A vertical stretch appears as a multiplier for the function value. Translation right appears as a value subtracted from the independent variable. Translation up appears as a value added to the function value.
For function f(x), stretching by a factor of 2, then translation 5 right and -1 up will give the function
... g(x) = 2f(x-5) -1
When f(x) = x², this becomes ...
... g(x) = 2(x -5)² -1
... g(x) = 2x² -20x +49
1. GIVEN
2. GIVEN
3. ∆MPR IS ISOSCELES WITH VERTEX P
4. COMMON
5. BY RIGHT ANGLE HYPOTNUSE SIDE(R.H.S.)
6.BY C.P.C.T.(Congruent Parts Of Congruent Triangle)
HOPE THIS WILL HELP U
Answer: C. Region C
Step-by-step explanation: Done on edge! Hope this helps!
Answer: A. (5; 0), B. (0; - 5), C. (-5; 0), D. (0; 5).
Step-by-step explanation:
A. (5; _) <em>[x = 5; y - ?]</em>
x² + y² = 25
5² + y² = 25
25 + y² = 25
25 + y² - 25 = 25 - 25
y² = 0
y = 0
A. (5; 0)
B. (_; -5) <em>[x - ?; y = -5]</em>
x² + y² = 25
x² + (- 5)² = 25
x² + 25 = 25
x² + 25 = 25
x² + 25 - 25 = 25 - 25
x² = 0
x = 0
B. (0; - 5)
C. (_; 0) <em>[x - ?; y = 0]</em>
x² + y² = 25
x² + 0² = 25
x² + 0 = 25
x² = 25
x = ± √25 = ± 5
C. (-5; 0) or (5; 0)
<em>Point A has coordinates (5; 0), which means that</em>
<em>point C has coordinates (-5; 0).</em>
D. (0; _) <em>[x = 0; y - ?]</em>
x² + y² = 25
0² + y² = 25
0 + y² = 25
y² = 25
y = ± √25 = ± 5
D. (0; - 5) or (0; 5)
<em>Point B has coordinates (0; -5), which means that</em>
<em>point D has coordinates (0; 5).</em>
Answer:
D
Step-by-step explanation:
12 cm,
Simply use Pythagora's theorem. The square of the hypotenuse = the sum of the squares of the other two sides
So, you get the square of the missing side by subtracting 5 squared from 13 squared, which gives 144.
Square root of 144 is the length of the missing side, i.e. 12 cm.