<u>Solution-</u>
We have to move the triangle 4 units right and 5 units down,
The co-ordinates of the vertices of triangle ABC,
A = (-1 , 3)
B = (-5 , -3)
C = ( 2 , -1)
When dealing with the movement in left or right, we manipulate the x co-ordinate.
For moving in left or -ve x direction we subtract from x co-ordinate and for moving in right or +ve x direction we add to x co-ordinate.
So the co-ordinates of the newly formed triangle A'B'C' are,
A' = (-1+4, 3) = (3 , 3)
B' = (-5+4 , -3) = (-1 , -3)
C' = (2+4 , -1) = (6 , -1)
When dealing with the movement in up or down, we manipulate the y co-ordinate.
For moving in up or +ve y direction we add to x co-ordinate and for moving in down or -ve y direction we add to y co-ordinate.
So the co-ordinates of the newly formed triangle A"B"C" are,
A'' = (3 , -2)
B'' = (-1 , -8)
C'' = (6 , -6)
Answer:
The answer to this is 47.5 degrees.
Step-by-step explanation:
To find the missing angle of a triangle, you must first understand what the known angles are. For this triangle you have 2 angles already known, the 42.5 degree angle, and the 90 degree angle. An angle will always be 90 degrees if it has that little square. When a triangle has a single 90 degree angle, that triangle will be a right triangle. the following angles will add up to 90 degrees, and so you can just take 90 and subtract 42.5 from it, to find the missing angle length of 47.5 degrees.
Hopefully this answers your question fully, if you need any more help just comment on this :)
Answer:
9.375
Step-by-step explanation:
So it's a proportion so you would just set it up like this
Then you would just multiply 20 to both sides and you would have the answer
Substitute the value of a = -2 to the expression -3(6a + 4):
-3(6 · (-2) + 4) = -3 · (-12 + 4) = -3 · (-8) = 24
Used PEMDAS
P Parentheses first
E Exponents (ie Powers and Square Roots, etc.)
MD Multiplication and Division (left-to-right)
AS Addition and Subtraction (left-to-right)
Question 3: y=25000(.94)^t
Question 4: c