If this trapezoid is moved through the translation (x+1,y-3), what will the coordinates of A be?
Please Help Me!!!
Answers
Answer:
A' = (- 5, - 1)
Step-by-step explanation:
The coordinates of point A = (- 6, 2)
Under the translation (x + 1, y - 3)
Add 1 to the x- coordinate of A and subtract 3 from the y- coordinate of A
A' = (- 6 + 1, 2 - 3) → A' = (- 5, - 1)
Based on the fact that there are 4 points which are given below, we have to move the trapezoid to the points of A will be (x+1, y-3). The coordinates of A be A(-6,2) =>A'(-5, -1)
What is a trapezoid?A trapezoid is regarded as a quadrilateral that has only one pair of opposite sides that are said to be parallel.
The points on the graph are:
A(-6,2) =>A'(-5, -1)
B(-5,4) =>B'( -4,1)
C(-2,4)=> C'(-1,1)
D( 1,2) => D'(2,-1)
It is made up of a right angles (called right trapezoid), and it can also contain a congruent sides (isosceles). Note that in the above, the only way the trapezoid can fit into the translation movement (Point A)is if it is moved to the points of (x+1, y-3) on the graph.
The coordinates of A be A(-6,2) =>A'(-5, -1).
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Related Questions
biggest to smallest 1/8 2/3 3/5
Answers
Convert the fractions to decimals:
1/8 = 0.125
2/3 = 0.666
3/5 = 0.6
Now arrange from largest to smallest
2/3, 3/5, 1/8
Answer:
2/3 biggest
3/5
1/8 smallest
A line passes through the point (-4,-8) and has a slope of -5/2.
Write an equation in slope-intercept form for this line..
Plz
Answers
[tex]\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-8})~\hspace{10em} slope = m\implies -\cfrac{5}{2} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-(-8)=-\cfrac{5}{2}[x-(-4)] \\\\\\ y+8=-\cfrac{5}{2}(x+4)\implies y+8=-\cfrac{5}{2}x-10\implies y=-\cfrac{5}{2}x-18[/tex]
Find the missing factor.
8x^2 - 15x + 7 = (8x - 7)( )
Answers
Answer:
Step-by-step explanation:
(8x - 7)(
The x^2 term has to come out to 8x^2.
The 8 is already there.
So your first term in the second factor is x.
(8x - 7) ( x
Now the question is what is the sign after the x. Since the question shows +7 the only way that can happen is if both signs in the factors are the same.
Since (8x - 7) has been given to you and you need 7 to come out plus, then the sign after x must minus. Both signs must be the same.
(8x - 7)(x -
Last, what comes after the minus sign? You already have a minus 7 so you need something to multiply by 7 to get seven.
That should be a one.
(8x - 7)(x - 1)
x - 1 is you answer. I leave you to check the middle term. It is - 15
Find the slope of the line through the points (4, 8) and (5, 10).
A. 1/2
B. -1/2
C. 2
D. -2
Answers
Answer:
The slope is 2.
Step-by-step explanation:
Slope formula is
M=y-y/x-x
M= 10-8/5-4
M= 2/1
M=2
URGENT!!!!
Which transformations could have occurred to map AABC
to AA"B"C"?
a rotation and a reflection
a translation and a dilation
a reflection and a dilation
a dilation and a rotation
Answers
Answer: a dilation and a rotation
Step-by-step explanation:
A reflection is a rigid transformation that maps every point of a figure in the plane to point of image of figure, across a line of reflection .A rotation of some degrees is a rigid transformation which rotate a figure about a fixed point known as the center of rotation.A translation is a rigid transformation of a figure that moves every point of the figure a fixed distance in a particular direction.A dilation is a transformation in which a figure is enlarged or reduced with respect to a point known as the center of dilation.From the given figure it can be seen that ΔABC is reduced to ΔA"B"C" so there must be dilation.
Also, when there is rotation about point C to create ΔA"B"C".
Therefore, the transformations could have occurred to map ΔABC to ΔA"B"C" are a dilation and a rotation.
Which of the following could be the equation of the graph shown below? A. y=-10 B. 2x- 3y= -9 C. y = 3x-2 D. -4x+ 2y= -6
Answers
Answer:
C. y = 3x - 2
Step-by-step explanation:
Since the y intercept is negative, it is seen in this equation that the b value (the y intercept) is also negative. Since the slope is increasing upward, we know that the slope is greater than 1 and is going upward, and it matches with the equation since it matches with both of the requirements.
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Answer: c and d
Step-by-step explanation:
Find the least common multiple.
3x3, 12y7, and 15xy3
Answers
Answer:
60 x^3 y^7
Step-by-step explanation:
3x^3 = 3*xxx
12y^7 = 3*4 yyyyyyy
15xy^3 = 3*5 xyyy
We need to have the minimum of each for the least common multiply
For the numbers there is a 3 a 4 and a 5
For the x , the minimum is xxx
For the y, the minimum is yyyyyyy
Least common multiple: 3*4*5 xxx yyyyyyy
60 x^3 y^7
GEOMETRY Please HELP
Answers
Answer:
x = 6.93
Step-by-step explanation:
If a tangent and a secant are drawn to a circle from the same exterior point, the square of the length of the tangent is equal to the product of the total length of the secant and the length of the external segment of the secant.
From the given diagram,
(8+4)×4=x²
12×4=x²
48=x²
x=√48
x=6.93
x=7 to the nearest whole number.
Find the value of x.
Answers
314 + 2x = 540
X= 113
Hope this helps!
A polynomial function can be written as (x - 1)(x - 4)(x + 7). What are the x-intercepts of the graph of this function?
a.(1,0). (4,0), (7,0)
b.(-1,0).(-4,0), (-7,0)
c.(1,0), (4,0), (-7,0)
d.(-1,0), (-4,0), (7,0)
Answers
X - intercepts are also known as zeros. To solve this simply take each factor of the polynomial and set it equal to zero. Solve for x then you'll have your x - value of the x intercept.
x - 1 = 0
x - 1 +1 = 0 + 1
x = 1
x - 4 = 0
x - 4 + 4 =0 +4
x = 4
x + 7 = 0
x + 7 - 7 = 0 - 7
x = -7
^^^All the above are the x values of the x - intercepts
The answer is...
C. (1 , 0) (4, 0) ( -7, 0)
Hope this helped!
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100 pencils cost 7.00 1 pencil cost
Answers
Answer:
7 pence
Step-by-step explanation:
7.00 / 100 = 7 pence
Answer:
7 cents
Step-by-step explanation:
7.00/100
Your school is organizing a carnival. You are building a ramp for a game the surface of the ramp will be 5 feet long with a total rise of 3 feet. Find the angle of elevation of the ramp
Answers
Answer:
Step-by-step explanation:
this angle is related to the ramp surface length (hypotenuse) and the rise in the ramp by the tangent function:
sin Ф = opp / hyp = 3 ft / 5 ft = 0.60
Use the inverse sine function to determine the angle Ф.
arcsin 0.60 = 36.9 degrees
Final answer:
The angle of elevation of the ramp is approximately 36.87 degrees, calculated using the tangent function in trigonometry and the given dimensions of the ramp's rise and length.
Explanation:
To find the angle of elevation of the ramp, we can use trigonometry, specifically the tangent function, which relates the angle of a right triangle to the ratio of the opposite side (rise) to the adjacent side (run). In this case, the ramp surface is the hypotenuse of the right triangle, the rise is the vertical change, and the run is the horizontal distance, which would be the horizontal projection of the ramp if it were flat. Since we know the rise is 3 feet and the ramp length (hypotenuse) is 5 feet, we can calculate the run using the Pythagorean theorem.
Calculate the run (horizontal distance): run = √(hypotenuse^2 - rise^2) = √(5^2 - 3^2) = √(25 - 9) = √16 = 4 feet.Now, calculate the angle of elevation using the definition of tangent: tangent(angle) = opposite/adjacent, which leads to angle = arctan(opposite/adjacent).Plug in the values for the rise and run: angle = arctan(3/4). Use a calculator to find the angle: angle ≈ 36.87°.The angle of elevation of the ramp is approximately 36.87 degrees.
Lisa is a leading player on her basketball team. She has kept track of how many points she has scored over the course of the season. Her scores may be viewed in the table below. 36 20 35 13 30 14 36 11 29 19 22 40 34 17 26 21 What is the median of Lisa’s scores? Round to the nearest point, if necessary. a. 23 b. 24 c. 26 d. 30
Answers
Answer: Option b
[tex]M=24[/tex]
Step-by-step explanation:
We have the following list of data
36 20 35 13 30 14 36 11 29 19 22 40 34 17 26 21
The list contains 16 data.
The first step to calculate the median is to order the data from least to highest
11,13,14,17,19,20,21,22,26,29,30,34,35,36,36,40
Now mark the two central values of the data set
11,13,14,17,19,20,21 [22,26] 29,30,34,35,36,36,40
The median of the data is the average of the two central values
[tex]M=\frac{22+26}{2}[/tex]
[tex]M=24[/tex]
Note that the median is the central value of the ordered data set
A car is traveling at 42 mph. if its tires
have a diameter of 27 inches, how fast are
the car's tres turning? Express answer
in revolutions per minute.
Answers
Answer:
522.9 revolutions /min
Step-by-step explanation:
Given Diameter, D = 27 inches
Circumference, C = πD = 3.142 x 27 = 84.82 inches
(recall 1 mi = 63360 in)
Car speed is 42 mph = 42 mph x 63,360 inches / mile = 2,661,120 inches / hr
(recall 1 hour = 60 min)
Hence car speed becomes
= 2,661,120 inches / hr ÷ 60 min/hr
= 44,352 inches / min
Number of revolutions / min
= speed in inches/min ÷ circumference
= 44,352 ÷ 84.82 = 522.9 revolutions /min
To find out how fast a tire with a diameter of 27 inches is turning for a car moving at 42 mph, you first convert miles per hour to inches per minute, then calculate the tire's circumference in inches, and divide the car's speed by this circumference. The calculated result is approximately 523.05 revolutions per minute.
Explanation:To answer this question, we first need to convert the information about speed and tire diameter to compatible units. We'll convert the car speed from miles per hour (mph) to inches per minute since the diameter of the tire is given in inches.
Since 1 mile equals 63,360 inches, 42 mph is equal to 42*63360 = 2,661,120 inches per hour. As there are 60 minutes in an hour, that comes out to 2,661,120/60 = 44,352 inches per minute.
Next, we will find the circumference of the tire, which is its diameter multiplied by pi. Therefore, we have a circumference of 27 inches * 3.14 (pi) = 84.78 inches.
Finally, to find out how many times the tire rotates in a minute, we divide the car's speed in inches per minute by the tire's circumference in inches. This means the tires are making 44,352/ 84.78 ~= 523.05 revolutions per minute.
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Let f(x) = (7x^3 + 18)2 and h(x) = x^2.
Given that f(x) = (hºg)(x), find g(x).
Answers
[tex]\bf \begin{cases} f(x)=(7x^3+18)^2\\ f(x) = (h\circ g)(x)\\ h(x)=x^2 \end{cases}~\hspace{5em}(h\circ g)(x) = \stackrel{f(x)}{(7x^3+18)^2} \\\\\\ h(x) = x^2\implies \stackrel{(h\circ g)(x)}{h(~~g(x)~~)}=[g(x)]^2\implies h(~~g(x)~~)=\stackrel{f(x)}{(7x^3+18)^2} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill g(x)=7x^3+18~\hfill[/tex]
which of the following is a point slope equation of a line with the point (1, 8) and a slope of -5? a. y +8=-5(x+1) b. y- 5 = -5(x-8) c. y+ 5= -5(x+8) d. y-8=-5(x-1)
Answers
Answer:
Option D. [tex]y-8=-5(x-1)[/tex]
Step-by-step explanation:
we know that
The equation of a line into point slope form is equal to
[tex]y-y1=m(x-x1)[/tex]
we have
[tex](x1,y1)=(1,8)[/tex]
[tex]m=-5[/tex]
substitute
[tex]y-8=-5(x-1)[/tex]
The correct point-slope equation for a line passing through the point (1, 8) with a slope of -5 is y - 8 = -5(x - 1).
The point-slope form of an equation of a line is y - y1 = m(x - x1), where (x1, y1) is the point on the line and m is the slope.
Given the point (1, 8) and a slope of -5, the correct point-slope equation is d. y - 8 = -5(x - 1).
Therefore, the correct answer is d. y - 8 = -5(x - 1).
Write 0.8% as a decimal number and a proper fraction in lowest terms.
1. Show and explain your work in converting 0.8% to a decimal.
2. Show and explain your work in convtering 0.8% to a proper fraction in lowest terms.
3. Write a sentence putting your answers into the context of the exercise.
Answers
Answer:
1. .0008
2. 1/125
3. 0.8% of a mile is 1/125th of a mile
198 cents to 234 cents using a fraction in simplest form
Answers
Answer:
11/13
Step-by-step explanation:
198/234
(198/18)/(234/18)
11/13
Answer:
11/13
Step-by-step explanation:
198 cents to 234 cents using a fraction in simplest form is 11/13.
Hope this helps!
Feel free to ask if you have anymore questions!
At Funland, all rides cost $1. Angela has $21.50. How
many rides can she take?
Answers
Answer:
21 rides, with $0.50 left.
Step-by-step explanation:
All rides cost $1. Note that you cannot take half a ride, and so the cents (0.50) is out of the question. Divide 21 with 1:
21/1 = 21
Angela can ride up to 21 rides.
~
What is the volume of A right prism w/ a triangular base w/ sides of 3,4 and 5 w/ a height of 10?
Answers
Check the picture below.
[tex]\bf \textit{volume of a pyramid}\\\\ V=\cfrac{1}{3}Bh~~ \begin{cases} B=&area~of\\ &its~base\\ h=&height\\ \cline{1-2} B=&\frac{1}{2}(3)(4)\\ h=&10 \end{cases}\implies V=\cfrac{1}{3}\cdot \cfrac{1}{2}(3)(4)(10)\implies V=20[/tex]
if f(x)=x/2-3 and g(x)=4x^2+x-4, find (f+g)(x)
Answers
Answer:
[tex]\large\boxed{(f+g)(x)=4x^2+\dfrac{3}{2}x-7}[/tex]
Step-by-step explanation:
[tex](f+g)(x)=f(x)+g(x)\\\\f(x)=\dfrac{x}{2}-3=\dfrac{1}{2}x-3,\ g(x)=4x^2+x-4\\\\\text{Substitute:}\\\\(f+g)(x)=\left(\dfrac{1}{2}x-3\right)+(4x^2+x-4)\\\\=\dfrac{1}{2}x-3+4x^2+x-4\qquad\text{combine like terms}\\\\=4x^2+\left(\dfrac{1}{2}x+x\right)+(-3-4)\\\\=4x^2+1\dfrac{1}{2}x-7\\\\=4x^2+\dfrac{3}{2}x-7[/tex]
A regular octagon has an apothem measuring 10 in, and a
perimeter of 66.3 in
What is the area of the octagon, rounded to the nearest
square inch?
10 in
88 in 2
175 in 2
332 in2
700 in 2
Answers
Answer:
332 square inch
Step-by-step explanation:
Solving for an area of a regular octagon, we can make use of the formula shown below:
Area = 1/2 * apothem*perimeter
In this problem, the following values were given such as:
Apothem = 10 inches
Perimeter = 66.3 inches
Solving for the area:
Area = 1/2*10*66.3
Area = 331.5 inches²
The answer is 332.
Answer:
Option C. 332 in²
Step-by-step explanation:
In the figure attached, a regular octagon has been drawn with all equal sides and apothem OP = 10 in.
Perimeter of the given octagon is given as 66.3 in
We have to calculate the area of the octagon.
As we can see in the figure an octagon is a combination of 8 triangles.
So we will find the area of one triangle first.
Area of ΔBOC = [tex]\frac{1}{2}(BC)(OP)[/tex]
Since perimeter of octagon = 8 × one side = 8×BC
66.3 = 8× BC
BC = [tex]\frac{66.3}{8}[/tex]
BC = 8.288 in
Therefore, area of ΔBOC = [tex]\frac{1}{2}(10)(8.288)[/tex]
= 5×8.288
= 41.44 in²
Now area of octagon ABCDEFGH = 8×41.44 = 331.5 ≈ 332 in²
Therefore, area of the regular octagon will be 332 in²
Option C. is the answer.
Solve for x. x/5+ 1 = 7
x = 5 5/6
x = 30
x = 35
x = 40
Answers
Answer:
x = 30Step-by-step explanation:
[tex]\dfrac{x}{5}+1=7\qquad\text{subtract 1 from both sides}\\\\\dfrac{x}{5}+1-1=7-1\\\\\dfrac{x}{5}=6\qquad\text{multiply both sides by 5}\\\\5\!\!\!\!\diagup^1\cdot\dfrac{x}{5\!\!\!\!\diagup_1}=5\cdot6\\\\x=30[/tex]
(4x3 + 11X + 9) / (x + 3)
Answers
the first picture
If you divide using synthetic division you get the same answer because if you set up the synthetic division using the coefficients of the numerator and the root in the denominator. Divide using the rules for synthetic division.
You cannot solve for x because nothing further can be done with topic
You cannot simplify the expression more.
Hope this helps :)
Using the given function, select the correct set of ordered pairs for the following domain values.
Answers
Answer:
The set of ordered pair are { (-12,-18),(-3,-3), (0,2),(3,7),(12,22)}
Step-by-step explanation:
we have
[tex]f(x)=\frac{5}{3}x+2[/tex]
Find the values of f(x) for the domain values
For x=-12
substitute
[tex]f(-12)=\frac{5}{3}(-12)+2=-18[/tex]
The ordered pair is (-12,-18)
For x=-3
substitute
[tex]f(-3)=\frac{5}{3}(-3)+2=-3[/tex]
The ordered pair is (-3,-3)
For x=0
substitute
[tex]f(0)=\frac{5}{3}(0)+2=2[/tex]
The ordered pair is (0,2)
For x=3
substitute
[tex]f(3)=\frac{5}{3}(3)+2=7[/tex]
The ordered pair is (3,7)
For x=12
substitute
[tex]f(12)=\frac{5}{3}(12)+2=22[/tex]
The ordered pair is (12,22)
Answer with explanation:
The given function is
[tex]f(x)=\frac{5x}{3}+2\\\\x=-12,-3,0,3,12\\\\f(-12)=\frac{5\times -12}{3}+2\\\\f(-12)=-20+2\\\\f(-12)=-18\\\\f(-3)=\frac{5 \times -3}{3}+2\\\\f(-3)=-5+2\\\\f(-3)=-3\\\\f(0)=\frac{5\times 0}{3}+2\\\\f(0)=2\\\\f(3)=\frac{5\times 3}{3}+2\\\\f(3)=5+2\\\\f(3)=7\\\\f(12)=\frac{5\times 12}{3}+2\\\\f(12)=20+2\\\\f(12)=22[/tex]
So, the ordered pair will be
(-12, -18),(-3,-3),(0,2),(3,7),(12,22)
If A=1/2h(x+y), what is y in terms of A, h, and x?
Answers
Answer:
see explanation
Step-by-step explanation:
Given
A = [tex]\frac{1}{2}[/tex] h(x + y)
Multiply both sides by 2 to eliminate the fraction
2A = h(x + y) ( divide both sides by h )
[tex]\frac{2A}{h}[/tex] = x + y ( subtract x from both sides )
y = [tex]\frac{2A}{h}[/tex] - x
The solution to the equation A=1/2h(x+y) for y in terms of A, h, and x, is y = 2A/h - x, obtained by algebraic rearrangement.
Explanation:To solve the given equation A=1/2h(x+y) for y in terms of A, h, and x, we first perform algebraic rearrangement. We want to get y in terms of A, h, and x. So, the first step is to eliminate the 1/2h from the right side of the equation. We can do this by multiplying both sides of the equation by 2/h, we get: 2A/h = x + y.
Now, to solve for y, we can simply subtract x from both sides: y = 2A/h - x. So now we have y expressed in terms of A, h, and x.
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When x=2 and y=4, what is the value of 7x-y?
Answers
Answer:
the value of 7x-y is -14.
Step-by-step explanation:
When x=2 and y=4,
To find the value of 7x - y when x =2, y = 4, this means when ever you see x, put 2 in replacement, y, put 4 respectively.
7x - y = 7(2 - 4)
14 - 28
= -14.
The value of the expression 7x - y is 10 if the values of x and y are 2 and 4 respectively.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
The expression is:
= 7x - y
The value of x and y is given:
x = 2
y = 4
Plug the above values in the expression 7x - y
= 7(2) - 4
= 14 - 4
= 10
The linear expression can be defined as the relation between two expressions, if we plot the graph of the linear expression we will get a straight line.
If in the linear expression, one variable is present, then the expression is known as the linear expression in one variable.
Thus, the value of the expression 7x - y is 10 if the values of x and y are 2 and 4 respectively.
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Funcions f(x) and g(x) are defined below.
Determine where f(x) = g(x) from the graph.
A: x = -2; x = 2
B: x = -2; x = 0; x = 2
C: x = 0; x = -8
D: x = 0, x = 2
Answers
The point where f(x)= g(x) is x = -2; x = 2.
The correct option is (A)
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
As, from the graph the line graph for f(x) and g(x) is coinciding at two points at 2 and -2.
At these two points the two function line overlap.
So, point where f(x)= g(x) is x=2 and x=-2.
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Expand the binomial (1 - 2x)^6 use Pascal’s triangle
Answers
Answer:
1 - 12x + 60x^2 - 160x^3 + 240x^4 - 192x^5 + 64x^6
Step-by-step explanation:
So we need to know the 7th line of pascals triangle so let us write it out
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
1 6 15 20 15 6 1 <----- This one
Now we know we will need coefficients of x from 0 to 6, let us call this i, and for each of these the coefficient is
(-2)^i * (1)^(6-i) * number in pascals triangle
Hence
i = 0, 1 * 1 * 1 = 1
i = 1, -2 * 1 * 6 = -12
i = 2, 4 * 1 * 15 = 60
i = 3, -8 * 1 * 20 = -160
i = 4, 16 * 1 * 15 = 240
i = 5, -32 * 1 * 6 = -192
i = 6, 64 * 1 * 1 = 64
Hence (1-2x)^6 = 1 - 12x + 60x^2 - 160x^3 + 240x^4 - 192x^5 + 64x^6
Find the value of x that will make L ll M
Answers
Answer:
x=7
Step-by-step explanation:
7x-7 = 4x + 14
3x-7=14
3x = 21
x=7
Answer: 7
Step-by-step explanation: