The vertices of the image are R'(x, y) = (- 1, - 7), S'(x, y) = (4, - 7), T'(x, y) = (4, - 5) and V'(x, y) = (- 1, - 3).
What are the coordinates of the vertices of the image by using a reflection formula?
In this question we know the locations of the four vertices of the trapezoid RSTV and we need to determine the coordinates of its image by using a reflection formula about an axis parallel to the y-axis, whose formula is described below:
P'(x, y) = P(x, y) - 2 · [P(x, y) - (p, k)]
Where:
p - x-Coordinate of the original point.k - y-Coordinate of the reflection axis.P(x, y) - Original pointP'(x, y) - Resulting pointNow we proceed to find the coordinates of the images:
R'(x, y) = (- 1, 1) - 2 · [(- 1, 1) - (- 1, - 3)]
R'(x, y) = (- 1, 1) - 2 · (0, 4)
R'(x, y) = (- 1, 1) + (0, - 8)
R'(x, y) = (- 1, - 7)
S'(x, y) = (4, 1) - 2 · [(4, 1) - (4, - 3)]
S'(x, y) = (4, 1) - 2 · (0, 4)
S'(x, y) = (4, 1) + (0, - 8)
S'(x, y) = (4, - 7)
T'(x, y) = (4, - 1) - 2 · [(4, - 1) - (4, - 3)]
T'(x, y) = (4, - 1) - 2 · (0, 2)
T'(x, y) = (4, - 1) + (0, - 4)
T'(x, y) = (4, - 5)
V'(x, y) = (- 1, - 3) - 2 · [(- 1, - 3) - (- 1, - 3)]
V'(x, y) = (- 1, - 3) - 2 · (0, 0)
V'(x, y) = (- 1, - 3)
The vertices of the image are R'(x, y) = (- 1, - 7), S'(x, y) = (4, - 7), T'(x, y) = (4, - 5) and V'(x, y) = (- 1, - 3).
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The green shape is a dilation of the black shape. Is it an enlargement or a reduction?
Find the derivation of the following functions with they corresponding variables
Answer:
d(f(t))/dt = –56/(t^8) – (5/6)/t^(7/6) + 12t^3 – 2t + (1/3)t^(2/3))
Step-by-step explanation:
To find the derivative of f(t), we have to find the derivative of each component of the function to make it easier.
d(8/(t^7))/dt = d(8xt^-7)/dt = –7 x 8 x t^-8 = –56t^-8 = -56/(t^8)
d(5/(t^(1/6)))/dt = –(1/6) x 5 x t^(-7/6) = –(5/6)/t^(7/6)
d(3t^4)/dt = 4 x 3 x t^3 = 12t^3
d(t²)/dt = 2t
d(t^⅓)/dt = ⅓t^(-2/3) = (1/3)t^(2/3))
d(12)/dt = 0.
Therefore,
d(f(t))/dt = –56/(t^8) – (5/6)/t^(7/6) + 12t^3 – 2t + (1/3)t^(2/3))
In the property of equality what would the equation 3x+5=14?
The properties of equality used to solve the equation 3x+5=14 are subtraction and division.
What are the properties of equality?The properties of equality, which can be used to solve any equation, include:
AdditionSubtractionDivisionMultiplication.However, we can determine if the solution to the equation and the properties are correct by substituting the variable's value into the equation using the substitution property of equality.
Data and Calculations:Check:
Given that 3x+5 = 14
3x = 14 - 5 Subtraction
3x = 9
x = 3 (9/3) Division
Thus, in equation 3x+5=14, the properties of equality that would solve it are subtraction and division.
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Complete Question:Which property of equality would be used to solve the equation 3x+5=14?
Solve each of the following equations by first using the distributive property to rewrite one or both of the two sides of the equation.
(A) 2(5t+9)=36-7(t-2)+t
(B) 47+s=8(s+2)-s+13
Answer:
A) t = 2
B) s = 3
Step-by-step explanation:
(A) 2(5t+9)=36-7(t-2)+t
Expand 2(5t + 9) using distributive law(B) 47+s=8(s+2)-s+13
8(s+2) = 8s + 16RHS becomes 8s + 16 - s + 13the bag of letter tiles include 15 vowels and 25 consonants. What is the probability of selecting two vowels one after another NEED HELP ASAP
Answer: 0.1346
Step-by-step explanation:
Number of vowels = 5 vowels
Number of consonants = 25
For us to calculate the probability of selecting two vowels one after another, we have to select the first vowels which will give a probability of 5/40, then we select the second vowel which will be 4/24 since there'll be 4 vowels left 39 alpahabets.
Therefore, probability of selecting two vowels one after another will be:
= 15/40 × 14/39
= 3/8 × 14/39
= 0.1346
Find A if B=30.6°, b=7.42 in, and c=4.45
Noah bought 15 baseball cards for $9.00. Assuming that each baseball card costs the same amount, answer the following questions.How much will 30 baseball cards cost?
Answer:
$18.00
Step-by-step explanation:
Because you know that 15 baseball cards costs 9.00. 30 is 2 15s added together. So you will do 9.00+9.00 in order to get the amount of money it needs. Double the baseball cards cost double the money.
Hope this helps. Please give brainliest.
Write the exponential form of "(5)^-2 = 1/25" in logarithmic form *
The required logarithm form is -2log5
Given the exponential form of an equation expressed as;
[tex](5)^{-2} = 1/25[/tex]
For us to change the exponential form into logarithmic equation, first we need to identify the base, move it to the other side of the expression and then take the logarithm
Take the logarithm of both sides
[tex]= log(5)^{-2} \\=-2log5\\[/tex]
Hence the required logarithm form is -2log5
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inverse of functions
Solve for x. Round to the nearest tenth.
Answer: 36.2
Step-by-step explanation:
30^2+15^2=1314
square root of 1314 is equal to 36.249
rounded to nearest tenth: 36.2
La suma de dos números es 84. Tres veces el número menor excede el
número mayor por 60. Halla los números.
Separa las respuestas con una!
Calculate the simple interest.
$500 at 6.1% for 4 years
The simple interest is $
Answer:
$122 in 4 years
Step-by-step explanation:
6.1% of 500 is 30.5
30.5*4 = 122
write an equation of the line that is parallel to the line whose equation is 4y+9=2x and passes through the point (7,2)
PLSSSSS HELPPPPPPP ASAPPPPPP!!!! I WILLL GIVE BRAINLIEST!!!! PLSSSSS HELPPPPPPP ASAPPPPPP!!!! I WILLL GIVE BRAINLIEST!!!!
Answer:
(4, -1)
Step-by-step explanation:
If you plug in 4 and -1 to both of the functions, they will both "work". They output the correct number and are equal.
Answer:
The first option (4, -1)
Step-by-step explanation:
what is 0.08 1/10 of
Answer:
0.8
0.08 x 10 = 0.8
Answer:
0.8 I think.
Step-by-step explanation:
0.8×10 I hop tho helps
Starr buys Converse shoes from the manufacturer for $25.50 a pair, she sells them for $38.50, what percent is she marking them up?
Answer: Approximately 51%
Step-by-Step-Explanation:
Given -
Cost - $25.50Selling for - $38.50We must find:
The price Starr is marking upProfit (Numbers Given)
$38.50 - $25.50 = $13.00
Profit, (In percent)
13/25.50 × 100 ≈ 51%
Drag expressions to complete each equation.
[tex] {a}^{b} \times {a}^{c} = {a}^{(b + c)} [/tex]
[tex] \frac{ {a}^{b} }{ {a}^{c} } = {a}^{(b - c)} [/tex]
[tex] {a}^{c} \times {b}^{c} = {ab}^{c} [/tex]
True or False? A circle could be circumscribed about the quadrilateral below.
Answer:
b. false
Step-by-step explanation:
Answer:
False
Step-by-step explanation:
A P E X
What is the equation of the line perpendicular to the line shown in the diagram that passes through the point (- 3, - 5) ?
Answer:
A X + 3y = 18
Step-by-step explanation:
What is the average speed in miles per hour if a driver has traveled 8 miles in 10 minutes?
Answer:
48 MPH
Step-by-step explanation:
10 mins times 6= 60 mins which is an hour
8 miles times 6= 48 miles
This means the average is 48 MPH
A chemist wants to mix a 10% acid solution with a 26% acid solution to obtain 16 liters of a 14% acid solution. How much of the 26% solution should she use?
Answer:
The 26% solution should she use is explained below in detailed explanation.
Step-by-step explanation:
Assumed there be 10 percent of x liters of acid solution
Assumed there be 26 percent of y liters of acid solution
provided Information
A chemist needed to combine a 10 percent acid solution with a 26 percent acid solution to obtain 16 liters of a 14 percent acid solution
So, ( 10 / 100 )*x + ( 26 / 100 )*y = ( 14 / 100 )*16
=> 0.1*x + 0.26*y = 0.14*16
=> 0.1*x + 0.26*y = 2.24 ....................... eq 1
x + y = 16 ......................... eq 2
Multiply ( 0.1 ) in both side in eq 2
=> 0.1*x + 0.1*y = 0.1*16
=> 0.1*x + 0.1*y = 1.6 ......................... eq 3
Subtract eq 3 from eq 1
0.1*x - 0.1*x + 0.26*y - 0.1*y = 2.24 - 1.6
=> 0.16*y = 0.64
=> x = 0.64 / 0.16
=> y = 4
So, 4 liters of 26% solution she should utilized
Please answer this correctly without making mistakes
Answer:
The first coupon with $550 off
Step-by-step explanation:
773.50-550= 223.5 (first coupon)
773.50×(100%-70%)=232.05(second coupon)
232.05>223.5
first one will save more money
Evaluate. Write your answer as a fraction in simplest form.
Answer:
[tex]\frac{27}{64}[/tex]
Step-by-step explanation:
[tex]\left( \frac{3}{4}^3 \right) = \frac{3^3}{4^3} = \frac{3\cdot 3\cdot 3}{4 \cdot 4 \cdot 4} = \frac{27}{64}[/tex]
Solve the equation 18y-6y+22=11(y-2)+y
Answer:
the answer its 44=0
Step-by-step explanation:
18y-6y+22=11(y-2)+y1
We move all terms to the left:
18y-6y+22-(11(y-2)+y1)=0
We add all the numbers together, and all the variables
12y-(11(y-2)+y1)+22=0
We calculate terms in parentheses: -(11(y-2)+y1), so:
11(y-2)+y1
We add all the numbers together, and all the variables
y+11(y-2)
We multiply parentheses
y+11y-22
We add all the numbers together, and all the variables
12y-22
Back to the equation:
-(12y-22)
We get rid of parentheses
12y-12y+22+22=0
We add all the numbers together, and all the variables
44=0
are not solution for this equation
Hope helps you and have a great day !
Slope = -4 and
the one point the equation goes through is (-3,-7)
Find the common ratio 1,6,36,216 of this sequence.
A school carnival sold 18 early-admission tickets and 57 regular tickets. What percentage of the tickets sold were early-admission tickets
Answer:
60%
Step-by-step explanation:
57 / 95× 100 = 50%
Please Leave an Excellent Rating and a THANKS
Answer:
Step-by-step explanation:
Add the two tickets together to get a whole.
18+57 = 75
Divide 18/75
≈0.24
multiply by 100
you get 24%
ms.brown can make a floral arrangement in half an hour. How many can she make in 7 and a half and hour [ direct variations ]
Using the graph, determine the coordinates of the x-intercepts of the parabola.
Y
Answer: -2 and 4
Step-by-step: You see the horizontal line? now look at the the numbers -2 and 4 on that line. Notice how the line passes through them? those are your x-intercepts.
The required coordinates of the x-intercepts of the parabola are (0, -2) and (0, 4).
What is x-Intercept?The x-intercept is defined as an intercept that is located at the x-axis of the plane, which is the location or coordinates from where the line crosses.
We have to determine the coordinates of x-intercepts and y-intercepts that would function in the given graph.
The parabola of the graph is given in the question
A horizontal axis, or x-axis, and a vertical axis, or y-axis, are present in a 2-dimensional coordinate graph. Intercepts are the points (0, -2) and (0, 4) here lines representing a range of values intersect these axes.
Therefore, the required coordinates of the x-intercepts of the parabola are (0, -2) and (0, 4).
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1,000 divided by 3.85 with only remainders
Answer:
Its 259.740
Step-by-step explanation:
I used a calculator? Sorry if I dont have the "Remainders"