Answer:
See proof below
Step-by-step explanation:
We will use properties of inequalities during the proof.
Let 
. then we have that 
. Hence, it makes sense to define the positive number delta as 
(the inequality guarantees that these numbers are positive).
Intuitively, delta is the shortest distance from y to the endpoints of the interval. Now, we claim that 
, and if we prove this, we are done. To prove it, let 
, then 
. First, 
then 
hence 
On the other hand, 
then 
hence 
. Combining the inequalities, we have that 
, therefore as required.
Answer:
y=0x+-6
Step-by-step explanation:
y=mx+b
Answer:
1. F
2. G
3. H
4. E
5. C
6. B
7. A
8. D
Step-by-step explanation:
1. For a horizontal line, this is zero. F. Slope
2. These lines have the same slope. G Parallel Lines
3. These lines meet at 90°. H Perpendicular Lines
4. This is where two lines meet. E. Point of Intersection
5. For the line 3 2 6 x y , this is −3. C. Y-intercept
6. The numbers 10 and 1 /10 are examples. B Reciprocals
7. This is the name for an equation of a line in the form Ax By C 0. A. Standard Form
8. For a vertical line, the value of x is constant and equal to this D. x-intercept
In four hours, he drives: = 252
So, Unit rate = 252/4 = 63 mph
In seven hours, it would be = 63 * 7 = 441 miles
Hope this helps!
Transformation which can be used for mapping of one triangle to another are;
- Only translation
- Rotation then dilation.
What does mapping mean in geometry?
- Any method that is outlined for assigning a specific object from one (or the same) set to each object in another is known as mapping.
- Any set, including all whole integers, all the points on a line, or all the objects inside a circle, can be mapped.
We need to map one triangle to another ;
Hence, for mapping of one triangle to another,
The transformation which can be used from the given options are;
- Only translation
- Rotation then dilation
Learn more about mapping
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