Since:
ax(2x + y - 5) = 6x^2 +3xy - 15x,
we should factor X out of the second equation to find out the value of a:
6x^2 + 3xy - 15x =
x(6x + 3y - 15),
Now that we factored X out, to find a, we need to find the other common factor:
(6x + 3y - 15) / (2x + y - 5),
which is 3.
Hence the value of a is 3
The given trinagle is a right angle triangle. let the missing side be x. To find x, we would apply the pythagorean theorem which is expressed as
hypotenuse^2 = one leg^2 + other leg^2
From the triangle,
hypotenuse = 14
one leg = 9
other leg = x
Thus, we have
![\begin{gathered} 14^2=9^2+x^2 \\ 196=81+x^2 \\ x^2\text{ = 196 - 81 = 115} \\ x\text{ = }\sqrt[]{115} \\ x\text{ = 10.72} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2014%5E2%3D9%5E2%2Bx%5E2%20%5C%5C%20196%3D81%2Bx%5E2%20%5C%5C%20x%5E2%5Ctext%7B%20%3D%20196%20-%2081%20%3D%20115%7D%20%5C%5C%20x%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B115%7D%20%5C%5C%20x%5Ctext%7B%20%3D%2010.72%7D%20%5Cend%7Bgathered%7D)
To the nearest tenth, the length of the third side is 10.7
Answer:
9+11s
Step-by-step explanation:
9+18s-7s
=9+11s
You can't add 9 and 11s because they are different variables
Answer:
C 89a + 2c)
Step-by-step explanation:
The largest factor of both 8 and 16 is 8. So, 8 = GCF
factor out an 8 and you get 8(a + 2c)
To check if you are correct, multiply and see if you get what you started with.
Answer:
![\frac{3}{28}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B28%7D)
Step-by-step explanation:
Probability (P) is calculated as
P = ![\frac{requiredoutcome}{count}](https://tex.z-dn.net/?f=%5Cfrac%7Brequiredoutcome%7D%7Bcount%7D)
The first required outcome is a red sweet from a total of 3 + 5 = 8
P( red) = ![\frac{3}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B8%7D)
There are now 2 red left and a count of 7, since 1 has been eaten, thus
P( second red ) = ![\frac{2}{7}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B7%7D)
P( red and red ) =
×
=
= ![\frac{3}{28}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B28%7D)