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3 years ago

SECTION C

Mathematics

1 answer:

ki77a [65]3 years ago

7 0

Sus hahah shshsh dish

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36= -12y<br><br> This is here to fill the 20 characters

marin [14]

The answer is y=-3

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3 years ago

Read 2 more answers

The graph of x < 3 or x > 5 would look like:

Nuetrik [128]

Answer:

Solution in photo

Step-by-step explanation:

3 0

3 years ago

Sail with the equation by completing the square x^2+8x=-3

maxonik [38]

Answer:

The solutions are $x=-4(+/-)\sqrt{13}$

Step-by-step explanation:

we have

$x^{2} +8x=-3$

Complete the square. Remember to balance the equation by adding the same constants to each side

$x^{2} +8x+16=-3+16$

$x^{2} +8x+16=13$

Rewrite as perfect squares

$(x+4)^{2}=13$

square root both sides

$x+4=(+/-)\sqrt{13}$

$x=-4(+/-)\sqrt{13}$

5 0

3 years ago

A street light is at the top of a 25 ft pole. A 4 ft tall girl walks along a straight path away from the pole with a speed of 6

Burka [1]

Answer:

Tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

Step-by-step explanation:

Given : In the figure attached, Length of girl EC = 4 ft

Length of street light AB = 25 ft

Girl is moving away from the light with a speed = 6 ft per sec.

To Find : Rate ( $\frac{dw}{dt}$ ) of the tip (D) of the girl's shadow (BD) moving away from th

light.

Solution : Let the distance of the girl from the street light is = x feet

Length of the shadow CD is = y feet

Therefore, $\frac{dx}{dt}=6$ feet per sec. [Given]

In the figure attached, ΔAFE and ΔADE are similar.

By the property of similar triangles,

$\frac{x}{21}=\frac{x+y}{25}$

25x = 21(x + y)

25x = 21x + 21y

25x - 21x = 21y

4x = 21y

y = $\frac{4x}{21}$

Now we take the derivative on both the sides,

$\frac{dy}{dt}=\frac{4}{21}\times \frac{dx}{dt}$

= $\frac{4}{21}\times 6$

= $\frac{8}{7}$

≈ 1.14 ft per sec.

Since w = x + y

Therefore, $\frac{dw}{dt}= \frac{dx}{dt}+\frac{dy}{dt}$

$\frac{dw}{dt}=6+1.14$

= 7.14 ft per sec.

Therefore, tip of the shadow of the girl is moving with a rate of 7.14 feet per sec.

3 0

3 years ago

Help please!! Sylvia walked 3/4 miles east from her house to the bank. then she walked 1/3 mile west the gift shop. from the gif

Nostrana [21]

1,320 feet or 1/4 of a mile

8 0

3 years ago