1) Triangle T1 is transformed into triangle T2 by
a. dilation with scale factor of 1/2
b. reflection over the y-axis
c. translation
2) and triangle T2 is transformed into trinagle T3 by
a. dilation with scale factor 1/2
b. reflection over the x-adis
c. rotation
Answers
Answer:
1) The correct option is;
b. Reflection over the y-axis
2) The correct option is;
a. Dilation by a scale factor of 1/2
Step-by-step explanation:
1) The rule for reflection over the y-axis is given as follows;
Given the point of the preimage before the reflection = (x, y), the point of the image after the reflection will be (-x, y)
The coordinate of a point on T1 is (-2, 4). The coordinate of similar point in T2 is (2, 4) which satisfies the rule for reflection over the y-axis
2) The length of a side in triangle T2 is given by the formula for finding the length, l, of segments between coordinate points as follows;
[tex]l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}[/tex]
Point 1, (x₁, y₁) = (2, 4)
Point 2, (x₂, y₂) = (6, 2)
The length = √((2 - 4)² + (6 - 2)²) = 2·√5
The length of the corresponding side in T3 is given as follows;
Point 1, (x₁, y₁) = (1, 2)
Point 2, (x₂, y₂) = (3, 1)
The length = √((1 - 2)² + (3 - 1)²) = √5
The length of of a side T3 = 1/2 of the length of a side of T2
Therefore. triangle T2 is transformed into triangle T3 by dilation with a scale factor of 1/2.
Related Questions
what is the side length of 144 square miles and 134 square miles
Answers
Answer: square root of 144 = 12 miles
Square root of 134 = 11,57 miles
Find the GCF of the two numbers, and rewrite the sum of the two numbers using the distributive property.
12 + 18
A) 4(2 + 3)
B) 4 + (2 + 3)
C) 6(2 + 3)
D) 6 + (2 + 3)
Answers
use the discriminant to determine how many and what kind of solutions the quadratic equation x^2-x=1 has
Answers
Answer:
Two solutions
Step-by-step explanation:
x^2-x=1
plug into the discrimiant fomurla
The asnwer ends up being 5
which is positive, meaning that the discriminant has two solutions
Postitive number = Two solutions
The answer is 0 = One solution
Negative number = No solutions
:)
Write the equation for the
line that passes through
(-3, 5) and is parallel to the
graph of y = 2x - 4.
Answers
Answer:
(
y
−
4
)
=
2
⋅
(
x
+
3
)
y
−
4
=
2
x
+
6
y
=
2
x
+
6
+
4
We get the equation of the line as :
y
=
2
x
+
10
The graph will look like this:
graph{y=2x+10 [-10, 10, -5, 5]
Step-by-step explanation:
how do you find the perimeter of the isosceles triangle?
Answers
you can also search online and there will be a calculator for it to make it easier, hopefully this helps ^^
CAN SOMEONE PLEASE HELPPP!!!!! It's Algebra 1. I attached the picture it's just one question.
Answers
You have to do 2h up, halph an hour parallel , and then a line more vertical than the 2h, then parallel the time he is on the top, and then a line down that stops parallel for some time in the middle and then a line down to the bottom.
There you are almost but you have to do it with better measures.
Vanessa has $50.00 in a savings account that earns 10% annually, with interest compounded annually. How many dollars will Vanessa have in the account after 2 years?
Answers
Answer:
$60.00
Step-by-step explanation:
first take 50 and find 10% of that. we can do this by turning 10 into 0.1 and multiplying that by 50. this leaves you with 5. take 5 and multiply by 2 representing the 2 years, and get 10. then add the $10 to the $50 to get $60. hope this helped! pls give brainliest <3 :)
If you reflect the coordinates (1,4) across the y-axis what would be the new
coordinates? *
Answers
Answer:
-1,4
Step-by-step explanation:
Answer:
-1,4
Step-by-step explanation:
What fraction of 34 it will take to make 23?
Answers
Answer:
34 = 2 × 17
Step-by-step explanation:
To reduce a fraction divide the numerator and the denominator by their greatest common factor, GCF
What is the slope and Y intercept?
Answers
Answer:
Y intercept = (0,10)
slope is 4
Step-by-step explanation:
Ok so Start with y intercept. That’s the point it crosses the y axis. So that would be ( 0, 10). To find slope, you do rise/run. Or how far up, and how far right. take two points (0,10) and (1, 14)
14-10
——-
1-0
= 4/1 = 4
so the slope is 4.
Explain how the volume of a right cone relates to the volume of a cylinder with the same base
and height. Use diagrams and volume formulas to explain the relationship.
Answers
Answer:
its 1/3 of the volume of a cyinder with the same base
Step-by-step explanation:
a pyramid has the same policy with prisms of the same base
Volume is a three-dimensional scalar quantity. If the radius and the height of a cone and a cylinder are the same, then the volume of the cylinder is thrice the volume of the cone.
What is volume?
A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Assume a cone and a cylinder such that the radius of the base of both the figures is r units, while the height of the cone and cylinder both is h units.
The volume of the cone with radius r units and height h units now can be written as,
Volume of the cone = (1/3) × π × r² × h units³
The volume of the cylinder with a radius of r units and the height of h units now can be written as,
Volume of the Cylinder = π × r² × h units³
Taking the ratio of the volume of the cone and the volume of the cylinder,
Volume of the cone/Volume of the cylinder = (1/3)πr²h units³ / πr²h units³
Volume of the cone/Volume of the cylinder = 1/3
Volume of the cylinder = 3 × Volume of the cone
Hence, if the radius and the height of a cone and a cylinder are the same, then the volume of the cylinder is thrice the volume of the cone.
Learn more about Volume:
https://brainly.com/question/13338592
#SPJ5
2
Carter is going on a 16.5
mile hike through the
Grand Canyon. If he wants
to spread out his hike
evenly over the next 6
hours, how many miles
should he hike per hour?
NIC
Answers
Answer:
2.75 miles per hour
Step-by-step explanation:
16.5/6
struggling a lot pls help!!!!! ASAP
Answers
Answer:
Its (-2, 0)
Explanation: This is actually very simple because you just simply go left 2 times towards the middle of the two lines crossing each other, and thats -2. Then after the point doesn't move any farther so its 0.
What is the equation of this line in slope-intercept form?
6x-7y=17
6x-11y=-13
6x-11y=13
11x-6y=13
(For you k-12 kids you should know what this is)
Answers
Answer:
6x-7y=17-----y=6/7x-17/7
6x-11y=-13----y=6/11x-13/11
6x-11y=13----y=6/11x+13/11
11x-6y=13-----y=11/6x-13/6
Step-by-step explanation:
Choose the letter for the best answer.
7. Faith spent $78 at Fashion
Warehouse. She bought 2 shirts that
each cost $17.50 and a pair of
shoes. How much did she spend for
the shoes?
$34.00
$60.50
$43.00
$113.00
Answers
Answer:C
Step-by-step explanation:
78-17.5*2 = 43 so C
Answer:
43 dollars
Step-by-step explanation:
17.50 x 2 = 35
78 - 35 = 43
I will mark the brainiest! Please, and thanks! :)
(You can write them on paper, and upload a pic)
Answers
Answer:
I added the picture as an attached file below
Step-by-step explanation:
Hope it helps:)
Whats is the answer to 3-(-7). I cant seem to figure it out
Answers
ILL MARK U BRAINLIEST!
Answers
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Because when you look at the chart the orders add up to four.
7 * (-3) =
What Is the answer
This is multiplication
Answers
Answer:
-21
Step-by-step explanation:
Answer:
-21
Step-by-step explanation:
7 * 3 = 21 normally, right?
this equation is the same thing, you just have to make it negative!
for the future, remember that positive * negative = negative answer and negative * negative = positive answer. if you remember that, all you have to do is solve the equation normally and then add a negative sign!
4/25 x 10 write your answer as a fraction in simplest form
Answers
When = 3, what will the value for y be for the equation - 4x + 5y = 18?
Answers
If x equals 3 then y must equal 1.2
Answer: y=6
-4(3)+5y=18
-12+5y=18
add 12 to both sides
-12+5y+12=18+12
5y=18+12
5y=30
divide both sides by 5
5y÷5=30÷5
y=30÷5
y=6
I hope this is good enough:
Will mark BRAINLIEST!!!!Which equation represents the relationship between x and y?
X
у
1
4
2
5
3
6
4
7
y = 3x + 1
y = x + 1
y = x + 3
y = x - 3
Answers
Answer:
Third one
Step-by-step explanation:
y=x+3
Ralph is making orange juice.
He needs 3 cups of orange
juice. How many fluid ounces
of orange juice does he need?
A.12 oz
B.6 oz
C.18 oz
D.24 oz
Answers
What is the measurement of this angle
Answers
Answer:
50 degrees
Step-by-step explanation:
Please help! I’ll give brainliest!
Answers
Answer:
69
Step-by-step explanation:
all triangles add up to 180.
180-42= 138
138/2 is 69
69+69+42 is 180
Jared just completed a race and is standing 15 feet across the finish line. Michael is still running the race and he has 30 feet to go
Student A says that Jared and Michael are 45 feet away from each other student B says they are 15 feet away from each other
Who is correct
Explain your reasoning and write a numerical expression to justify your answer
Answers
Answer:
Student A is correct.
Step-by-step explanation:
A is correct as Michael is 30ft behind the finish line and Jared is 15 feet past it. [tex]30 + 15 = 45[/tex]
Answer:
student a
Step-by-step explanation:
jared is 15 feet after the line Michael is 30 feet before the line 15 + 30
Sylvia has 51.78 pounds of dirt. She has 20 buckets and would like to put 2.56 pounds of dirt into each bucket. Are there enough buckets for all of the dirt to be in a bucket?
Answers
Answer:
There isn't enough buckets for all of the dirt to be in a bucket.
Step-by-step explanation:
From the question,
She has 20 buckets and would like to put 2.56 pounds of dirt into each bucket.
Hence, the total number of dirt that can be in the 20 buckets is
20 × 2.56
= 51.20 pounds of dirt
Slyvia has 51.76 pounds of dirt.
51.76 - 51.20
= 0.56 pounds of dirt.
From the above calculation we can say that there isn't enough buckets for all of the dirt to be in a bucket
Nevaeh read 49 1/2 pages in 2 1/4 hours. If she continues reading at the same rate, how many pages will she read in an hour?
Answers
Nevaeh reads 22 pages in a hour.
Step-by-step explanation:
49.5/9 is 5.5x4=22
Answer Asap Will mark brainlest if it's right.
Answers
Answer:
B........................
Tyler height is 57 inches. What could be his height in centimeters
Answers
Answer: 144.8
Step-by-step explanation: