We are given coordinates of the triangle: A(2,2), B(7,1) and C(8,-4).
We need to rotated 90° counterclockwise about the origin.
In order to find the new coordinates of rotatation 90°counterclockwise about the origin, we can apply rule (h, k) ---> (-k,h).
Where (h,k) are the coordinates of original image on axes and (-k,h) are the coordinates of rotated image.
In resulting coordinates of the image first swap the x and y coordinates of the original image and then make the sign opposite of each x-coordinate.
On applying rule (h, k) ---> (-k,h), we get
A(2,2) --> A'(-2,2)
B(7,1) --> B'(-1,7)
C(8,-4) --> C'(4,8)
Multiply the first bracket by -2
Multiply the second bracket by 2
x-3-12+4x= 4x-10
- negative number times + positive number= - negative number
- negative number times -negative number = + positive number
x+ 4x-3-12= 4x-10
5x-15= 4x-10
Move 4x to the other side
5x-4x-15= 4x-4x-10
x-15= -10
Move -15 to the other side
x-15+15= -10+15
x= 5
Answer : x= 5
The answer is 73.5
To make it a lot easier split the shapes into a rectangle and triangle.
The rectangle is a tad easier because the measurements are given here.
5 x 12 = 60 (rectangle area)
To find the triangle find the base then height. The base is 3cm and the height is 9cm (shown above)
9 x 3 = 27
Divide that by 2 because it's a triangle and you get 13.5.
Add those two numbers and voila you have your answer of 73.5.
Answer:
$1,665.19
Step-by-step explanation:
Interest=PRT/100 where P is the principal amount deposited by Michelle, R is the rate offered per year in terms of percentage, T is the period in years
Substituting P for $1385, T for 7 years, R for 2.89% we obtain interest as follows
Interest=$1,385*2.89*7 years/100=$280.1855
Balance after 7 years will be the sum of principal amount and interest gained
Balance=$1,385+$280.1855
=$1,665.1855
Rounding off to 2 decimal places
Balance=$1665.19
Therefore, Michelle's balance is $1,665.19
Hello!
We can find out our answer by plugging in the point (1,1) to see which equation works.
y=1.4(1.2)≠1
y=1.2≠1
y=0.5+0.3≠1
y=0.2+1.2≠1
As you can see, none of these answers are correct. You could make the last equation true by switching 0.2 to -0.2. It may have been a typo, so I would say the best answer is D.
I hope this helps!
