The answer is: width = t - 9
A = l * w
A = t² - 4t - 45
l = t + 5
t² - 4t - 45 = (t + 5)w
Answer:
Step-by-step explanation:
Joint variations occurs when one variable depends on the value of two or more variables. The variable varies directly or indirectly with the other variables combined together. The other variables are held constant. From the given examples, the equation(s) that represent joint variations are
1) z = 3x/y
z varies directly with x and inversely with y.
2) w = abc/4
w varies inversely with a,b and c. 4 is the value of the constant of variation.
Answer:
1) h(t) = -5(t-3)^2
2) The ball reaches the highest point at 3 seconds.
Step-by-step explanation:
OK. So for this question, I recommend to rewite using vertex form since the answer is given in a more concise manner than using factored.
First Step:
h(t) = -5t^2+30t
= -5(t^2-6t)
= -5(t^2-6t+9)+45
= -5(t-3)^2+45
Second Step:
The vertex form reveals the vertex to be at (3, 45).
Therefore, the ball reaches the highest point at 3 seconds.
Plug y=2x+1 into <span>x+2y=17, we have:
x+ 2(2x+1)= 17
</span>⇒ x+ 2*2x+ 2*1= 17 (distributive property)
⇒ x+ 4x+ 2= 17
⇒ 5x= 17-2
⇒ 5x= 15
⇒ x= 15/5
⇒ x= 3
<span>
y= 2x+1= 2*3+1= 7
Final answer: x= 3, y= 7~</span>
Answer:
do you have to expand it ?
