Answer:
![6\ plants](https://tex.z-dn.net/?f=6%5C%20plants)
Step-by-step explanation:
Remember that
![2\frac{1}{2}\ hours=\frac{5}{2}\ hours](https://tex.z-dn.net/?f=2%5Cfrac%7B1%7D%7B2%7D%5C%20hours%3D%5Cfrac%7B5%7D%7B2%7D%5C%20hours)
Using proportion
![\frac{15}{(5/2)}\frac{plants}{hours} =\frac{x}{1}\frac{plants}{hour}\\ \\x=15*2/5\\ \\x=6\ plants](https://tex.z-dn.net/?f=%5Cfrac%7B15%7D%7B%285%2F2%29%7D%5Cfrac%7Bplants%7D%7Bhours%7D%20%3D%5Cfrac%7Bx%7D%7B1%7D%5Cfrac%7Bplants%7D%7Bhour%7D%5C%5C%20%5C%5Cx%3D15%2A2%2F5%5C%5C%20%5C%5Cx%3D6%5C%20plants)
Answer:
so 2a+3b=±13
Step-by-step explanation:
4a²+9b²=97
ab=6
2a+3b=?
by using formula
(a+b)²=a²+b²+2ab
(2a+3b)²=(2a)²+(3b)²+2(2a)(3b)
(2a+3b)²=4a²+9b²+12ab
putting values
(2a+3b)²=97+12(6)
(2a+3b)²=97+72
(2a+3b)²=169
taking square root on both sides
√(2a+3b)²=√169
2a+3b=±13
i hope it will help you
Answer:
Step-by-step explanation:
Similar triangles
![\frac{AD}{AB}=\frac{DE}{BC}\\\\\frac{x+2}{x}=\frac{3}{2}\\\\](https://tex.z-dn.net/?f=%5Cfrac%7BAD%7D%7BAB%7D%3D%5Cfrac%7BDE%7D%7BBC%7D%5C%5C%5C%5C%5Cfrac%7Bx%2B2%7D%7Bx%7D%3D%5Cfrac%7B3%7D%7B2%7D%5C%5C%5C%5C)
Cross multiply
2*(x+2) = 3*x
2x + 2*2 = 3x
2x + 4 = 3x
Subtract 2x from both sides
2x + 4 -2x = 3x - 2x
4 = x
x = 4
Answer:
7.62
Step-by-step explanation:
use the Pythagorean theorem
3^2+7^2=58
the square root of 58 is about 7.62
Answer:
C. Tasha's balloon was farther from the town at the beginning, but
Henry's balloon traveled more quickly.
Step-by-step explanation: