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KiRa [710]
3 years ago
15

What value of k makes the trinomial x^2- 10x + k a perfect square?

Mathematics
1 answer:
Advocard [28]3 years ago
3 0

Answer: 25

Step-by-step explanation:     (x-a)² = x² - 2ax + a²

  From x² - 10x + k  we deduce that 10x = 2·5x  and a = 5

Then k = 5²2

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równanie zmiany prędkość autokaru poruszającego się po prostym odcinku szosy i rozpoczynającego hamowanie od szybkości 20m/s ma
Rasek [7]

Answer:

s = 22.5 m

Step-by-step explanation:

the equation for the speed change of a coach moving along a straight section of the road and starting braking at a speed of 20 m / s has the form v (t) = 25-5t. Using integral calculus, determine the coach's braking distance.

v (t) = 25 - 5 t

at t = 0 , v = 20 m/s

Let the distance is s.

s =\int v(t) dt\\\\s =\int (25 - 5t)dt\\\\s= 25 t - 2.5 t^2 \\

Let at t = t, the v = 20

So,

20 = 25 - 5 t

t = 1 s

So, s = 25 x 1 - 2.5 x 1 = 22.5 m

3 0
2 years ago
What is 3a ^2 + a ^2 added to a +6 ?
KonstantinChe [14]

Answer:

it is a polynomial

3a^2+a^2= 4a^2

4a^2+6

Step-by-step explanation:

3a^2 +a^2 = 4a^2+6

=4a^2+6

7 0
3 years ago
Which of the following mathematical symbols represents “the opposite of”?what do they mean
Lunna [17]

The negative sign show the change in direction, that is the opposite side of the value.

In the number line, 1 is the opposite of -1, that is the digit from the left side is the opposite value of the right side.

Consider an object P is moving in positive x direction than on moving the object into its opposite direction, it will move along the negative x axis.

Answer : A) -

5 0
1 year ago
Which set of rectangular coordinates describes the same location as the polar coordinates (6sqrt 2, 3pi/4)
Sonja [21]
Polar coordinates=<span>(6sqrt 2, 3pi/4)=(r, theta)→r=6 sqrt 2, theta=3pi/4
Rectangular coordinates=(x,y)=?

x=r cos theta=(6 sqrt 2) cos(3pi/4)=(6 sqrt 2)(-sqrt 2 / 2)
x=-3 (sqrt 2)^2=-3(2)→x=-6

y=r sin theta=(6 sqrt 2) sin (3pi/4)=(6 sqrt 2)(sqrt 2 / 2)
y=3 (sqrt 2)^2=3(2)→y=6

Rectangular coordinates of the point = (x,y) =(-6,6)

Answer: Option a. (-6,6) </span>
8 0
3 years ago
3times square root of 81
algol [13]
27 because the square root of 81 is 9 and 9 times 3 is 27.
7 0
3 years ago
Read 2 more answers
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