The image point of P(x,y) = (-6, - 4) after applying a transformation is,
P'(x,y) = (-5, - 10).
In geometry, a rigid transformation is a transformation applied onto a geometric object such that Euclidean distance in every point of it is conserved. Translations are examples of rigid transformations and are defined by this formula:
P'(x,y) = P(x,y) + T(x,y) (1)
Where:
P(x,y) - Original point
T(x,y) - Translation vector
P'(x,y) - Image point
If we know that P(x,y) = (-6, - 4) and T(x,y) = (- 4, - 1), then the image point is:
P'(x,y) = (-6, - 4) + (- 4, -1)
P'(x,y) = (-10, - 5)
Thus, The image point of P(x,y) = (-6, -4) after applying a rotation about y = - x is,
P'(x,y) = (- 5, - 10).
To know more about transformation follow
brainly.com/question/4289712
#SPJ1
Compare using <, >, or =. 72 ___ 26
Answer:
72 > 26
Step-by-step explanation:
72 is bigger than 26
BRIANLY FOR THE BEST EXPLANATION AND ANSWER!
Question: A circle has an area of 16mm². Find it's circumference.
Answer:
C ≈ 14.18
Step-by-step explanation:
Question Given:
A circle has an area of 16mm². Find it's circumference.
Formula:
C = 2√πA
Solve:
C = 2√πA
C = 2√(3.14 × 16)
C = 2√50.24
C = 14.1760361173
C ≈ 14.18
Hence, Circumference is approximately 14.18.
~Kavinsky
\({ \qquad\qquad\huge\underline{{\sf Answer}}} \)
Here we go ~
Area of Circle :
\(\qquad \sf \dashrightarrow \: \pi {r}^{2} \)
Now, it's given that area of circle is : 16 mm²
Let's calculate Radius ~
\(\qquad \sf \dashrightarrow \: \pi {r}^{2} = 16\)
\( \qquad \sf \dashrightarrow \: {r}^{2} = \cfrac{16}{ \pi} \)
\(\qquad \sf \dashrightarrow \: r = \sqrt{ \cfrac{16}{ \pi} } \)
\(\qquad \sf \dashrightarrow \: r = { \cfrac{4}{ \sqrt{ \pi} } }\)
Now,
\(\qquad \sf \dashrightarrow \: circumference = 2\pi r\)
\(\qquad \sf \dashrightarrow \: c = 2 \pi \cfrac{4}{ \sqrt{ \pi} } \)
\(\qquad \sf \dashrightarrow \: c = 8 \sqrt{ \pi} \)
[ for approximate value take pi = 3.14 ]
\(\qquad \sf \dashrightarrow \: c = 8 \sqrt{3.14} \)
\(\qquad \sf \dashrightarrow \: c \approx 8 \times 1.77\)
\(\qquad \sf \dashrightarrow \: c \approx 14.18 \: \: mm\)
Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool. What is the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool?
Answer: -13
Step-by-step explanation:
The total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool will be 12 feet.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that Duncan is excited to begin diving lessons. He starts on the diving board, 5 feet above the surface of the pool. Then, Duncan dives off the board and ends up 7 feet below the surface of the pool.
Distance = 7 + 5
Distance = 12 feet
Therefore, the total distance from Duncan's start on the diving board to his lowest point beneath the surface of the pool will be 12 feet.
To know more about an expression follow
https://brainly.com/question/1237844
#SPJ5
Can you please help me
Answer:
-17 (I believe)
Step-by-step explanation:
If x = 64 then the first one is asking for the square root of 64 (8)
With y being 25 the second part of this problem is actually really easy, all its doing is getting the square root and then squaring it (doing nothing at all) so that would just be 25 which would make it
8-25 which would be -17
Draco steals and throws Neville's red ball straight up at 54 feet per second from about 7 feet above the ground. The ball's height in feet above the ground after tt seconds is given by
h(t)=â16t2+54t+7
How long does he have until the ball reaches the ground? seconds
Answer:
3.5
Step-by-step explanation:
The ball reaches the ground when \(h(t)=0\).
\(-16t^2+54t+7=0 \\ \\ 16t^2-54t-7=0 \\ \\ (8t+1)(2t-7)=0 \\ \\ t=-1/8, t=7/2 \\ \\ t>0 \implies t=3.5\)
Plz answer BRAINLIEST Choose the statement that is true of both triangles.
9514 1404 393
Answer:
A. Side lengths of 4 units and 2 units and a nonincluded angle of 30°
Step-by-step explanation:
Both triangles have sides marked 2 units and 4 units, but the angle is not between them. The angle is opposite the short side in one triangle (which will be a right triangle), and opposite the long side in the other triangle (which will be an obtuse triangle). The sides and angles of the two triangles will not have the same measures, and neither will have an angle of 100°.
The first description is appropriate:
Side lengths of 4 units and 2 units and a nonincluded angle of 30°
A group of rectangular prisms is shown.
= 1 cm3
Choose the three expressions that can be used to find the volume of the rectangular prisms.
A. 2 cm + 3 cm + 3 cm
B. 3 cm + 3 cm + 2 cm
C. 3 cm + 2 cm + 3 cm
✓ D. 3 cm x 2 cm x 3 cm
E. 2 cm x 3 cm x 3 cm
N F. 3 cm x 3 cm x 2 cm
Answer:
D, E and F
calculating the volume of regular bodies like prims works by multiplication alone.
you need some addition for surface area and for more complicated bodies that when the volume can't be calculated in one step
Find the principal needed now to get the given amount; that is, find the present value.
To get $600 after 4 years at 7% compounded monthly
The required present value needed now to get $700 after 4 years at 11% compounded monthly is $451.73.
To find the present value of $600 after 4 years at 7% compounded monthly, we can use the formula for compound interest:
Compound Interest =P(1+r/n)^rt
Substituting the given values, we get:
Compound Interest =600 (1+7/n)^4
Simplifying this equation, we get
P = 600 / 1.487
P = 451.73
Therefore, the present value needed now to get $600 after 4 years at 7% compounded monthly is $451.73.
Learn more about present value here:
brainly.com/question/17322936s
#SPJ1
a product p and six is wrtten as
Answer:
6p
Step-by-step explanation:
Answer: 6p
Explanation: The word "product" is a
keyword that tells us to use multiplication.
So your answer can be written as 6 · p or just 6p.
Don't write your answer as p6.
Even though it's technically correct, I would always put
the number before the variable as a matter of form.
a car manufacturing company was able to release 1860 units at the end of january based on records they were able to increase their sales by 45 units per month in what month their car sales reached 2310 units
Answer:
11th month which is November
Step-by-step explanation:
1860 + 45(m - 1) = 2310
1860 + 45m - 45 = 2310
1815 + 45m = 2310
45m = 495
m = 11
In month of November their car sales reached 2310 units.
Given that, a car manufacturing company was able to release 1860 units at the end of January based on records they were able to increase their sales by 45 units per month in what month their car sales reached 2310 units.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Let number of months be m.
So, 1860 + 45(m - 1) = 2310
⇒ 1860 + 45m - 45 = 2310
⇒ 1815 + 45m = 2310
⇒ 45m = 495
⇒ m = 11
Therefore, in month of November their car sales reached 2310 units.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
there is a cell phone tower in the field across from sabers house. if saber walks 50 feet from the tower and finds the angle of elevation from his position to the top of the tower to be 60 degrees, how tall is the tower
Answer: 86.6ft
Step-by-step explanation:
Here we can construct a triangle rectangle.
First, the height of the tower is one of the cathetus, and is the value that we want to find X. The distance between Saber and the tower is the other cathetus, and we know that it is 50ft. And this cathetus is adjacent to the angle of 60°.
Then we can use the relationship:
Tan(angle) = (opposite cathetus)/(adjacent cathetus)
Then: Tan(60°) = X/50ft.
Tan(60°)*50ft = 86.6ft = X
Then the height of the tower is 86.6ft
anyone have the answer?
Answer:
50.3 (rounded) I think? Could be wrong, however, it's what I got
Determine the net pay if gross pay was $546.54 and the following deductions were taken out. Federal tax $66.00, state tax
$21.86, Social Security $33.89, and Medicare $7.92.
Answer:
416.87, you subtract all from gross pay.
Step-by-step explanation:
546.54-66-21.86-33.89-7.92=416.87
<
Term 1 2021 MTH 1100 XTIB
=
Write this ratio as a fraction in lowest terms
80 minutes to 30 minutes
Answer:
8/11
3/11
Step-by-step explanation:
hope this helps!
5. Simplify: 2(4X+3)-(7X+6)
6. Find the perimeter of the metallic sheet
below
n
6
3n
3n
5
7. Write an expression for the sum of on-
sixth of m and one-seventh of n, minus 7
8. Simplify 5-³ x 5⁴ x 2²
9. Find the L.C.M of 2x3², 2x3x7 and 2x3²x5
10. What is the place value of 4 in the number
2043507?
11. Find the G.C.F OF 18,42 and 90
Answer:
hshdjdjdjffhdiosekskskdkcjfiririrotr8tti5tittttit4i5i6i6832wy
San is currently three times Harry's age. Sam's age is also 10 more than twice Harry's age. the following systems of equation models this scenario. x=3y, x=10+2y
Step-by-step explanation:
so, what do we need to do ?
just solve these equations and find Sam's age (and Harry's) ?
x = 3y
x = 10 + 2y
so, we simply use the first equation in the second :
3y = 10 + 2y
y = 10
x = 3y = 3×10 = 30
Sam is currently 30 years old, Harry is 10.
3. To earn a weekly allowance, Neal has to average doing homework for at least 45 minutes each day for 5 days. This week, Neal has spent 26 minutes, 57 minutes, 33 minutes, and 41 minutes on homework so far. How much time will he have to spend on his homework on Friday to be able to earn his weekly allowance?
Answer:
Neal has to work 68 more minutes
Step-by-step explanation:
Hey there!
In order to find the answer to this question, we must first find the average amount of work he as done so far.
He has spent 26, 57, 33, and 41 minutes so far on homework
In total, he has worked 157 minutes in total
Now to find how much more minutes he has to do, we need to subtract the total amount of minutes he has to do all week and the amount of time he has already worked
In this case, Neal has to work at least 225 minutes in 5 days and he already did 157 minutes of work
Now we subtract:
225 - 157 = 68
This means, Neal has to work 68 more minutes to have an average of 45 minutes each day for 5 days
i need help can someone help me
The value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.
What is trigonometric ratios?The trigonometric ratios is concerned with the relationship of an angle of a right-angled triangle to ratios of two side lengths.
The basic trigonometric ratios includes;
sine, cosine and tangent.
Considering the sine of angle 41°
sin 41° = 2.5/x {opposite/hypotenuse}
x = 2.5/sin 41° {cross multiplication}
x = 3.8106
Therefore, the value of the side labelled x is equal to 3.8 to the nearest tenth using the trigonometric ratio of sine.
Read more about trigonometric ratios here: https://brainly.com/question/3457795
#SPJ1
A school installs a ramp that will rest on a landing 2 feet high. The ramp is 24 feet long. According to building code, the ramp must not be greater than a 5° angle with the ground. What is the angle formed from the ground? Is the school in compliance with the building code? Group of answer choices
85degree; no
3degree; yes
5degree; yes
8degree; no
Hey there! I'm happy to help!
Our angle is facing the 2 foot high landing. This is the opposite side of the angle. We also have the ramp, which is the hypotenuse. The sine is the opposite over the hypotenuse. Since we have these two, we find the \(sin^-^1\) to give the the angle.
\(sin^-^1(2/24)=4.780191847....\)
This angle is about 5 degrees and it is in compliance with the building code because it is not greater than 5 degrees.
Have a wonderful day! :D
If LJK ~ PQN, find x.
Answer:
x = 33
Step-by-step explanation:
Given a= log 5 and b= log 11, express log 550 in terms of a and b.
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
\( log(550) = log(2 \times 5 \times 5 \times 11) = \\ \)
\( log(2) + log( {5}^{2} ) + log(11) = \)
\(1 - log(5) + 2 log(5 ) + log(11) = \\ \)
\(1 + log(5) + log(11) = \)
\(1 + a + b\)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
Answer:
log(a x b) = Log(550)
Step-by-step explanation:
Depends what question is asking
Log rule (So long as they have the same base)
Log(m) + Log(n) = Log(m x n)
Log(a) + Log(b) = Log(a x b)
Log(5) + Log(11) = Log(5 x 11)
=Log (550)
A Bakery made 423 sandwiches in one day. What is that number rounded to the nearest hundred sandwiches?
Answer: 400
Step-by-step explanation:
Diners frequently add a 15% tip when charging a meal to a credit card. What is the total amount charged if the cost of the meal, without tip, is $25? The total cost is $...
Given:
tip = 15%
Cost without tip = $25
The total amount charged would be:
\(=\text{ 115 \% of cost without tip}\)Hence:
\(\begin{gathered} =\text{ }\frac{115}{100}\text{ }\times\text{ 25} \\ =\text{ 28.75} \end{gathered}\)Answer: The total cost is $ 28.75
Piecewise linear relations
The required piecewise linear relations are f(x) = 4 if [0, 2), and f(x) = -2x + 8 if [2, 4).
What is a piecewise function?A piecewise-defined function (also known as a piecewise function or a hybrid function) is a function defined by multiple sub-functions, each of which applies to a different interval of the main function's domain (a sub-domain).
The graph is given in the question, as shown
f(x) = 2x + 4 if [-2, 0]
This the sub-function define between the interval [-2, 0].
f(x) = 4 if [0, 2)
This the sub-function define between the interval [0, 2).
f(x) = -2x + 8 if [2, 4)
This the sub-function define between the interval [2, 4).
Learn more about the piecewise function here:
https://brainly.com/question/12700952
#SPJ1
The sauce tasted weak, so she added onions and
spices to give it
1
2
3
4
virtue
zest
luster
purity
Find the missing number so that the equation has no solutions.
__x - 11 + 6x = 3x + 20
the answer for this equation is -3x
A golf instructor is interested in determining if her new technique for improving players’ golf scores is effective. She takes four (4) new students. She records their 18-hole scores before learning the technique and then after having taken her class. She conducts a hypothesis test. Player 1 Player 2 Player 3 Player 4 Mean score before class 83 78 93 87 Mean score after class 80 80 86 86 This is which of the following and Why? 1. a test of two independent means. 2. a test of two proportions. 3. a test of a single mean. 4. a test of a single proportion.
Answer:
A test of two independent means.
Step-by-step explanation:
The test above is comparing the two independent mean scores (mean before taking her class ; μ1 and mean score after taking her class, μ2. This two mean values are tested to ascertain if there exist any statistical difference between them. This differs from the proportion which is ecekuared by the ratio of success or failure. The single mean and single proportion test only has one group which its mean or proportion is tested.
The null and alternative hypothesis for two independent sample means may be expressed thus :
H0 : μ1 = μ2
Alternative hypothesis
H1 : μ1 ≠ μ2
Question 4! Need help
Identify the next number in the following sequence
25 49 97 ?
Select only one answer
- 124
- 171
- 139
- 193
Answer:
the correct answer is 193
Step-by-step explanation:
25×1-0=25
25×2-1=49
49×2-1=97
97×2-1=193
5 in thick slice is cut off the top of a cube resulting in a rectangular box that has volume 135in^3. find the side length of the original cube
The side length of the original cube is 8.90 inches
How to find the side length of the original cube?Let x be the side length of the original cube. After cutting off the top, the remaining rectangular box has dimensions of x-5, x-5, and x.
The volume of this rectangular box is:
(x-5)(x-5)(x) = x³ - 10x² + 25x
x³ - 10x² + 25x = 135
x³ - 10x² + 25x -135 = 0
Use cubic formula.
x =8.90
Therefore, the side length of the original cube is 8.90 inches
Learn more about volume of cube on:
brainly.com/question/1972490
#SPJ1