Answer:
A.The scale factor is 0.25 ⇒ <u>True</u>
B.The scale factor is 4 ⇒ <u>False</u>
Step-by-step explanation:
<u>See the attached figure.</u>
A dilation is a transformation that produces an image that is the same shape as the original, but is a different size.
A dilation that creates a smaller image is called a reduction.
As Shown, two right triangles, The first triangle is dilated to form the second triangle.
We can deduce that the second image is a smaller than the first triangle.
The hypotenuse of the first triangle = 4.4
The hypotenuse of the second triangle = 1.1
So, the scale factor = 1.1/4.4 = 11/44 = 1/4 = 0.25
<u>We will check the options:</u>
A.The scale factor is 0.25 ⇒ True
B.The scale factor is 4 ⇒ False
3. $2 for 1 pineapple
4. 35 miles in 1 hour
5. $7 in 1 hour
6. 3 times in 1 second
7. 175 feet in 1 sec
8. 1 glass of juice contains 3 gram of sugar
9. 15 page in 1 day
10. speed of international space station is
7.7 km in 1 second
Answer:
Option D (8,4)
Step-by-step explanation:
we know that
The dilation centered at the origin (0,0) is very simple. To find out the image point multiply the scale factor to the x and y-coordinates of the pre-image point.
so
(2*4,2*2) -----> (8,4)
Simplify both sides of the equation.
<span><span><span><span>3/5</span>n </span>+ 15 </span>= <span><span><span>2/5</span>n </span>+ 10
</span></span>Subtract 2/5n from both sides.
<span><span><span><span><span>3/5</span>n </span>+ 15 - </span><span><span>2/5</span>n </span></span>= <span><span><span><span>2/5</span>n </span>+ 10 - </span><span><span>2/5</span>n</span></span></span><span><span><span><span>15</span>n </span>+ 15 </span>= 10
</span>Subtract 15 from both sides.
<span><span><span><span><span>1/5</span>n </span>+ 15 - </span>15 </span>= <span>10 - 15</span></span><span><span><span>1/5</span>n </span>= -<span>5
</span></span>Multiply both sides by 5.
<span><span>5 </span></span>× (1/5n) = (5) × (−5)<span>n = -<span><span>25
Answer: n is -25.</span></span></span>
