Answer:
x<-5
Step-by-step explanation:
-0.4x>0.8+1.2
-0.4x>2
x<-5
Answer:
Since zero is on the origin (0,0) a 90 degree rotation will intercept the origin no matter what so, it can't be parallel.
Step-by-step explanation:
A bisector<span> is something that cuts an object into two equal parts by using rays.
Hope this helps!</span>
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
Answer:
The slope is 5/3
Step-by-step explanation:
(12,0)
(0,-20)
Changes in y is -20-0=-20
Changes in x is 0-12=-12
Rise(y) over run(x) = -20/-12
-5/-3
5/3
