)=cos(3x+26)
90=3x+26+2x+9
5x+35=90
5x=90-35=55
x=55/5=11
2x+9=2×11+9=31°
3x+26=3×11+26=59°
7x+2y=39 in slope intercept form
Does 12, 24, 36 form a right triangle?
Answer:
no bc pythagorean
Step-by-step explanation:
What are the lengths of AD, DB, AE, and EC? Measure and record them.
is anyone good with Trigonometry word problems?
Answer:
maybe
Step-by-step explanation:
but what help do u want?
Kevin correctly answered 75% of 32 test questions.
Part A
How many questions did Kevin answer correctly?
Part B
How many more questions would Kevin have to answer correctly to get more than 80% correct?
Answer:
part a-24 questions
part b-2 or 3 more questions
Step-by-step explanation:
part a-to find the number, change the percent into a decimal (.75) and multiply (24)
part b-first find how many questions need to be right to get 80% (.80 times 32=25.6). then subtract by how many he would get with a 75% (25.6-24=about 2 to 3 more questions, rounded 2)
Use trigonometric identities to simplify [tex]sec^2(\pi /2-(x))[sin^2(x) -sin^4(x)][/tex]
Answer:
Step-by-step explanation:
I am using trig identities and the formula for the difference of the cos of 2 angles to solve this. I'll do the steps one at a time. It's super tricky. First I'm just going to work on simplifying the sec² part and then I'll introduce the sin²(x) - sin⁴(x) when I need it. Beginning with the identity for the difference of the cos of 2 angles, knowing that sec²(x) = [tex]\frac{1}{cos^2(x)}[/tex]:
[tex]sec^2(\frac{\pi}{2}-x)=\frac{1}{cos^2(\frac{\pi}{2}-x )}[/tex] and expand that using the formula for the difference:
[tex]\frac{1}{cos(\frac{\pi}{2}-x)cos(\frac{\pi}{2}-x) }=[/tex] [tex]\frac{1}{(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x))(cos\frac{\pi}{2}cos(x)+sin\frac{\pi}{2}sin(x)) }[/tex] and all of that simplifies down to
[tex]\frac{1}{(0cos(x)+1sin(x))(0cos(x)+1sin(x))}[/tex] which simplifies further to
[tex]\frac{1}{(sin(x))(sin(x))}=\frac{1}{sin^2(x)}[/tex] Now we'll bring in the other term. This is what we have now:
[tex]\frac{1}{sin^2(x)}(\frac{sin^2(x)-sin^4(x)}{1})[/tex] and distribute in to get:
[tex]\frac{sin^2(x)}{sin^2(x)}-\frac{sin^4(x)}{sin^2(x)}[/tex] which simplifies to
[tex]1-sin^2(x)[/tex] and that, finally, simplifies down to a simple
[tex]cos^2(x)[/tex]
How many types of triangles are there?
Answer:
there are 6 type of tryingle hope it helps
X, Y and Z are three points on a map. Y is 85km and on a bearing of 190° from X. Z is on a bearing of 140°, from Y. Z is due south of X. Calculate the distance between X and Z rounded to 1 DP
Answer:
The distance between X and Z is approximately 95.99 km
Step-by-step explanation:
Given, X, Y and Z are three points on a map. Y is 85km and on a bearing of 190° from X. Z is on a bearing of 140°, from Y. Z is due south of X.(For Diagram Please Find in Attachment)
Thus, The parameters areThe distance of Y from X = 85 km
The bearing of Y from X = 190°
The bearing of Z from Y = 140°
The bearing of Z from X = 180°
Now,
In triangle XYZ, we have∠YZX = 180° - (130° + 10°) = 40°
Therefore, Apply the sine rule here, we get
(85 km)/sin(40°) = XZ/(sin(130°))
XZ = sin(130°) × (85 km)/sin(30°) ≈ 95.99 km
The distance between X and Z ≈ 95.99 km
PLEASE HELP PLEASE PLEASE PLEASE
Answer:
45[tex]yd^{2}[/tex]
Step-by-step explanation:
splitting it into 2 rectangles, you have one of 15 x 2 and 5 x 3. multiplying base by width on both and adding the answers together gives you 45.
Answer:
45 yd2
Its a composite shape, so you'll have to "cut" it into basic shapes first.
I've cut it into two rectangles A and B... (see attachment)
Rectangle A on its own would have a l = 5 yd and w = 3 yd
Rectangle B will have l = 15 yd and w = 2yd
Total area = Area of A + Area of B
= (5 × 3) + (15 × 2)
= 15 + 30
=
[tex] {45yd}^{2} [/tex]
Consider the points P(0,5), Q(9, 2), R(7, -4), and S(-2, -1). What type of quadrilateral
do these points form? Justify your answer mathematically in the space below.
Answer:
a trapezium
Step-by-step explanation:
by plotting and joining the points you will see a quadilateral with four sides which has one pair of opposite sides parallel but not equal and that is a trapezium
Let f(x)=2(4)x+1−2. The graph of f(x) is translated 7 units to the left to form the graph of g(x).
Mrs.Tate is 5 feet 3 inches tall. Her daughter is 4 feet 8 inches tall. How much taller is Mrs.Tate than her daughter?
A) 5 inches
B) 7 inches
C) 1 foot 5 inches
D) 1 foot 7 inches
========================================================
Explanation:
1 foot = 12 inches
5 feet = 60 inches (multiply both sides by 5)
5 ft, 3 in = 63 inches (add 3 inches to both sides)
Through similar steps, you should find that 4 ft 8 in converts to 56 inches
The difference is 63-56 = 7 inches