2 1/3 / 1 3/5 7/3 / 8/5 7/3 * 5/8 7*5 = 35 3*8 = 24 35 / 24 1 and 11/24 1 and 11/24 1 and 11/24
Hope this helps!
6x=7-4y
Move 'y' to one side
6x-7=-4y
6x-7
------- = y
-4
Answer:
Part A: 1 solution
Part B:
3(2x-7)=3
6x-21=3
+21 +21
6x=24
/6 /6
x=4
Step-by-step explanation:
First you <u>distribute 3(2x-7)=3</u> to 6x-21=3. Next you do inverse operations by <u>adding 21 to both sides</u> of the equation to get 6x=24. Finally you <u>divide both sides by 6</u> to get x=4
Answer:
- y = -(x-1)² . . . . reflected over the x-axis
- y = (x-1)² +1 . . . . translated up by 1 unit
- y = (x+1)² . . . . reflected over the y-axis
- y = (x-2)² . . . . translated right by 1 unit
- y = (x-1)² -3 . . . . translated down by 3 units
- y = (x+3)² . . . . translated left by 4 units
Step-by-step explanation:
Since you have studied transformations, you are familiar with the effect of different modifications of the parent function:
- f(x-a) . . . translates right by "a" units
- f(x) +a . . . translates up by "a" units
- a·f(x) . . . vertically scales by a factor of "a". When a < 0, reflects across the x-axis
- f(ax) . . . horizontally compresses by a factor of "a". When a < 0, reflects across the y-axis.
Note that in the given list of transformed functions, there is one that is (x+1)². This is equivalent to both f(x+2) and to f(-x). The latter is a little harder to see, until we realize that (-x-1)² = (x+1)². That is, this transformed function can be considered to be either a translation of (x-1)² left by 2 units, or a reflection over the y-axis.
Answer: correct trigonometric ratios
SinB, tanA and cos A.
Step-by-step explanation:
The right triangle has two sides 5 and 12 , by Pythagoras it's hypotenuse is 13.
Tan B=5/12,
Sin A =12/13