Answer:
it is b
Step-by-step explanation:
The solution is Option A.
The coordinates of the vertex A before the reflection across the line y = x is given by A = A ( 10 , -2 )
What is Reflection?Reflection is a type of transformation that flips a shape along a line of reflection, also known as a mirror line, such that each point is at the same distance from the mirror line as its mirrored point. The line of reflection is the line that a figure is reflected over. If a point is on the line of reflection then the image is the same as the pre-image. Images are always congruent to pre-images.
The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
Given data ,
Let the coordinates of the point A be A ( x , y )
Now , the vertex A is reflected over the line y = x
When you reflect a point across the y = x , the y-coordinate gets interchanged with x-coordinate. The reflection of point (x, y) across the line y = xis ( y , x )
So , the coordinates of the point A' ( -2 , 10 )
Now , the coordinates of the point A will be
A ( x , y ) = A ( 10 , -2 )
Therefore , the value of A is A ( 10 , -2 )
Hence , the coordinates of the point before reflection is A ( 10 , -2 )
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find x
give your answer to 3 significant fingers
Answer:
1.64
Step-by-step explanation:
Since this is a right triangle, we can use the Pythagorean theorem
a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse
6.6^2 + x^2 = 6.8^2
43.56+x^2=46.24
Subtract 43.56 from each side
x^2 = 46.24-43.56
x^2 =2.68
Take the square root of each side
sqrt(x^2) = sqrt(2.68)
x =1.637080554
To 3 significant digits
x = 1.64
Answer:
Step-by-step explanation:
x = 1.637 mm
Pythagorean theorem:We can use Pythagorean theorem, to find the unknown side for a right angled triangle.
The side opposite to 90 is the longest side and it is the hypotenuse.
Base² + altitude² = hypotenuse²
x² + 6.6² = 6.8²
x² + 43.56 = 46.24
x² = 46.24 - 43.56
x² = 2.68
x = √2.68
[tex]\sf \boxed{\bf x = 1.637 \ mm }[/tex]
PLS HELP ASAP!… WILL MARK BRAINLIEST
Which of the following are exterior angles? Check all that apply.
The exterior angles in the given triangle are angles 4 and 5.
What are the exterior angles?
The given shape is a triangle. A triangle is a three-sided polygon that has angles that sum up to 180 degrees. The exterior angle is the angle that is formed when a line is extended from the next side and the other side of the triangle. Simply put, it is the angle that is not inside the triangle.
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I need help with 7 and 4 and 9 also 10
I will give the most higher points I got
A total of 388 tickets were sold for the school play they were either adult tickets or student tickets the number of student tickets sold was three times the number of adult tickets sold how many adult tickets were sold
Answer:
97
Step-by-step explanation:
Number of adult tickets = a.
Number of student tickets = s.
"A total of 388 tickets were sold"
a + s = 388
"the number of student tickets sold was three times the number of adult tickets sold"
s = 3a
a + s = 388
s = 3a
Substitute s in the first equation with 3a.
a + 3a = 388
4a = 388
a = 97
Answer: 97 tickets
sally has 10 pounds she wants to buy 28 cans of soda which cost 26p each. how much money does she spend and does she have enough
Answer:
she will need 728 pounds to buy 28 cans but she only has 10 pounds so she doesn't even have enough for 1 can of soda
Find the volume of the sphere. Round your answer to the nearest tenth.
Answer:
Step-by-step expiation : 5575.3
Which of the following statements describe this sequence: 3, 6, 9, 12...?
I. This is an arithmetic sequence.
II. The expression used to find the nth term would be 3n.
III. The next term in the sequence is 36.
IV. The common ratio for this sequence is 3.
O I, II, III, and IV
O I, II, and IV
II and IV
I and II
The sequence is an arithmetic sequence and the expression used to find the nth term would be 3n option fourth I and II is correct.
What is a sequence?It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a sequence:
3, 6, 9, 12…
First term a = 3
Common difference d = 6 - 3 = 3
This is an arithmetic sequence.
nth term of the arithmetic sequence:
a(n) = 3 + (n-1)(3)
a(n) = 3n
Plug n = 5
a(5) = 3(5) = 15
Thus, the sequence is an arithmetic sequence and the expression used to find the nth term would be 3n option fourth I and II is correct.
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12. If angles of measures (x - 2)° and (2x + 5)° are a pair of complementary angles, find the measures of
those angles.
A) 57" and 123
O B) 27" and 63
OC) 50 and 40°
OD) 30 and 60
Answer: B
Step-by-step explanation:
The angles add to 90 degrees if they are complementary, so:
[tex]x-2+2x+5=90\\3x+3=90\\3x=87\\x=29[/tex]
So, the angles measure 29-2=27 degrees and 2(29)+5=63 degrees.
I need help asap!!!!!!!!!
Miguel Rodriguez borrowed $300 from his brother Julio to pay for books and tuition. He agreed to pay Julio in 6 months with simple annual interest at 6.9%
The amount of the interest with simple interest of 6.9% will be $ 10.35.
What is simple interest?Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.
Miguel Rodriguez borrowed $300 from his brother Julio to pay for books and tuition.
He agreed to pay Julio in 6 months with simple annual interest at 6.9%
Then the amount of the interest will be
Amount = P x R x T / 100
We have
P = $ 300
R = 6.9%
T = 6 months = 0.5 years
Then we have
P = (300 x 6.9 x 0.5) / 100
P = $ 10.35
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Find the solutions of each equation on the interval
(SHOW WORK)
im not in collage but I'll try ok so its most likely
Factor then solve to find the complex solutions.
x=2πn, for any integer n
if i was right could i get brainly?
At time t=0 a woman tosses an apple straight up into the air. At time t= 0.5, it begins to fall back to her hand. She catches the apple at t=1.0. Treat motion upward a positive. which of the follwong graphs could represent the motion of the apple?
The graph that could represent the motion of the apple is graph B.
What is a graph?A graph is a diagram showing the relation between variable quantities, typically of two variables, each measured along with one of a pair of axes at right angles.
Here, the speed of apple at time t is given by v=0 + at which is a straight line of slope a that passes through origin because constant is zero. At time t=0 its initial speed is 0 and it will increase constantly with time. Therefore, graph (B) is correct
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Write an expression to represent the given statement. Use n for the variable.
Help please and thank you
Answer: 9
Step-by-step explanation:
By the geometric mean theorem, [tex]\frac{x}[6} =\frac{6}{4} \longrightarrow x=\left(\frac{6}{4} \right)(6)=\boxed{9}[/tex]
Please help me with my math
I need the answer please
The graphed cosine function can either be:
cos(x + pi) or cos(x - pi).
Which is the equation of the graphed function?
We know that this function is a cosine function with a phase shift, so the general form is:
f(x) = cos(x + P).
Where P is the phase shift.
In the graph we can see that when x = 0, f(0) = -1
And we know that cos(pi) = -1 = cos(-pi)
Then we must have that:
f(0) = cos(P) = -1
By what we wrote above, we know that P can be either -pi or pi (because of the parity of the cosine). Let's say that P = pi, then the cosine function is:
f(x) = cos(x + pi).
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Choose the correct answer below:
A- A rate is just a different name for a ratio. The terms are interchangeable
B-a rate refers to the reduced form of a ratio
C-rates are a special type of ratio that always have a 1 in the denominator
D- rates are a special type of ratio used to compare different kinds of quantities
Answer:
C
Step-by-step explanation:
The answer would have to be C cus it can't be A or D
A company that produces and sells ceramic tiles for $41.78 per square foot has fixed weekly expenses of $7,210 and variable expenses of $14.79 for each square foot of tile. Determine the company's ROI if they are able to sell 1,265 square feet of tile per week. Round the final answer to the nearest hundredth. Show your work.
Answer:
103.9
Step-by-step explanation:
yes
Leonardo, who is married but files separately, earns $80,000 of taxable income. He also has $15,000 in city of Tulsa bonds. His wife, Theresa, earns $50,000 of taxable income.
If Leonardo and his wife file married filing jointly in 2021, what would be their average tax rate?
When Leonardo and his wife file married filing jointly in 2021, the average tax rate will be 15.63 percent
What is the tax rate about?In the question above, Leonardo's taxable income = $80,000
Theresa's taxable income = $15,000
Total taxable income for both of them will be:
$ 80,000 + $ 50,000 = $ 130,000
When you make use of the Schedule Y-1,
The amount of the tax on total income shall be said as:
Tax liability = $9,086 + (($130,000 - $78,950) * 22%)
= $9,086 +($51,050 * 22%)
= $9,086 + $11,231
= $ 20,317
To get the Effective tax rate, it will be:
= tax liability / Total taxable income Effective tax rate
= [tex]\frac{20,317}{30000}[/tex] that is also written as $20,317/ $130,000
So, the average tax rate is = 15.63%
Therefore, the average tax rate will be = 15.63 percent
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the number of keys on the keyring minus 2
Translating the given phrase into a variable expression is equal to k - 2.
What is a variable expression?A variable expression refers to a mathematical equation which can be used to show the relationship that exist between a numerical quantity and a variable.
Next, we would translate the given phrase into a variable expression as follows:
Let the number of keys on the keyring be k.
Therefore, the variable expression is equal to k - 2.
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Complete Question:
Translate the phrase into a variable expression. Use the letter k to name the variable. If necessary, use the asterisk (*) for multiplication and the slash (/) for division.
The number of keys on the keyring minus 2?
Erica earned a total of $67,250 last year from her two jobs. The amount she earned from her job at the store was $1,250 more than three times the amount she earned from her job at the college. How much did she earn (in dollars) from her job at the college?
Step-by-step explanation:
x = earnings from the store
y = earnings from the college
x + y = 67,250
x = 3y + 1,250
now we use the identity of the second equation in the first equation :
(3y + 1,250) + y = 67,250
4y = 66,000
y = $16,500
x = 3y + 1,250 = 3×16,500 + 1,250 = 49,500 + 1,250 =
= $50,750
Which measure of central tendency is the most affected by outliers
Median
Mean
Midrange
Mode
(Is it the mean or midrange?)
Mean measure of central tendency is the most affected by outliers. Then the correct option is B.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean. The normal is alluded to as the number-crunching mean. It's the proportion of the number of genuine perceptions to the absolute number of perceptions.
Mean measure of central tendency is the most affected by outliers.
Then the correct option is B.
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The scatter plot below represents the weight of a bunch of
bananas based on the number of bananas in the bunch. A
trend line shows the relationship.
About how many pounds does the trend line predict that a bunch with 9 bananas will weight?
A. 3.0
B 4.0
C 3.5
D 4.5
Answer: B 3.0
Step-by-step explanation:
If F(x) = x-3, which of the following is the inverse of F(x)?
O A. F1(x) = x+ 3
B. F¹(x) = 3x
OC. F¹(x) = x-3
OD. F¹(x) = 3-x
Answer:
3-x is the inverse of f(x)=x-3
A rectangle measures 12 m by 14 m. If the width is decreased by 3 m and the length is increased by 4 m, how much would the area change?
Answer:
6 m²
Step-by-step explanation:
Original area :
12 × 14 = 168 m²
New area :
(12-3) × (14+4) =
9 × 18 = 162 m²
168 - 162 = 6
Area would change by 6 m²
I hope someone sees this!!! Can someone check my work please??
Hello there!
I will only explain the ones that do not appear correct to me. If you require further explanation, please let me know.
1] vertical
2] corresponding
-> These two angles are in corresponding places on points of the lines, so they are corresponding angles.
3] alternate interior
4] alternate exterior
-> These angles are on the "outside" of the parallel lines, and on "opposite" sides of the transversal. With this in mind, they are alternate exterior angles
5] same side interior
6] same side exterior
-> These angles are on the "outside" of the parallel lines, and on the same side of the transversal. With this in mind, they are same-side exterior angles
Given f(x) = x² + 4x - 3, find f(-3)
O -3
O -6
O 0
O 18
Answer:
f(-3) = -6
Step-by-step explanation:
f(x) = x^2 + 4x - 3
f(-3) means to put -3 in place of x and then do the calculation.
f(-3)
= (-3)^2 + 4(-3) - 3
= 9 - 12 - 3
= -3 - 3
= -6
First square -3, its 9. Then multiply -3 and 4, that's -12. Then add everything.
f(-3) = -6
How do I complete this?
Answer + Step-by-step explanation:
CE bisects AB
CE ⊥ AB
Then
CE is the perpendicular bisector of AB.
Therefore
CA = CB and DA = DB
…………………………………
we have :
CA = CB
DA = DB
CD is a common side of the two triangles ACD and BCD
Hence , ΔACD ≅ ΔBCD
⇒ ∠CAD ≅ ∠CBD.
The graph of the absolute value parent function, f(x) = |x, is stretched
orizontally by a factor of 3 to create the graph of g(x). What function is g(X)
Answer:
g(x) = 1/3 • |x|
Step-by-step explanation:
To stretch a parent function, you multiply by whatever you want to stretch it with. If you multiplied by 3, it would be a vertical stretch... if you multiplied by 1/3, it makes it horizontal.
Hope this helps!
A culture of bacteria has an initial population of 9300 bacteria and doubles every 3
hours. Using the formula P = Po 25, where Pt is the population after thours, P
is the initial population, t is the time i hours and d is the doubling time, what is the
population of bacteria in the culture after 10 hours, to the nearest whole number
Answer:
The approximate population of bacteria in the culture after 10 hours is 93,738.
Step-by-step explanation:
General Concepts:Exponential Functions.Exponential Growth.Doubling Time Model.Logarithmic Form.BPEMDAS Order of Operations:
Brackets.Parenthesis.Exponents.Multiplication.Division.Addition.Subtraction.Definitions:We are given the following Exponential Growth Function (Doubling Time Model), [tex]\displaystyle\mathsf{P_{(t)}\:=\:P_0\cdot2^{(t/d)}}[/tex] where:
[tex]\displaystyle\sf{P_t\:\:\rightarrow}[/tex] The population of bacteria after “t ” number of hours. [tex]\displaystyle\sf{P_0 \:\:\rightarrow}[/tex] The initial population of bacteria. [tex]\displaystyle{t \:\:\rightarrow}[/tex] Time unit (in hours). [tex]\displaystyle{\textit d \:\:\rightarrow}[/tex] Doubling time, which represents the amount of time it takes for the population of bacteria to grow exponentially to become twice its initial quantity. Solution:Step 1: Identify the given values.
[tex]\displaystyle\sf{P_0\:=}[/tex] 9,300. t = 10 hours. d = 3.Step 2: Find value.
1. Substitute the values into the given exponential function.
[tex]\displaystyle\mathsf{P_{(t)} = P_0\cdot2^{(t/d)}}[/tex]
[tex]\displaystyle\mathsf{\longrightarrow P_{(10)} = 9300\cdot2^{(10/3)}}[/tex]
2. Evaluate using the BPEMDAS order of operations.
[tex]\displaystyle\mathsf{P_{(10)} = 9300\cdot2^{(10/3)}\quad \Longrightarrow BPEMDAS:\:(Parenthesis\:\:and\:\:Division).}[/tex]
[tex]\displaystyle\sf P_{(10)} = 9300\cdot2^{(3.333333)}\quad\Longrightarrow BPEMDAS:\:(Exponent).}[/tex]
[tex]\displaystyle\sf P_{(10)} = 9300\cdot(10.079368399)\quad \Longrightarrow BPEMDAS:(Multiplication).}[/tex]
[tex]\boxed{\displaystyle\mathsf{P_{(10)} \approx 93,738.13\:\:\:or\:\:93,738}}[/tex]
Hence, the population of bacteria in the culture after 10 hours is approximately 93,738.
Double-check:We can solve for the amount of time (t ) it takes for the population of bacteria to increase to 93,738.
1. Identify given:
[tex]\displaystyle\mathsf{P_{(t)} = 93,738 }[/tex].[tex]\displaystyle\mathsf{P_0 = 9,300}[/tex].d = 3.2. Substitute the values into the given exponential function.
[tex]\displaystyle\mathsf{P_{(t)} = P_0\cdot2^{(t/d)}}[/tex]
[tex]\displaystyle\mathsf{\longrightarrow 93,378 = 9,300\cdot2^{(t/3)}}[/tex]
3. Divide both sides by 9,300:
[tex]\displaystyle\mathsf{\longrightarrow \frac{93,378}{9,300} = \frac{9,300\cdot2^{(t/3)}}{9,300}}[/tex]
[tex]\displaystyle\mathsf{\longrightarrow 10.07936840 = 2^{(t/3)}}[/tex]
4. Transform the right-hand side of the equation into logarithmic form.
[tex]\boxed{\displaystyle\mathsf{\underbrace{ x = a^y}_{Exponential\:Form} \longrightarrow \underbrace{y = log_a x}_{Logarithmic\:Form}}}[/tex]
[tex]\displaystyle\mathsf{\longrightarrow 10.07936840 = \bigg[\:\frac{t}{3}\:\bigg]log(2)}[/tex]
5. Take the log of both sides of the equation (without rounding off any digits).
[tex]\displaystyle\mathsf{log(10.07936840) = \bigg[\:\frac{t}{3}\:\bigg]log(2)}[/tex]
[tex]\displaystyle\mathsf{\longrightarrow 1.003433319 = \bigg[\:\frac{t}{3}\:\bigg]\cdot(0.301029996)}[/tex]
6. Divide both sides by (0.301029996).
[tex]\displaystyle\mathsf{\frac{1.003433319}{0.301029996} = \frac{\bigg[\:\frac{t}{3}\:\bigg]\cdot(0.301029996) }{0.301029996}}[/tex]
[tex]\displaystyle\mathsf{\longrightarrow 3.3333333 = \frac{t}{3}}[/tex]
7. Multiply both sides of the equation by 3 to isolate "t."
[tex]\displaystyle\mathsf{(3)\cdot(3.3333333) = \bigg[\:\frac{t}{3}\:\bigg]\cdot(3)}[/tex]
[tex]\boxed{\displaystyle\mathsf{t\approx10}}[/tex]
Hence, it will take about 10 hours for the population of bacteria to increase to 93,378.
__________________________________
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