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3 years ago

Simplify the expression: 2(4 + 6f) plz help this is my end of the year assesment Thanks!

Mathematics

2 answers:

Ganezh [65]3 years ago

7 0

Answer:

8+12f

Step-by-step explanation:

um you just multply 4 and 6 by 2

julia-pushkina [17]3 years ago

3 0

Answer:

8+12f

hope this helps

have a good day :)

Step-by-step explanation:

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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

Let the function f(x) have the form fx) = Acos(x+C). To produce a graph that matches the one shown below, what must the value of

slava [35]

Answer:

B. 4

Step-by-step explanation:

The given function is of the form:

$f(x) = A \cos(x+C).$

A is called the amplitude of the given function.

We can read from the graph that, the function ranges between:

-4 and 4

This implies that:

$|A| = 4$

Therefore the amplitude of the function is 4.

Hence the value of A must be 4.

8 0

4 years ago

ASAP plz Also show ur work if u can

guajiro [1.7K]

All the answers are gotten using the lcm method
1.8/11
2.3/23
3.1/2
4.13/15
5.8/11
6.49/30
7.22/3
8.19/60

4 0

3 years ago

Please Help!!!!!!!<br> Simplify (√5)(3√5).

kirill [66]

The answer is 15

multiply 3sqrt(25)

3*5=15

7 0

4 years ago

How to find the discriminant of

Sonbull [250]

the discriminant b^2 - 4ac when the equation is in the form of ax^2 +bx+c=0

13x^2-16x = x^2 -x

we need to get in it the standard form

subtract x^2 from each side

12x^2 -16x = -x

add x to each side

12x^2 -15x = 0

12x^2 -15x -0 =0

a=12 b=-15 c=0

b^2 -4ac

the discriminant = b^2

b^2 = (-15)2 = 225

5 0

3 years ago