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Rus_ich [418]
3 years ago
8

Can someone help me out with this

Mathematics
1 answer:
babymother [125]3 years ago
7 0
The answer would be x= 68 degrees
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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
Which of the following describes the graph of the
Vika [28.1K]

Answer:

c

Step-by-step explanation:

x²+y²+4x+6y=0

compare with x²+y²+2gx+2fy+c=0

centre is (-g,-f)=(-2,-3)

radius=√(g²+f²-c)=√((-2)²+(-3)²-0)=√13

7 0
3 years ago
Thomas claims: The school bus will either be on time or late. The probability that it will be on time is therefore 0.5
Veronika [31]

The answer is yes

PLEASEEEEE MARK ME AS THE BESTT LOLL

3 0
2 years ago
A plumber's daily earnings have a mean of $145 per day with a standard deviation of $16.50.
avanturin [10]

Step-by-step explanation:

The plumber's daily earnings have a mean of $145 per day with a standard deviation of

$16.50.

We want to find the probability that the plumber earns between $135 and

$175 on a given day, if the daily earnings follow a normal distribution.

That is we want to find P(135 <X<175).

Let us convert to z-scores using

z =  \frac{x -  \mu}{ \sigma}

This means that:

P(135  \: <  \: X  \: <  \: 175) = P( \frac{135 - 145}{16.5}  \: <  \:  z \:  <  \frac{175 - 145}{ 16.5} )

We simplify to get:

P(135  \: <  \: X  \: <  \: 175) = P(  - 0.61\: <  \:  z \:  <  1.82 )

From the standard n normal distribution table,

P(z<1.82)=0.9656

P(z<-0.61)=0.2709

To find the area between the two z-scores, we subtract to obtain:

P(-0.61<z<1.82)=0.9656-0.2709=0.6947

This means that:

P(135  \: <  \: X  \: <  \: 175) =0.69

The correct choice is C.

7 0
3 years ago
Solve for x
KIM [24]
7.5 ft because
6/30 = .0005 so then x we factor in equals 7.5 for
8 0
3 years ago
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