The option which gives the reflection of the triangle (shape) with vertices, (2, -2), (4, -2), and (2, -6) is option a
a. A triangle is shown on ordered pair (2, 2), (4, 2), (2, 6)
What is a reflection transformation?A reflection transformation is one in which the line across which the object is reflected acts like a mirror, such that the points are swapped across the line of reflection.
The coordinates of the vertices of the triangle on the coordinate grid are;
(2, -2), (4, -2), and (2, -6)Required; The coordinates of a reflection of the shape (the triangle)
Solution; The coordinates of a point (x, y) following a reflection across the y–axis is (-x, y)
The vertices of the image of the triangle following a reflection across the y–axis are therefore;
(2, -2) → (-2, -2)(4, -2) → (-4, -2)(2, -6) → (-2, -6)A reflection of the point (x, y) across the x–axis gives the point (x, -y)
A reflection of the triangle across the x–axis therefore gives;
(2, -2) → (2, 2)(4, -2) → (4, 2)(2, -6) → (2, 6)A reflection of the point (x, y) across the line y = x, gives (y, x)
The vertices of the triangle following a reflection across the line y = x are therefore;
(2, -2) → (-2, 2)(4, -2) → (-2, 4)(2, -6) → (-6, 2)A reflection of the point (x, y) across the line y = -x, gives (-y, -x)
The vertices of the triangle following a reflection across the line y = -x are therefore;
(2, -2) → (2, -2)(4, -2) → (2, -4)(2, -6) → (6, -2)The coordinates of the triangle in the options are;
a) (2, 2), (4, 2), (2, 6)
b) (-2, -2), (-4, -2), (-4, -6)
c) (2, 2), (2, 4), (6, 2)
d) (-2, -4), (-6, -4), (-6, -2)
The correct option is therefore option a with points on the image of the triangle of (2, 2), (4, 2), (2, 6) which corresponds with the coordinates of the triangle following a reflection across the x–axis
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Which statements would prove the lines are parallel?
The statements that would prove the lines are parallel are;
∠GHI ≅ ∠KJH
∠MJH + ∠NHJ = 180°
∠KJH + ∠IHJ = 180°
How to Identify Congruent Angles?
In congruency of angles formed in this type of scenario, we will make use of the following rules;
If two parallel lines are cut by a transversal, then, Alternate Interior Angles are congruent. If two parallel lines are cut by a transversal, then, Alternate Exterior Angles are congruent. If two parallel lines are cut by a transversal, then corresponding angles are congruent.Using the above congruency rules and applying them to our question, we can say that for lines HN and KM to be parallel to each other, then;
∠GHI ≅ ∠KJH because they are corresponding angles
∠MJH + ∠NHJ = 180° because they are supplementary angles
∠KJH + ∠IHJ = 180° because they are supplementary angles
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Estimate 0.049127568 to the nearest hundredth. Express your answer as a single digit times a power of ten.
Please I need help
PLEASE HELP MATH QUESTION
Answer:
Proved below.
Step-by-step explanation:
Parallel lines and angles:
Given: p // q and ∠1≅ ∠2
Proof:
p //q, l is transversal,
∠3 ≅ ∠1 -----(I) {Corresponding angles are congruent}
∠1 ≅ ∠2 ---------(II) {Given}
From (II) & (I),
∠3 ≅ ∠2
∠3 and ∠2 are alternate interior angles. Alternate interior angles are congruent only if the lines are parallel.
⇒ l // m
Casilde and Oziel walk from a restaurant in the same direction. If Casilde has walked five-eighths of a mile and Oziel has walked seven-tenths of a mile, how far apart are they?
Help ! Pleaseeeeeeee asap
The function f(x) = 4x-6 is shown in the table below. Identify the domain and range of function f. Enter the numbers in order from least to greatest.
-5 -2 1
y -26 -14 -2
X
-26
domain:
range:
-14 -5
5
-14
-2
1 5
The domain and range of the function f(x) = 4x - 6 in order from least to greatest include the following:
Domain: -2, -6, 1, 5.Range: -26, -14, -2.What is a range?A range can be defined as the set of all real numbers that connects with the elements of a domain. This ultimately implies that, a range refers to the set of all possible output numerical values, which are shown on the y-axis of a graph.
What is a domain?A domain can be defined as the set of all real numbers for which a particular function is defined. This ultimately implies that, a domain is the set of all possible input numerical values to a function and the domain of a graph comprises all the input numerical values which are shown on the x-axis.
In order from least to greatest, the range and domain of the given function f(x) = 4x - 6 are as follows:
Range: -26, -14, -2.Domain: -2, -6, 1, 5.Read more on range here: brainly.com/question/17295757
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A scientist is experimenting on a newly discovered virus. The ideal
temperature for this new virus to thrive is 20°C. The temperature can
vary by 15°C and the virus can still survive.
Write an absolute value linear inequality that represents the
acceptable temperatures for this virus to survive. Use t as your
variable.
The required absolute value linear inequality is 15 ≤ t ≤ 20.
What is absolute value linear inequality?
A variable enclosed by the absolute value sign of an inequality is known as an absolute value inequality.
Given highest temperature as 20°C and lowest temperature as 15°C
Given variable is t.
From the first condition we get t ≤ 20 ...........(1)
From the second condition we get 15 ≤ t .....(2)
From the inequalities (1) and (2), we get
15 ≤ t ≤ 20
Therefore, the required absolute value linear inequality is 15 ≤ t ≤ 20.
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How many extra flowers did they order?
Answer:
B
Step-by-step explanation:
To find the number of extra flowers ordered, we can start by forming an equation based on the total amount paid by the customer.
Let the number of extra flowers be n.
Total paid
= cost of standard arrangement +(number of extra flowers)(cost per additional flower)
= $25 +n($1.25)
Given that the customer paid $45,
25 +1.25n= 45
Now that we have formed the equation, let's solve for n.
Subtract both sides by 25:
1.25n= 45 -25
1.25n= 20
Divide both sides by 1.25:
n= 20 ÷1.25
n= 16
You bring 1.5 dozen bagels to school.
A dozen bagels cost $5.98.
You used a coupon that took $1.00 off the total.
How much did you pay for the bagels?
Answer: You would pay $7.97 for the bagels.
Step-by-step explanation:
(Price per Dozen * Amount) - Coupon = Price of Bagels
(5.98 * 1.5) - 1 = Price of Bagels
8.97 - 1 = Price of Bagels
Price of Bagels = $7.97
help !!!!!!!!!!! please
Missing side length of the given measures of the triangle is equal to x = 1/2 units (approximately).
As given,
Given measures of the triangle ABC are
Angle A=(18 +18)°
=36°
Consider side opposite to ∠A=a ,∠B=b ,∠C=c
Given side length
AC=b
=20
AB=c
=12
BC=c
=x+12
Using cosine law
cos A= (b²+c²-a²)/2bc
⇒cos36°= [20²+12²-(x+12)²]/2(20)(12)
⇒(1+√5)/4=(544-x²-24x-144)/480
⇒x²+24x-280+120√5=0
⇒x²+24x-11.7=0
Now, x = [-24±√24²-4(1)(-11.7)]/2(1)
= (-24±24.955)/2
≈ (-24 ±25)/2
Hence, x = (-24+25) /2
= 1/2
or x = -24.5 side length cannot be negative.
Therefore, Missing side length of the given measures of the triangle is equal to x = 1/2 units (approximately).
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Add 0.74 and 0.19! How many tenths are in the sum?
Answer: 0.93
There are 9 tenths
Step-by-step explanation:
the angle of elevation to a nearby tree from a point on the ground is measured to be 45 degrees. How tall is the tree if the point on the ground is 79 feet from the tree? Round your answer to the nearest hundredth of a foot
The tree is 79 feet tall if the ground is 79 feet from the tree and the angle of elevation is 45°.
Angle of elevation:
The angle of elevation is an angle that is formed between the horizontal line and the line of sight.
Therefore, the line of sight is upward from the horizontal line, then the angle formed is an angle of elevation.
Given,
The angle of elevation to a nearby tree from a point on the ground is measured to be 45 degrees.
Here we need to find how tall is the tree if the point on the ground is 79 feet from the tree and we have also need to round the answer to the nearest hundredth of a foot.
Here we know that
The angle of elevation = 45°
Distance of the point from the tree = 79 feet
Suppose h is the height of the tree.
Then the value of h is calculated as,
=> h / 79 = tan 45°
We know that, the value of tan 45° = 1,
So,
=> h/79 = 1
Then the value of h is,
=> h = 79
Thus, the height of the tree is 79 feet.
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Isabelle's family raises honey bees and sells the honey at the farmers' market. To get ready for market day, Isabelle fills 24 equal sized jars with honey. She brings a total of 16 cups of honey to sell at the farmers' market. Use an equation to find the amount of honey each jar holds. To write a fraction, use a slash ( / ) to separate the numerator and denominator. cups
Answer:
2/3
Step-by-step explanation:
The amount of honey each jar holds is 2/3 cups.
Fraction
The fraction is termed as a portion or section of any quantity. It is denoted by using ‘/’ symbol, such as a/b. For example, in 5/8 is a fraction where the upper part denotes the numerator and the lower part is the denominator.
Given that:-
Number of equal sized jars filled by Isabelle = 24 jars
Total amount of honey brought by Isabelle to the sell at the farmer's market = 16 cups
We have to find the amount of honey each jar holds.
From the data given in the question, we can write,
24 jars = 16 cups
Hence, using the equation, we can write the fraction,
1 jar = (16/24) cups
1 jar = 2/3 cups
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Simplify: -2(3x – 2) -5(7 – x)
The simplified expression for the given algebraic expression -2(3x – 2) -5(7 – x) will be ( -x - 31)
As per the question statement, we are supposed to find the simplified expression for the given algebraic expression -2(3x – 2) -5(7 – x).
For solving the above expression, we should be having good knowledge of all mathematical operators and BODMAS.
Let y = -2(3x – 2) -5(7 – x)
y = -6x + 2*2 - 5*7 + 5x
y = -6x + 4 - 35 +5x
y = -x - 31
Therefore, the simplified expression for the given algebraic expression -2(3x – 2) -5(7 – x) will be y = ( -x - 31)
Algebraic Expressions: An expression constructed using integer constants, variables, and algebraic operations is known as an algebraic expression in mathematics (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)To learn more about the Algebraic Expressions click on the link given below:
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true or false each of these reparents proportional relations y= 3/4x
Answer: true
Step-by-step explanation:
What amount of pure acid must be added to 600 mL of a 50% acid solution to produce a 60% acid solution?
That indicates that in order to make a solution that is 60% acid, you will need to add a total of 300 milliliters of pure acid into the mixture.
This is further explained below.
What amount of pure acid must be added?In general, pure acid refers to an acid concentration of 100%. It is feasible to formulate the following equation if you assume that X represents the volume addition of the pure acid:
[tex]Va=100 \%X + 600 * 40 \%[/tex]
[tex]Va= (600+X)60 \% (M_1V_1=M_1 V_2)[/tex]
100X + 24000 = 36000 + 60x
X = 300.
In conclusion, That implies in order to generate a solution that is 60% acid, you will need to add 300 milliliters of pure acid.
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Represent the following sentence as an algebraic expression, where "a number" is the letter x. You do not need to simplify. The product of 7 and the square of a number.
Answer:
[tex]7 * x^2[/tex]
Which of the following statements must be true based on the diagram below? Select all that apply. (Diagram is not to scale.)
A. LN is a segment bisector
B. LN is an angle bisector
C. L is the vertex of a pair of congruent angles in the diagram
D. N is the vertex of a pair of congruent angles in the diagram
E. L is the vertex of a right angle
F. N is the vertex of a right angle
Answer: A
Step-by-step explanation:
A. True by the definition of a bisector.
B. False, this is an assumption based on appearances.
C. False, this is an assumption based on B.
D. False, this is an assumption that LN and JK are perpendicular.
E. False, assumption based on appeareances
F. False, assumption based on D.
Which graph Represents a function
The first graph from the right as shown in the reference image attached hereby alongside the question statement, represents a function.
As per the question statement, we are provided with 4 distinct graphs attached hereby alongside.
We are required to determine, which of the above-mentioned graphs represent a function.
To solve this question, we need to know about the characteristics of a function, which we can match against our provided graphs and identify our required function.
A function is an operator, and hence, there will be a fixed pattern or sequence among it's outputs, which we can only find in the first graph from the right as shown in the reference image, since it is a straight line parallel to the Y-axis at (x = 1).
Therefore, the first graph from the right as shown in the reference image attached hereby alongside the question statement, represents a function.
Function: In Mathematics, a function is an operator, which when provided with a certain input, performs a pre-determined set of operations on the input and then produces a fixed output.To learn more about Functions, click on the link below.
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24 in the ratio 1:2:3
Answer:
4:8:12
Step-by-step explanation:
To find the ratio of 24 in 1:2:3,
first add the ratios = 6 then divide each ratio as a fraction of the total
[tex] \frac{1}{6} \times 24 \\ = 4[/tex][tex] \frac{2}{6} \times 24 \\ = 8[/tex][tex] \frac{3}{6} \times 24 \\ = 12[/tex]Therefore, 24 in ratio 1:2:3 is 4:8:12
Sarita bought eggs at rupees 8.40 at what price per 100must she sell them so as to earn a profit of 15 percent
Answer:
Cost per egg = 8.4/12 = 0.7
Cost per hundred egg =Rs70
Let selecting price per hundred be Rs.y
⇒ 70/y-70 ×100 = 15
⇒ 10y−700 = 105
⇒ y = 80.5RsPLEASE HELP!!!!!!!!! WILL MARK BRAINLIEST IF CORRECT
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
A baseball coach takes her team out for pizza every time they win a game. Not everyone can come each time, so she orders the pizzas based on how many players are coming. After last week's victory, she bought 3 small pizzas and 4 large pizzas, the perfect amount for the 19 players going out for pizza. This week, there were 25 players going, so she ordered 5 small pizzas and 5 large pizzas, which was also just the right amount. How many people does each size of pizza feed?
Each small pizza feeds
people, and each large pizza feeds
people.
1 small pizza and 4 large pizza feeds people according to the system of equations.
Let the number of small pizza be x and the number of large pizza be y.
So, we get the two equations as:
3 x + 4 y = 19 ...(1)
5 x + 5 y = 25 ...(2)
Taking 5 common from equation 2, we get that:
x + y = 5
x = 5 - y
Put it in equation 1, we get that:
15 - 3 y + 4 y = 19
15 + y = 19
y = 4
x = 5 - 4 = 1
Therefore, we get that, 1 small pizza and 4 large pizza feeds people according to the system of equations.
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The points A, B and C are 3 corners of a rectangle. What are the coordinates of D, the 4th corner?
PLEASE HELP URGENTLY WILL MSRK BRAINLIEST! :D
Answer:
(5,7)
Step-by-step explanation:
Answer:
(5,7)
Step-by-step explanation:
Abscissa of D will be the abscissa of A. A(5,9)
Abscissa of D = 5
Ordinate of D will the ordinate of C. C(8,7).
Ordinate of D = 7
So, D(5,7)
For the first 4 home football games, the
concession stand sold 600 hotdogs. If
that ratio stays constant, how many
hotdogs will sell for all 10 home games?
Answer:
1500
Step-by-step explanation:
600 divided by 4 to see how much hotdogs are sold EACH home football game. This gives you 150 each game so you multiple it by ten in order to get the total for ten home games
1. f(x) = 3x² + 18x + 32
The zeroes of the equation f(x) is 3x² + 18x + 32 is x = -18 -7.75/ 6 and x = -18 + 7.75/ 6
What is polynomial?Algebraic expressions called polynomials include coefficients and variables. Indeterminates are another name for variables. For polynomial expressions, we can do mathematical operations like addition, subtraction, multiplication, and positive integer exponents but not division by variables.
Given f(x) = 3x² + 18x + 32
3x^2 + 18x + 32 = 0
Here, a = 3
b = 18
c = 32
-b ±[tex]\frac{\sqrt{b^2-4ac} }{2a}[/tex]
-18 ± [tex]\frac{\sqrt{18^2-4(3)(32)} }{2(3)}[/tex]
-18 ± [tex]\frac{\sqrt{324-84} }{6}[/tex]
-18 ± [tex]\frac{\sqrt{-60} }{6}[/tex]
-18 ± [tex]\frac{-7.75}{6}[/tex]
X = -18 (-7.75)/ 6 and x = -18 – (-7.75)/ 6
X = -18 -7.75/ 6 and x = -18 + 7.75/ 6
Therefore, the zeroes of the polynomial are X = -18 -7.75/ 6 and x = -18 + 7.75/ 6
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Estimate the area covered by the drum picture. Pls help thanks
Answer:
Step-by-step explanation:
Area = L times w ( length times width.)
Your lengthyot Length is 4 units and width is 4. so what is 4 times 4?
your right, its 16. Answer A is correct.
You bike 14 1/4
miles from your house to a state park. You travel 1/3
of that
distance in the woods. You bike along the bank of a stream for the last 1/2
of
the woods. On how many miles of your trip do you bike along the bank of
the stream?
By taking some products between fractions and mixed numbers, we will see that your trip along the bank has a length of (2 and 9/24) miles.
How many miles do you travel along the bank of the stream?Here we know that the total distance of the travel is (14 + 1/4) miles.
In this case, we know that 1/3 of that distance is traveled in the woods, so the total distance traveled in the woods is given by the product:
D = (1/3)* (14 + 1/4) mi = (14/3 + 1/12) mi
Now we know that 1/2 of the distance traveled in the woods is traveled along the bank of a strem, then the distance that we are looking for is given by the product:
D' = (1/2)*(14/3 + 1/12) mi = (7/3 + 1/24)mi
Now we can simplify that mixed number as:
(7/3 + 1/24)mi = (6/3 + 1/3 + 1/24) mi = (2 + 8/24 + 1/24)mi = (2 + 9/24) mi
Your trip along the bank of the stream has a length of (2 + 9/24) miles.
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What is the graph if the function rule y = x+2 ?
Answer: This is the graph
can u help me on b pleasee
a) By definition of standard form, a light-year is equal to 5.880 × 10¹² miles.
b) By simple rule of three, a magnitude of 4.25 light-year is equivalent to a magnitude of 2.499 × 10¹³ miles.
How to convert miles to light-years and viceversa
In this problem we need to convert a magnitude in miles to an equivalent magnitude in light-years and another magnitud in light-years to an equivalent magnitude in miles. Standard form is a notation used to represent both large and small number with no significant loss of precision. This form is described by the following form:
a.b × 10ⁿ
Where:
a - Whole number between 0 and 10.b - Significant decimalsn - Order of magnitudea) A light-year is equal to 5.880 × 10¹² miles.
b) The equivalent magnitude in miles is found by the following simple rule of three:
x = 4.25 ly × (5.880 × 10¹² mi / ly)
x = 2.499 × 10¹³ mi
A magnitude of 4.25 light-year is equivalent to a magnitude of 2.499 × 10¹³ miles.
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PLEASE I NEED HELPNSMKSJSBW
Check the picture below.
[tex]\stackrel{\measuredangle U}{(3x-4)}~~ + ~~\stackrel{\measuredangle V}{(x+20)}~~ + ~~\stackrel{\measuredangle W}{(6x+6)}~~ = ~~180 \\\\\\ 10x+22=180\implies 10x=158\implies x=\cfrac{158}{10}\implies {\Large \begin{array}{llll} x=\cfrac{79}{5} \end{array}}[/tex]