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3 years ago

Please help ill mark brainliest if correct

Mathematics

2 answers:

Alex17521 [72]3 years ago

7 0

The answer is A) (3.1, 2.2)

Leto [7]3 years ago

7 0

Answer:

Step-by-step explanation:

Given the 2 equations

y = 2x - 4 → (1)

2x + 4y = 15 → (2)

Substitute y = 2x - 4 into (2)

2x + 4(2x - 4) = 15 ← distribute and simplify left side

2x + 8x - 16 = 15

10x - 16 = 15 ( add 16 to both sides )

10x = 31 ( divide both sides by 10 )

x = 3.1

Substitute x = 3.1 into (1) and evaluate for y

y = 2(3.1) - 4 = 6.2 - 4 = 2.2

solution is (3.1, 2.2 ) → A

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4 0

3 years ago

Find the polar equation of the conic with the focus at the pole, directrix x = -5, and eccentricity 2.

prohojiy [21]

Step-by-step explanation:

Given that,

Directrix, d= -5, and eccentricity, e = 2.

The polar equation of the conic is given by :

$r=\dfrac{ed}{1-e\cos\theta}$

Put all the values,

$r=\dfrac{-5\times 2}{1-2\cos\theta}\\\\=\dfrac{-10}{1-2\cos\theta}$

As e>1, it is a hyperbola. Hence, this is the required solution.

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3 years ago

I'd seriously appreciate it if anyone could help! :) I'll give Brainliest! Please show your work.

san4es73 [151]

The depth of a river changes after a heavy rainstorm. Its depth, in feet, is modeled as a function of time, in hours

y is the depth in feet and x is the time in hours

From the table we can see that

In 9 hours, the depth is 18 feet

In 18 hours , the depth is 21 feet

(9,18 ) and (18,21)

Average rate of change = $\frac{y_2-y_1}{x_2-x_1}$

= $\frac{21-18}{18-9}$

= $\frac{3}{9}$

= $\frac{1}{3}$

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8 0

4 years ago

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Please help ill mark brainliest if correct