Answer:
B
Step-by-step explanation:
Answer:
a) enlargement
b) scale factor is 2
Step-by-step explanation:
As we can see, we went from the block to the red figure
a) Since the red figure is bigger, then what we have is an enlargement of the original figure
b) As we can see, the coordinates of the red is two times the value of the coordinates of the black
So, we can conclude that what we have as a scale factor is 2
Answer:
Angle D is complementary to angle A
Step-by-step explanation:
Complementary angles sum to 90 degrees.
Since angle is B is 90 degrees, the sum of angles A and D are also 90 degrees to make a straight line with an angle measure of 180 degrees.
Answer:
|x| + 1
<em>Adding/subtracting on the outside moves it up/down.</em>
<em>Adding/subtracting on the inside (such as (x - 2) moves it right 2) moves it left/right.</em>
<em />
Answer:
x = -1 and x = 7
Step-by-step explanation:
2x^2 + 2x - 14x - 14
2x^2 - 12x -14
Divide through by 2 to simplify the expression
x^2 - 6x - 7
x^2 - 6x -7
Now, let's think of two numbers that when added up gives -6 and when multiplied gives -7
Yes! It's -7 and +1
-7 + 1 = -6 , and -7* 1 = -7
Now, lets substitute these numbers in the expression
x^2 -7x + x - 7
factorize
x(x - 7) + 1(x - 7)
(x + 1) (x - 7)
Now equate to zero
(x + 1) (x - 7) = 0
x + 1 = 0
subtract 1 from both sides
x +1 - 1 = 0 -1
x = -1
Also,
x - 7 = 0
Add 7 to both sides
x -7 + 7 = 0 + 7
x = 7
Hence, x = -1 and x =7
