Answer: OPTION A.
Step-by-step explanation:
By definition, a dilation can be an enlargement or a reduction of the shape.
An enlargement is when dilation creates a larger image and a reduction is when dilation creates a smaller image.
When, the scale factor is greater than 1, the image is an enlargement and when the scale factor is between 0 and 1, the image is a reduction.
It is important to know that with a negative scale factor the enlargement will will be inverted and it will also be on the other side of the center of dilation.
Knowing this, we can say that the scale factor that will result in an enlargement is:
Answer: See explanation
Step-by-step explanation:
You didn't give the expressions but here are some expressions
a. ✓4x²y^4. 1. 2x✓y
b. ✓8x²y. 2. 2y✓2x
c. ✓4x²y. 3. 2xy²
d. ✓16xy². 4. 2x✓2y
e. ✓8xy². 5. 4y✓x
a. ✓4x²y^4 = ✓4 × ✓x² × ✓y^4
= 2 × x × y²
= 2xy²
Therefore, ✓4x²y^4 = 2xy²
b. ✓8x²y = ✓8 × ✓x² × ✓y
= ✓4 × ✓2 × ✓x² × ✓y
= 2 × ✓2 × x × ✓y
= 2x✓2y
Therefore, ✓8x²y = 2x✓2y
c. ✓4x²y = ✓4 × ✓x² × ✓y
= 2 × x × ✓y
= 2x✓y
Therefore, ✓4x²y = 2x✓y
d. ✓16xy² = ✓16 × ✓x × ✓y²
= 4 × ✓x × y
= 4y✓x
Therefore, ✓16xy² = 4y✓x
e. ✓8xy² = ✓8 × ✓x × ✓y²
= ✓4 × ✓2 × ✓x × ✓y²
Based on the graph, all x values are possible so the answer is C.
Answer:
100
Step-by-step explanation:
Simplify the following:
4 (12 - 2)^2/4
Hint: | Express 4 (12 - 2)^2/4 as a single fraction.
4 (12 - 2)^2/4 = (4 (12 - 2)^2)/4:
(4 (12 - 2)^2)/4
Hint: | Cancel common terms in the numerator and denominator of (4 (12 - 2)^2)/4.
(4 (12 - 2)^2)/4 = 4/4×(12 - 2)^2 = (12 - 2)^2:
(12 - 2)^2
Hint: | Subtract 2 from 12.
| 1 | 2
- | | 2
| 1 | 0:
10^2
Hint: | Evaluate 10^2.
| 1 | 0
× | 1 | 0
| 0 | 0
1 | 0 | 0
1 | 0 | 0:
Answer: 100
