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4 years ago

Show work please 100 points plus brainliest

Mathematics

1 answer:

JulsSmile [24]4 years ago

7 0

Answer:

10. :)

Step-by-step explanation:

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Ayudaaaa por fis o si no me matan jsjs

Dmitrij [34]

Answer:

28 72 85 b

Step-by-step explanation:

8 0

3 years ago

Find the slope of a line that goes through the points (2, 8) and (6,-2).

levacccp [35]

Answer:

-5/2

Step-by-step explanation:

Slope m = (y2-y1)/(x2-x1)

m = (-2 - 8)/(6 - 2) = -10/4 = -5/2

so y = mx + b

y = -5/2x + b

Using (2,8)

8 = -5/2(2) + b

8 = -5 + b

b = 13

then y = -5/2x + 13

4 0

3 years ago

A company sells widgets. The amount of profit, y, made by the company, is

denis23 [38]

Answer:

449.25 units

Step-by-step explanation:

The amount of profit, y, made by the company, is related to the selling price of each widget, x, by the given equation as follows :

$y=-x^2+51x-201$ ...(1)

For maximum profit,

Put dy/dx = 0So,

$\dfrac{d}{dx}(-x^2+51x-201)=0\\\\-2x+51=0\\\\x=\dfrac{51}{2}\\\\x=25.5$

Now put x = 25.5 in equation (1).

$y=-(25.5)^2+51(25.5)-201\\\\y=\$ 449.25$

so, the required answer is 449.25 units.

4 0

3 years ago

A right triangle has a 28° angle. what are the three angle measures of the triangle? 28°, 90°, 242° 28°, 62°, 90° 28°, 62°, 180°

Annette [7]

A right triangle has a 28° angle.
As you know a right triangle is a triangle in which one angle is a right angle that equal 90° angle.

Now you know 2 angles values: 28° and 90°

So the third angle = 90° - 28° = 62°

Answer:
28°, 62°, 90°

6 0

4 years ago

Read 2 more answers

Show that cos(3theta) = 4cos3(theta) − 3cos (theta).

Delvig [45]

Step-by-step explanation:

To prove:

$\cos 3\theta=3\cos^3 \theta-3\sin^2 \theta\cos \theta$

Identities used:

$\cos(A+B)=\cos A\cos B+\sin A\sin B$ ......(1)

$\sin 2A=2\sin A\cos A$ ........(2)

$\cos 2A=\cos^2A-\sin^2 A$ .......(3)

$\sin^2A+\cos^2A=1$ .......(4)

Taking the LHS:

$\Rightarrow \cos 3\theta=\cos (\theta +2\theta )$

Using identity 1:

$\Rightarrow \cos (\theta +2\theta )=\cos \theta \cos 2\theta-\sin \theta \sin 2\theta$

Using identities 2 and 3:

$\Rightarrow \cos \theta (\cos ^2\theta-\sin^2 \theta )-\sin \theta (2\sin \theta \cos \theta )\\\\\Rightarrow \cos^3\theta -\sin^2\theta \cos \theta -2\sin^2 \theta \cos \theta \\\\\Rightarrow \cos^3\theta -3\sin^2\theta \cos \theta$

Using identity 4:

$\Rightarrow \cos^3\theta -3(1-\cos^2\theta) \cos \theta\\\\\Rightarrow \cos^3\theta-3\cos \theta+3\cos^3\theta\\\\\Rightarrow 4\cos^3\theta -3\cos \theta$

As, LHS = RHS

Hence proved

5 0

3 years ago