The coordinates of C' after a reflection across the line y = -2 are (3, -2).
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, translation and dilation.
Given that the verticles of ABC are A(-4,5,)B(-2,4), and C(-3,2). If ABC is reflected across the line y = - 2 to produce the image ABC, then we need to find the coordinates of the vertex C.
Let (x, y) represent the coordinate of the point C
x-coordinate value:
The line y = -2 is parallel to the x-axis, therefore the x-value will remain the same following a reflection across the x-axis.
Taking the point C' as the image of the corresponding point C(-3,2), we need that the x-coordinate of the point C' is also 3
x = 3
y-coordinate value:
The difference between the coordinate of the pre-image and the reflecting line is same as difference between the reflecting line and the coordinates of the image.
Therefore, the coordinates of the point C' is (x, y) = (3, -2)
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Five subtracted from a number equals 10. Find the number.
Answer:the number is 15
if i am correct give me brainliest
Step-by-step explanation:because 5-15=10 the number is 15
89% means 89 out of?
Answer:
100
Step-by-step explanation:
Which graph is a function of x?
Answer:
The first one is a function of x. The graph with a straight line up and down (vertical).
Step-by-step explanation:
1. Round each decimal to the nearest whole number.
b. 34.972
a. 0.948
Answer:
34.972 ≈ 35
0.948 ≈ 1
Hope this helps :)
Step-by-step explanation:
To round to the nearest whole number look at the tenths place (the place right after the decimal). If the number is 1,2,3,4 then round down or keep the number the same. If the number is 5,6,7,8,9 then round up.
Lisa is riding on a bike course that is 40 miles long .So far she has ridden 22 miles of the course.what percentage of the course has Lisa ridden so far
Answer:
55%
Step-by-step explanation:
She has ridden 22 out of 40 miles
22/40 is 0.55
0.55 = 55%
She has eight more miles or 45% left to go.
what is the difference of twice a number and 3 is 11
Answer:
2x - 3 = 11
x = -21
Step-by-step explanation:
1. Name three acute angles.
a. NOK, JOK, KOL
b. NOM, JOK, KOL
c. NOM, JOK, KON
7x7=7X (5+____________)
=( __________ × 5) + (7 ×______ )
=______ + ______
=______
What is the image of the point (0,4)(0,4) after a rotation of 180^{\circ}180
∘
counterclockwise about the origin?
Answer:
(0,-4)
Step-by-step explanation:
I'm pretty sure it would be (0,-4) though it may be counted wrong. A whole 180° is like if you start from the highest point, you'd be at the lowest point right after the turn. It doesn't really matter the direction with 180° in this case cause it's going to be the same outcome anyways. (Or so I'd think).
An employment agency specializing in temporary construction help pays heavy equipment operators $136 per day and general laborers $80 per day. If thirty-two people were hired and the payroll was $3960, how many heavy equipment operators were employed? How many laborers?
The number of heavy equipment operators employed is 26 while number of laborers employed is 6
How to solve Algebraic word problems?
Let x be the number of heavy equipment operators employed
Thus, If thirty-two people were hired, then we can say that;
32 - x represents the number of laborers employed
Thus, the equation to solve for x would be;
136x + 80(32 - x) = 3960
136x + 2560 - 80x = 3960
216x + 2560 = 3960
216x = 3960 - 2560
216x = 1400
x = 1400/216
x ≅ 6
Thus;
32 - x = 32 - 6 = 26
Thus, we conclude that number of heavy equipment operators employed is 26 while number of laborers employed = 6
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What is the vertex and minimum and maximum of
y= -2/3|x-1|
The vertex of the function is (1, 0), the maximum is y = 0 and it has no minimum
How to determine the vertex and minimum and maximum of the function?The function is given as:
y = -2/3|x - 1|
The above function is an absolute value function
An absolute value function is represented as:
y = a|x - h| + k
Where the vertex is
Vertex = (h, k)
By comparing y = a|x - h| + k and y = -2/3|x - 1|, we have
(h, k) = (1, 0) --- vertex
a = -2/3
Because a = -2/3 is negative, then the vertex is a maximum
Hence, the vertex of the function is (1, 0), the maximum is y = 0 and it has no minimum
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please show me what is 11.54(-2.6)
SOLVE PROBLEMS WITH RATIOS AND PROPORTIONS
. A recipe uses a 2:5 ratio of baking soda to brown sugar Write an equation and find the missing quantity for
each situation.
a. How much brown sugar do you need if you want to use 6 tablespoons of baking soda?
b. How much baking soda do you need if you want to use 20 teaspoons of brown sugar?
c. How much brown sugar do you need if you want to use 4 cups of baking soda?
d. How much baking soda do you need if you want to use 60 grams of brown sugar?
Using proportions, it is found that:
a) You need 15 tablespoons of brown sugar.
b) You need 8 tablespoons of baking soda.
c) You need 10 cups of brown sugar.
d) You need 24 cups of baking soda.
What is a proportion?A proportion is a fraction of a total amount, and equations can be built to find the desired measures in the problem using a rule of three, that can be either direct(cross multiplication) or inverse(line multiplication), deriving from proportional relationships. One example of application of proportions is for ratio problems.
For this problem, the recipe uses a 2:5 ratio of baking soda to brown sugar, hence:
2/7 of the recipe is of soda.5/7 of the recipe is of sugar.The amount of sugar is 5/2 of the amount of soda.The amount of soda is 2/5 of the amount of sugar.Hence, for item a, the amount is:
5/2 x 6 = 30/2 = 15.
You need 15 tablespoons of brown sugar.
For item b, the amount is:
2/5 x 20 = 40/5 = 8.
You need 8 tablespoons of baking soda.
For item c, the amount is:
5/2 x 4 = 20/2 = 10.
You need 10 cups of brown sugar.
For item d, the amount is:
2/5 x 60 = 120/5 = 24.
You need 24 cups of baking soda.
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Help me please with this! Thank you :)
Answer:
I'm pretty sure it's 5:4 or 5/4. I think this because there are 5 peaches and four oranges.
can someone help me with this
We get that the value of (f + g)(x) is 11 x - 1.
Function: a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.
We are given the two functions:
f(x) = 4 x + 3
g(x) = 7 x - 4
We need to find:
(f + g)(x)
We know that this is equal to
= f(x) +g(x)
Substituting the values, we get that:
= 4 x + 3 + 7x - 4
Combining the like terms, we get that:
= 11 x - 1
Therefore, we get that the value of (f + g)(x) is 11 x - 1.
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I need help on this question
Answer: 225 yd³
Step-by-step explanation:
6*4*3=72
3*17*3=153
153+72=225 yd³
Please help !! I don’t know what x is !
Answer:
x = √65
Step-by-step explanation:
You are given a right triangle with leg lengths 4 and 7, and you are asked for the length of the hypotenuse, x.
Pythagorean theoremThe Pythagorean theorem relates the lengths of the sides of a right triangle. It tells you the square of the hypotenuse (x²) is the sum of the squares of the other two sides.
x² = 4² +7² . . . . . . . . . Pythagorean relation
x² = 16 +49 = 65 . . . evaluate the expression
x = √65 . . . . . . . . . . take the square root
First, translate triangle FDE down 5 units. Second, reflect it over the y axis. Label the image F'D'E'.? what do I do
Answer:
Step-by-step explanation:
Answer:
first translate triangle FDE down 5 units
second reflect it over the y axis
The image
Step-by-step explanation:
find xz
a 31.7
b 35.5
c 37.2
d 28.5
Answer:
I don't know I think it's b
The diagram shows three vertical poles X, Y and Z. Calculate the distance between Pole X Pole Z.
Using the Pythagorean Theorem, the distance between Pole X and Pole Z is of 15.3 m.
What is the Pythagorean Theorem?The Pythagorean Theorem relates the length of the legs [tex]l_1[/tex] and [tex]l_2[/tex] of a right triangle with the length of the hypotenuse h, according to the following equation:
[tex]h^2 = l_1^2 + l_2^2[/tex]
The first part of the distance is the hypotenuse of a right triangle of sides 0.5 and 2.5, tracing a right triangle at the top of pole X and tracing it to segment Y, hence:
df² = 0.5² + 2.5²
df = sqrt(0.5² + 2.5²)
df = 2.55m.
For the second part, we apply equivalent triangles, as we can also trace a right triangle at the top of segment Y to segment Z, hence:
0.5/2.5 = df/ds
1/5 = 2.55/ds
ds = 2.55 x 5 = 12.75m
Then the total distance is:
2.55 + 12.75 = 15.3 m.
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State (f/g)(x) and determine its domain
2<3x-1 ≤ 5 solution to compound inequality
The solution of the inequality is 1<x<2.
What is inequality?A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.
An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations.
According to the given statement;
2 < 3x - 1 < 5
or, 2 + 1 < 3x - 1 + 1 < 5 + 1
or, 3 < 3x < 6
Divide the whole by 3, we get
or, 3/3 < (3/3)x < 6/3
or, 1 < x < 2
hence, the solution of the inequality is 1<x<2.
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List any five rational number between -5/6 and 5/6
The five rational number between -5/6 and 5/6 are [tex]\frac{-4}{6} ,\ \frac{-3}{6} ,\ \frac{-2}{6} , \ \frac{-1}{6} ,\ \frac{1}{6}[/tex]
A rational number, in arithmetic, a number that can be expressed as the quotient p/q of two integers such that q ≠ 0. In addition to all fractions, the set of rational numbers includes all integers, each with an integer as the numerator and 1 as the denominator.When dividing a rational number (that is, a fraction), the result is in decimal form, with either trailing decimals or repeating decimals.We have given two rational numbers [tex]\frac{-5}{6}[/tex] and [tex]\frac{5}{6}[/tex] .
For finding rational number make the denominator of given numbers same.
As the denominator of given numbers is already same so , we don't need to multiply .
Thus , five rational numbers are
[tex]\frac{-4}{6} ,\ \frac{-3}{6} ,\ \frac{-2}{6} , \ \frac{-1}{6} ,\ \frac{1}{6}[/tex]
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What is the maximum number of solutions an
equation of the form ||ax − b| + c| = d can have?
Justify your reasoning with an example
Answer:
4 for c < 02 for c > 0Step-by-step explanation:
You want the maximum possible number of solutions to the equation
||ax -b| +c| = d
AnalysisThe values of 'a' and 'b' represent a vertical scale factor and a horizontal shift, so don't really contribute to the number of possible solutions. That means we can consider only the equation ...
||x| +c| = d
Positive c
We know |x| is always positive, and may have the same value for two different values of x. For positive 'c', the outside absolute value function does nothing, so the equation is effectively ...
|x| = d-c
For d < c, there can be no solutions. For d = c, there will be one solution, and for d > c, there will be two solutions.
Negative c
When 'c' is negative, then sum |x| +c may have either sign. This gives rise to another pair of possible solutions, for a total of four solutions.
GraphThe attached graph shows the two cases. The red graph shows the left side expression with c > 0; the purple graph shows the left side expression with c < 0. The orange horizontal line represents a value of 'd'. The number of intersection points with that horizontal line is the number of possible solutions to the given equation.
For c > 0, there are two possible solutions.
For c < 0, there are four possible solutions.
Rewrite each fraction as a percent and each percent as a fraction.
-
In AHIJ, m/H = (8x − 6)˚, m≤I = (2x − 4)°, and mZJ = (x − 8)˚. Find
m/H.
Answer: jus subtract untill u find x
Step-by-step explanation:
whether u do to one side do to the other
Express each decimal as a fraction -0.4
Answer:
It will be. - 4/10 only that
PLEASE HELP (I HAVE PHOT)
IM LITTERALLY BEGGING YOU!!! Extra points and BRAINLIEST
Just please do 6,7,8,9,and10!!!
The responses to the questions involving the solution and equations of a straight line are;
6. The slope is -0.5
7. The equation is; y = x + 4
8. y = 7 - 0.25•x
9. The balance after m months is modeled by the equation;
B = 1,800 - 150•m
10. The slope is the monthly payment on the loan
How can a straight line equation be analyzed?6. The points on the graph in question 6 are; (0, 4), and (4, 2)
The slope is given by the ratio of the rise to the run of the graph as follows;
[tex]Slope = \frac{2 - 4}{0 - 4} = - 0.5[/tex]
The slope of the graph is -0.57. The equation in slope and intercept form is found as follows;
The given points are;
(-1, 3), and (-3, 1)
The slope and intercept form is presented as follows;
y = m•x + c
The point and slope form is presented as follows;
y - y1 = m•(x - x1)
Where m is the slope of the graph
m = (1 - 3)/(-3 - (-1)) = -2/-2 = 1
Which gives;
y - 3 = 1 × (x - (-1)) = x + 1
y = x + 1 + 3 = x + 4
y = x + 4The equation of the graph in slope and intercept form is; y = x + 4
8. The points are; (-4, 8), (4, 6)
Which gives;
m = (6 - 8)/(4 - (-4)) = -2/8 = -0.25
Therefore;
y - 8 = -0.25•(x - (-4)) = -0.25•x - 1
y = -0.25•x - 1 + 8 = -0.25•x + 7
y = 7 - 0.25•x9. The amount Zachary purchased the computer on loan = $1,800
The balance after 3 months = $1,350
The balance after 5 months = $1,050
Therefore;
The points on the graph of the equation that models the balance are therefore;
(0, 1,800), (3, 1,350), (5, 1,050)
Which gives;
B - 1800 = ((1,350-1,800)/(3-0))•(m - 0)
B - 1800 = -150•m
B = 1,800 - 150•mThe equation that models the balance, B, after m months is therefore;
B = 1,800 - 150•m10. The slope, ((1,350-1,800)/(3-0)) = -150, signifies the amount by which the balance reduces each month, which is the same as the amount Zachary pays each month, (the monthly payment).
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So um yeah this is a word problem for Honors Algebra and I can’t figure it out so maybe you can. It’s equations and inequalities but word form. So yeah good luck!! It’s number 4.
Answer:
5 trumpet players
Step-by-step explanation:
Given there are 10 fewer trumpet players than saxophone players, and the number of saxophone players is 3 times the number of trumpet players, you want to know the number of trumpet players.
SetupLet t represent the number of trumpet players. Then 3t is the number of saxophone players, and the difference in numbers is ...
3t -t = 10
SolutionCollect terms and divide by the coefficient of t:
2t = 10
t = 5
There are 5 trumpet players.
__
Additional comment
Check: There are 3 times as many sax players, so 15 of those. That's 10 more than the number of trumpet players.
You could have written the equation as ...
t +10 = 3t . . . . . . 10 more than the number of trumpets
Sometimes, when ratios are given:
t : s = 1 : 3
you can think in terms of "ratio units." Here, the difference is 3-1 = 2 ratio units, corresponding to a difference of 10 players. Then the multiplier of the ratio is 10/2 = 5:
t : s = 1 : 3 = 5 : 15 . . . . . . 5 trumpets and 15 saxophones.
A line on a graph passes through the points (15, 10) and (60, 20).
Answer:
Not complete, please recheck the question