Answers
[tex]3^2+y^2=8^2\\9+y^2=64\\y^2=55\\\\x^2+3^2=y^2\\x^2+9=55\\x^2=46\\x=\sqrt{46}=2\sqrt5\approx6,8[/tex]
Related Questions
Manuela has a piece of red ribbon 7 1/2 feet long. She cut the ribbon to have one piece 1 3/4 feet long.
How long is the piece of ribbon that is left?
Answers
Answer:
the leftover piece of ribbon is 5 3/4 feet long.
Step-by-step explanation:
if she has 7 1/2 feet of ribbon, and she removes (by cutting it off) 1 3/4 feet of ribbon.
So, if we set up this scenario like a math problem, we can write it as this:
7 1/2 feet of ribbon - 1 3/4 feet of ribbon = remaining ribbon
[ - = take away]
so, we are solving the equation:
7 1/2 - 1 3/4
To solve this, it is easiest to make the fractions have the same denominators
1 / 2 is equal to 2 / 4
However, 2/4 is less than 3/4, so we need to make this fraction a larger number.
To do this, we can take away 1 foot from the 7, and write it as if it were fourths
1 [foot] = 4/4 quarter foot
So, we can add 4/4 + 2/4 = 6/4
Now, we can re-write our situation.
6 6/4 - 1 3/4 = left over ribbon
6 6/4
- 1 3/4
__________
5 3/4
So, the leftover piece of ribbon is 5 3/4 feet long.
Hope this helps!
39°F = °C rounded to the nearest tenth of a degree
Answers
Answer:
3.9 degrees celsius
Step-by-step explanation:
(°F − 32) × 5/9 = °C
input 39
7 times 5/9 = c
35/9 = c
c = 3.9
Answer:
3.9 degrees Celsius.... it's 3.8888 when translated from Farenheit
please help i will give brainliest
Answers
Find the area with the radius of 27
Answers
Answer: The answer is 2289.06
Step-by-step explanation: I assume it’s a circle as it has a radius so simply multiply 3.14 by the radius 27^2
WILL GIVE BRILLIANT
Which of the following is not true of a trapezoid that has been reflected across the x-axis?
A
The x-coordinates of the new trapezoid are the same as the x-coordinates of the
original trapezoid.
B
The new trapezoid is the same size as the original trapezoid.
C
The new trapezoid is the same shape as the original trapezoid.
D
The new trapezoid is in the same orientation as the original trapezoid.
Answers
Answer:
D
Step-by-step:
The y-coordinates will change, not the x. Size and shape will also remain the same.
The sales tax for an item was $15 and it cost $500 before tax. Find the sales tax rate. Write your answer as a percentage.
Answers
evaluate that equation 3√1÷125
Answers
Answer:
0.2683281573
Step-by-step explanation:
To receive monthly payments of $1500 for 20 years, how much would a person have to invest now in an annuity with an annual interest rate of 3.1% to achieve this goal? Round the answer to the nearest dollar.
Answers
Given the possibility of an investment with an annual interest rate of 3.1 %, the person must deposit $ 580645.16 to receive monthly payments of $ 1500 for 20 years.
How to determine the require investment to receive a desired monthly payment
According to this question, the person have decided to invest money to receive a monthly payment, meaning no savings and the adequacy of using the simple interest formula:
g = C · (r/100) (1)
Where:
C - Invested money, in monetary units.r - Monthly interest rate, in percentage.g - Monthly payment, in monetary units.If we know that g = 1500 and r = 3.1/12, then the invested money must be:
C = 100 · g/r
C = 100 · [1500/(3.1/12)]
C = 580645.16
Given the possibility of an investment with an annual interest rate of 3.1 %, the person must deposit $ 580645.16 to receive monthly payments of $ 1500 for 20 years.
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Which single transformation will have the same effect on the figure?
A. reflection over the x-axis
B. rotation of 270° about the point (0, 0)
C. translation described by (x, y) → (x-6, y)
D. translation described by (x, y) → (x, y-6)
Answers
Answer:
D. translation described by (x, y) → (x, y-6)
Step-by-step explanation:
The triangle stays in the same orientation just in a diffrent spot on the graph, that spot being 6 units down from where it starts.
Explain how the modern double-slit experiment showed different results than Young’s double-slit experiment.
Answers
Modern:
Where there are two open slits, the resulting pattern will simply be the sum of the two single-slit patterns (two vertical lines). But again and again, the experiment demonstrated that the coherent beams of light were interfering, creating a pattern of bright and dark bands on the screen.
Young's
In the end, the double slit experiment discovered that electrons, and all quantum particles, both exist as particles and probability waves. Quantum particles existing as probability waves means that we don't know for certain where these particles are, we can only know the probability of where they will be.
Given the graph of f(x), determine the range of f−1(x).
R
(2, infinity)
(-infinity, 2) U (2, infinity)
(-infinity, 3) U (3, infinity)
Answers
The range of a graph of a function is (-∞, 3) U (3, ∞) option (D) (-∞, 3) U (3, ∞) is correct.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The graph of a hyperbola function is given.
As we know the graph of an inverse of a function is reflections over the line y=x.
We get the same graph as given in the picture.
The range of a graph of a function:
Range: (-∞, 3) U (3, ∞)
Thus, the range of a graph of a function is (-∞, 3) U (3, ∞) option (D) (-∞, 3) U (3, ∞) is correct.
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If 2,6 kg of potatoes cost R13,20, what will the cost of 3,3 kg be?
Answers
Answer:
[tex]\huge\boxed{\sf R. 16.75}[/tex]
Step-by-step explanation:
*Assuming commas are used for decimals.
Given that:2.6 kg potatoes = R 13.20
Using unitary methodDivide 2.6 to both sides
1 kg potatoes = R 13.20/2.6
1 kg potatoes = R 5.1
Multiply 3.3 to both sides
3.3 kg potatoes = R 5.1 × 3.3
3.3 kg potatoes = R 16.75
[tex]\rule[225]{225}{2}[/tex]
which table represents an exponential function of the form y=bx when 0
Answers
The table that represents an exponential function of the form y = [tex]b^{x}[/tex] when 0 < b < 1 is Table - 2. See the attached tables.
What is an exponential function?
A function is exponential when its value is a constant that is raised to the power of the argument. This is so especially when the function of the constant is e.
What is the solution?Recall that the exponential function y = [tex]b^{x}[/tex] given that 0 < b < 1. Notice that the table number 2 see to the exponential function that has the following form:
y(x) = (1/3)ˣ
substituting the values of x into the equation, we have:
y(-3) = (1/3) ⁻³ = 27
x = -2; thus
y(-2) = (1/3) ⁻³ = 9
x = -1; thus
y(-1) = (1/3) ⁻³ = 3
x = 0; thus
y(0) = (1/3) ⁻⁰ = 1
x = 1; thus
y(1) = (1/3) ¹ = 1/3
x = 2; thus
y(2) = (1/3) ⁻² = 1/9
x = 3; thus
y(3) = (1/3) ⁻³ = 1/27
Therefore, according to the obtained values, one can summarize that the table that depicts the exponential function y = bˣ is table 2.
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Given line PQ bisects line RS, LR=LS
Prove: Triangle PQR= Triangle PQS
Answers
Answer:
See Below
Step-by-step explanation:
Since PQ is perpendicular to RS, the angles PQR and PQS would be right angles, and right anglers are congruent, so <PQR ≅ <PQS. We are given that <R and <S are the same length, so they are congruent(<R ≅ <S). Since PQ is included in both triangles and it is the same length as itself(PQ ≅ PQ).
We have three congruent parts, two angles and one side. Therefore, using AAS, ΔPQR ≅ ΔPQS
Answer:
See below ~
Step-by-step explanation:
Given :
⇒ PQ ⊥ RS
⇒ ∠R = ∠S
===============================================================
Solving :
⇒ PQ = PQ (common side)
⇒ ∠R = ∠S (given)
⇒ ∠PQS = ∠PQR = 90° (⊥ bisector forms equal right angles)
⇒ ΔPQR ≅ ΔPQS (by ASA congruence)
You need to make party favors for a friend's birthday. 48 people were invited, but you'll only have to make favors for those who say they will attend. Some of the favors will be yellow and the rest will be xanadu. Make a graph using paper or technology that shows all of the possible combinations of yellow or xanadu party favors you might choose to make. Let a represent the xanadu favors and y represent the yellow favors. Your graph should be labeled with x-intercept, y-intercept, shaded region, linear boundary (solid or dashed). Also include an additional point with coordinates clearly labeled in the solution region that shows me how many of each favor you choose to make after all RSVP's are received
Answers
The update of the completed graph is given in the image attached as it shows the possible combinations of Yellow or Xanadu party favors that might choose will be ( 48, 0).
What is the graph about?For this graph, we shall make Xanadu party favors as X
and yellow favors as Y
Therefore note that: X + Y = 48
In the graph of X - Intercept
Y = 0, X = 48
In the graph of Y- intercept,
Y = 48 , X = 0
Therefore, the graphical representation of the combinations is given in the image attached.
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I just need help with question one, but if you want to you can answer question 2 as well. I’ll give 100 points!
Answers
Explanation:
Given f(x) : (2, -3)
Translation's:f(x) + 2 then graph translates up by 2 units up = [tex]\boxed{\sf (2, -1)}[/tex]
f(x) - 3 then graph translates down 3 units down = [tex]\boxed{\sf (2, -6)}[/tex]
f(x + 5) then graph translates left 5 units = [tex]\boxed{\sf (-3, -3)}[/tex]
-f(x) then graph reflects over x axis = [tex]\sf \boxed{\sf (2, 3)}[/tex]
f(-x) then graph reflects over y axis = [tex]\sf \boxed{\sf (-2,-3)}[/tex]
f(2x) then graph has horizontal compression = (2/2, -3) = [tex]\boxed{\sf (1, -3)}[/tex]
2f(x) then graph has vertical compression = (2, (-3)2) = [tex]\boxed{\sf (2, -6)}[/tex]
-f(x - 4) then graph reflects over x axis, moves 4 units to right = [tex]\sf \boxed{\sf (6, 3)}[/tex]
Solution 2Parent function: y = x²
Graph function: f(x) = (x + 8)² - 4
After Identification:
D. The graph has a translation of 8 units left and 4 units down.
Answer:
Translations
For [tex]a > 0[/tex]
[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]
[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]
[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]
[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]
[tex]y=a\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]
[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]
[tex]y=-f(x) \implies f(x) \: \textsf{reflected in the} \: x \textsf{-axis}[/tex]
[tex]y=f(-x) \implies f(x) \: \textsf{reflected in the} \: y \textsf{-axis}[/tex]
Question 1Given: [tex]f(x)=(2,-3)[/tex]
[tex]f(x)+2 \implies (x, y+2)= (2,-3+2)=(2,-1)[/tex]
[tex]f(x)-3 \implies (x,y-3)=(2,-3-3)=(2,-6)[/tex]
[tex]f(x+5)\implies (x-5,y)=(2-5,-3)=(-3,-3)[/tex]
[tex]-f(x) \implies (x,-y)=(2,-(-3))=(2,3)[/tex]
[tex]f(-x) \implies (-x,y)=(-(2),-3)=(-2,-3)[/tex]
[tex]f(2x) \implies \left(\dfrac{x}{2},y\right)=\left(\dfrac{2}{2},-3\right)=(1,-3)[/tex]
[tex]2f(x) \implies (x,2y)=(2,2 \cdot -3)=(2,-6)[/tex]
[tex]-f(x-4) \implies (x+4,-y)=(2+4,-(-3))=(6,3)[/tex]
[tex]\begin{array}{| c | c | c | c | c | c | c | c |}\cline{1-8} & & & & & & &\\f(x)+2 & f(x)-3 & f(x+5) & -f(x) & f(-x) & f(2x) & 2f(x) & -f(x-4)\\& & & & & & &\\\cline{1-8} & & & & & & &\\(2,-1) & (2,-6) & (-3,-3) & (2,3) & (-2,-3) & (1,-3) & (2,-6) & (6,3)\\& & & & & & &\\\cline{1-8} \end{array}[/tex]
Question 2Parent function: [tex]y=x^2[/tex]
Given function: [tex]f(x)=(x+8)^2-4[/tex]
[tex]f(x+8) \implies f(x) \: \textsf{translated}\:8\:\textsf{units left}[/tex]
[tex]f(x)-4 \implies f(x) \: \textsf{translated}\:4\:\textsf{units down}[/tex]
Therefore, a translation 8 units to the left and 4 units down.
30 POINTS ANSWER ASAP PLS
Complete the square to justify that Julia’s graph is correct.
6x2 + 12x + 6y2 – 48 ≤ 0
Answers
Answer:
1) x + 1
2) y - 0
3) 9
Step-by-step explanation:
Answer:
the first answer is (x+1) the second box (y-0) and the last box is 9
Step-by-step explanation:
Solve for x.
3x-3/4x+3
-
When angles form a linear pair, their sum is 180°.
8x 3 + 4x + 3 = 180
[?]+[] = 180
Hint: First we must combine like terms. Calculate the sum
of 8x and 4x and enter the value of the coefficient.
Enter
can anyone help me ? and show solving steps if possible
Answers
Answer:
Step-by-step explanation:
Remark
They are asking you to combine like terms. The total should be 180.
Givens
2 angles
8x - 3 4x + 3Total 180
Solution
8x - 3 + 4x + 3 = 180 The threes cancel. So add what's left. They are of opposite signs, so they cancel.
12x = 180 Divide both sides by 12
12x/12 = 180 /12
x = 15
In this question we are provided with the two angles that is 8x - 3 and 4x + 3 respectively. It is also given that the sum of this two angles is 180°.
To solve this question we will combine the like terms and there sum must be 180°.
[tex] \small\sf{ 8x - 3 + 4x + 3 = 180°} [/tex]
[tex] \bull \: \small\sf{ We \: will \: cancel \: 3 \: because \: they \: are \: of \: opposite \: signs }[/tex]
[tex] \small\rm 8x + 4x = 180 \degree[/tex]
[tex] \bull \: \small\sf{Addition} [/tex]
[tex] \small\rm{ 12x = 180 \degree}[/tex]
[tex] \bull \: \small\sf{ Divide\: both \: side \: by \: 12}[/tex]
[tex] \small\rm{ \dfrac{12x}{12} = \dfrac{180}{12} \: = 15 \degree}[/tex]
[tex] \small \underline{ \boxed{\sf{x = 15} }}[/tex]
[tex] \rule{71mm}{4pt}[/tex]
I need the answer please help!
Answers
A train leaves Little Rock, Arkansas, and travels north at 85 kilometers per hour. Another train leaves at the same time and travels south at 85 kilometers per hour.
How long will it take before they are 680 kilometers apart?
Answers
Answer:
4hours
Step-by-step explanation:
1hour =85+85
=170km/h
time= distance÷
speed=170km/h
680÷170=time
=4h
What is the answer?
I want the explanation step by step
Help me
Answers
Write the place value of the 1 in 742.513
Answers
Tenths
Hundredths
Thousandths
Ten Thousandths
And so forth.
In this one, the 1 falls into the hundredths place, since it is the second digit after the decimal point.
Hope this helps!
Hi Student!
Looking at the problem statement, we are asked to find the place value of the 1 in the number 742.513. Let's go from right to left and name each of the place values. 7 is in the hundreds place, 4 is in the tens place, 2 is in the ones place, 5 is in the tenths place, 1 is in the hundredths place, 3 is in the thousandths place.
Therefore, our final answer for which place value the number 1 in 742.513 is, we come to the conclusion of the hundredths place.
What is 20 divided by 1/2 inches
REPEATED SUBTRACTION TO DIVIDE
PLSSS TELL.
Answers
Answer:
40Step-by-step explanation:
What is 20 divided by 1/2 inches
20 : 1/2 =
20 * 2 =
40
4.
Solve the system of inequalities graphically. Label the solution set with an S.
Help asap
Answers
Answer:
Solution = (2,1)
Step-by-step explanation:
Make them equal each other and solve for x.
2x - 3 = 1
2x = 4
x = 2
2 * 2 - 3 = 1
Solution = (2,1)
Question 7(Multiple Choice Worth 1 points)
(01.03 MC)
What is the simplified expression for
4^4•4³
3
4^5
Answers
4² is simplified expression for [tex]\frac{4^{4} 4^{3} }{4^{5} }[/tex].
What is Indices?Index (indices) in Maths is the power or exponent which is raised to a number or a variable.
Here, Given expression = [tex]\frac{4^{4} 4^{3} }{4^{5} }[/tex]
[tex]\frac{4^{4} 4^{3} }{4^{5} }[/tex] = [tex]\frac{4^{4+3} }{4^{5} }[/tex]
= 4⁷/4⁵
= 4⁷⁻⁵
= 4²
Thus, 4² is simplified expression for [tex]\frac{4^{4} 4^{3} }{4^{5} }[/tex].
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When -3v = -18 is solved, the result is:
Answers
Answer:
When -3v = -18 is solved, the result is:
21v
The result of this mathematical sentence is v=6
First degree equationFirst degree equation is a mathematical sentence - having at least one unknown. Its representation is given by ax + b = 0. To calculate an equation, as it is in the expression in the statement, simply: isolate x and divide the second to the first member.
*Note: Equal signs, the result will be equated as positive.
-3v = -18
v = -18/-3
v = 6
Therefore, the correct value of this equation is v = 6.
The sum of the digits of a three-digit number is 12. The tens digit, t, is 2 more than the hundreds digit, h. The units digit, u, is equal to the sum of the tens and hundreds digits. What is the number?
Answers
Answer:
246
Step-by-step explanation:
h = 2
t = 4
u = 6
t - h = 4 - 2 = 2
u = h + t = 2 + 4 = 6
Given f(x)=3x2+5 and g(x)=x−2.
What is (fg)(x)?
Answers
PURRRRRR:
yeat or cartiiii
ANSWER:
The product of the functions is 3x³ - 6x² + 5x - 10
Composite functions
Given the following functions expressed as
f(x) = 3x² + 5
g(x) = x - 2
In order to determine the value of (fg)x, we will take the product of the functions as shown
f(x)g(x) = 3x²+5)(x-2)
Expand to have;
f(x)g(x) = 3x³ - 6x² + 5x - 10
Hence the product of the functions is 3x³ - 6x² + 5x - 10
Triangle QRS is reflected across the x-axis. Then it is reflected across the y-axis. Finally, it is
translated according to the rule (x + 7, y + 3). What are the final coordinates of point R'?
Answers
Answer: (4,-4)
Step-by-step explanation:
Reflection across the x axis means [tex](x,y) \longrightarrow (x,-y)[/tex], so [tex](3,7) \longrightarrow (3,-7)[/tex].
Reflection across the y axis means [tex](x,y) \longrightarrow (-x,y)[/tex], so [tex](3,-7) \longrightarrow (-3,-7)[/tex].
Then, [tex](-3,-7) \longrightarrow R'\boxed{(4,-4)}[/tex]
Mr Stephen saved 350 rupees per month how much money will he save in 3 years
Answers
Answer:
the answer to that question is 12,600 rupees