Answer: 51
Step-by-step explanation: (sqrt(2))^2 + 7^2
The squareroot and square cancel, leaving 2. 7^2=7*7=49
49+2=51
Answer: the y-intercept is -7
Step-by-step explanation: Rewrite the equation in slopr intercept form and simplify:
2x-5y=35 Subtract 2x from both sides
-5y = -2x + 35 Divide both sides by -5 to isolate y
y = 2x/5 -7
Answer:
a) 
b) The lowest point of 
, 
is when x = 
Step-by-step explanation:
a) To simplify the expression 
you must:
Apply Difference of Two Squares Formula: 
Apply the Pythagorean Identity 
From the Pythagorean Identity, we know that 
Therefore,
![324[-\tan ^2\left(x\right)+\sec ^2\left(x\right))]\\324[+1]\\325](https://tex.z-dn.net/?f=324%5B-%5Ctan%20%5E2%5Cleft%28x%5Cright%29%2B%5Csec%20%5E2%5Cleft%28x%5Cright%29%29%5D%5C%5C324%5B%2B1%5D%5C%5C325)
b) According with the below graph, the lowest point of , is when x =
The answer is 1/6. To solve, simply set up an equation. It will be x/6. As you know, x can stand for anything. 1 will be the reasonable number for variable, x. Why? Well since x=1x. You don't actually write "1" Hope this makes your understanding clear.
Answer:
Length = 5
Width = 21
Step-by-step explanation:
(x)(x + 16) = 105
x^2 + 16x = 105
x^2 + 16x - 105 = 0
(x - 5) x ( x + 21) = 0
x - 10 = 0
x = 5
x + 21 = 0
x = -21
Now that we have the zeroes.
We have to find the most viable one to put in.
Using -21 would not make sense, so we will use 5.
Plug it in:
x = 5
(5) (5 + 16) = 105
5 ( 21) = 105
