How do I solve x^2+10x-25 by completing the square

Mathematics

1 answer:

Scilla [17]3 years ago

7 0

(x-5)^2 + (x-5)^2 .........

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The velocity of a car over five hours is given by v(t)=60ln(t+1),0≤t≤5 in kilometers per hour. What is the total distance travel

algol [13]

Step-by-step explanation:

as the velocity is not constant over time, we actually have to integrate v(t) over the interval 0<=t<=5 to get the distance.

v(t) = 60×ln(t + 1)

V(t) = 60 × integral(ln(t + 1)) between 0 and 5.

integral(ln(t + 1)) = (t + 1)ln(t + 1) - t + C

V(t) = 60 × ((t + 1)ln(t + 1) - t + C)

the distance traveled between t = 0 and t = 5 is then

60 × ((5 + 1)ln(5 + 1) - 5 + C) - 60 × ((0 + 1)ln(0 + 1) - 0 + C) =

= 60×(6ln(6) - 5 + C) - 60×(1ln(1) + C) =

= 60×(5.750556815... + C) - 60×C =

= 60×5.750556815... = 345.0334089... ≈ 345 km

7 0

2 years ago

This is a lil hard can i get help?

Tamiku [17]

Answer:

A. 5+3=3+5

Step-by-step explanation:

The commutative property of addition says that changing the order of numbers does not change the sum. In this case, they both equal 8 even though the numbers are switched.

3 0

2 years ago

A recipe for pancakes requires 3/4 cup of oil. If Mr. Darcy wants to triple the recipe, how much oil will he need?

Sedbober [7]

Answer: 2 and 1/4 cups

7 0

3 years ago

What is 8x squared = 56 rounded to the nearest tenth equal?

Jlenok [28]

$8x^2=56\ /:8\\x^2=7\\x^2-7=0\\(x- \sqrt{7} )(x+ \sqrt{7} )=0\\x-\sqrt{7}=0\ \ \ \ \ or\ \ \ \ \ x+\sqrt{7}=0\\x=\sqrt{7}\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x=-\sqrt{7}\\ \\ x\approx2.65\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x-\approx2.65$

6 0

3 years ago

Read 2 more answers

The last question 4. Is 1.5 56ft PLZ HELP GOD BLESS U AND UR GRades

Contact [7]

Answer: First option.

Step-by-step explanation:

You know that the following function model the height "h" of the ball (in feet) after a time "t" (in seconds):

$h=-16t^2+48t+8$

Notice that it is a Quadratic function, therefore, it is a parabola.

Then, the x-coordinate of its vertex will give you the time in seconds in which the balll reaches its maximum height and the y-coordinate of the vertex will give you the ball's maximum height.

You can find the x-coordinate of the vertex with this formula:

$x=t=\frac{-b}{2a}$