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2 years ago

Find the value of x...

Mathematics

1 answer:

Allushta [10]2 years ago

3 0

Answer:

Step-by-step explanation:

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Solve the system using substitution method 3x+y=6 2x-4y=10

Andreyy89

$\left\{\begin{array}{ccc}3x+y=6&|-3x\\2x-4y=10\end{array}\right\\\\\left\{\begin{array}{ccc}y=6-3x\\2x-4y=10\end{array}\right\\\\substitute\ y=6-3x\ to\ the\ second\ equation\\\\2x-4(6-3x)=10\\\\2x-4\cdot6-4\cdot(-3x)=10\\\\2x-24+12x=10\\\\14x-24=10\ \ \ |+24\\\\14x=34\ \ \ \ |:14\\\\x=\dfrac{34}{14}\to x=\dfrac{17}{7}\\\\substitute\ the\ value\ of\ x\ to\ first\ equation\\\\y=6-3\cdot\dfrac{17}{7}=6-\dfrac{51}{7}=\dfrac{42}{7}-\dfrac{51}{7}=-\dfrac{9}{7}$

$\boxed{\left\{\begin{array}{ccc}x=\dfrac{17}{7}\\\\y=-\dfrac{9}{7}\end{array}\right}$

5 0

2 years ago

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SOMEONE HELP ME ASAP PLZZ!!!

Black_prince [1.1K]

Answer:

The distance of the plane from the base of the tower is 25.5 foot.

Step-by-step explanation:

As given

Max is in a control tower at a small airport.

He is located 50 feet above the ground when he spots a small plane on the runway at an angle of depression of 27°.

Now by using the trigonometric identity.

$tan\theta = \frac{Perpendicular}{Base}$

As shown in the figure given below

Perpendicular = CB

Base = AC = 50 feet

$\theta = 27^{\circ}$

Put in the identity.

$tan\ 27^{\circ} = \frac{CB}{AC}$

$tan\ 27^{\circ} = \frac{CB}{50}$

$tan\ 27^{\circ} = 0.51\ (Approx)$

Put in the above

$0.51 = \frac{CB}{50}$

CB = 0.51 × 50

CB = 25.5 foot

Therefore the distance of the plane from the base of the tower is 25.5 foot.

4 0

3 years ago

What is the sum of x + 9?

vovikov84 [41]

So 30/48=15/(x+9)
this could be easily solved by recognizing the proportion (the other way is usiing full algebra and doing multiply both sides by 48(x+9) and then divide both sides by 30 then subtract 9)
30 is 2 times of 15
therefor 48 is 2 times of (x+9)
48=2 times (x+9)
divide both sides by 2
24=x+9
subtract 9
15=x

x=15

5 0

3 years ago

Find the product. (−7)(8) =

Inga [223]

Answer:-56

Step-by-step explanation:The product is your answer

4 0

3 years ago

I need help on finding the value of x Can someone please help me?

Yuliya22 [10]

Answer:

x=25 degrees and the angles are vertical (opposite each other)

Step-by-step explanation:

(4x-25)=75

4x=100

x=25

3 0

3 years ago

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