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3 years ago

How do you solve this quadratic equation by factoring 2x^2+8x-10=0

Mathematics

1 answer:

MAXImum [283]3 years ago

6 0

Answer:

(2x-2)(x+5)=0

Step-by-step explanation:

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Please Help Brainliest to whoever can give a clear explanation for this problem!

iren [92.7K]

See the attached sketch. Let $\beta$ denote angle ABC and $\beta'$ denote angle CBD. Then $\beta'=2\beta$ .

From the sketch, we see that

$\tan\beta=\dfrac15$

$\tan(\beta+\beta')=\tan(3\beta)=\dfrac{AD}5$

Write $\tan(3\beta)$ in terms of $\tan\beta$ . Recall the angle sum identity for tangent:

$\tan(x+y)=\dfrac{\tan x+\tan y}{1-\tan x\tan y}$

This gives us

$\tan(3\beta)=\dfrac{\tan\beta+\frac{2\tan\beta}{1-\tan^2\beta}}{1-\tan\beta\cdot\frac{2\tan\beta}{1-\tan^2\beta}}=\dfrac{\tan\beta(\tan^2\beta-3)}{3\tan^2\beta-1}$

and plugging in $\tan\beta=\frac15$ leaves us with

$\tan(3\beta)=\dfrac{37}{55}$

and so AD = 5 * 37/55 = 37/11.

6 0

3 years ago

Is anyone good at word problems?

Georgia [21]

Answer:

X + P = 34

330X + 250P = 9620

Step-by-step explanation:

The question tells us that there were 34 consoles sold. Therefore, we can draw the straight forward conclusion that whatever combination of consoles were sold, the number Xboxes (X) and PS4s (P) sold together has to be 34 in total. Thus:

X + P = 34

Now, we know the each Xbox sold for $330, and each PS4 sold for $250, and the total sales from the consoles bought was $9620. Thus:

$330X + $250P = $9620

Hope this helps!

4 0

3 years ago

Please help!!! A plane takes off from the airport and climbs at a steady rate. If the plane travelled

vaieri [72.5K]

Answer:

$12.0^\circ$

Step-by-step explanation:

Think of a right triangle. It may help you to draw it.

Start at a point. Draw a point and label it point A. That is where the plane takes off from. Now draw a diagonal segment tilted up to the right and stop at a point and label it B. Segment AB is the path of the airplane. Now draw a segment down vertically to a point you will label C, so that points A and C are on the same horizontal line. Connect points A and C.

You now have a right triangle. Angle C is the right angle. AB is the hypotenuse and is 5.4 km. That is the actual distance the plane traveled. BC is 1.12 km (since 1120 m = 1.12 km) and is a leg of the right triangle. The angle you are looking for is angle A.

For angle A, BC is the opposite leg. AB is the hypotenuse.

The trig ratio that relates the opposite leg to the hypotenuse is the sine.

$\sin A = \dfrac{opp}{hyp}$