The set of transformation that has been performed on triangle ABC
to form triangle A'B'C' is " Dilation by a scale factor of 2 followed by
reflection about the x-axis " ⇒ 2nd answer
Step-by-step explanation:
Lets revise some important rules
The corresponding sides of similar triangles have constant ratio
Dilation makes a triangle and its image similar
Reflection about x-axis change the sign of the y-coordinate of a point after reflected about the x-axis
Δ ABC and Δ A'B'C are similar after set of transformations has been
performed on Δ ABC to form Δ A'B'C'
∵ The vertices of triangle ABC are:
A = (-2 , -1) , B = (0 , 0) , C = (1 , -3)
∵ The vertices of triangle A'B'C' are:
A' = (-4 , 2) , B' = (0 , 0) , C' = (2 , 6)
∵ x-coordinate of point A = -2 and x-coordinate of point A' = -4
∵ y-coordinate of point A = -1 and y-coordinate of point A' = 2
∵ x-coordinate of point B = 0 and x-coordinate of point B' = 0
∵ y-coordinate of point B = 0 and y-coordinate of point B' = 0
∵ x-coordinate of point C = 1 and x-coordinate of point C' = 2
∵ y-coordinate of point C = -3 and y-coordinate of point C' = 6
∵ Each coordinate of the vertices A , B , C is multiplied by 2 to give
the coordinates of the of the vertices A' , B' , C'
∴ Δ ABC is dilated by scale factor of 2
∵ The signs of y-coordinates of the vertices A , B , C is opposite to
the signs of y-coordinates of the of the vertices A' , B' , C'
∴ Δ ABC is reflected about the x-axis
The set of transformation that has been performed on triangle ABC
to form triangle A'B'C' is " Dilation by a scale factor of 2 followed by
reflection about the x-axis "
HELP!! ASAPP!! (NO LINKS) WILL MARK BRAINLIEST
Identify the trinomial that is NOT a perfect square.
A. 121x^2 + 100x + 25
B. 100x^2 + 60x + 9
C. 25x^2 + 70x + 49
D. 64x^2 + 48x + 9
ANSWER: C. 25x^2 + 70x + 49
Hope for help po
Solve the following:
one and two fourths plus three and three fourths
Answer:
5 and 1/4 is the answer to your problem
Step-by-step explanation:
Answer:
[tex]\frac{21}{4}[/tex] or [tex]5 \frac{1}{4}[/tex]
Step-by-step explanation:
[tex]1 \frac{2}{4} + 3 \frac{3}{4}\\[/tex]
First, I would convert them into improper fractions. To convert [tex]1 \frac{2}{4}[/tex], I would do 1 x 4 = 4, then + 2 = 6
To convert [tex]3 \frac{3}{4}\\[/tex] , I would do the same: 3 x 4 = 12 + 3 = 15
That leaves us with [tex]\frac{6}{4}[/tex] + [tex]\frac{15}{4}[/tex]
All we have to do is add the numerators (top numbers) so
6 + 15 = 21
Answer = [tex]\frac{21}{4}[/tex]
or, as a mixed number, [tex]5 \frac{1}{4}[/tex]
Hope this makes sense. If you require any further explanation, feel free to ask..
- profparis
If I helped you, I would appreciate a brainliest :D
Please help, Which statements about the graph are true? Choose all the true statements.
A.) The friends stopped for a break between hours 3 and 4.
B.) The friends hiked at a constant speed for the first 2 hours.
C.) The friends hiked at the maximum speed for 7 and 8.
D.) The friends hiked the least number of miles between hours 6 and 7.
E.) The friends hiked back toward the starting point between hours 3 and 4.
Answer:
I would say it's C
Step-by-step explanation:
trust the process
-
1. Show that the function g(x)- *52 is the inverse of f(x) = 5x+2.
Step 1: The function notation f(x) can be written as a variable in an equation. Is that variable xory?
Write f(x) = 5x + 2 as an equation with the variable you chose above. (2 points)
=
Step 2: Switch the variables in the equation from Step 1. Then solve for y. Show your work. (2 points)
Step 3: Find the inverse of g(x)= *52. What does this tell you about the relationship between f(x) =
5x + 2 and g(x)? Show your work. (3 points)
The table shows values that represent a function.
Answer:
f(x) and g(x) are inverses of each other
Step-by-step explanation:
To find the inverse of a function, swap the x's and y's and then solve for "y"
f(x) = 5x + 2
y = 5x + 2
Swap:
x = 5y + 2
-2 - 2
x - 2 = 5y
÷5 ÷5
find the value of each variable in the given parallelogram
Answer:
x=16, y=26, z=13
Step-by-step explanation:
opposite angles are congruent so (3x+30)=(4x+14)
Solve for x
x=16
adjacent sides are supplementary so insert x in both equations just to make sure it is correct and you get 78
so 3y=78 and 6z=78
solve for y and z
y=26, z=13
3. Megan earns $8.25 an hour and buys lunch For 6.50 each day.
Which expression represent the amount of money megan has left each day after working H hours and buying lunch?
A.8.25h
B.14.15h
C. 8.25 h - 6.50
D. 6.50h-8.25
Answer:
Option: C
Analysis:
— Each day earning = $8.25 x H hours
= 8.25 h
Now,
— buys lunch for 6.50
then,
— money left
= 8.25h - 6.50
9-18.
Thui wrote the following inequalities for a problem that she was solving: 2n-1<5 or 2n-1 > -5. Which of the following statements is
true? Homework Help
a. n >-3 or n <3
b. n 2-2 or n <3
C. > -3 or n <3
d. n > -2 or n <3
Answer:
D is the correct answer
Step-by-step explanation:
2n-1<5= n<3
2n-1>-5= n>-2
The table below gives the height h=f(t) in feet of a weight on a spring where t is time in seconds.
t (sec) 0 2 4 6 8 10 12 14 16 18 20 22 24 26 28 30
h (feet) 4.8 6.6 7.6 7.8 7.6 6.6 4.8 3 2 1.8 2 3 4.8 6.6 7.6 7.8
what is the period
Using it's concept, it is found that the period of the function is of 20 seconds.
What is the period of a function?The period of a function is given by the distance between it's repetitions.
In this problem, the function starts at 0s, with 4.8 ft, then in intervals of 2s, the heights are of 6.6 ft, 7.6 ft, 7.8 ft and so on. The same pattern starts again after 20 seconds.
Hence, the period of the function is of 20 seconds.
More can be learned about the period of a function at https://brainly.com/question/16818112
Thirty-four high school students were surveyed and asked how many siblings they have. The dotplot below displays the distribution of responses. A dotplot. A number line going from 0 to 8 is labeled Number of Siblings. 0, 3; 1, 5; 2, 9; 3, 9; 4, 3; 5, 3; 6, 1; 7, 0; 8, 1. What percent of students have fewer than 2 siblings? 9% 24% 26% 50%
Answer: B: 24%
Step-by-step explanation:
If two cars hit head on at 50 mph what is the force of the impact?
Answer:
100mph
Step-by-step explanation:
PLEASE HELP PLEASE HELP PLEASE
Answer:
D
Step-by-step explanation:
Well, the right edge is 1 line away from 6 so it is 5 15/16 inches.
There are 16 lines for each 1 line. so it is 5 inches and 15 lines out of 16
$300 today is worth MORE than $300 tomorrow.
False or true?
false if the prices increase tomorrow or true if the prices decrease.
so basically it's always uphill so false
hope it helps...!!!
ANSWER:
false
EXPLANATION:
Which type of function best models the data in the
table?
Sound Waves
Wavelength, *
© linear
exponential
o quadratic
inverse variation
Frequenc
(waves
680
0.5
1
340
227
15
DONE
2
170
25
136
Answer:
inverse variation
Step-by-step explanation:
help me solve problem one please.
Answer: His temperature is 99°F
Step-by-step explanation:
Let's state what we know:
Steve's temperature was initially 102°F
Later it dropped 3°F lower
Since his temperature decreased we need to subtract 3 from 102 to see what his temperature is now
102-3=99
what is the 41st term of 8,17,26
Answer:
368Step-by-step explanation:
We can see that 9 is being added to each term.
Thus, we obtain the following rule:
8 + 9(x - 1)To make this easier, let's simplify the rule.
⇒ 8 + 9(x - 1)⇒ 8 + 9x - 9⇒ 9(x) - 1Substitute 41 as "x" to obtain the 41st term:
⇒ 9(41) - 1⇒ 368The value of 41st term of sequence 8, 17, 26 is,
⇒ 368
What is Arithmetic sequence?An arithmetic sequence is the sequence of numbers where each consecutive numbers have same difference.
Given that;
The sequence is,
⇒ 8, 17, 26.
Now, The common difference is,
⇒ d = 17 - 8 = 9
⇒ d = 26 - 17 = 9
Thus, The sequence is in arithmetic.
Hence, The value of 41st term of sequence 8, 17, 26 is,
⇒ a + (n - 1)d
⇒ 8 + (41 - 1) 9
⇒ 8 + 369 - 9
⇒ 8 + 360
⇒ 368
Thus, The value of 41st term of sequence 8, 17, 26 is,
⇒ 368
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Question 2(Multiple Choice Worth 2 points)
(06.06 MC)
At an amusement park, the pendulum ride's movement from its starting position in meters can be represented by the equation f of x is equal to negative 4 times the cosine of the quantity x over 8 end quantity plus 4 period If x represents time measured in seconds since the ride first began, at what times will the pendulum's movement be 8 meters from its starting position?
Solving the trigonometric equations, the times at which the pendulum's movement will be 8 meters from its starting position are of:
[tex]x = 8\pi + 16n\pi[/tex] seconds.
What is the equation for the pendulum's position?It is given by:
[tex]f(x) = -4\cos{\frac{x}{8}} + 4[/tex]
It is 8 meters from its starting position when f(x) = 8, hence:
[tex]f(x) = -4\cos{\frac{x}{8}} + 4[/tex]
[tex]8 = -4\cos{\frac{x}{8}} + 4[/tex]
[tex]4 = -4\cos{\frac{x}{8}}[/tex]
[tex]\cos{\frac{x}{8}} = -1[/tex]
We have that:
[tex]\cos{x} = -1 \rightarrow x = \pi + 2n\pi[/tex]
Hence:
[tex]\frac{x}{8} = \pi + 2n\pi[/tex]
[tex]x = 8\pi + 16n\pi[/tex] seconds.
More can be learned about trigonometric equations at https://brainly.com/question/24680641
4. Find the surface area of the triangular prism:
5 ft
5 ft
3 ft
14 ft
8 ft
Shows work please
Answer:
276 ft²
Step-by-step explanation:
The total surface area of a prism is the sum of its lateral area and the area of its bases. Here, the bases are two triangles, and the area of the sides is that of three rectangles.
base areaThe area of a triangle is given by the formula ...
A = 1/2bh . . . . where b is the base of the triangle, h is its height
We have two identical triangles, so their total area will be ...
A = 2(1/2bh) = bh = (8 ft)(3 ft) = 24 ft²
lateral areaThe sides of the prism are rectangles, all with the same length: 14 ft. Their total area will be that length multiplied by the total of the rectangle widths. That total is the same as the perimeter of the triangular base:
P = 5 ft + 5 ft + 8 ft = 18 ft
Then the lateral area is ...
lateral area = Ph = (18 ft)(14 ft) = 252 ft²
total areaThe sum of the base area and lateral area is ...
(24 ft²) +(252 ft²) = 276 ft² . . . . area of the triangular prism
Most secured loans are not _____.
backed by collateral
long-term
high interest
scheduled with set payments
Most secured loans are not high-interest loans and they are usually backed by collateral.
What are secured loans?Secured loans demand the borrower to dedicate an asset or security as an assurance or collateral for the loan in order to get it.
For example:
A mortgage on a house orAn auto loan.Secured loans are often long-term loans; e.g, the average period of a house loan is 30 years, whereas vehicle loans run 4-5 years.
These kinds of loans are often repaid in monthly installments and have low-interest rates.
Learn more about secured loans here:
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Pls helpppp thankssss
Answer:
D
Step-by-step explanation:
y=5x-2 since the formula is. y=mx+c
pls help me rn pleaseeeeeeeeeeeeeeee
answer the question below. Type your response in the space provided What is the height of the cylinder in the diagram? Round your answer to the nearest whole V = 904.78 cm³ 6cm
Answer:
For this question, we use the formula for the volume of a cylinder.
(formula for vol. of cylinder)
V = π[tex]r^{2}[/tex]h
Where 'π' represents pi(22/7 or 3.14), 'r' represents the radius which is being squared, and 'h' stands for the height.
We utilize the information that we know:
Radius = 6cmVolume = 904.78Which we then plug into our equation(volume of cylinder formula):
V = π[tex]r^{2}[/tex]h
904.78 = 3.14(6^2) · h
Next solve for the h(height).
904.78 = 3.14(36) · h
904.78 = 113.04 · h
904.78 = 113.04h
/113.04 /113.04
8.00406935598 = h, which we round to 8.
8 centimetres is the height of this cylinder.
PLES HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
24
Step-by-step explanation:
area of a triangle is length x width, divided by 2. so 8 times 6, divided by 2. 48/2 = 24.
Find the area of the parallelogram 9.9in 5.5in
Answer:
54.45 in²
Step-by-step explanation:Let the base and height be 9.9 inches and 5.5 inches respectively.
Formula;
Area of parallelogram = Base × Height
Substitute the base and the height in the formula:
⇒ Area of parallelogram = Base × Height⇒ Area of parallelogram = 9.9 × 5.5Evaluate the area of the parallelogram:
⇒ Area of parallelogram = 9.9 in × 5.5 in⇒ Area of parallelogram = 54.45 in²Answer:
54.45 in²
Step-by-step explanation:
Formula
Area of a parallelogram = base × height
If you turn the parallelogram so that the sides that measure 9.9in are the base, you will see that 5.5in is the height (refer to the attached diagram). Therefore, we can use the formula with these values to calculate the area.
Given:
base = 9.9 inheight - 5.5 in⇒ area = 9.9 × 5.5 = 54.45 in²
investigue sobre 6sistemas diferentes
Answer:
this is broken english
Step-by-step explanation:
ok ok
Box A contains only 20-cent coins and Box B contains only 50-cent coins. The number of coins in Box A is twice the number of coins in Box B. The amount of money in Box B is $1.60 more than the amount of money in Box A. How many 20-cent coins are there in Box A?
Answer:
There should be 16, 20 cent coins in the box
Step-by-step explanation:
First we have to do 1.60 x 2 which equals 3.2
Then we divided by 0.20 because the equals the 20 cent coins
We get 16
We can check our work by 0.20 x 16 and that gives us 3.2
I hope this helps!
Multiply and reduce to lowest terms. Convert into a mixed number if necessary.
Answer correctly you get brainliest.
Answer:
Step-by-step explanation:
44/8
= 5 whole 4 by 8
= 5 4/8
Answer:
5/2 = 2.5
Step-by-step explanation:
find the values of the expression below when x = -4 and y= 2 -3x^2y+ 4x
Answer:
20720
Step-by-step explanation:
-3x^2y +4x
-3(-4)^2*2 + 4(-4)
= 12^4 -16
20736 - 16
= 20720
I hope this helped!
Answer:
When x = -4 and y = 2, -3x^(2y) + 4x is -784.
Step-by-step explanation:
-3x^(2y) + 4x
Substitute given variables.
-3(-4)^(2(2)) + 4(-4)
Multiply 2 and 2.
-3(-4)^4 + 4(-4)
Multiply -3 and -4.
Raise -4 to the 4th power.
-3(256) + 4(-4)
Multiply -3 and 256.
-768 + 4(-4)
Multiply 4 and -4
-768 + (-16)
Add -768 and -16.
-784
- Classify the quadrilateral in as many ways as possible.
.
rombus Rectangle sqare
Step-by-step explanation:
all have 4 Sides
What is the value of x in the triangle?
45°
4
х
45°
OA. 4
B. 2
OC. 412
OD. 212
Answer:
D
Step-by-step explanation:
use the sine or cosine ratio in the right triangle.
using the sine ratio and the exact value
sin45° = [tex]\frac{\sqrt{2} }{2}[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{4}[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ( cross- multiply )
2x = 4[tex]\sqrt{2}[/tex] ( divide both sides by 2 )
x = 2[tex]\sqrt{2}[/tex]
The value of x is 2√2.
Hence the correct option is D.
Given that a right triangle with acute angles 45° each, and hypotenuse is 4 units,
we need to find the length of the perpendicular,
In a right triangle, the length of the perpendicular (also known as the altitude) can be found using trigonometric ratios.
In this case, since we have an angle of 45°, we can use the sine or cosine function.
Let's use the sine function to find the length of the perpendicular:
sin(45°) = opposite / hypotenuse
sin(45°) = perpendicular / 4
1/√2 = perpendicular / 4
perpendicular = 4/√2
perpendicular = 2√2
Hence the value of x is 2√2.
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Which algebraic rule describes the translation of ΔDEF to ΔD'E'F'?
we subtracted 4 from the x value
we subtracted 7 from the y value
Answer:
(x,y) => (x-4,y-7)