Answer:
5164
Step-by-step explanation:
Answer:
121
Step-by-step explanation:
You are missing a parentheses
Assuming you just mean to close the parentheses
((5-(-4)^2)^2)
The first step is to complete the inside parentheses
PEMDAS
(5-(-4)^2)
Do the exponents first
(5-(16))
-11
Put this in the equation for (5-(-4)^2)
(-11) ^2
121
DE is the long narrow side, so judging from the picture, we can assume that DE is 6.
Answer:
The value of v is 3/4.
Step-by-step explanation:
First, you have to convert mixed number into improper fraction :
In order to find the value of v, you have to substract 3/4 to both sides :
Answer:
49/8 is the value of k
Step-by-step explanation:
We have the system
x = -2y^2 - 3y + 5
x=k
We want to find k such that the system intersects once.
If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.
This equation has one solution when it's discriminant is 0.
Let's first rewrite the equation in standard form.
Subtracting k on both sides gives
0=-2y^2-3y+5-k
The discriminant can be found by evaluating
b^2-4ac.
Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that
a=-2, b=-3, and c=5-k.
So we want to solve the following equation for k:
(-3)^2-4(-2)(5-k)=0
9+8(5-k)=0
Distribute:
9+40-8k=0
49-8k=0
Add 8k on both sides:
49=8k
Divide both sides by 8"
49/8=k
