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vodka [1.7K]
2 years ago
15

a sprinter travels a distance of 300m in a time of 26.24 seconds. what is the sprinters avarage speed round to 4 sf?

Mathematics
1 answer:
Debora [2.8K]2 years ago
8 0

22 \times 8 \\

ffgh

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Where does the normal line to the parabola y = x − x2 at the point (1, 0) intersect the parabola a second time?
Ksivusya [100]
Find the line that is normal to the parabola at the given point
remember that normal means perpendicular
perpendicular lines have slopes that multiply to -1
we can use point slope form to write the equation of the line since we are given the point (1,0)

we just need the slope

take derivitive
y'=1-2x
at x=1
y'=1-2(1)
y'=1-2
y'=-1

the slope is -1
the perpendicular of that slope is what number we can multiply to get -1
-1 times what=-1?
what=1
duh
so
point (1,0) and slope 1
y-0=1(x-1)
y=x-1 is da equation

solve for where y=x-1 and y=x-x² intersect

set equatl to each other since equal y
x-1=x-x²
x²-1=0
factor difference of 2 perfect squares
(x-1)(x+1)=0
set to zero

x-1=0
x=1
we got this point already

x+1=0
x=-1
sub back
y=-1-(-1)²
y=-1-(1)
y=-1-1
y=-2

it intersects at (-1,-2)
7 0
3 years ago
t When you reverse the digitals in a certain number you increase its value by 27. Find the number if the sum fixes digits is 9.
TiliK225 [7]
The number=10x+y
we suggest this system of equations:
(10y+x)-(10x+y)=27
x+y=9                                ⇒x=9-y

Can solve this system of equations by susbstitution method.
(10y+(9-y)-(10(9-y)+y)=27
10y+9-y-(90-10y+y)=27
10y-y+10y-y=27-9+90
18y=108
y=108/18
y=6

x=9-y
x=9-6
x=3

The number=10x+y=10(3)+6=36

Answer: the number is 36.

to check:
63-36=27
6+3=9
3 0
3 years ago
What is a reluctance
Burka [1]

unwillingness or disinclination to do something.

or: the property of a magnetic circuit of opposing the passage of magnetic flux lines, equal to the ratio of the magnetomotive force to the magnetic flux

6 0
3 years ago
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What is the probability that five people selected at random have the same birthday month?
Arturiano [62]

Answer:

Step-by-step explanation:

Uuryrurururururururu

JK the answer is 49%

5 0
3 years ago
Rylie's gross paycheck amount is $1305.60. She has 4% deducted from her paychecks for her 401(k). Her employer matches her deduc
vaieri [72.5K]
The employer contribution does not get deducted from her paycheck.  To find the amount deducted from her check we take 4% of 1305.60 = 0.04(1305.60) = $52.22.
6 0
3 years ago
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