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vampirchik [111]
3 years ago
15

What is the vertex of the graph of y = −4(x + 2)2 + 5? (2, 5) (−2, 5) (5, −2) (5, 2)

Mathematics
2 answers:
Reil [10]3 years ago
4 0
The answer is (-2,5). 
Valentin [98]3 years ago
3 0

Answer:

(-2,5).

Step-by-step explanation:

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What is the equation of the quadratic graph with a focus of (1, 1) and a directrix of y = −1?
JulsSmile [24]
Alright,
directix is y=something so it opens down or up

we use
(x-h)²=4p(y-k)
the vertex is (h,k)
and p is distance from focus to vertex
if focus is above directix, p is positive
if focus is below directix, p is negative

so we gts

focus=(1,1)
directix is y=-1
1>-1
focus is above

oh, vertex is in middle of focus and directix
so
beteeen (1,1) and y=-1 is, hmm
that is a distance of 2 vertically
2/2=1
1 down from (1,1) is (1,0)
vertex is (1,0)
p=1

so
(x-1)²=4(1)(y-0)
solving for y to get into f(x)=something form
(x-1)²=4y
y=1/4(x-1)²
f(x)=1/4(x-1)²

4th option
6 0
3 years ago
Find the value of x in the Diagram Below.
zhannawk [14.2K]
Answer: x = 12

Step-By-Step: 180 - 100 = 80

Step-By-Step: 80 - 12 = 68

Step-By-Step: 68 is angle ( X + 12)

68 + 12 = 80 + 100 equals 180

6 0
3 years ago
Solve the following equation 2x=12
Luden [163]
Let's solve your equation step-by-step.
2
x
=
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Step 1: Divide both sides by 2.
2
x
2
=
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2
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Answer:
x
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6 0
1 year ago
What is the volume of a cone with a diameter of 30 feet and a height of 600 feet? Use 3.14 for tt
Tomtit [17]

Answer:

the volume is about 1884

Step-by-step explanation:

v of cone= 1/3(pi)r^2h

diameter to radius is 30=5.477225575051661

so 1/3(3.14)5.477225575051661^2(60)

=1/3(3.14)30(60)

=1/3(5652)

=1884

hope this helps

7 0
2 years ago
One-fourth of a number and 6 is the same as 3 subtracted from the number itself
ratelena [41]

Answer:

I'm not the greatest at math but I'll see if I can get this right.

I'm super sorry if this is wrong

5 0
3 years ago
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