Answer:
-5 -√8 or ≈ -7.83
Step-by-step explanation:
<u>Solving the quadratic equation, to find its roots:</u>
- x^2 + 10x + 25 = 8 ⇒ The left side is perfect square
- (x+5)^2=8 ⇒ Getting square root of both sides
- x+5 = ± √8 ⇒ There are 2 roots
- x = - 5 ± √8
<u>The smallest root is:</u>
So from 100% you increased it by 30% to become 520
130%=540
percent means parts out of 100
130%=130/100=1.3
1.3 of whole=520
divide both sides by 1.3
whole=400
the number was 400
Answer:
yes
Step-by-step explanation:
Because 4/3=4*4/3*4=16/12
Answer:
C. 
Step-by-step explanation:
In order to find the slope knowing two points, use the slope formula 
. 
and 
represent the x and y values of one point the line intersects, and 
and 
represent the x and y values of another point the line intersects.
Knowing this, use the points (-4, -4) and (6, 4) for the formula. Substitute -4 for , -4 for , 6 for , and 4 for . Then, simplify:
Thus, is the slope of the line.
Answer:
<u>1. 4/13 = 20/65
</u>
<u>2. 4/20 = 13/65 </u>
<u>3. 5/10 = 23/46</u>
<u>4. 5/10 = 32/64
</u>
<u>5. 5/23 = 10/46
</u>
<u>6. 5/32 = 10/64</u>
Step-by-step explanation:
We can make the following six equivalent ratios using the digits from 0 to 6 only once:
1. 4/13 = 20/65 (We multiply 4 and 13 by 5 to get the second equivalent ratio)
2. 4/20 = 13/65 (We divide the first ratio by 4 and the second by 13 and we get 1/5 on both ratios)
3. 5/10 = 23/46 (We divide the first ratio by 5 and the second by 23 and we get 1/2 on both ratios)
4. 5/10 = 32/64
(We divide the first ratio by 5 and the second by 32 and we get 1/2 on both ratios)
5. 5/23 = 10/46
(We multiply 5 and 23 by 2 to get the second equivalent ratio)
6. 5/32 = 10/64 (We multiply 5 and 32 by 2 to get the second equivalent ratio)
