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rewona [7]
2 years ago
11

What is the sequence of transformations that maps △ABC to △A′B′C′? Select from the drop-down menus to correctly identify each st

ep. Step 1: Choose... Step 2: Choose... Two triangles on the coordinate plane. Triangle A B C has vertex A at negative 1 comma 1, vertex B at negative 3 comma 5, and vertex C at negative 6 comma 5. Triangle A prime B prime C prime has vertex A prime at 1 comma 5, vertex B prime at 5 comma 3, and vertex C prime at 5 comma 0.
Mathematics
1 answer:
Anika [276]2 years ago
3 0

Triangle ABC was reflected along the y =x line and the translated 6 units up to form triangle A'B'C'.

<h3>Transformation</h3>

Transformation is the movement of a point from its initial location to a new location. Types of transformation are<em> rotation, reflection, translation and dilation.</em>

<em />

Given that ABC has vertices at A(-1, 1), B(-3, 5) and C(-6, 5). If it is reflected along the y = x line, the new point is A*(1, -1), B*(5, -3) and C*(5, -6). If it is then translated 6 units up, the new point is A'(1,5), B'(5, 3) and C'(5, 0).

Find out more on transformation at: brainly.com/question/1548871

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If y varies directly as x and y = 144 when x = 12, what is the value of y when x = 17?
Burka [1]
y=kx \\ \\&#10;y=144 \hbox{ when } x=12 \\&#10;\Downarrow \\&#10;144=k \times 12 \\&#10;k=12 \\ \\&#10;y=12x \hbox{ and }&#10;x=17 \\&#10;\Downarrow \\&#10;y=12 \times 17 \\&#10;y=204 \\ \\&#10;\boxed{y=204} \hbox{ when } x=17
4 0
4 years ago
Please help me solve these algebraic expressions and turn them into simplified fraction
Fittoniya [83]

Answer:

h) (3 - 2b)/4b²

k) (2b - 3a)/ab³

Step-by-step explanation:

h) 3/4b² - 1/2b

multiply 1/2b, both top and bottom, by 2b, so 1/2b = 2b/4b²:

3/4b² - 2b/4b² = (3 - 2b)/4b²

k) 2/ab² - 3/b³

multiply 2/ab², both top and bottom, by b, so 2/ab² = 2b/ab³:

multiply 3/b³, both top and bottom, by a, so 3/b³ = 3a/ab³:

2b/ab³ - 3a/ab³ = (2b - 3a)/ab³

7 0
3 years ago
What is the conjugate of x-square root of 2
Nana76 [90]
The conjugate of a binomial, is pretty much just the same thing, but with a different sign in between, so,

pelican + canary      conjugate => pelican - canary

a + b         conjugate => a - b

-a - b         conjugate => -a + b

and  so on, therefore

x - √2        conjugate => x + √2
5 0
3 years ago
Read 2 more answers
Keisha has a total of $6000 to invest in two accounts for 1 year. One account pays 5% simple interest and the other pays 6% simp
adoni [48]

Answer: He invest $2500 in account with rate of interest 5% and invest $3500 in account with 6% of interest so that the total interest earned is $335.

Step-by-step explanation:

Given: The rate of interest for account 1= 5%=0.05

The rate of  interest for account 2= 6%=0.06

Let P be the Principal amount Keisha invested in the account with 5% interest .

Then the amount she will invest in account with 6% interest= 6000-P

Time = 1 year

The simple interest is given by:-

S.I.=Prt

Simple interest for account 1=P(0.05)(1)=0.05P

Simple interest for account 2=(6000-P)(0.06)(1)=360-0.06P

According to the question,

Total Interest =$335

\Rightarrow0.05P+360-0.06P=335\\\Rightarrow\ -0.01P=335-360\\\Rightarrow\ -0.01P=-25\\\Righgtarrow\ P=2500

So, he invest in account with 5% interest= $2500

He invest in account with 6 % interest=$6000-$2500=$3500

8 0
3 years ago
For a school fund raising project, Aiden and Jacob collected money in the ratio of 3.5 : 6.8. Jacob collected $115.50 more than
user100 [1]
X - the amount of money collected by Aiden
y - the amount of money collected by Jacob

Aiden and Jacob collected money in the ratio of 3.5 : 6.8.
\frac{x}{y}=\frac{3.5}{6.8} \\&#10;6.8x=3.5y \\&#10;x=\frac{3.5}{6.8}y \\ x=\frac{35}{68}y

Jacob collected $115.50 more than Aiden.
x+115.5=y \\&#10;x=y-115.5 \\ \\&#10;x=x \\&#10;\frac{35}{68}y=y-115.5 \\&#10;\frac{35}{68}y-y=-115.5 \\&#10;\frac{35}{68}y-\frac{68}{68}y=-115.5 \\&#10;-\frac{33}{68}y=-115.5 \\&#10;y=-115.5 \times (-\frac{68}{33}) \\&#10;y=238 \\ \\&#10;x=y-115.5=238-115.5=122.5 \\ \\&#10;x+y=238+122.5=360.5

The total amount of money they collected is $360.50.
6 0
4 years ago
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