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Brrunno [24]
2 years ago
12

Simplify (a+3)-2(4+a)+5a_4​

Mathematics
1 answer:
Rainbow [258]2 years ago
5 0

Answer:

it is 4a-9....................

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Tired of WRESTLING, need you to pend this problem to the canvas... -1/2~3/4= ? "Divide"
Alexxx [7]

-2/3 is the simplified form of the expression -1/2 ÷ 3/4.

<h3>What is the simplified form of the given expression?</h3>

Given the expression in the question;

-1/2 ÷ 3/4

To divide by a fraction, multiply by its reciprocal.

-1/2 ÷ 3/4

Reciprocal of 3/4 is 4/3

Hence

-1/2 × 4/3

Next, we cancel out the common factor of 2

Factor out 2 from 4

-1/2 × 2(2)/3

-1/1 × 2/3

( -1 × 2 ) / ( 1 × 3 )

(-2) / (3)

-2/3

Therefore, the simplified form is -2/3

Learn how to solve more fraction problems here: brainly.com/question/1627825

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8 0
11 months ago
A street light is mounted at the top of a 15-ft-tall pole. A man 6 ft tall walks away from the pole with a speed of 4 ft/s along
mina [271]

Answer:

The tip of the man shadow moves at the rate of \frac{20}{3} ft.sec

Step-by-step explanation:

Let's draw a figure that describes the given situation.

Let "x" be the distance between the man and the pole and "y" be distance between the pole and man's shadows tip point.

Here it forms two similar triangles.

Let's find the distance "y" using proportion.

From the figure, we can form a proportion.

\frac{y - x}{y} = \frac{6}{15}

Cross multiplying, we get

15(y -x) = 6y

15y - 15x = 6y

15y - 6y = 15x

9y = 15x

y = \frac{15x}{9\\} y = \frac{5x}{3}

We need to find rate of change of the shadow. So we need to differentiate y with respect to the time (t).

\frac{dy}{t} = \frac{5}{3} \frac{dx}{dt} ----(1)

We are given \frac{dx}{dt} = 4 ft/sec. Plug in the equation (1), we get

\frac{dy}{dt} = \frac{5}{3} *4 ft/sect\\= \frac{20}{3} ft/sec

Here the distance between the man and the pole 45 ft does not need because we asked to find the how fast the shadow of the man moves.

7 0
3 years ago
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