Answer:
y = 5
steps:
1). Move all terms not containing y to the right side of the inequality.
5y>25
2). Divide each term by 5 and simplify.
y>5
If P is a midpoint of DE, then:
DP + PE = DE and DP = PE → 2DP = DE
We have:
DP = 3x + 2 and DE = 10x - 12
Substitute:
2(3x + 2) = 10x - 12 |use distributive property
(2)(3x) + (2)(2) = 10x - 12
6x + 4 = 10x - 12 |subtract 4 from both sides
6x = 10x - 16 |subtract 10x from both sides
-4x = -16 |divide both sides by (-4)
x = 4
Substitute the value of x to the equation DP = 3x + 2:
|DP = 3(4) + 2 = 12 + 2 = 14
Answer: DP = 14 units
Use our brains and what we know
f(x)=a(x-h)²+k
vetex is (h,k)
and a is te leading coefient
if directix is below the focus, then it opens up and a is positive
if directix is above focus, then it opens down and a is negaitve
vertex is in between directix and focus
so
(3,-1) and y=1
-1<1
so directix is above
a is negative
directly in between
distance from -1 to 1 is 2
2/2=1
1 above (3,-1) is (3,0)
vertex is (3,0)
y=a(x-3)²+0
y=a(x-3)²
the only option with a negative 'a' value is B
answer is B
