g(x)=x^2-1
f(g(X))=5 sqrt(x^2-1+1)-2
5 sqrt(x^2)-2
:sqrt cancel the square
5x-2
If Isometry preserves distance and angle measurement ,which of the following are examples of Isometry?
A)Reflection
B)Translation
C)Both reflection and translation
D)None of the above
Answer:
C) Both reflection and translation
Step-by-step explanation:
An isometry of the plane is a linear transformation which preserves length. Isometrics includes rotation, translation , reflection ,glides and the identity map.
A geometry transformation is either rigid or non-rigid
The another name for a rigid transformation is 'isometry'.
The dilation is not isometry
Find the values of x and y.
(40y + 20°
8xº (2x + 30°)
(60y – 40)
9514 1404 393
Answer:
x = 5y = 3Step-by-step explanation:
Vertical angles are congruent.
8x = 2x +30
6x = 30 . . . . . . subtract 2x
x = 5 . . . . . . . . divide by 6
__
60y -40 = 40y +20
20y = 60 . . . . add 40-40y
y = 3 . . . . . . . .divide by 20
_____
Check
The 'x' angles are 8x° = 8·5° = 40°.
The 'y' angles are (40y+20)° = (40·3+20)° = 140°.
The angles are supplementary, as they are supposed to be.
A veterinarian treated 7 dogs this morning. The list below gives the weights (in pounds) of each dog. , 6, 46, 21, 9, 21, 5143 Find the range of the data set.
Answer:
5137
Step-by-step explanation:
in 2005 a company spent 493,749,335 on advertising. round the advertising figure to the nearest hundred thousand.
Answer: 493,700,000
Step-by-step explanation:
(Angle relationships) Solve this question
Answer:
69
Step-by-step explanation:
Now given a rope hanging from the top of a pole. The end lying on the ground is 3 chi long. When tightly stretchedit is 8 chi from the bottom of the pole. Let x represent the height of the pole. Tell: how long is the rope and how high is the pole
Answer:
Height of the pole = 9.17 chi.
Length of the rope = 12.17 chi.
Step-by-step explanation:
Given that the rope is hanging from the top of a pole having height x chi and the portion of the rope lying on the ground is 3 chi.
So, the length of the rope= x + 3 chi.
Let AB represents the pole in the figure, and one end of the rope is at point A.
When the rope is tightly stretched, let C be the other end of the rope as shown in the triangle.
The length of the rope = AC.
\Rightarrow AC=x+3 chi.
Distance from the bottom of the pole, point A, to the other end of the pole, point B, is 8 chi.
So, BC=8 chi.
As the triangle ABC is a right-angled triangle, so by using Pythagoras theorem,
[tex]AC^2= AB^2+BC^2[/tex]
[tex]\Rightarrow (x+3)^2=x^2+8^2[/tex]
[tex]\Rightarrow x^2+6x+9=x^2+64[/tex]
[tex]\Rightarrow 6x=64-9=55[/tex]
[tex]\Rightarrow x=55/6=9.17[/tex] chi.
Hence, the height of the pole, [tex]AB=x=9.17[/tex] chi,
and the length of the rope, [tex]x+3=9.17+3=12.17[/tex] chi.
round 803 to the nearest ten. Enter your answer in the box below.
Answer:
800
Step-by-step explanation:
Answer:
Hey buddy, here is your answer. Hope it helps you
Step-by-step explanation:
It will round off to 800 as it is below 5. Above 5 it will round off to 810.
What is the difference between the maximum and minimum of the quantity x2y287, where x and y are two nonnegative numbers such that x+y=6?
Answer:
27/29
Step-by-step explanation:
Terdapat tiga bikar iaitu A, B dan C. Isipadu air didalam bikar C adalah dua
kali ganda isipadu air dalam bikar B. Selepas itu,
[tex] \frac{1}{4} [/tex]
daripada isipadu di dalam
bikar A dituang kedalam bikar B dan baki dituang kedalam bikar C. Isipadu
didalam bikar B dan C seterusnya masing-masing menjadi 400ml dan
1000ml. Apakah isipadu bikar A, B dan C sebelum air di dalam bikar A
dituang ke dalam bikar B dan C.
enter decimal numbers in the boxes to complete the order pair that locates point Q on the coordinate plane
Answer:
(1.5,-1.5)
Step-by-step explanation:
Hope this helps you
Multiply and simplify. (12 2/3)(3 1/4)
A) 36 1/12
B) 36 1/6
C) 41 1/12
D) 41 1/6
Answer:
41 1/6 is the answer lets do it step by step
Step-by-step explanation:
You are usually taught to multiply the improper fractions and simplify the result.
.. (38/3)*(13/4) = (38/4)*(13/3)
.. = (19/2)*(13/3)
.. = (19*13)/6
.. = 247/6
.. = 41 1/6
You can also multiply the parts.
.. (12 2/3)*(3 1/4) = 12*3 + 12*(1/4) +(2/3)*3 +(2/3)*(1/4)
.. = 36 +3 +2 +1/6
.. = 41 1/6
hope this helps:D
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Equation:}[/tex]
[tex]\mathsf{12 \dfrac{2}{3}\times 3\dfrac{1}{4}}[/tex]
[tex]\huge\textbf{Simplifying:}[/tex]
[tex]\mathsf{12 \dfrac{2}{3}\times 3\dfrac{1}{4}}[/tex]
[tex]\mathsf{= \dfrac{12\times3+2}{3}\times \dfrac{3\times4+1}{4}}[/tex]
[tex]\mathsf{= \dfrac{36 + 2}{3} \times \dfrac{12 + 1}{4}}[/tex]
[tex]\mathsf{= \dfrac{38}{3}\times\dfrac{13}{4}}[/tex]
[tex]\mathsf{= \dfrac{38\times13}{3\times4}}[/tex]
[tex]\mathsf{= \dfrac{494}{12}}[/tex]
[tex]\mathsf{= \dfrac{494\div2}{12\div2}}[/tex]
[tex]\mathsf{= \dfrac{247}{6}}[/tex]
[tex]\mathsf{\approx 41 \dfrac{1}{6}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\boxed{\mathsf{Option\ D.)\ 41 \dfrac{1}{6}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
f(x) = -7x + 1, find f(-2) x
f=-2
Okay, so basically just plug -2 in for x in the equation and solve.
-7(-2) + 1
Multiply first
14 + 1
Now add
15
Divide using any method. .
-3.23 + 4x2 + 2x – 5)
2
Answer:
Step-by-step explanation:
-3x^2 --2x--2 -- 9/x--2
You finance a $500 car repair completely on credit, you will just pay the minimum payment each month for the next three months. The APR is 18.99% and the minimum payment each month is 4% of the balance. Determine the finance charge, carry-over balance, and minimum payment required for each of the next two months, and the starting balance for month 2 in the table below.
Answer:
Determination of the Finance Charge, Carry-over balance, Minimum Payment for each of the next two months:
Finance Charge:
First month = $7.91
Second month = $7.72
Carry-over balance:
First month = $487.59
Second month = $475.50
Minimum Payment:
First month = $20.32
Second month = $19.81
Starting balance (Carry-over balance + Finance charge):
First month = $507.91
Second month = $495.31
Step-by-step explanation:
a) Data and Calculations:
Credit Finance = $500
APR = 18.99%
Minimum monthly payment = 4% of the balance
Monthly rate of interest = 0.1899/12 = 0.015825
Finance Charge:
First month = $7.91 ($500 * 0.015825)
Second month = $7.72 ($487.59 * 0.015825)
Carry-over balance:
First month = $487.59($507.91 - $20.32)
Second month = $475.50 ($495.31 - $19.81)
Minimum Payment:
First month = $20.32 ($507.91 * 4%)
Second month = $19.81 ($495.31 * 4%)
Starting balance (Carry-over balance + Finance charge):
First month = $507.91 ($500 + $7.91)
Second month = $495.31 ($487.59 + $7.72)
HELP ME PLEASE ASAP PLZ
Triangles ABC and DEC
are shown
D
Given A B in parallel to DE, which statement about ABC and DEC is true?
Answer:
c
Step-by-step explanation:
plz Brainliest i need it
what is 0.65 0.59 3/5 from least to greatest
Answer:
0.59, 3/5 0.65
Step-by-step explanation:
3/5 = 0.60
Answer: 0.59, 3/5 (0.60), 0.65
Step-by-step explanation: If you would convert 3/5 into a decimal it would be 0.6, you'd divide 3 by 5. Hope this helps!
not sure need help
Answer:
I got x= 21
Step-by-step explanation:
find the sum of the interior angle measures of the polygon
Work Shown:
We have 9 sides of this polygon. See the diagram below. So n = 9
Plug that into the formula below to find the sum of the interior angles
S = 180(n-2)
S = 180(9-2)
S = 180*7
S = 1260
what is 41.0 cm ............m , 1.19 m .................cm
Answer:
41.0cm = 0.41m
1.19m = 119cm
Step-by-step explanation:
What is the coefficient of 9x^5?
Answer:
9
Step-by-step explanation:
A coefficient is a number in front of a variable.
Answer:
9
Step-by-step explanation:
Sarah, Dan & Gavyn share some
money in the ratio 5:1:4
In total, Sarah and Gavyn receive
£45.
How much does Dan get
Answer:
$11.25
Step-by-step explanation:
45/4=11.25
Use benchmark values to estimate 7/10 + 7/8.
Answer:
1.575
Step-by-step explanation:
Nancy is checking to determine if the expressions x + 4 + x and 6 + 2 x minus 2 are equivalent. When x = 3, she correctly finds that both expressions have a value of 10. When x = 5, she correctly evaluates the first expression to find that x + 4 + x =14. What is the value of the second expression when x = 5, and are the two expressions equivalent? The value of the second expression is 8, so the expressions are not equivalent. The value of the second expression is 14, so the expressions are equivalent. The value of the second expression is 16, so the expressions are equivalent. The value of the second expression is 18, so the expressions are not equivalent.
Answer:
The value of the 2nd expression is 14, so the expressions are equivalent.
Step-by-step explanation:
6 + 2x - 2
6 + 2(5) - 2
6 + (10) - 2
16 - 2
14
Answer:
I believe is The value of the second expression is 14, so the expressions are equivalent.
Step-by-step explanation:
I took the test and got it right.
I need help with math
{ months of the year with 4 letters}
Answer:
June, July
Step-by-step explanation:
Please give me brainliest
A payday loan store charges $45 for a one-month loan of $180. What annual interest rate is this equivalent
to?
%
Round your answer to one decimal place if necessary.
Submit Question
Answer:
(1+r/12)=1.075
r/12=0.075
r=0.9 or 90%
Step-by-step explanation:
for the third week of June, Kevin Walker worked 42.75 hours. Kevin earns $12.60 an hour. his employer pays overtime for all hours
3/4 (x-12) = 12
solve for x
Answer:
28
Step-by-step explanation:
I got this question on a test and got it right
HAVE A GREAT DAY!
Order these numbers least to greatest 5/3,1,12/6
Answer:
1,5/3,3 that the answers
Which algebraic expression is equivalent to the expression below? 4/5x - 7/5y
A. 1/5(4x - 7y)
B. 5(7x - 7y)
C. 5(4x - 7y)
D. 1/5(7x + 4y)
