The value of the smaller number is 5.
Small number= S
Big number= B
B-S=25
6B-S=25
(S-6B)6=25
150-6B=S
5S=150
B=30
S=5
30-5=25
Answer:
A, C and D
Step-by-step explanation:
Given
![\frac{3}{5}a + 10](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7Da%20%2B%2010)
Required
Select 3 equivalent expressions
![\frac{3}{5}a + 10](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7Da%20%2B%2010)
Express 3 as 2 + 1
![\frac{2 + 1}{5}a + 10](https://tex.z-dn.net/?f=%5Cfrac%7B2%20%2B%201%7D%7B5%7Da%20%2B%2010)
Rewrite as:
![\frac{2a + a}{5} + 10](https://tex.z-dn.net/?f=%5Cfrac%7B2a%20%2B%20a%7D%7B5%7D%20%2B%2010)
Split
----- Option (A)
![\frac{3}{5}a + 10](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7Da%20%2B%2010)
Express 10 as 14 - 4
![\frac{3}{5}a + 14 - 4](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7Da%20%2B%2014%20-%204)
Rewrite as:
--- Option (C)
![\frac{3}{5}a + 10](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B5%7Da%20%2B%2010)
Factor out 1/5
--- Option D
Answer:
Step-by-step explanation:
If you plot the focus and the vertex, you see that the focus is on the same vertical line, just 4 units up. Since the vertex is below the focus and a parabola ALWAYS wraps around the focus, the parabola is a positive y equals x-squared type. Depending upon what you call standard form will dictate how your answer "looks", although they are both the same parabola. There are 2 forms:
and
![ax^2+bx+c=y](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3Dy)
We will work on the first one, then rewrite it into the second one.
Our h value is -5, our k value is 2 (from the vertex (h,k)), and p is defined as the distance between the focus and the vertex. Our p is 4. Filling all that in:
![(x+5)^2=16(y-2)](https://tex.z-dn.net/?f=%28x%2B5%29%5E2%3D16%28y-2%29)
That's one form. If we expand the left side of that form we have
Now divide both sides by 16 to get
![\frac{1}{16}x^2+\frac{5}{8}x+\frac{25}{16}=y-2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B16%7Dx%5E2%2B%5Cfrac%7B5%7D%7B8%7Dx%2B%5Cfrac%7B25%7D%7B16%7D%3Dy-2)
Now add 2 to both sides in the form 32/16 to get
![\frac{1}{16}x^2+\frac{5}{8}x+\frac{57}{16}=y](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B16%7Dx%5E2%2B%5Cfrac%7B5%7D%7B8%7Dx%2B%5Cfrac%7B57%7D%7B16%7D%3Dy)
They are both the same parabola; pick whichever one fits your needs.
Answer:
Step-by-step explanation:
The answer is c
K • 60 = 54
54 : 60 = 0.9
0.9 • 60 = 54
So the value of k is 0.9