(–4, 3) (4, –3) (–3, –4) (3, 4)
this is a rather simple yet complex concept the easiest way to solve these is to do the exact opposite.
so in this instance it is refrcted across the y-axiss so we swap ONLY the x value NOT the Y ie (-4,3) would switch to (4,3)
same thing would apply if it reflected across x-axis ex (-4,-3)
If it reflect across orgin you change both signs. ex (4,-3)
ie.
(–4, 3) (4, –3) (–3, –4) (3, 4)
changes to
(4, 3) (-4, –3) (3, –4) (-3, 4)
hope it helps
The coordinates of the image of vertex R after a reflection across the y-axis is (3, 4).
What is reflection?A reflection is an involution: when applied twice in succession, every point returns to its original location, and every geometrical object is restored to its original state.
Given is a point R = (-3, 4) we need to find the coordinates of the point R after it being reflected over y-axis,
So, we know that,
When dealing with reflection of a line or shape or a figure in the coordinate plane, especially if it is reflected across the y-axis, you just have to give the opposite of the given (original) x- coordinate in order to give a symmetric figure.
The rule of reflection over y-axis is =
(x, y) = (-x, y)
So,
R = (-3, 4), after it being reflected over y-axis =
R' = (3, 4)
Hence the coordinates of the image of vertex R after a reflection across the y-axis is (3, 4).
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What is the solution of
A. x = 0
B. x = 16 and x = 0
C. x = 16
D. x = 16 and x = 1
Yo sup??
we can simply try option verification for this problem.
when x=0 we get,
1 and 1≠5 therefore x=0 is not a solution.
when x=1 we get
√6-1≠5 therefore x=1 is not a solution.
when x=16 we get
9-4=5 therefore x=16 is a solution
Hence the correct answer is option C
Hope this helps.
A 40% dye solution is to mixed with a 53% dye solution to get 260L of a 50% solution. How many liters of the 40% and 50% solutions will be needed
From given,
Final solution is 260 liter
Let x be the liters of 40 % dye solution
Then, (260 - x) is the liters of 53 % dye solution
Therefore, according to question,
x liters of 40 % dye solution is mixed with (260 - x) liters of 53 % dye solution to get 260 liters of 50 % dye solution
Thus we frame a equation as:40 % of x + 53 % of (260 - x) = 50 % of 260
Solve for "x"
[tex]\frac{40}{100} \times x + \frac{53}{100} \times (260-x) = \frac{50}{100} \times 260\\\\0.4x+ 0.53(260-x) = 0.5 \times 260\\\\0.4x + 137.8 - 0.53x = 130\\\\0.13x = 137.8 - 130\\\\0.13x = 7.8\\\\Divide\ both\ sides\ by\ 0.13\\\\x = 60[/tex]
Thus 60 liters of 40 % dye solution is used
Then, (260 - x) = 260 - 60 = 200
Thus 200 liters of 53 % dye solution is used
Which expression is 5 times as much as the sum of r and s?
A) 5 × r + s
B) 5 + r + s
C) r + s × 5
D) (r + s) × 5
The option (D) (r + s) × 5 is correct if the expression is 5 times as much as the sum of r and s.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have a statement about the expression:
The expression is 5 times as much as the sum of r and s
We can frame the expression as follows:
= 5(r + s)
or
= (r + s) × 5
Thus, the option (D) (r + s) × 5 is correct if the expression is 5 times as much as the sum of r and s.
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Solve the equations to find the number and type of solutions.
The equation 8 - 4x = 0 has
real solution(s).
DONE
Answer:
One real solution (which is x = 2)
Step-by-step explanation:
8-4x = 0
8 = 4x
8/4 = 2
x=2
Can be solved with no different solution
The triangles are simliar by the:
show work please for brainlist
Step-by-step explanation:
BOTH TRIANGLES ARE SIMILAR BY THE AA SIMILARITY POSTULATE.
In first triangle:
Remaining angle = 180° - (70° + 30°)= 80°
In second triangle:
Remaining angle = 180° - (80° + 30°)= 70°
Hence, all the angles of first triangle are congruent to the corresponding angles of the second triangle.
Thus, both the triangles are similar by
THE AA SIMILARITY POSTULATE
kim was solving a problem using Six steps first she read the problem then she wrote down the facts and figures next she knew she had to find a
Answer:
an equations which can be used to find the answer.
Answer: must be found.
Step-by-step explanation:
The perimeter of a standard-sized rectangular rug is 36 ft. The length is 2 ft longer than the width. Find the dimensions
What is the width?
What is the length?
Answer:
Step-by-step explanation:
let x be the width.
length = x +2
Perimeter = 36 ft
2*( x +2 + x ) =36
2x + 2 = 36/2
2x + 2 = 18
2x = 18 -2 = 16
x = 16/2
x = 8 ft
Width = 8 ft
Length = 8 + 2 = 10 ft
Help please! The trapezium question!
Answer:
formula for sum of interior angles is (n-2)*180 - for a regular polygon
divide that by the number of sides
so 6-2 = 4*180 =720 degrees
720/6 = one angle(angle a) =120
Answer:
D. 120 degrees.
Step-by-step explanation:
We nee to find the measure of the interior angle in a regular hexagon.
The exterior angle = 360 / 6 = 60 degrees. ( In all convex polygons the sum of the exterior angles = 360 degrees).
So α = 180 - 60 = 120 degrees (adjacent angles add up to 180 degrees).
Which ordered pair is the best estimate for the solution to the system
Answer:
The best estimate of the solution ordered pair from the graph is [tex](\frac{1}{2},0)[/tex].
Step-by-step explanation:
See the attached graph to this question.
The graph of two straight lines are shown in the graph.
Now, the two straight lines intersect on the x-axis, so the solution ordered pairs should have y-value equals to zero.
But, there are two ordered pairs with y-value zero and they are [tex](\frac{1}{2},0)[/tex] and [tex](\frac{1}{3},0)[/tex].
The best estimate of the solution ordered pairs from the graph is [tex](\frac{1}{2},0)[/tex].
So, this is the solution. (Answer)
How many solutions does this equation have?
(15x + 21) / 3
= 5x + 7
Answer:
3*(5*x-7)-(15*x-21)=0
Step-by-step explanation:
3 • (5x - 7) - (15x - 21) = 0
Step 2 :
Equation at the end of step 2 :
0 = 0
Step 3 :
Equations which are always true :
Amir drove from Jerusalem down to Lowest Place on earth, the Dead Sea descending at a rate of 12 meters per minute he was at sea level after 30 minutes of driving. Graph the relationship between Aamir’s attitude relative to sea level in meters and time inminutes
Answer:
see below for a graph
Step-by-step explanation:
It is convenient to use a point-slope form of the equation of a line for graphing, since we know the slope is -12 m/min and the point is (30, 0) at sea level.
The horizontal axis is minutes; the vertical axis is meters above sea level. The graph cannot extend below -413 meters from sea level, as that is the lowest place on earth.
what is the y-intercept, and what does it represent?
Answer:
The y-intercept is where an equation's graph hits the y-axis. It represents the constant value, when x=0, the intercept is the constant
Step-by-step explanation:
The y-intercept indicates the vertical position where the line or curve intersects the y-axis
The y-intercept refers to the point where a line or curve intersects the y-axis on a graph.
It is the value of the dependent variable (y) when the independent variable (x) is equal to zero.
In the equation of a line in slope-intercept form (y = mx + b), where m represents the slope of the line and b represents the y-intercept, the y-intercept is the constant term (b).
The y-intercept represents the value of the dependent variable (y) when the independent variable (x) is not present or equal to zero.
It is the initial value or starting point of the function or graph.
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What is the average rate of change of the function g(x) = 3(2^x) - 6 over the interval [0,3]?
Final answer:
The average rate of change of the function g(x) = 3(2^x) - 6 over the interval [0,3] is 7. This is found by evaluating g(x) at x = 0 and x = 3 and then dividing the difference by the interval length.
Explanation:
Calculating Average Rate of Change
The average rate of change of a function over an interval is the change in the function's values divided by the change in the independent variable (often x) over that interval. For the function g(x) = 3(2^x) - 6 over the interval [0,3], we first find the values of g(x) at the endpoints of the interval: g(0) and g(3). We then use the formula for average rate of change:
[tex]\[\text{Average Rate of Change} = \frac{g(3) - g(0)}{3 - 0}\][/tex]
Let's compute:
g(0) = 3(2^0) - 6 = 3(1) - 6 = -3g(3) = 3(2^3) - 6 = 3(8) - 6 = 24 - 6 = 18Now we can substitute these values into the formula:
[tex]\[\frac{18 - (-3)}{3 - 0} = \frac{21}{3} = 7\][/tex]
So, the average rate of change of the function g(x) over the interval [0,3] is 7.
The total number of burgers sold from a restaurant from Monday to Sunday can be modeled by the function f(d)=200d^3 + 542d^2 + 179d + 1605 and the number of visitors to the restaurant from Monday to Sunday can be modeled by g(d)= 100d + 321, where d is the number of days since Monday. What is the average number of burgers per person?
Answer:
Average = 96
Step-by-step explanation:
Average = sum of terms/ number of terms
sum of terms = number of burgers sold
number of terms = number of visitors
d = number of days since Monday which is 7
burgers sold = 200d^3 + 542d^2 + 179d + 1605 substituting d with 7
burgers sold = 200(7)³ +542(7)² + 179(7) +1605
burgers sold =68600 + 26558 + 1253 + 1605
burgers sold =98016
number of visitors= 100d + 321
number of visitors= 100(7) + 321
number of visitors= 700+321
number of visitors= 1021
Average = 98016/1021
Average = 96
54 miles is 18% of how many miles?
Answer:
(set up a ratio)
54/x = 18/100
(cross multiply)
18x = 5400
(solve for x)
x = 300 miles
Step-by-step explanation:
The diagonals of a rhombus are 14 and 48 cm Find the length of a side of the rhombus
is 0.4562345 a rational number
Answer:
yes
Step-by-step explanation:
Answer:
no i believe its an irrational number
Step-by-step explanation:
1. Elana spent 45 minutes at the library, half an hour at the grocery
store, 20 minutes visiting a friend, and arrived home at 4:10 P.M.
What time did she leave home?
Answer:
2:25
Step-by-step explanation:
Answer:
Step-by-step explanation:
3:05
The function g(x)=8(4x) is reflected across the x-axis to create f(x).
On a coordinate plane, 2 exponential functions are shown. Function f (x) approaches y = 0 in quadrant 3 and decreases into quadrant 4. It crosses the y-axis at (0, negative 8). Function g (x) approaches y = 0 in quadrant 2 and increases into quadrant 1. It crosses the y-axis at (0, 8).
What is the equation of f(x)?
f(x)=8(4)x
f(x)=−8(4)x
f(x)=8
f(x)=−8
Answer:
It’s B if you dont want to read all that.
Step-by-step explanation:
The equation of f(x) is f(x) = -8(4x).
Explanation:The equation of the reflected function f(x) can be obtained by changing the sign of the coefficient of g(x), which is 8.
So, the equation of f(x) is f(x) = -8(4x).
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Point J(-2, 1) and point K(4, 5) form the line segment jk. for the point p that partitions jk in the ratio 3:7 what is the y coordinate of p
Answer:
[tex]\frac{11}{5}[/tex]
Step-by-step explanation:
Using the section formula
[tex]y_{P}[/tex] = [tex]\frac{3(5)+7(1)}{3+7}[/tex] = [tex]\frac{15+7}{10}[/tex] = [tex]\frac{22}{10}[/tex] = [tex]\frac{11}{5}[/tex]
-2k = k - 7 - 8 whats the answer
Answer:
−2k=k−7−8
−2k=k+−7+−8
−2k=(k)+(−7+−8)(Combine Like Terms)
−2k=k+−15
−2k=k−15
Step 2: Subtract k from both sides.
−2k−k=k−15−k
−3k=−15
Step 3: Divide both sides by -3.
−3k
−3
=
−15
−3
k=5
Step-by-step explanation:
Each side of the regular hexagon below has the same measure. A hexagon with side lengths of 2.5 feet. If a model of the hexagon is made by using a scale factor of 6, which applies to the model? Select two options.. The model represents a reduction. Each side of the model is 15 feet long. The model is proportional to the original hexagon. One side of the model can be 8.5 feet. The scale factor is divided by 2.5 to get the dimensions of the model.
Answer:
b.) each side of the model is 15 feet long
c.) the model is proportional to the original hexagon
Step-by-step explanation:
A hexagon with side lengths of 2.5 feet. If a model of the hexagon is made by using a scale factor of 6, which applies to the model?
a.) The model represents a reduction
b.) each side of the model is 15 feet long
c.) the model is proportional to the original hexagon
d.) one side of the model can be 8.5 feet long
e.) the scale factor is divided by 2.5 to get the dimensions of the model
really need help !!?????
Answer:
x = (150/360)(2π) = (5/6)π
$65 dress pants 20% discount
Answer:
52
Step-by-step explanation:
65 dollar is price so it has 20 percent discount so,
65× 20% = 13
so,
65- 13
52 dollars
Given that 2( -x + 4) = 3 , prove that x = 5/2.
Answer: proved
Step-by-step explanation:
-2x+8=3
-2x=3-8
-2x= -5
2x= 5
x=5/2
1. Is -7+9=-9+7 true, false, or open? (1 point)
O true
O false
open
Is Ay _ 3 = 19 true false or onen? noninti
Problem 1
-7+9 is the same as 9+(-7) or 9-7. All of which simplify to 2.
On the other hand, -9+7 is the same as 7+(-9) or 7-9, which simplifies to -2.
Therefore the equation -7+9 = -9+7 becomes 2 = -2, and we can see this is a false equation.
Answer: false========================
Problem 2
Your second question has some weird typo errors going on. Please update.
f the cube shown is 8 centimeters on all sides, what is the length of the diagonal, x, of the cube? (rounded to the nearest tenth)
A) 13.3 cm
B) 13.9 cm
C) 14.6 cm
D) 14.9 cm
Answer:
The length of the diagonal x is 13.9 cm
Step-by-step explanation:
Given:
Side of the cube = 8 centimetres
To Find:
The length of the diagonal = ?
Solution:
The length of the diagonal is = [tex]\sqrt{3}a[/tex]
where a is the side of the cube
On substituting the values
Diagonal x = [tex]\sqrt{3}(8)[/tex]
Diagonal x = [tex]1.73 \times 8[/tex]
diagonal x = 13.856
Diagonal x = 13.9 cm
Factor completely 81x^8-1
The complete factorized form for the given expression is [tex]\left(9 x^{4}+1\right)\left(3 x^{2}+1\right)\left(3 x^{2}-1\right)[/tex]
Step-by-step explanation:
Step 1: Given expression:
[tex]81 x^{8}-1[/tex]
Step 2: Trying to factor as a Difference of Squares
Factoring [tex]81 x^{8}-1[/tex]
As we know the theory that the difference of two perfect squares, [tex]A^{2}-B^{2}[/tex] can be factored into (A+B) (A-B)
from this, when analysing, 81 is the square of 9, [tex]x^{8}[/tex] is the square of [tex]x^{4}[/tex]. Hence, we can write the given expression as,
[tex]\left(9 x^{4}\right)^{2}-1^{2}[/tex]
By using the theory, we get
[tex]\left(9 x^{4}+1\right)\left(9 x^{4}-1\right)[/tex]
Again, we can further factorise the term [tex]\left(9 x^{4}-1\right)[/tex]
[tex]9 x^{4}[/tex] is the square of [tex]3 x^{2}[/tex]. Therefore, it can be expressed as below
[tex]\left(3 x^{2}+1\right)\left(3 x^{2}-1\right)[/tex]
Now, we can not factorise further the term [tex]\left(3 x^{2}-1\right)[/tex]. Because it will come as [tex]\sqrt{3} x[/tex] (3 is not a square term). Thereby concluding that the complete factorisation for the given expression is [tex]\left(9 x^{4}+1\right)\left(3 x^{2}+1\right)\left(3 x^{2}-1\right)[/tex]
Write the ratio as a fraction in simplest form.
1) 15 girls to 6 boys and question 2) 24 plays for 3 teams
Answer:
Part 1) [tex]\frac{5}{2}[/tex] or [tex]5:2[/tex]
Part 2) [tex]\frac{8}{1}[/tex] or [tex]8:1[/tex]
Step-by-step explanation:
Write the ratio as a fraction in simplest form
Part 1) 15 girls to 6 boys
we know that
To find out the ratio, divide the number of girls by the number of boys
so
[tex]\frac{15}{6}[/tex]
Simplify
Divide by 3 both numerator and denominator
[tex]\frac{5}{2}\ \frac{girls}{boys}[/tex]
Part 2) 24 plays for 3 teams
we know that
To find out the ratio, divide the number of plays by the number of teams
so
[tex]\frac{24}{3}[/tex]
Simplify
Divide by 3 both numerator and denominator
[tex]\frac{8}{1}\ \frac{plays}{team}[/tex]
Final answer:
To simplify the ratios 15 girls : 6 boys and 24 plays : 3 teams, find the greatest common factor and divide both parts of the ratio by it, resulting in the simplest forms rac{5}{2} and 8, respectively.
Explanation:
To write the ratios as fractions in simplest form for the given scenarios:
For the ratio of 15 girls to 6 boys, the fraction would be rac{15}{6}. To simplify, divide both the numerator and the denominator by their greatest common factor (GCF), which is 3. Thus, the simplest form is rac{15 \/ 3}{6 \/ 3} = rac{5}{2}.
For the ratio of 24 plays for 3 teams, the fraction is rac{24}{3}. Again, to simplify, divide both the numerator and the denominator by the GCF, which is 3 in this case. The simplest form is rac{24 \/ 3}{3 \/ 3} = rac{8}{1}, which can also be written simply as 8 since a denominator of 1 implies the value is a whole number.
A line intersects the points (0, -4) and
(1, 2). What is the slope-intercept
equation for this line?
y = [?]x+[
Equation is y = 6x - 4
Step-by-step explanation:
Step 1: Find the slope of the line using m = (y2 - y1)/(x2 - x1) Here x1 = 0, x2 = 1, y1 = -4, y2 = 2⇒ m = (2 - -4)/(1 - 0) = 6
Step 2: Find y-intercept, b. Since the line passes through (0, -4) b = -4Step 3: Form the slope-intercept equation⇒ y = 6x - 4