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:
Step-by-step explanation:
There are two ways to do this. You could use your calculator to find out the decimal numbers that are equivalent to the two given fractions. Then check which one of the givens falls between these two numbers. I wouldn't do it that way -- not when you are told that the answer has 56 as the denominator. So ...
The best way to do it is to change the two givens so that they have a denominator of 56
3/7 = 3*8/7*8 = 24 / 56
7*7 / 7*8 = 49 / 46
So you need a number that is between 49 and 24
There is only one 27 / 56
Answer:
7. is G
8. f(4)=-120
Step-by-step explanation:
7. les do f(0)=4 since its the easiest
F. f(0)=0.4(0+5)(0-2)
0.4*-2*5=-4 NOT IT. the ans. is +
G. f(0)=-0.4(0+5)(0-2)
-0.4*-2*5=4 YESSSSSS
H. f(0)=-0.4(0-5)(0+2)
-0.4*2*-5=4 YESSSSSS
J. f(0)=0.4(0-5)(0+2)
0.4*2*-5=-4 NOT ITTTT
so G n H
Put both equation=0
G. 0=-0.4(x+5)(x-2)
x=-5,2 YASSSS this is the ans.
Answer:
The answer is 82.
Step-by-step explanation:
Just work it through.
A. $40, because you would do 1,000 × 1.04 = $1,040, and then subtract the original $1,000.
b. $81.60, because 1,000 × 1.04² = 1,081.6
c. $480.24, because 1,000 × 1.04^10 = 1,480.24.
I have used the formula for compound interest presuming you were aware of it, but I will be happy to explain what I did if you want :).
I hope this helps!