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3 years ago

F (x) = 2x^2 - 4x + 1

Mathematics

1 answer:

Kobotan [32]3 years ago

3 0

Answer:

<h2><u>tinanong ko rin po yang tanong nyo at ito po ang sagot nila</u></h2>

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A triangle has two sides of length 5 and 12. what value could the length of the third side be? More then one can be correct.

jeyben [28]

$Condition\ for\ existing\ triangle\\\\
a,b,c- sides\ of\ triangle\\\\
a+b>c\\a+c>b\\b+c>a\\
5+12=17\\\\
a)\ 712 \ , 7+12>5 \\
b)\ 512\\c)19\not5 \\\Third \side\ can\ be\ a,e,f
$

5 0

4 years ago

Integral of sin^4 (6x) dx

DENIUS [597]

Hello,

$\boxed{sin^4\ x= \frac{3}{8}- \frac{cos\ 2x}{2}+\frac{sin\ 4x}{8} }\\

Let's assume t=6x \ dt=6\ dx\\

 \int\limits {sin^4\ 6x} \, dx = \frac{1}{6} *\int\limits {sin^4\ t} \, dt \\

= \dfrac{1}{6} *( \frac{3t}{8} - \frac{sin\ 2t}{4} +\frac{sin\ 4t}{32})+C\\

= \dfrac{3x}{8} - \frac{sin\ 12x}{24} +\frac{sin\ 24x}{192} +C
$

7 0

3 years ago

Read 2 more answers

Using the same situation you described in #1, now interpret what the part-to-whole ratio 2:5 means in the situation. Use complet

aleksley [76]

Answer:

jonny buys 2 red apples and 5 green apples

Step-by-step explanation:

2:5

3 0

3 years ago

Solve for x. 3 x−1 = 9 x+2

Ratling [72]

3x − 1 = 9x +2

3x = 9x + 3

-6x = 3

x = -1/2

Hope this helps! ;)

5 0

4 years ago

Read 2 more answers

Let A=(-6,7), B=(-4,11), and C=(-2.10) be three points in the coordinate plane (A) Verify that the three points form a right tri

faust18 [17]

Answer:

(A) see below

(B) the right angle is at vertex B(-4,11)

(1) 3x -4y = -46

(E) the midpoint is (-4, 8.5)

Step-by-step explanation:

(A) The slope of line AB is Δy/Δx = (11-7)/(-4-(-6)) = 4/2 = 2. The slope of line BC is (10-11)/(-2-(-4)) = -1/2. The slopes of AB and BC have a product of 2(-1/2) = -1, so are the slopes of perpendicular lines. The points are distinct, and lines joining two pairs of them are at right angles, so the points form a right triangle.

(B) Point B(-4,11) is the point of intersection of perpendicular segments AB and BC, so is the location of the right angle.

(1) The slope of the hypotenuse AC is ...

Δy/Δx = (10-7)/(-2-(-6)) = 3/4

In point-slope form, the equation for the line through point A with this slope is ...

y -7 = 3/4(x +6) . . . . point-slope form of the equation of the hypotenuse

4y -28 = 3x +18 . . . . multiply by 4

-46 = 3x -4y . . . . . . subtract 18+4y

3x -4y = -46 . . . . . . . standard form equation of the hypotenuse

(E) The midpoint of the hypotenuse is the average of the endpoint coordinates:

M = (A + C)/2 = (-6-2, 7+10)/2 = (-4, 8.5)

The midpoint of the hypotenuse is M(-4, 8.5).

8 0

4 years ago