Answer:
slope = 4
Step-by-step explanation:
.................
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
The ratio is 4/3 because you add AC which is 12 and then divided 9 (BC) by 12
Answer:
Angle B
Step-by-step explanation:
To find the smallest angle it is the opposite of the smallest side in the triangle in this case as all sides are given.
Answer:
(C) r=5.2 in
Step-by-step explanation:
firstly, we will draw diagram
we know that
centroid divides altitude into 2:1 form
so, we get
now, we can plug
h=7.794
so, option-C...............Answer
