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3 years ago

Solve the system by the method of elimination.

Mathematics

1 answer:

Anton [14]3 years ago

4 0

Answer:

(10, -5)

Step-by-step explanation:

Given system of equations is,

0.6x - 0.3y = 7.5

Divide this equation by 0.3

2x - y = 25 -------(1)

0.4x + 0.2y = 3

2x + y = 15 -------(2)

Now we subtract equation (2) from equation (1),

(2x - y) - (2x + y) = 25 - 15

-2y = 10

y = -5

From equation (1),

2x - (-5) = 25

2x + 5 = 25

2x = 20

x = 10

Therefore, (10, -5) will be the solution of the system of equations.

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A blimp can be seen flying at an altitude of 5500 feet above a motor speedway during a race. The slanted distance directly to th

Vladimir [108]

Answer:

The expression of h as function of x is h = $\sqrt{(d + 5500) (d - 5500)}$

Step-by-step explanation:

Given as :

The distance of blimp (AB) = 5500 feet

The slanted distance to the pagoda (BC) = d feet

The horizontal distance (AC) = h

Let the angle made between slanted distance and horizontal distance be Ф

So , cos Ф = $\frac{AC}{BC}$ = $\frac{h}{d}$

And sin Ф = $\frac{AB}{BC}$ = $\frac{5500}{d}$

∵, cos²Ф = 1 - sin²Ф

So, $(\frac{h}{d})^{2}$ = $1 - (\frac{5500}{d})^{2}$

Or, $(\frac{h}{d})^{2}$ = $(\frac{d^{2}- 5500^{2}}{d^{2}})$

Or, h² = d² - 5500²

∴ h = $\sqrt{d^{2}- 5500^{2}}$

Or, h = $\sqrt{(d + 5500) (d - 5500)}$

Hence The expression of h as function of x is h = $\sqrt{(d + 5500) (d - 5500)}$ Answer

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4 years ago

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nikitadnepr [17]

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Step-by-step explanation:

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3 years ago

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AfilCa [17]

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Step-by-step explanation:

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4 years ago

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3 years ago

Read 2 more answers

Solve by completing the square. w2 − 8w − 39 = 0 Write your answers as integers, proper or improper fractions in simplest form,

adell [148]

Answer:

4+√55= 11.42

4-√55= -3.42

Step-by-step explanation:

w² − 8w − 39 = 0
w²- 2*4w + 16- 55=0
(w-4)²=55
w-4=√55 ⇒ w= 4+√55= 11.42
w-4=- √55 ⇒ w= 4-√55= -3.42

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3 years ago