Answer:
AN = 16.00
Step-by-step explanation:
FR = 7.0 (this is because FR = FO = 7.0)
FN = 10.0
OR = 11.2
AN = ?
Based on similarity theorem, thus:
FN/FR = AN/OR
10.0/7.0 = AN/11.2
Cross multiply
10.0*11.2 = AN*7.0
112 = AN*7.0
Divide both sides by 7.0
112/7.0 = AN
16.00 = AN
AN = 16.00
<h3><u>(f - g)(x) = -2x^2 + 10x</u></h3>
x^2 + 6x - 1 - (3x^2 - 4x - 1)
Distributive -1 to each term in parentheses.
x^2 + 6x - 1 - 3x^2 + 4x + 1
Combine like terms.
-2x^2 + 10x
Answer:
Since
, then we conclude that it will be a goal.
Step-by-step explanation:
Let the trajectory of the ball be represented by
, where
is the horizontal distance of the ball from origin, in feet, and
is the height of the ball above ground, in feet.
If Deshawn does not block Chris's shot, then we should check if shot will be a goal and this condition must be fulfilled:
(1)
If we know that
, then the height of the ball at the start of the goal is:
(2)
![f(x) = 6.95\,ft](https://tex.z-dn.net/?f=f%28x%29%20%3D%206.95%5C%2Cft)
Since
, then we conclude that it will be a goal.
We will call small boxes x and big boxes y. This will mean that we have 2 different equations using the same two unknown weights. So, 2×y+8×x=106 and 5×y+2×x=103. Find how x and y relate to each other and apply it to one any of the equtions. 5y+2x=103 is the same as 5y=103-2x, and same as y=(103-2x)/5. Apply this relation we found to the other equation and we can find 2((103-2x)÷5)+8x=106, to (206-4x)÷5+8x=106, to (206+36x)÷5=106, to 206+36x=530, to 36x=324, to x=9. Apply again to any equation to find y, 5y+2(9)=103. 5y+18=103, to 5y=85, so y=17. Small boxes are 9kg and large boxes are 17kg
Answer:
x-5
Step-by-step explanation:
"difference" means subtraction. since there isn't a specific number given then we can use x. "and" indicates where the symbols goes.