Answers
Answer:
Option A shows the image of RST after the rotation
Step-by-step explanation:
Coordinates of S=(1,3)
Coordinates of R = (-2,1)
Coordinates of T = (-1,7)
We are given that after rotation(x,y)→(y,-x)
So, The new coordinates after rotation will be :
Coordinates of S'=(3,-1)
Coordinates of R'= (1,2)
Coordinates of T'= (7,1)
These are the coordinates of triangle of Option A
So, Option A is true .
Hence Option A shows the image of RST after the rotation
A. shows the image of RST after the rotation.
In the geometry, an equilateral triangle is the triangle in which have all 3 sides have same length. an equilateral triangle is also equiangular; that is, all 3 internal angles are also congruent to each other and are each 60 degrees It is also a regular polygon, so it is also referred to as the regular triangle.
Which plane does the triangle RST belong to?
The XY-coordinate plane or triangle RST are equilateral. Points R or In the x y -coordinate plane, triangle R S T is equilateral. Points R and T had coordinates ( 0, 2) and ( 1, 0), respectively.
Coordinates of S=(1,3)
Coordinates of R = (-2,1)
Coordinates of T = (-1,7)
We are given that after rotation(x,y)→(y, -x)
So, The new coordinates after the rotation will be :
Coordinates of S'=(3,-1)
Coordinates of R'= (1,2)
Coordinates of T'= (7,1)
These are the coordinates of the triangle of Option A
So, Option A is true.
Hence Option A shows the image of RST after the rotation.
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Related Questions
The number one is an example of an element in the set of natural numbers true or false
Answers
sin(Sin^-1 x) = x for -1
Please select the best answer from the choices provided
True?
False?
Thanks!
Answers
Answer:
True
Step-by-step explanation:
Please help ! I really don’t understand:((
Answers
Answer: B
Step-by-step explanation:
just took that
Answer:
the answer is B
Step-by-step explanation:
Given the following exponential function, identify whether the change represents growth or decay, & determine the percentage rate of increase or decrease
y = 250 (1.078) ^x
Answers
Answer:
The exponential function represents growth, the percentage rate of increase is 7.8 %
Step-by-step explanation:
Please see the attachment.
The exponential function represents growth, the percentage rate of increase is 7.8 %
guys can you please factor this out for me
21a+8xy^3 −24y^2−7axy
Answers
Answer:
(7 a - 8y^2) x (3-y)
Step-by-step explanation:
21a+8xy^3 −24y^2−7axy
factor out 3 from the expression
3( 7 a - 8 y^2) + 8y^3 - 7 a y
3(7 a - 8 y^2) - y x (-8y^2 + 7 a)
Factor out 7 a - 8y^2 from the expression
(7 a - 8y^2) x (3-y)
= (7 a - 8y^2) x (3-y)
32/34 Marks
Show that 155 can be expressed as the sum of a power of 2
and a cube number.
Answers
Answer:
[tex] 155 = {2}^{7} + {3}^{3} [/tex]
Step-by-step explanation:
[tex] \because \: 155 = 128 + 27 \\ 128 = {2}^{7} \: \: and \: \: {3}^{3} \\ \\ \huge \red{ \boxed{ \therefore \: 155 = {2}^{7} + {3}^{3} }}[/tex]
Expand the brackets and solve
3(2x+1)=x-7
Answers
6x+10=x
10=-5x
-2=x
What is the awnser to(3+4)x6
Answers
Answer:
42
Step-by-step explanation:
(7)x6
42
Answer:
42
Step-by-step explanation:
Remember:
P arenthesess
E xponent
M ultiplictaion
D ivision
A ddition
S ubtraction
First,
3 + 4 = 7
Then,
7 x 6 = 42
Have a good day. :)
Hope this helps!
(brainliest would be appreciated)
Two triangles are similar. The sides of one are three times as long as the sides of the other. What is the ratio of the areas of the smaller to the larger?
Answers
Answer:
1 : 9
Step-by-step explanation:
Given 2 similar figures with sides in ratio a : b , then
ratio of areas = a² : b²
Here the ratio of sides = 1 : 3 , thus
ratio of areas = 1² : 3² = 1 : 9
The ratio of the areas of the similar triangles is 1 : 9
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ΔABC
Let the second triangle be represented as ΔDEF
And , they are similar triangles
Now , the sides of one are three times as long as the sides of the other
Let's call the sides of the smaller triangle a, b, and c, and the sides of the larger triangle 3a, 3b, and 3c. Then we know that:
a : 3a = b : 3b = c : 3c
Simplifying this, we get:
1 : 3 = 1 : 3 = 1 : 3
This means that the corresponding sides of the two triangles are in a ratio of 1:3
Now, let's use the formula for the area of a triangle:
A = ( 1/2 ) x base x height
The base and height of the two triangles are also in a ratio of 1:3, so the ratio of their areas is:
(1/2) x 1 x 1 : (1/2) x 3 x 3
So , the ratio is 1 : 9
Hence , the ratio of the areas of the smaller triangle to the larger triangle is given by 1 : 9
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For how many teachers are both p Ar true and q false?
The diagram represents three statements about teachers:
p.9, andr
2.
OOOO
9
5
GA
7
9
2.
9
4.
6
Mark this and retum
Save and Exit
Next
Submit
Answers
Answer:
C. 5
Step-by-step explanation:
Believe in me
If the 30/8 give me 3 6/8 explain to me how did I get 3 6/8 please
Answers
Answer:
See explanation.
Step-by-step explanation:
The question is not very clear, but I am assuming that you are asking how to get from 30/8 to 3 6/8
This is a mere simplification problem. We have simplified 30/8 into 3 6/8.
To start, let's check out the multiples of 8 that are less than 30
8, 16, 24. We want the largest multiple, 24. here we have
[tex]\frac{24}{8} + \frac{6}{8}[/tex]
Simplify 24/8 into 3.
Now you're done!
3 6/8!
What does pi equal??
WILL GIVE BRAINLIEST!!!!!!!!:)
Answers
Answer:
The digits go on for infinity (3.14159. . .), but the simplified version is equal to 3.14.
Step-by-step explanation:
PLZ HELP ME I WILL MARK BRAINLIEST AND GIVE POINTS
x/3 -2y = 14
2x + 6y = -6
Given the equations what is the value of x-y?
PLZ HELP WILL MARK BRAINLIEST
Answers
Answer:
17
Step-by-step explanation:
Based on the 2nd equation, it seems that x=-3-3y. I got that by subtracting both sides by 6y and then dividing both sides by 2. Now substitute that in place of x in the first equation. (-3-3y)/3-2y=14. Simplify that and get -1-y-2y=14. Add 1 to both sides and simplify. You get -3y=15. Divide both sides by -3 and get y=-5. Now substitute -5 into the equation for x. x=-3-3(-5)
x=-3+15=12
So x=12 and y=-5. Now do 12-(-5)=12+5=17
a ferris wheel with a 40-ft diameter rotates once every 30 seconds. the bottom of the wheel is located 1.5 feet above the ground. you get on at the very bottom of the ferris wheel at time t = 0 and then the ferris wheel begins to turn counter-clockwise. for the problems below, assume the wheel makes 2 full rotations.
a. at what times are you at the top of the ferris wheel? what is the height at the top of the ferris wheel?
b. at what times are you at the bottom of the ferris wheel? what is the height at the bottom of the ferris wheel?
c. at what times are you in the exact middle of the ferris wheel? what is the height of the exact middle of the ferris wheel?
d. write a cosine function to model your height above the ground over time, t.
Answers
Answer:
Step-by-step explanation:
Let y = -A cos B(t -c) + D
A, amplitude = 20ft
Period = 2π / B ( B = π / 15)
= 30
c = 0
Vertical shift D = 21.5 ft
Equation becomes
[tex]y= -20 \cos \frac{\pi}{15}( t-0)+21.5[/tex]
[tex]\to y=-20\cos \frac{\pi}{15} t+21.5[/tex]
a) Top of the ferris wheel is
t = 15sec, 45sec, height = 41.5ft
b) At the bottom of the ferris wheel
t = 0, 30sec, 60 sec
height = 1.5ft
c) Exact middle of the ferris wheel
t = 15/ 2 = 7.5sec, 22.5sec, 37.5sec, 52.5sec
d) [tex]f(t) or h = -20 \cos (\frac{\pi}{15} t)+21.5[/tex]
please help!
Will Mark Brainlest!
Answers
Answer:
Scale factor could be calculated by the ratio of a pair of corresponding sides:
Here, select the top sides, scale factor = 44/22 = 2
Hope this helps!
:)
Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!!!
Answers
Answer:
f(x) = x^2 - 2x + 12
Step-by-step explanation:
the f(x) equation has a y-intercept of 12 because f(x)=x^2 - 2x has a y-intercept of 0 and the + 12 at the end shifts the function up 12 units putting the y-intercept at (0,12) while on the graph of the function g(x) it intercepts the y-axis at (0,1).
6a - 4b = 6b + 2a
solve for a
Answers
Answer:
[tex]a = \frac{5}{2}b[/tex]
Step-by-step explanation:
6a - 4b = 6b + 2a
Combine like terms:
6a - 2a - 4b = 6b (Subtract '2a' from both sides)
4a = 6b + 4b (Add '4b' to both sides)
4a = 10b
[tex]a = \frac{5}{2}b[/tex] (Divide both sides by 4)
Therefore, when simplified, [tex]a = \frac{5}{2}b[/tex].
For which function defined by a polynomial, are the zeros of the polynomial -2 and -7?
Answers
Answer:
Step-by-step explanation:
f(x)=a(x+2)(x+7)=a(x²+2x+7x+14)
or f(x)=a(x²+9x+14)
it has zeros as -2 and -7.
What is the equation of the line, in point-slope form, that passes through the points (-7, -10) and (-6, -8)?
Answers
Answer:
not sure if that is the Answers
The equation of a line is y = mx where m is the slope. That line passes through the origin. If you want it to pass through some point (a, b) you subtract the coordinates like this: y - b = m (x - a). That is the point-slope form, and you can rewrite it in other forms if it is convenient. You may do this with any point on the line.
Step-by-Answers
the altitudes of a triangle intersect at the______
Answers
Answer:
the altitudes of a triangle intersect at the "orthocenter".
Step-by-step explanation:
The orthocenter is the point where the three altitudes of a triangle meet if the triangle is acute.
what is the inverse of the function f(x)=2x-10 ?
Answers
Answer:
1/2x +5
Step-by-step explanation: Right answer
Answer:
[tex]f^{-1} (x)=\frac{x+10}{2}[/tex]
Step-by-step explanation:
[tex]f(x)=2x-10[/tex]
[tex]y=2x-10[/tex]
[tex]y+10=2x[/tex]
[tex]\frac{y+10}{2}=x[/tex]
[tex]\frac{x+10}{2}=y[/tex]
[tex]\frac{x+10}{2}=f^{-1} (x)[/tex]
Hassan writes an algebraic expression with four terms. The x-term has a coefficient of 2, and the z-term has a coefficient of -1. The expression has a constant term less than zero. Which expression could he have written? 2 x + z + 5 minus 6 z squared
2 x minus z minus 5 + 2 z squared
Negative 2 x minus z minus 5 + 2 z squared
Negative 2 x + z minus 5 + 2 z
squared
Thank you in advice
Answers
[tex]2x - z - 5 + {2z}^{2} [/tex]
Step-by-step explanation:
The coefficient of x is 2= 2x
the coefficient of z is -1 which is = (-1)z= -z
the constant term is less than zero which means that the constant term is a negative number.
so the answer becomes
[tex]2x - z - 5 + {2} { (- 1)}^{2} [/tex]
which is =2x-z-3
Answer:
2 x minus z minus 5 + 2 z squared
Step-by-step explanation:
There are some oranges and apples in a box.
The total number of oranges and apples is 54
The ratio of the number of oranges to the number of apples is 1:5
Work out the number of apples in the box.
Answers
Answer:
45
Step-by-step explanation:
The total amount of oranges and apples in the box are 54.
54/(1+5)
54/6
= 9
Oranges to apples is in the ratio 1:5
1×9 : 5×9
9 : 45
The number of oranges in the box are 9.
The number of apples in the box are 45.
Answer:
45 apples and 9 oranges
Step-by-step explanation:
Total = 54
Ratio = 1:5
Total Parts = 1+5 = 6
Oranges:
=> [tex]\frac{1}{6} * 54[/tex]
=> 1*9
=> 9 oranges
Apples:
=> [tex]\frac{5}{6} * 54[/tex]
=> 5*9
=> 45 apples
cebOOK
Estimate the solution to the system of equations.
You can use the interactive graph below to find the solution.
y = -1 + 2
y = 3r -4
Answers
Answer:
r = 5/3
Step-by-step explanation:
Zachary is solving the following equation.
Three-fourths (x minus 8) = 12
Which is the best first step to begin to simplify the equation?
Answers
Answer:
look below
Step-by-step explanation:
first distribute 3/4 into (x-8)= 3/4x-6
3/4x-6=12
then add 6 to both sides to get rid of -6
3/4x=18
Now multiply 4 times 18 to get rid of division (72)
now you are left with 3x=72, so you now divide by 3 and you get x=24
Answer:
The correct answer is C
Kelsi has 48 books 2/6 of those books are fantasy and sci-fi .3/8 of those books are sci-fi . How many of kelsi’s books are sCI-fi
Answers
Answer:
We know that 2/6 * 48 = 16 books are fantasy and sci-fi. Of those, 16 * 3/8 = 6 books are sci-fi.
Answer:
[tex]6[/tex]
Step-by-step explanation:
[tex]\frac{2}{6} \times 48[/tex]
[tex]16[/tex]
[tex]16 \times \frac{3}{8}[/tex]
[tex]\frac{48}{8}[/tex]
[tex]=6[/tex]
Please answer correctly !!!!!! Will mark brainliest !!!!!!!!!! No explanation needed !!!
Answers
Answer: x = 2
Step-by-step explanation:
Answer:
x = ± 2
Step-by-step explanation:
Given
(x² + 4)² - 11(x² + 4) + 24 = 0
Use the substitution
u = x² + 4, then
u² - 11u + 24 = 0 ← in standard form
(u - 3)(u - 8) = 0
Equate each factor to zero and solve for u
u - 3 = 0 ⇒ u = 3
u - 8 = 0 ⇒ u = 8
Change u back into terms of x
x² + 4 = 8 ( subtract 4 from both sides )
x² = 4 ( take the square root of both sides )
x = ± [tex]\sqrt{4}[/tex] = ± 2
One value of x tat is a solution is x = 2
Among 120 people , 80 drink tea and 40 drink
coffee. 20 of them drink neither tea or coffee;
answer the following question with the help of
a venn-diagram
1.how many of them drink tea only
Answers
[tex]please \: see \: the \: attached \: picture \: for \: \\ full \: solution \\ hope \: it \: helps....[/tex]
You buy 3 new shirts for $17 each and 5 new pairs of pants for $12 each. You give the cashier $110. Which of the following is a good estimation of the change you will get back?
Answers
Answer:No change
Step-by-step explanation:
3*17=51 + 5*12=60
So 51+60=111. So in reality you would still need to pay $1.
Answer:
you still owe 1 dollar to the store
Olivia has $143 in the bank. She withdraws $40. Then she deposits &92. Write an addition expression to represent the situation. Then find the sum.
Answers
Answer & Step-by-step explanation:
Answer after you have shown organized work to get to the solution. 4. If you have ... content that you may have trouble with- search under 6th and 7th grade math. If you are ... Olivia has $143 in the bank. She withdraws. $40. Then she deposits $92. Write an addition expression to represent the situation. Then find the sum. 8