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3 years ago

How many solutions does the following equation have? 12z- 6 + 15z = 27z- 5

2 answers:

5 0

Zero because you combine 12z and 15z because they are like terms giving you 27z. The equation now looks like 27z-6=27z-5. Subtract 27z on both sides leaving you -6=-5 which is false. So the equation has 0 solutions.

quester [9]3 years ago

3 0

WHO CARE Step-by-step explanation:

i do XD

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Can someone help me out here please?

S_A_V [24]

Step-by-step explanation:

Area of circle:

A=π*(r^2)=π*(16^2)=256π ft^2

Area of the figure:

A=(3*256π)/4=192π=603.185=603.18 ft^2

5 0

2 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

Which of the following best describes rotational symmetry

Gala2k [10]

Answer: B

Step-by-step explanation:

A best describes the quality of symmetry, not specifically rotational symmetry.

C applies to that of A.

D applies to flipping an image across an axis.

B specifically outlines the symmetry of an object when rotated, thus B would be the most precise answer.

7 0

2 years ago

Sasha runs at a constant speed of 3.5 meters per second for hour. Then, she walks at a rate o 2 1 1.6 meters per second for hour

Nadya [2.5K]

Answer:

Step-by-step explanation:

4 0

2 years ago

How would I do this? Solve for q. –10 + 10q = 9q

DerKrebs [107]

Answer:

q=10

Step-by-step explanation:

-10+10q=9q

-10=-q

q=10

4 0

2 years ago